Time bar (total: 18.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 21.4% | 18.7% | 68.7% | 0.1% | 0% | 12.5% | 0% | 5 |
| 26.9% | 21.9% | 59.3% | 0.1% | 0% | 18.7% | 0% | 6 |
| 33.3% | 25% | 50% | 0.1% | 0% | 18.7% | 6.2% | 7 |
| 37% | 26.5% | 45.3% | 0.1% | 0% | 21.9% | 6.2% | 8 |
| 43.9% | 28.1% | 35.9% | 0.1% | 2.3% | 21.9% | 11.7% | 9 |
| 47.1% | 28.9% | 32.4% | 0.1% | 2.7% | 23.4% | 12.5% | 10 |
| 53.3% | 30.3% | 26.5% | 0.1% | 4.1% | 23.4% | 15.5% | 11 |
| 55.2% | 30.7% | 25% | 0.1% | 4.4% | 24.2% | 15.6% | 12 |
Compiled 16 to 12 computations (25% saved)
| 2.1s | 2771× | body | 1024 | valid |
| 1.7s | 1829× | body | 2048 | valid |
| 1.4s | 1543× | body | 1024 | invalid |
| 697.0ms | 2429× | body | 256 | valid |
| 522.0ms | 1227× | body | 512 | valid |
| 394.0ms | 821× | body | 256 | infinite |
| 305.0ms | 720× | body | 512 | invalid |
| 269.0ms | 1312× | body | 256 | invalid |
| 241.0ms | 205× | body | 1024 | infinite |
| 126.0ms | 246× | body | 512 | infinite |
| 87.0ms | 332× | body | 256 | unsamplable |
| 7.0ms | 6× | body | 2048 | invalid |
| 2× | egg-herbie |
| 754× | fma-def_binary64 |
| 466× | distribute-rgt-in_binary64 |
| 438× | distribute-lft-in_binary64 |
| 424× | fma-neg_binary64 |
| 331× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 38 |
| 1 | 33 | 38 |
| 2 | 76 | 38 |
| 3 | 195 | 38 |
| 4 | 662 | 38 |
| 5 | 2258 | 38 |
| 6 | 6793 | 38 |
| 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 |
| 436× | unswap-sqr_binary64 |
| 377× | fma-def_binary64 |
| 287× | *-commutative_binary64 |
| 254× | distribute-rgt-neg-in_binary64 |
| 242× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 20 | 19 |
| 2 | 42 | 19 |
| 3 | 104 | 19 |
| 4 | 341 | 19 |
| 5 | 1130 | 19 |
| 6 | 3419 | 19 |
| 7 | 6556 | 19 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
Compiled 15 to 11 computations (26.7% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 31.4b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
Compiled 15 to 11 computations (26.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (+.f64 x 1) (/.f64 1 n)) |
| ✓ | 0.0b | (pow.f64 x (/.f64 1 n)) |
| ✓ | 1.7b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
Compiled 36 to 24 computations (33.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | 0 | (pow.f64 x (/.f64 1 n)) |
| 14.0ms | x | @ | -inf | (pow.f64 x (/.f64 1 n)) |
| 9.0ms | x | @ | inf | (pow.f64 x (/.f64 1 n)) |
| 2.0ms | x | @ | -inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 2.0ms | x | @ | inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 547× | prod-diff_binary64 |
| 465× | log-prod_binary64 |
| 316× | pow-prod-down_binary64 |
| 294× | fma-def_binary64 |
| 293× | pow-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 207 | 32 |
| 2 | 2853 | 32 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 x (/.f64 1 n)) |
(pow.f64 (+.f64 x 1) (/.f64 1 n)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 718× | times-frac_binary64 |
| 469× | cancel-sign-sub-inv_binary64 |
| 456× | fma-neg_binary64 |
| 263× | unswap-sqr_binary64 |
| 230× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 6310 |
| 1 | 1183 | 5813 |
| 2 | 3788 | 5495 |
| 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)))))) |
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(*.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) |
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1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
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(+.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 |
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(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
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(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) |
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(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
1 |
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)) |
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1 |
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(fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(+.f64 0 (pow.f64 x (/.f64 1 n))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x (/.f64 1 n)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x (/.f64 1 n)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x (/.f64 1 n))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x (/.f64 1 n)))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) 1) |
(*.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (pow.f64 x (/.f64 1 n)) 1) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (pow.f64 1 (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 n)) (pow.f64 (cbrt.f64 x) (/.f64 1 n))) |
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 1 n)) (pow.f64 (sqrt.f64 x) (/.f64 1 n))) |
(/.f64 (pow.f64 x (exp.f64 (log1p.f64 (/.f64 1 n)))) x) |
(sqrt.f64 (pow.f64 x (*.f64 2 (/.f64 1 n)))) |
(log.f64 (exp.f64 (pow.f64 x (/.f64 1 n)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 1 n))))) |
(cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3))) |
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) |
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 0 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1) |
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1) |
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (pow.f64 1 (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 2 (/.f64 1 n))) (pow.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 n))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n))) |
(/.f64 (pow.f64 (+.f64 x 1) (exp.f64 (log1p.f64 (/.f64 1 n)))) (+.f64 x 1)) |
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) |
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) |
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(exp.f64 (*.f64 (/.f64 (log1p.f64 x) 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 x n) (-.f64 (+.f64 1 (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 x n) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (/.f64 x n)) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 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 (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)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 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 (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 (/.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 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)) (*.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 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) (*.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.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 (/.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 11/24 n) n) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)))) |
(fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x))) (*.f64 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (pow.f64 x 3)) (exp.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 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x)) (*.f64 (/.f64 (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/3 n)) (/.f64 1/6 (pow.f64 n 3))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n))))) (pow.f64 x 4)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))))) |
(fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (pow.f64 x 4) (+.f64 (/.f64 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))))))))) |
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(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
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(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
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(*.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 (*.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)))) |
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(-.f64 (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
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(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
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1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 1 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
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1 |
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(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
1 |
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1 |
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(*.f64 (pow.f64 1 (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 n)) (pow.f64 (cbrt.f64 x) (/.f64 1 n))) |
(*.f64 (pow.f64 (cbrt.f64 x) (/.f64 1 n)) (pow.f64 (cbrt.f64 (*.f64 x x)) (/.f64 1 n))) |
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 1 n)) (pow.f64 (sqrt.f64 x) (/.f64 1 n))) |
(pow.f64 (sqrt.f64 x) (/.f64 2 n)) |
(/.f64 (pow.f64 x (exp.f64 (log1p.f64 (/.f64 1 n)))) x) |
(sqrt.f64 (pow.f64 x (*.f64 2 (/.f64 1 n)))) |
(pow.f64 x (/.f64 1 n)) |
(log.f64 (exp.f64 (pow.f64 x (/.f64 1 n)))) |
(pow.f64 x (/.f64 1 n)) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 1 n))))) |
(pow.f64 x (/.f64 1 n)) |
(cbrt.f64 (pow.f64 x (*.f64 (/.f64 1 n) 3))) |
(cbrt.f64 (pow.f64 x (/.f64 3 n))) |
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) |
(pow.f64 x (/.f64 1 n)) |
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) |
(pow.f64 x (/.f64 1 n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 (/.f64 (log.f64 x) n) 1)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(+.f64 0 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (pow.f64 1 (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 2 (/.f64 1 n))) (pow.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 n))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 2 n)) (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 n))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 n))) |
(pow.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 n)) |
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 2 n)) |
(/.f64 (pow.f64 (+.f64 x 1) (exp.f64 (log1p.f64 (/.f64 1 n)))) (+.f64 x 1)) |
(/.f64 (pow.f64 (+.f64 1 x) (exp.f64 (log1p.f64 (/.f64 1 n)))) (+.f64 1 x)) |
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) 1)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
Compiled 10449 to 6151 computations (41.1% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 301 | 12 | 313 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 302 | 12 | 314 |
| Status | Error | Program |
|---|---|---|
| 30.8b | (fma.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)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) | |
| 30.8b | (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) | |
| ▶ | 17.5b | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 26.8b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| 23.3b | (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) | |
| ▶ | 50.4b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 50.4b | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) | |
| ▶ | 55.5b | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
| ▶ | 30.8b | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
| ▶ | 30.8b | (-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n))) |
| 35.8b | (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) | |
| 33.2b | (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) |
Compiled 572 to 366 computations (36% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| ✓ | 3.1b | (-.f64 (log1p.f64 x) (log.f64 x)) |
Compiled 20 to 6 computations (70% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | n | @ | 0 | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 12.0ms | n | @ | inf | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 1.0ms | n | @ | -inf | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 1× | batch-egg-rewrite |
| 948× | pow1_binary64 |
| 884× | add-log-exp_binary64 |
| 884× | expm1-log1p-u_binary64 |
| 883× | log1p-expm1-u_binary64 |
| 864× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 154 | 19 |
| 2 | 2286 | 19 |
| 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)) 1))))) (#(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 (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 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 x) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)))) (#(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 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)))) (#(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 cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 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 log1p.f64 (expm1.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))))))) |
| 1× | egg-herbie |
| 646× | fma-def_binary64 |
| 571× | times-frac_binary64 |
| 416× | unswap-sqr_binary64 |
| 370× | distribute-rgt-in_binary64 |
| 342× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 224 | 1577 |
| 1 | 580 | 1515 |
| 2 | 2281 | 1511 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) 1)) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))) |
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(*.f64 1 (-.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 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x)))) |
(/.f64 1 (/.f64 (+.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 1 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.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) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))) |
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) |
(log.f64 (/.f64 (+.f64 x 1) x)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1)) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(fma.f64 1 (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))) |
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) |
(+.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(-.f64 (+.f64 1 (/.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 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 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 (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 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 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 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (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 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(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))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(exp.f64 (log.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))) |
(fma.f64 x (*.f64 x -1/2) (-.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)))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) (-.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 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 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) (/.f64 1/3 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (/.f64 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 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) (/.f64 1/3 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n)))) |
(+.f64 (/.f64 x n) (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (neg.f64 (/.f64 (log.f64 x) n)))) |
(fma.f64 -1/2 (/.f64 x (/.f64 n x)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n))))) |
(+.f64 (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (neg.f64 (/.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) (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (*.f64 x (*.f64 x n)))) |
(-.f64 (/.f64 (/.f64 1 x) 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 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))) |
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n))))) |
(+.f64 (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (*.f64 x (*.f64 x n)))) |
(-.f64 (/.f64 (/.f64 1 x) 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 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))) |
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n))))) |
(+.f64 (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
(+.f64 (+.f64 (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n)) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) 1)) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) |
(-.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 (log1p.f64 x) (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 x))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x)))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(/.f64 1 (/.f64 (+.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 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) |
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 x))) |
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log.f64 (/.f64 (+.f64 x 1) x)) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1)) |
(log1p.f64 (+.f64 (/.f64 (+.f64 x 1) x) -1)) |
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 x 1) x))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(fma.f64 1 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(+.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(-.f64 (+.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.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 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.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))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(/.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 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(/.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 (/.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)) |
(/.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) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 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) |
(log1p.f64 (expm1.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) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (pow.f64 (+.f64 x 1) (/.f64 1 n)) | |
| ✓ | 1.6b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
Compiled 27 to 19 computations (29.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | 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 |
| 920× | pow1_binary64 |
| 857× | add-log-exp_binary64 |
| 856× | log1p-expm1-u_binary64 |
| 856× | expm1-log1p-u_binary64 |
| 838× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 182 | 8 |
| 2 | 2450 | 8 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 1) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1)) (neg.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)))) (#(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 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 log1p.f64 (expm1.f64 (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 fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1))))) |
| 1× | egg-herbie |
| 572× | fma-neg_binary64 |
| 468× | associate-*l*_binary64 |
| 454× | associate-*r*_binary64 |
| 405× | fma-def_binary64 |
| 269× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 1472 |
| 1 | 459 | 1416 |
| 2 | 1439 | 1342 |
| 3 | 7686 | 1332 |
| 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 (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 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 1) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 1)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1))) |
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1)) (neg.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1) |
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3) |
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3) |
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) |
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 2)) |
(log.f64 (exp.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)) |
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) -1) |
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1) |
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.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)) |
(fma.f64 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.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 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.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 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 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) (/.f64 x n))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (*.f64 (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 x 4))))) |
(fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (+.f64 (/.f64 x n) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x) (*.f64 (-.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 11/24 (*.f64 n n))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) (pow.f64 x 4))))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n))) (*.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 x 4))) |
(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 1/24 (pow.f64 n 4)) (+.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 -1/4 (pow.f64 n 3)) (/.f64 -1/4 n)))) (pow.f64 x 4) (fma.f64 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 x n)))) |
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1) |
(expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(expm1.f64 (/.f64 (log.f64 x) n)) |
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) 1) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) |
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(+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))) |
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))) 1) |
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(-.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) |
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(+.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (*.f64 x x) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)))) (+.f64 (/.f64 (exp.f64 (/.f64 (neg.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 (expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))))) |
(+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n)))) x)))) (expm1.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1) |
(expm1.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(-.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) 1) |
(+.f64 (+.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))) -1) |
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(+.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))) |
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(fma.f64 -1 (*.f64 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x))) (expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))) |
(+.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n))) (*.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 (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) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 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))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 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)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log1p.f64 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)) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 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))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 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)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (/.f64 (log1p.f64 x) n)))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(+.f64 -1 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1) |
(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)) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) 1)) |
(*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 1) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 1)) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) 1)) |
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1))) |
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) 1)) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)))) |
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) 1)) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)) |
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) 1)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) -1)) (neg.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1) |
(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)) |
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3) |
(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)) |
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 2)) |
(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)) |
(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)) |
(log1p.f64 (expm1.f64 (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)) |
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) -1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.7b | (/.f64 1/2 (*.f64 n n)) |
| ✓ | 2.6b | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
| ✓ | 4.6b | (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
| ✓ | 9.4b | (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
Compiled 102 to 51 computations (50% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | n | @ | -inf | (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
| 1.0ms | n | @ | 0 | (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
| 1.0ms | x | @ | inf | (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
| 1.0ms | n | @ | inf | (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 586× | fma-neg_binary64 |
| 354× | expm1-udef_binary64 |
| 353× | log1p-udef_binary64 |
| 213× | add-sqr-sqrt_binary64 |
| 207× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 91 |
| 1 | 408 | 78 |
| 2 | 6408 | 78 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
(/.f64 1/2 (*.f64 n n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (pow.f64 n -2)) (*.f64 x x)) (*.f64 (/.f64 -1/2 n) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 1/2 (pow.f64 n -2))) (*.f64 (*.f64 x x) (/.f64 -1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))) (*.f64 x x)) (pow.f64 n 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (/.f64 1/8 (pow.f64 n 3))) (*.f64 x x)) (+.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 /.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 x x)) (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n)))) (pow.f64 n 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (/.f64 1/8 (pow.f64 n 3)))) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n)))) (fma.f64 1/2 (pow.f64 n -2) (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))) (/.f64 (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2)) (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (+.f64 1 (/.f64 x n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 n -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 n -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 n) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1/2) (/.f64 (/.f64 1/2 n) (sqrt.f64 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 -1/2 (/.f64 1 (*.f64 n (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) 1) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) 1) (/.f64 (sqrt.f64 (/.f64 1/2 n)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1/2 n) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 n)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 n)) (/.f64 (/.f64 1 n) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (sqrt.f64 n)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 n -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) 3)))) (#(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 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 n n) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 n 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 n -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))) 1)))))) |
| 1× | egg-herbie |
| 887× | times-frac_binary64 |
| 853× | fma-neg_binary64 |
| 268× | fma-def_binary64 |
| 173× | log-prod_binary64 |
| 171× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 455 | 7336 |
| 1 | 1268 | 6869 |
| 2 | 4828 | 6848 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(*.f64 -1/2 (/.f64 (pow.f64 x 2) n)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(*.f64 -1/2 (/.f64 (pow.f64 x 2) n)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
1 |
(+.f64 (/.f64 x n) 1) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
1 |
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1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) n)) 1) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) n)) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
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(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
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(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) (exp.f64 (/.f64 (log.f64 x) n))) |
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(/.f64 1/2 (pow.f64 n 2)) |
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(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
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(/.f64 (*.f64 (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n))) (*.f64 x x)) (pow.f64 n 3)) |
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(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 1/2 n) (*.f64 1/2 (*.f64 n n)))) (pow.f64 n 3)) |
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(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))) 3) |
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(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2))) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))) |
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(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))))) 1) |
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))) (/.f64 (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2)) (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))))) |
(*.f64 1 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 1) |
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))))) |
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(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2))) (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))) |
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(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))) 1)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n))) |
(*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))) |
(*.f64 -1/2 (/.f64 (pow.f64 x 2) n)) |
(*.f64 x (*.f64 x (/.f64 -1/2 n))) |
(*.f64 -1/2 (/.f64 x (/.f64 n x))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))) |
(*.f64 -1/2 (/.f64 (pow.f64 x 2) n)) |
(*.f64 x (*.f64 x (/.f64 -1/2 n))) |
(*.f64 -1/2 (/.f64 x (/.f64 n x))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
1 |
(+.f64 (/.f64 x n) 1) |
(+.f64 1 (/.f64 x n)) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (+.f64 1 (/.f64 x n))) |
(+.f64 1 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.f64 x n))) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (+.f64 1 (/.f64 x n))) |
(+.f64 1 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.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 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(+.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 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) (/.f64 x n)) |
(fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 x n)) |
(fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.f64 x n)) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (+.f64 1 (/.f64 x n))) |
(+.f64 1 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.f64 x n))) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (+.f64 1 (/.f64 x n))) |
(+.f64 1 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.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 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(+.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 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) (/.f64 x n)) |
(fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 x n)) |
(fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.f64 x n)) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (+.f64 1 (/.f64 x n))) |
(+.f64 1 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.f64 x n))) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (+.f64 1 (/.f64 x n))) |
(+.f64 1 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.f64 x n))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n))) |
(*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n)) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) (/.f64 x n)) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) (/.f64 x n)) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))) (/.f64 x n)) |
(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(+.f64 (/.f64 x n) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) 1)) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) (+.f64 1 (/.f64 x n))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))) (+.f64 1 (/.f64 x n))) |
(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(+.f64 (/.f64 x n) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) 1)) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) (+.f64 1 (/.f64 x n))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))) (+.f64 1 (/.f64 x n))) |
1 |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) |
(+.f64 (/.f64 x n) (fma.f64 x (*.f64 x (/.f64 -1/2 n)) 1)) |
(+.f64 (/.f64 x n) (fma.f64 -1/2 (/.f64 x (/.f64 n x)) 1)) |
(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(+.f64 (/.f64 x n) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) 1)) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) (+.f64 1 (/.f64 x n))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))) (+.f64 1 (/.f64 x n))) |
(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(+.f64 (/.f64 x n) (+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) 1)) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 x (*.f64 x (/.f64 -1/2 n)))) (+.f64 1 (/.f64 x n))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))) (+.f64 1 (/.f64 x n))) |
1 |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) n)) 1) |
(fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) n) 1) |
(-.f64 1 (/.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) n)) |
(-.f64 1 (/.f64 (-.f64 (*.f64 1/2 (*.f64 x x)) x) n)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) n)) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
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(+.f64 1 (-.f64 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) 2) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (-.f64 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (-.f64 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x n))) 2) (cbrt.f64 (+.f64 1 (/.f64 x n))) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (-.f64 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (-.f64 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 x n))) (sqrt.f64 (+.f64 1 (/.f64 x n))) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(-.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (-.f64 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) x (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (+.f64 1 (/.f64 x n)))))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n)) 3) (pow.f64 (+.f64 1 (/.f64 x n)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n)) (+.f64 1 (/.f64 x n))))))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n))) 3) (pow.f64 (+.f64 1 (/.f64 x n)) 3)) (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (*.f64 (*.f64 x x) (-.f64 (fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) -1) (/.f64 x n))) (pow.f64 (+.f64 1 (/.f64 x n)) 2))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) 3) (pow.f64 (+.f64 1 (/.f64 x n)) 3)) (fma.f64 (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (-.f64 (fma.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) -1) (/.f64 x n)) (pow.f64 (+.f64 1 (/.f64 x n)) 2))) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2))) (/.f64 1 (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) 2))) (/.f64 1 (-.f64 (+.f64 1 (/.f64 x n)) (*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n)))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 x 4) (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) 2))) (-.f64 (/.f64 x n) (fma.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) -1))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (pow.f64 (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) 2)) (-.f64 (/.f64 x n) (fma.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)) -1))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2)))) 1) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 1/2 (pow.f64 n -2)) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 (*.f64 1/2 (pow.f64 n -2)) 1) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (/.f64 1/2 n) (/.f64 1 n)) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 1 (*.f64 1/2 (pow.f64 n -2))) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4)))) |
(*.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 (pow.f64 n -2)))) |
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4)))) |
(*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 n n))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4)))) |
(*.f64 (pow.f64 n -1/2) (/.f64 (/.f64 1/2 n) (sqrt.f64 n))) |
(*.f64 (pow.f64 n -1/2) (/.f64 1/2 (*.f64 (sqrt.f64 n) n))) |
(*.f64 (pow.f64 n -1/2) (/.f64 1/2 (*.f64 n (sqrt.f64 n)))) |
(*.f64 (/.f64 1/2 n) (/.f64 (pow.f64 n -1/2) (sqrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n)) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 -1/2 (/.f64 1 (*.f64 n (neg.f64 n)))) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (pow.f64 n -2) 1/2) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) 1) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n)) |
(*.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/4 n) n)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) 1) (/.f64 (sqrt.f64 (/.f64 1/2 n)) n)) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 n))) |
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (*.f64 (cbrt.f64 n) n))) |
(/.f64 (/.f64 (/.f64 1/2 n) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n)) |
(/.f64 (/.f64 1/2 (*.f64 n (cbrt.f64 n))) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1/2 n) (cbrt.f64 n))) |
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (*.f64 (cbrt.f64 n) n))) |
(/.f64 (/.f64 (/.f64 1/2 n) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n)) |
(/.f64 (/.f64 1/2 (*.f64 n (cbrt.f64 n))) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (/.f64 (cbrt.f64 (/.f64 (/.f64 1/4 n) n)) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 n n))) (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 n)) (cbrt.f64 n))) |
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (*.f64 (cbrt.f64 n) n))) |
(/.f64 (/.f64 (/.f64 1/2 n) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n)) |
(/.f64 (/.f64 1/2 (*.f64 n (cbrt.f64 n))) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 1/2 (sqrt.f64 n)) (/.f64 (/.f64 1 n) (sqrt.f64 n))) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (sqrt.f64 n)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) (sqrt.f64 n))) |
(*.f64 (cbrt.f64 (/.f64 1/4 (*.f64 n n))) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/4 n) n)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n)) |
(pow.f64 (*.f64 1/2 (pow.f64 n -2)) 1) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) 3) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(pow.f64 (/.f64 (sqrt.f64 1/2) n) 2) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(pow.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) 1/3) |
(cbrt.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3))) |
(pow.f64 (*.f64 (*.f64 n n) 2) -1) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(sqrt.f64 (/.f64 1/4 (pow.f64 n 4))) |
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 n -2))) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 n -2))))) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(cbrt.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3))) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))) 1)) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (exp.f64 (/.f64 (log1p.f64 x) n)) |
| 0.0b | (pow.f64 x (/.f64 1 n)) | |
| ✓ | 0.1b | (/.f64 (log1p.f64 x) n) |
| ✓ | 1.9b | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
Compiled 35 to 15 computations (57.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
| 1.0ms | 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 |
| 503× | log-prod_binary64 |
| 444× | prod-diff_binary64 |
| 308× | pow-prod-down_binary64 |
| 274× | pow2_binary64 |
| 236× | pow-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 1 | 212 | 31 |
| 2 | 2840 | 31 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (log1p.f64 x) n) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 392× | log-prod_binary64 |
| 361× | fma-def_binary64 |
| 297× | exp-prod_binary64 |
| 283× | cube-prod_binary64 |
| 245× | sqr-pow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 642 | 8181 |
| 1 | 1734 | 7578 |
| 2 | 6277 | 7558 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4))))) |
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n))))) (pow.f64 x 4)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) |
(/.f64 x n) |
(+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(+.f64 (/.f64 1 (*.f64 n x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 n x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 n x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 1 (*.f64 n x)))) |
(-.f64 (+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 1 (*.f64 n x)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
1 |
(+.f64 (/.f64 x n) 1) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))))) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) |
(+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))))) |
1 |
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3)))))) |
1 |
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3)))))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.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 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
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(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 -1 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))) |
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(+.f64 (fma.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 1 (/.f64 1 n)) (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 1 (/.f64 1 n))))) |
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(*.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(*.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1) |
(*.f64 (cbrt.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))) 2))) |
(*.f64 (cbrt.f64 (pow.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 (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 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))))) |
(*.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n))))) |
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))))) |
(/.f64 1 (/.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (*.f64 x x) (/.f64 1 n))))) |
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(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 1/2) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) 2) |
(pow.f64 (/.f64 n (log1p.f64 x)) -1) |
(pow.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) 1/3) |
(pow.f64 (/.f64 (/.f64 n (log1p.f64 x)) 1) -1) |
(pow.f64 (*.f64 (pow.f64 n -3) (pow.f64 (log1p.f64 x) 3)) 1/3) |
(pow.f64 (*.f64 (cbrt.f64 (/.f64 1 n)) (cbrt.f64 (log1p.f64 x))) 3) |
(pow.f64 (*.f64 (pow.f64 n -1/2) (sqrt.f64 (log1p.f64 x))) 2) |
(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) (pow.f64 n 3))) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) n))) |
(log1p.f64 (expm1.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)) |
(+.f64 0 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1) |
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1) |
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (/.f64 (log1p.f64 x) n))) (pow.f64 (E.f64) (*.f64 1/2 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (/.f64 (log1p.f64 x) n)))) (pow.f64 (E.f64) (*.f64 1/3 (/.f64 (log1p.f64 x) n)))) |
(/.f64 1 (pow.f64 (E.f64) (/.f64 (log1p.f64 x) (neg.f64 n)))) |
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))) (E.f64)) |
(/.f64 (pow.f64 (+.f64 x 1) (exp.f64 (log1p.f64 (/.f64 1 n)))) (+.f64 x 1)) |
(pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1) |
(pow.f64 (exp.f64 (/.f64 1 n)) (log1p.f64 x)) |
(pow.f64 (E.f64) (/.f64 (log1p.f64 x) n)) |
(pow.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) 1/2) |
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 3) |
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) |
(pow.f64 (+.f64 x 1) (/.f64 1 n)) |
(pow.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3) |
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 n))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 n))) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) |
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 1)) |
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n))) |
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) 1)) |
(pow.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (neg.f64 n))) |
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 n))) |
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 n))) |
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) |
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) |
(pow.f64 (pow.f64 (E.f64) (pow.f64 n -1/2)) (/.f64 (log1p.f64 x) (sqrt.f64 n))) |
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n))) |
(pow.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1)) (/.f64 (cbrt.f64 (log1p.f64 x)) n)) |
(pow.f64 (pow.f64 (E.f64) (/.f64 (sqrt.f64 (log1p.f64 x)) 1)) (/.f64 (sqrt.f64 (log1p.f64 x)) n)) |
(pow.f64 (pow.f64 (E.f64) (pow.f64 (cbrt.f64 n) -2)) (/.f64 (log1p.f64 x) (cbrt.f64 n))) |
(pow.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) |
(pow.f64 (pow.f64 (E.f64) (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 n) 2))) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 n))) |
(pow.f64 (pow.f64 (E.f64) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 n))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 n))) |
(pow.f64 (pow.f64 (E.f64) (*.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n -2)))) (cbrt.f64 (/.f64 1 n))) |
(pow.f64 (pow.f64 (E.f64) (*.f64 (log1p.f64 x) (pow.f64 n -1/2))) (pow.f64 n -1/2)) |
(pow.f64 (pow.f64 (+.f64 x 1) (cbrt.f64 (/.f64 1 n))) (cbrt.f64 (pow.f64 n -2))) |
(pow.f64 (pow.f64 (+.f64 x 1) (cbrt.f64 (pow.f64 n -2))) (cbrt.f64 (/.f64 1 n))) |
(pow.f64 (pow.f64 (+.f64 x 1) (pow.f64 n -1/2)) (pow.f64 n -1/2)) |
(pow.f64 (pow.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 n) -2)) (cbrt.f64 (/.f64 1 n))) |
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) 1) (cbrt.f64 (/.f64 (log1p.f64 x) n))) |
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (/.f64 1 n))) |
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)))) |
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) |
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)))) |
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)))) |
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) 1) (sqrt.f64 (/.f64 (log1p.f64 x) n))) |
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) |
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (log1p.f64 x))) (pow.f64 n -1/2)) |
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)))) |
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) |
(sqrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) |
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) |
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
| Outputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (/.f64 1/2 (*.f64 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 x n) (+.f64 1 (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1/3 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)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 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 (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)) (*.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 (/.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)) (*.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 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 x 4)) (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)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)))) |
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(/.f64 (log.f64 (+.f64 1 x)) n) |
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(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log1p.f64 x) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log1p.f64 x) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
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(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log1p.f64 x) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
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(/.f64 (log.f64 (+.f64 1 x)) n) |
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(/.f64 (log1p.f64 x) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log1p.f64 x) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log1p.f64 x) n) |
1 |
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1 |
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1 |
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(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (log1p.f64 x))) (pow.f64 n -1/2)) |
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))) (sqrt.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)))) |
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)))) |
(sqrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (exp.f64 (/.f64 (log1p.f64 x) n)) | |
| 0.0b | (pow.f64 x (/.f64 1 n)) | |
| 0.1b | (/.f64 (log1p.f64 x) n) | |
| ✓ | 1.9b | (-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n))) |
Compiled 54 to 24 computations (55.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | inf | (-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | n | @ | -inf | (-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | 0 | (-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | n | @ | inf | (-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 572× | log-prod_binary64 |
| 510× | prod-diff_binary64 |
| 313× | pow2_binary64 |
| 290× | fma-def_binary64 |
| 233× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 17 |
| 1 | 278 | 17 |
| 2 | 3287 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 598× | times-frac_binary64 |
| 515× | associate-/l*_binary64 |
| 313× | cancel-sign-sub-inv_binary64 |
| 282× | distribute-rgt-in_binary64 |
| 273× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 377 | 5012 |
| 1 | 1013 | 4647 |
| 2 | 3193 | 4325 |
| 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))) |
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(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) (+.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (-.f64 (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 2)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 2) 1/2) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) |
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3)))) -1) |
(pow.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (*.f64 x x) (/.f64 1 n)))) -1) |
(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)))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (exp.f64 (pow.f64 x (/.f64 1 n))))) |
(log.f64 (/.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 1 n)))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 1 n)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (exp.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))) |
(log.f64 (*.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (/.f64 1 (exp.f64 (pow.f64 x (/.f64 1 n)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 1 (exp.f64 (pow.f64 x (/.f64 1 n)))))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) 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))))) |
(log1p.f64 (expm1.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)) |
(fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1 (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(fma.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.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)))) |
(fma.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(fma.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1 (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1 (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(fma.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) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(fma.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) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.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) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.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)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(fma.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)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.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)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (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 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(fma.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)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(fma.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)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.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 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 -1 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.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)))) |
(fma.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
| Outputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (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 (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)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) |
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(fma.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)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.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)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)))))) |
(fma.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 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 -1 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x))))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n))))) |
(+.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))))) (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x)))))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x))))) |
(fma.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.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 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) (/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(+.f64 (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))))) (/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(fma.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x))) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.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 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)))))) |
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))))) |
Compiled 45264 to 25648 computations (43.3% saved)
35 alts after pruning (35 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1510 | 32 | 1542 |
| Fresh | 4 | 3 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 0 | 4 |
| Total | 1519 | 35 | 1554 |
| Status | Error | Program |
|---|---|---|
| 30.8b | (fma.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)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) | |
| 61.9b | (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) | |
| 17.5b | (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) | |
| 55.5b | (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 3) | |
| 17.9b | (/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n) | |
| 17.6b | (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) n) | |
| 40.0b | (/.f64 (/.f64 1 x) n) | |
| 40.0b | (/.f64 (/.f64 1 n) x) | |
| 52.2b | (/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) | |
| 41.0b | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| 42.1b | (/.f64 (-.f64 x (log.f64 x)) n) | |
| 40.7b | (/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) n) | |
| ▶ | 42.0b | (/.f64 (neg.f64 (log.f64 x)) n) |
| ▶ | 17.5b | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 17.8b | (/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| 26.8b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| ▶ | 17.6b | (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n) |
| ▶ | 61.1b | (/.f64 x n) |
| 40.2b | (/.f64 1 (*.f64 x n)) | |
| 30.8b | (-.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n))) | |
| 41.0b | (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) | |
| 42.1b | (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) | |
| 50.4b | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) | |
| 56.5b | (-.f64 (+.f64 (/.f64 x n) 1) 1) | |
| ▶ | 50.6b | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n))) |
| 36.8b | (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) | |
| 30.8b | (-.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) 3)) (pow.f64 x (/.f64 1 n))) | |
| 30.8b | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n))) | |
| 44.3b | (-.f64 1 (pow.f64 x (/.f64 1 n))) | |
| 40.7b | (+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n))))) | |
| 61.9b | (+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) | |
| 17.8b | (*.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))) | |
| 17.5b | (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) | |
| 60.1b | (expm1.f64 (/.f64 (log1p.f64 x) n)) | |
| 51.2b | (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3)) |
Compiled 1090 to 742 computations (31.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x 1) x) |
| ✓ | 0.1b | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| ✓ | 3.1b | (log.f64 (/.f64 (+.f64 x 1) x)) |
Compiled 27 to 17 computations (37% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | n | @ | 0 | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 4.0ms | n | @ | inf | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 0.0ms | n | @ | -inf | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 0.0ms | x | @ | -inf | (log.f64 (/.f64 (+.f64 x 1) x)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 x 1) x) |
| 1× | batch-egg-rewrite |
| 961× | pow1_binary64 |
| 894× | add-log-exp_binary64 |
| 894× | log1p-expm1-u_binary64 |
| 894× | expm1-log1p-u_binary64 |
| 88× | add-sqr-sqrt_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 172 | 26 |
| 2 | 2386 | 26 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (+.f64 x 1) x)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (+.f64 x 1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (neg.f64 x) -1)) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)))) (#(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 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)))) (#(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 cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 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 log1p.f64 (expm1.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 -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (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 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) x) 1)))) (#(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 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)))) (#(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 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2)))) (#(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 (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 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 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 cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 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 log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) |
| 1× | egg-herbie |
| 779× | times-frac_binary64 |
| 736× | fma-def_binary64 |
| 596× | unswap-sqr_binary64 |
| 277× | log-prod_binary64 |
| 163× | div-sub_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 268 | 1699 |
| 1 | 653 | 1629 |
| 2 | 2647 | 1489 |
| 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 0 (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(+.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 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) |
(-.f64 0 (-.f64 (log.f64 x) (log1p.f64 x))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) |
(-.f64 (log.f64 (+.f64 (neg.f64 x) -1)) (log.f64 (neg.f64 x))) |
(*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(*.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 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.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 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.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 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) |
(neg.f64 (-.f64 (log.f64 x) (log1p.f64 x))) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1)) |
(exp.f64 (log.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 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 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 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))) (/.f64 1 n))) |
(*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.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 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.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 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(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)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(exp.f64 (log.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 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x))) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 x))) |
(*.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 x) (+.f64 x 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.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 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))) |
(pow.f64 (/.f64 (+.f64 x 1) x) 1) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2) |
(pow.f64 (/.f64 x (+.f64 x 1)) -1) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 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)))) |
(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)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x))) |
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| Outputs |
|---|
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 x (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x)) |
(fma.f64 x (*.f64 x -1/2) (-.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))) |
(-.f64 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) 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 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 (/.f64 1/2 x) x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 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 (/.f64 1/2 x) x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n)))) |
(+.f64 (/.f64 x n) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n))) |
(fma.f64 -1/2 (/.f64 x (/.f64 n x)) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n))))) |
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (-.f64 (/.f64 x n) (/.f64 (log.f64 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 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(-.f64 (/.f64 (/.f64 1 x) 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 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n))) |
(+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) 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 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 (/.f64 1/2 x) x) n) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
(-.f64 (+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) 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 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(-.f64 (/.f64 (/.f64 1 x) 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 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n))) |
(+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) 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 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 (/.f64 1/2 x) x) n) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
(-.f64 (+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) 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 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
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(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) 1) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 1 (/.f64 (+.f64 x 1) x)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (+.f64 x 1) (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 (+.f64 x 1) x) 1) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 x))) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 x))) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (+.f64 (neg.f64 x) -1) (/.f64 1 (neg.f64 x))) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 1 x) (+.f64 x 1)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) x)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) x)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (+.f64 1 (/.f64 1 x))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x))) |
(+.f64 1 (/.f64 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 1 (/.f64 1 x)) |
(pow.f64 (/.f64 (+.f64 x 1) x) 1) |
(+.f64 1 (/.f64 1 x)) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 1 (/.f64 1 x)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3) |
(+.f64 1 (/.f64 1 x)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3) |
(+.f64 1 (/.f64 1 x)) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2) |
(+.f64 1 (/.f64 1 x)) |
(pow.f64 (/.f64 x (+.f64 x 1)) -1) |
(+.f64 1 (/.f64 1 x)) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(+.f64 1 (/.f64 1 x)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(+.f64 1 (/.f64 1 x)) |
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x))) |
(+.f64 1 (/.f64 1 x)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2)) |
(+.f64 1 (/.f64 1 x)) |
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x)))) |
(+.f64 1 (/.f64 1 x)) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3)) |
(+.f64 1 (/.f64 1 x)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) |
(+.f64 1 (/.f64 1 x)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 1 (/.f64 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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (neg.f64 (log.f64 x)) n) |
| 1.0ms | x | @ | 0 | (/.f64 (neg.f64 (log.f64 x)) n) |
| 1.0ms | x | @ | inf | (/.f64 (neg.f64 (log.f64 x)) n) |
| 1.0ms | n | @ | inf | (/.f64 (neg.f64 (log.f64 x)) n) |
| 1.0ms | n | @ | 0 | (/.f64 (neg.f64 (log.f64 x)) n) |
| 1× | batch-egg-rewrite |
| 549× | pow1_binary64 |
| 507× | add-log-exp_binary64 |
| 506× | log1p-expm1-u_binary64 |
| 506× | expm1-log1p-u_binary64 |
| 496× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 128 | 6 |
| 2 | 1787 | 6 |
| 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) (pow.f64 n -1))))) (#(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 (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)) (pow.f64 n -1)))))) (#(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)) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) 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 (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 (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 -1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 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 (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 -1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.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 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3)))) (#(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 (sqrt.f64 (/.f64 (log.f64 x) n)) 2)))) (#(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 (pow.f64 n -1)))))) (#(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 log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 x) n))))))) |
| 1× | egg-herbie |
| 552× | log-prod_binary64 |
| 491× | fma-def_binary64 |
| 484× | associate-*l*_binary64 |
| 436× | associate-*r*_binary64 |
| 231× | unswap-sqr_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 94 | 598 |
| 1 | 223 | 517 |
| 2 | 705 | 436 |
| 3 | 4618 | 436 |
| 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) (pow.f64 n -1)) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 (log.f64 x) n) 1) |
(*.f64 1 (/.f64 (log.f64 x) 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)) (pow.f64 n -1))) |
(*.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)) (pow.f64 n -1))) |
(*.f64 (pow.f64 n -1) (log.f64 x)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.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 (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 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 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))) |
(pow.f64 (/.f64 (log.f64 x) n) 1) |
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2) |
(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 (pow.f64 n -1))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (log.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)) |
(/.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)) |
(/.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)) |
(/.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)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(-.f64 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) (pow.f64 n -1)) |
(+.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 (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)) (pow.f64 n -1))) |
(+.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)) (pow.f64 n -1))) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(*.f64 (pow.f64 n -1) (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 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n)) |
(+.f64 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)) 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 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 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) (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 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 n))) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n))) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n))) |
(+.f64 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 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 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(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 (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 (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 (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 (/.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 (pow.f64 n -1))) |
(+.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) |
(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) |
(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) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 x (/.f64 n x)) |
| ✓ | 3.6b | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n))) |
| ✓ | 4.6b | (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) |
| ✓ | 5.0b | (/.f64 (/.f64 x (/.f64 n x)) n) |
Compiled 82 to 31 computations (62.2% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | n | @ | 0 | (/.f64 x (/.f64 n x)) |
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 x (/.f64 n x)) n) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 x (/.f64 n x)) n) |
| 1.0ms | n | @ | 0 | (/.f64 (/.f64 x (/.f64 n x)) n) |
| 0.0ms | n | @ | -inf | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 515× | fma-neg_binary64 |
| 374× | log-div_binary64 |
| 307× | expm1-udef_binary64 |
| 306× | log1p-udef_binary64 |
| 263× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 70 |
| 1 | 357 | 57 |
| 2 | 5628 | 57 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 x (/.f64 n x)) n) |
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n))) |
(/.f64 x (/.f64 n x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x n) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (*.f64 n n) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (pow.f64 n -1) (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 x n) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x n)) (pow.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x n) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 x n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x n) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1) (*.f64 x (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 n -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) 2) (pow.f64 (cbrt.f64 (/.f64 x n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) (*.f64 (cbrt.f64 (/.f64 x n)) (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x n)) (*.f64 (sqrt.f64 (/.f64 x n)) (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) (*.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1/2) (/.f64 (*.f64 x (/.f64 x n)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x n) (neg.f64 x)) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x n) (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) n) (/.f64 (sqrt.f64 x) (/.f64 n x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 n n))) (/.f64 (*.f64 x (/.f64 x n)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 n)) (/.f64 (/.f64 x n) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) n) (/.f64 (cbrt.f64 x) (/.f64 n x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (/.f64 x n) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x n) 1) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) 1) (/.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 (*.f64 n n))) (/.f64 (/.f64 x n) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x n) (cbrt.f64 (*.f64 n n))) (/.f64 x (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) (cbrt.f64 (*.f64 n n))) (pow.f64 (cbrt.f64 (/.f64 x n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) (cbrt.f64 (*.f64 n n))) (/.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x n) (sqrt.f64 n)) (/.f64 x (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) (sqrt.f64 n)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x n) (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (cbrt.f64 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (/.f64 x n)) (cbrt.f64 (pow.f64 n -2))) (cbrt.f64 (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (/.f64 x n)) (pow.f64 n -1/2)) (pow.f64 n -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x n) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x n) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 x n) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (/.f64 x n)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (/.f64 x n) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 x n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 x n) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x n)) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 x n)) 3) (/.f64 (pow.f64 n -2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 x n))) 1)))))) |
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x n) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1) (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) (/.f64 x (cbrt.f64 (/.f64 n x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) (*.f64 (cbrt.f64 (/.f64 x n)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) (cbrt.f64 (*.f64 x (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x n)) (/.f64 x (sqrt.f64 (/.f64 n x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x n)) (*.f64 (sqrt.f64 (/.f64 x n)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) (sqrt.f64 (*.f64 x (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 n) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 n x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 n x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) n) (/.f64 (sqrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) n) (/.f64 (cbrt.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 n x)) 2)) (cbrt.f64 (*.f64 x (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 n x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 n x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (/.f64 n x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 n x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 n)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (cbrt.f64 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x n) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x n) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 x n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 n) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 x n)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 n x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x n) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x n))) 1)))))) |
| 1× | egg-herbie |
| 991× | fma-neg_binary64 |
| 267× | associate-*r*_binary64 |
| 262× | associate-*l*_binary64 |
| 208× | cube-prod_binary64 |
| 204× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 595 | 7470 |
| 1 | 1570 | 6809 |
| 2 | 5808 | 6755 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 n 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 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 x n) (+.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 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 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (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 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))) |
(-.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 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (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 x n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -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 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))) n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(/.f64 (pow.f64 x 2) n) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x n) 2))) 1) |
(*.f64 x (/.f64 1 (/.f64 (*.f64 n n) x))) |
(*.f64 x (*.f64 (pow.f64 n -1) (/.f64 x n))) |
(*.f64 x (*.f64 (/.f64 x n) (pow.f64 n -1))) |
(*.f64 (*.f64 x (/.f64 x n)) (pow.f64 n -1)) |
(*.f64 (pow.f64 (/.f64 x n) 2) 1) |
(*.f64 1 (pow.f64 (/.f64 x n) 2)) |
(*.f64 (/.f64 x n) (/.f64 x n)) |
(*.f64 (pow.f64 n -1) (*.f64 x (/.f64 x n))) |
(*.f64 (*.f64 x x) (pow.f64 n -2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) 2) (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) (*.f64 (cbrt.f64 (/.f64 x n)) (/.f64 x n))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) (pow.f64 n -1))) |
(*.f64 (sqrt.f64 (/.f64 x n)) (*.f64 (sqrt.f64 (/.f64 x n)) (/.f64 x n))) |
(*.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) (*.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) (pow.f64 n -1))) |
(*.f64 (pow.f64 n -1/2) (/.f64 (*.f64 x (/.f64 x n)) (sqrt.f64 n))) |
(*.f64 (*.f64 (/.f64 x n) (neg.f64 x)) (/.f64 1 (neg.f64 n))) |
(*.f64 (*.f64 (/.f64 x n) (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n))) |
(*.f64 (/.f64 (sqrt.f64 x) n) (/.f64 (sqrt.f64 x) (/.f64 n x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n n))) (/.f64 (*.f64 x (/.f64 x n)) (cbrt.f64 n))) |
(*.f64 (/.f64 x (sqrt.f64 n)) (/.f64 (/.f64 x n) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) n) (/.f64 (cbrt.f64 x) (/.f64 n x))) |
(*.f64 (/.f64 x 1) (/.f64 (/.f64 x n) n)) |
(*.f64 (/.f64 (/.f64 x n) 1) (/.f64 x n)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) n)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) 1) (/.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) n)) |
(*.f64 (/.f64 x (cbrt.f64 (*.f64 n n))) (/.f64 (/.f64 x n) (cbrt.f64 n))) |
(*.f64 (/.f64 (/.f64 x n) (cbrt.f64 (*.f64 n n))) (/.f64 x (cbrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) (cbrt.f64 (*.f64 n n))) (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) (cbrt.f64 (*.f64 n n))) (/.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) (cbrt.f64 n))) |
(*.f64 (/.f64 (/.f64 x n) (sqrt.f64 n)) (/.f64 x (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) (sqrt.f64 n)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) (sqrt.f64 n))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) 2) (pow.f64 x (*.f64 2 (pow.f64 n -1))))) (neg.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1))) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (-.f64 (*.f64 (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1))) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1)))) (*.f64 (+.f64 1 (/.f64 x n)) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) 3) (pow.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 3)) (+.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) (*.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (neg.f64 (pow.f64 x (pow.f64 n -1))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1))) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1))))) (-.f64 (+.f64 1 (/.f64 x n)) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) 2) (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1))))) (-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (neg.f64 (pow.f64 x (pow.f64 n -1))))) |
(pow.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (pow.f64 n -1))) 1) |
(pow.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (pow.f64 n -1))) 3) 1/3) |
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (pow.f64 n -1)))) 3) |
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (pow.f64 n -1)))) 2) |
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (pow.f64 n -1))) 2)) |
(log.f64 (exp.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (pow.f64 n -1))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (pow.f64 n -1)))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))))) (exp.f64 (pow.f64 x (pow.f64 n -1))))) |
(log.f64 (/.f64 (exp.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n)))) (+.f64 1 (expm1.f64 (pow.f64 x (pow.f64 n -1)))))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))))) (+.f64 1 (expm1.f64 (pow.f64 x (pow.f64 n -1)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 x n)))) (exp.f64 (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1)))))) |
(log.f64 (*.f64 (exp.f64 (+.f64 1 (/.f64 x n))) (/.f64 (exp.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2))) (exp.f64 (pow.f64 x (pow.f64 n -1)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 x n)))) (/.f64 (exp.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2))) (exp.f64 (pow.f64 x (pow.f64 n -1)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))))) (exp.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))))) |
(log.f64 (*.f64 (exp.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n)))) (/.f64 1 (exp.f64 (pow.f64 x (pow.f64 n -1)))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))))) (/.f64 1 (exp.f64 (pow.f64 x (pow.f64 n -1)))))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))) (exp.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n)))))) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 (pow.f64 x (pow.f64 n -1)))) (exp.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n)))))) |
(log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))) (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))))))) |
(log.f64 (*.f64 (/.f64 1 (exp.f64 (pow.f64 x (pow.f64 n -1)))) (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))))))) |
(log.f64 (*.f64 (exp.f64 (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1)))) (exp.f64 (+.f64 1 (/.f64 x n))))) |
(log.f64 (*.f64 (/.f64 (exp.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2))) (exp.f64 (pow.f64 x (pow.f64 n -1)))) (exp.f64 (+.f64 1 (/.f64 x n))))) |
(log.f64 (*.f64 (exp.f64 (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1)))) (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 x n)))))) |
(log.f64 (*.f64 (/.f64 (exp.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2))) (exp.f64 (pow.f64 x (pow.f64 n -1)))) (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 x n)))))) |
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (pow.f64 n -1))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (pow.f64 n -1))))) |
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (pow.f64 n -1))))) |
(exp.f64 (log1p.f64 (+.f64 (/.f64 x n) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1)))))) |
(exp.f64 (*.f64 (log1p.f64 (+.f64 (/.f64 x n) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1))))) 1)) |
(fma.f64 1 (+.f64 1 (/.f64 x n)) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 1 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) 1 (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n)))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) 2)) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) 2)) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n)))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2)) (cbrt.f64 (+.f64 1 (/.f64 x n))) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n)))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 x n))) (sqrt.f64 (+.f64 1 (/.f64 x n))) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (+.f64 1 (/.f64 x n)))))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (pow.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) 2)) (/.f64 1 (+.f64 1 (-.f64 (/.f64 x n) (/.f64 1/2 (pow.f64 (/.f64 n x) 2))))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x n)))) 1) |
(*.f64 x (/.f64 x n)) |
(*.f64 (*.f64 x (/.f64 x n)) 1) |
(*.f64 1 (*.f64 x (/.f64 x n))) |
(*.f64 (/.f64 x n) x) |
(*.f64 (pow.f64 n -1) (/.f64 x (/.f64 1 x))) |
(*.f64 (*.f64 x x) (pow.f64 n -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) (/.f64 x (cbrt.f64 (/.f64 n x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) (*.f64 (cbrt.f64 (/.f64 x n)) x)) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) (cbrt.f64 (*.f64 x (/.f64 x n)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 x n))) |
(*.f64 (sqrt.f64 (/.f64 x n)) (/.f64 x (sqrt.f64 (/.f64 n x)))) |
(*.f64 (sqrt.f64 (/.f64 x n)) (*.f64 (sqrt.f64 (/.f64 x n)) x)) |
(*.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) (sqrt.f64 (*.f64 x (/.f64 x n)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x n))) |
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 n) x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 n x))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 n x))) |
(*.f64 (/.f64 (sqrt.f64 x) n) (/.f64 (sqrt.f64 x) (/.f64 1 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) n) (/.f64 (cbrt.f64 x) (/.f64 1 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 n x)) 2)) (cbrt.f64 (*.f64 x (/.f64 x n)))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 n x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 n x)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (/.f64 n x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 n x)))) |
(*.f64 (/.f64 x 1) (/.f64 x n)) |
(*.f64 (/.f64 x (neg.f64 n)) (neg.f64 x)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (cbrt.f64 (/.f64 x n))) |
(*.f64 (*.f64 x (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n))) |
(*.f64 (*.f64 (/.f64 x n) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (*.f64 (/.f64 x n) (sqrt.f64 x)) (sqrt.f64 x)) |
(pow.f64 (*.f64 x (/.f64 x n)) 1) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 x n)) 3) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) 3) |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) 2) |
(pow.f64 (/.f64 n (*.f64 x x)) -1) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 n) x))) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) |
(log.f64 (pow.f64 (exp.f64 (/.f64 x n)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x n))))) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 n x) 3))) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x n) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x n) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x n)))) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x n)))) |
(exp.f64 (log.f64 (*.f64 x (/.f64 x n)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x n))) 1)) |
| Outputs |
|---|
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
(/.f64 (pow.f64 x 2) (pow.f64 n 2)) |
(/.f64 (*.f64 x x) (*.f64 n n)) |
(pow.f64 (/.f64 x n) 2) |
1 |
(+.f64 (/.f64 x n) 1) |
(+.f64 1 (/.f64 x n)) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)) |
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)) |
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2) |
(*.f64 1/2 (pow.f64 (/.f64 x n) 2)) |
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))) |
(+.f64 (/.f64 x n) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)) |
(fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)) |
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2)) |
(+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(*.f64 (/.f64 (*.f64 x x) (*.f64 n n)) 1/2) |
(*.f64 1/2 (pow.f64 (/.f64 x n) 2)) |
(+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))) |
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(-.f64 (+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
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(-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))))) (exp.f64 (pow.f64 x (pow.f64 n -1))))) |
(-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
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(-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
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(-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
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(exp.f64 (log1p.f64 (+.f64 (/.f64 x n) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (/.f64 1 n)))))) |
(fma.f64 1 (+.f64 1 (/.f64 x n)) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1)))) |
(+.f64 (+.f64 1 (/.f64 x n)) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (/.f64 x n) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (-.f64 (pow.f64 x (/.f64 1 n)) 1))) |
(fma.f64 1 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) 1 (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n)))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) 2)) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n)))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) 2)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))) 2))) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) 2)) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n)))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n)))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) 2)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n)))) (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))) 2))) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2)) (cbrt.f64 (+.f64 1 (/.f64 x n))) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2)) (cbrt.f64 (+.f64 1 (/.f64 x n))) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (/.f64 1 n)))) |
(-.f64 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2)) (cbrt.f64 (+.f64 1 (/.f64 x n))) (/.f64 1/2 (pow.f64 (/.f64 n x) 2))) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n)))) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n)))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(-.f64 (fma.f64 (pow.f64 (/.f64 x n) 2) 1/2 (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 x n) 2) (/.f64 x n))) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 x n))) (sqrt.f64 (+.f64 1 (/.f64 x n))) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (pow.f64 n -1)))) |
(+.f64 (+.f64 1 (/.f64 x n)) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (/.f64 x n) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (-.f64 (pow.f64 x (/.f64 1 n)) 1))) |
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (+.f64 1 (/.f64 x n)))))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (/.f64 1/8 (pow.f64 (pow.f64 (/.f64 n x) 2) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (-.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (+.f64 1 (/.f64 x n)))))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (/.f64 1/8 (pow.f64 (pow.f64 (/.f64 n x) 2) 3))) (fma.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) (-.f64 -1 (+.f64 (/.f64 x n) (/.f64 -1/2 (pow.f64 (/.f64 n x) 2)))) (pow.f64 (+.f64 1 (/.f64 x n)) 2))) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (pow.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) 2)) (/.f64 1 (+.f64 1 (-.f64 (/.f64 x n) (/.f64 1/2 (pow.f64 (/.f64 n x) 2))))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (pow.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) 2)) (/.f64 1 (-.f64 (+.f64 1 (/.f64 x n)) (/.f64 1/2 (pow.f64 (/.f64 n x) 2)))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (pow.f64 (/.f64 1/2 (pow.f64 (/.f64 n x) 2)) 2)) (+.f64 1 (+.f64 (/.f64 x n) (/.f64 -1/2 (pow.f64 (/.f64 n x) 2))))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x n)))) 1) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(*.f64 x (/.f64 x n)) |
(/.f64 (*.f64 x x) n) |
(*.f64 (*.f64 x (/.f64 x n)) 1) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(*.f64 1 (*.f64 x (/.f64 x n))) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(*.f64 (/.f64 x n) x) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(*.f64 (pow.f64 n -1) (/.f64 x (/.f64 1 x))) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(*.f64 (*.f64 x x) (pow.f64 n -1)) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) (/.f64 x (cbrt.f64 (/.f64 n x)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) (*.f64 (cbrt.f64 (/.f64 x n)) x)) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(*.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) n) 2)) (cbrt.f64 (/.f64 (*.f64 x x) n))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) (cbrt.f64 (*.f64 x (/.f64 x n)))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) (cbrt.f64 (*.f64 x (/.f64 x n)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) n) 2)) (cbrt.f64 (/.f64 (*.f64 x x) n))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 x n))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 x n) (cbrt.f64 x))) |
(*.f64 (/.f64 x n) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 x n)) (/.f64 x (sqrt.f64 (/.f64 n x)))) |
(/.f64 (*.f64 x (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 n x))) |
(/.f64 x (/.f64 (sqrt.f64 (/.f64 n x)) (sqrt.f64 (/.f64 x n)))) |
(*.f64 (sqrt.f64 (/.f64 x n)) (*.f64 (sqrt.f64 (/.f64 x n)) x)) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(*.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) (sqrt.f64 (*.f64 x (/.f64 x n)))) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x n))) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(*.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 n) x))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 1 (neg.f64 n)) x)) |
(*.f64 x (/.f64 (neg.f64 x) (neg.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 n x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 x n) (cbrt.f64 x))) |
(*.f64 (/.f64 x n) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 n x))) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(*.f64 (/.f64 (sqrt.f64 x) n) (/.f64 (sqrt.f64 x) (/.f64 1 x))) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) n) (/.f64 (cbrt.f64 x) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 x n) (cbrt.f64 x))) |
(*.f64 (/.f64 x n) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 n x)) 2)) (cbrt.f64 (*.f64 x (/.f64 x n)))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (/.f64 (*.f64 x x) n))) (pow.f64 (cbrt.f64 (/.f64 n x)) 2)) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) (cbrt.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 n x)) 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 n x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 n x)))) |
(/.f64 (/.f64 x (cbrt.f64 (/.f64 n x))) (pow.f64 (cbrt.f64 (/.f64 n x)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (/.f64 n x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 n x)))) |
(*.f64 (/.f64 x 1) (/.f64 x n)) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(*.f64 (/.f64 x (neg.f64 n)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 1 (neg.f64 n)) x)) |
(*.f64 x (/.f64 (neg.f64 x) (neg.f64 n))) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (cbrt.f64 (/.f64 x n))) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(*.f64 (*.f64 x (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n))) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(*.f64 (*.f64 (/.f64 x n) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (/.f64 x n) (cbrt.f64 x))) |
(*.f64 (/.f64 x n) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))) |
(*.f64 (*.f64 (/.f64 x n) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(pow.f64 (*.f64 x (/.f64 x n)) 1) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(pow.f64 (pow.f64 (*.f64 x (/.f64 x n)) 3) 1/3) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 x n))) 3) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 x n))) 2) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(pow.f64 (/.f64 n (*.f64 x x)) -1) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(neg.f64 (/.f64 x (/.f64 (neg.f64 n) x))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 1 (neg.f64 n)) x)) |
(*.f64 x (/.f64 (neg.f64 x) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) n) 2)) |
(fabs.f64 (*.f64 x (/.f64 x n))) |
(log.f64 (pow.f64 (exp.f64 (/.f64 x n)) x)) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x n))))) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 x n)) 3)) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 n x) 3))) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 x n) 3))) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x n) 3) (pow.f64 x 3))) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 x n)))) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 x n)))) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(exp.f64 (log.f64 (*.f64 x (/.f64 x n)))) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x n))) 1)) |
(/.f64 (*.f64 x x) n) |
(*.f64 x (/.f64 x n)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n) |
| ✓ | 0.3b | (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) |
| ✓ | 0.3b | (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) |
| 3.1b | (-.f64 (log1p.f64 x) (log.f64 x)) |
Compiled 39 to 15 computations (61.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) |
| 0.0ms | x | @ | -inf | (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) |
| 0.0ms | x | @ | -inf | (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n) |
| 0.0ms | x | @ | 0 | (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n) |
| 1× | batch-egg-rewrite |
| 460× | log-prod_binary64 |
| 418× | prod-diff_binary64 |
| 344× | exp-prod_binary64 |
| 288× | pow-prod-down_binary64 |
| 249× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 219 | 30 |
| 2 | 2649 | 30 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1) 1)))))) |
| 1× | egg-herbie |
| 773× | times-frac_binary64 |
| 234× | div-sub_binary64 |
| 233× | sqr-pow_binary64 |
| 219× | exp-prod_binary64 |
| 215× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 501 | 4025 |
| 1 | 1193 | 3935 |
| 2 | 3988 | 3919 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (pow.f64 (log.f64 x) 3)) |
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) x) (*.f64 -1 (pow.f64 (log.f64 x) 3))) |
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (*.f64 -2 (log.f64 x)))) (pow.f64 x 2)) (*.f64 -1 (pow.f64 (log.f64 x) 3)))) |
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(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 3/2)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) 1)) |
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1/3) 1)) |
(exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) 1/3)) |
(fma.f64 (log1p.f64 x) 1 (neg.f64 (log.f64 x))) |
(fma.f64 (log1p.f64 x) 1 (*.f64 (neg.f64 (log.f64 x)) 1)) |
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x))) |
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 1 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(fma.f64 1 (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) 1)) |
(fma.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(fma.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x))) |
(fma.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 1 (neg.f64 (log.f64 x)) (log1p.f64 x)) |
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x))) |
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log.f64 x))) |
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log.f64 x)) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log.f64 x)) 1)) |
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (neg.f64 (cbrt.f64 (log.f64 x))) (log1p.f64 x)) |
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x))) |
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) |
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log.f64 x)) 1)) |
(fma.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))) (log1p.f64 x)) |
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x))) |
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log1p.f64 x) 2))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x))) |
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 2) (cbrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 x)) |
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log1p.f64 x)) |
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log1p.f64 x)) |
(fma.f64 -1 (log.f64 x) (log1p.f64 x)) |
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 2)) (log.f64 x))) |
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2))) (cbrt.f64 (log.f64 x)) (log1p.f64 x)) |
(+.f64 0 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) (cbrt.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))) (/.f64 1 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 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.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 (pow.f64 n -1/2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2) 1/2) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)) 1/3) |
(pow.f64 (/.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 1) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) (sqrt.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(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 (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)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(log1p.f64 (expm1.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)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1) 1)) |
| Outputs |
|---|
(*.f64 -1 (pow.f64 (log.f64 x) 3)) |
(pow.f64 (neg.f64 (log.f64 x)) 3) |
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) x) (*.f64 -1 (pow.f64 (log.f64 x) 3))) |
(fma.f64 (*.f64 3 (pow.f64 (log.f64 x) 2)) x (pow.f64 (neg.f64 (log.f64 x)) 3)) |
(-.f64 (*.f64 x (*.f64 3 (pow.f64 (log.f64 x) 2))) (pow.f64 (log.f64 x) 3)) |
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (*.f64 -2 (log.f64 x)))) (pow.f64 x 2)) (*.f64 -1 (pow.f64 (log.f64 x) 3)))) |
(fma.f64 (*.f64 3 (pow.f64 (log.f64 x) 2)) x (fma.f64 (fma.f64 -1 (*.f64 (log.f64 x) (+.f64 (log.f64 x) 1)) (fma.f64 -1/2 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) -2))) (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 3))) |
(fma.f64 x (*.f64 3 (pow.f64 (log.f64 x) 2)) (-.f64 (*.f64 x (*.f64 x (-.f64 (fma.f64 (pow.f64 (log.f64 x) 2) -1/2 (*.f64 (log.f64 x) -2)) (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2))))) (pow.f64 (log.f64 x) 3))) |
(-.f64 (fma.f64 x (*.f64 3 (pow.f64 (log.f64 x) 2)) (*.f64 x (*.f64 x (fma.f64 (-.f64 -1 (log.f64 x)) (log.f64 x) (fma.f64 (pow.f64 (log.f64 x) 2) -1/2 (*.f64 (log.f64 x) -2)))))) (pow.f64 (log.f64 x) 3)) |
(+.f64 (*.f64 (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 2 (pow.f64 (log.f64 x) 2))) x) (+.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 2 (log.f64 x)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -2/3 (log.f64 x)) 1) (log.f64 x))) (*.f64 1/3 (pow.f64 (log.f64 x) 2))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1 (log.f64 x)) (log.f64 x))) (+.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 2)) (*.f64 -2 (log.f64 x)))) (pow.f64 x 2)) (*.f64 -1 (pow.f64 (log.f64 x) 3))))) |
(fma.f64 (*.f64 3 (pow.f64 (log.f64 x) 2)) x (fma.f64 (+.f64 1 (fma.f64 2 (log.f64 x) (fma.f64 -1 (*.f64 (log.f64 x) (fma.f64 -2/3 (log.f64 x) -1)) (*.f64 (pow.f64 (log.f64 x) 2) 1/3)))) (pow.f64 x 3) (fma.f64 (fma.f64 -1 (*.f64 (log.f64 x) (+.f64 (log.f64 x) 1)) (fma.f64 -1/2 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) -2))) (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 3)))) |
(fma.f64 x (*.f64 3 (pow.f64 (log.f64 x) 2)) (-.f64 (fma.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 2 (neg.f64 (fma.f64 (log.f64 x) -2/3 -1)))) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 1/3) 1)) (pow.f64 x 3) (*.f64 x (*.f64 x (-.f64 (fma.f64 (pow.f64 (log.f64 x) 2) -1/2 (*.f64 (log.f64 x) -2)) (+.f64 (log.f64 x) (pow.f64 (log.f64 x) 2)))))) (pow.f64 (log.f64 x) 3))) |
(fma.f64 x (*.f64 3 (pow.f64 (log.f64 x) 2)) (-.f64 (fma.f64 (+.f64 (*.f64 (log.f64 x) (-.f64 2 (fma.f64 (log.f64 x) -2/3 -1))) (+.f64 (*.f64 (pow.f64 (log.f64 x) 2) 1/3) 1)) (pow.f64 x 3) (*.f64 x (*.f64 x (fma.f64 (-.f64 -1 (log.f64 x)) (log.f64 x) (fma.f64 (pow.f64 (log.f64 x) 2) -1/2 (*.f64 (log.f64 x) -2)))))) (pow.f64 (log.f64 x) 3))) |
(/.f64 1 (pow.f64 x 3)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 (pow.f64 x 4)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3/2 (pow.f64 x 4))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -3/2 (pow.f64 x 4))) |
(-.f64 (+.f64 (*.f64 7/4 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3))) (*.f64 3/2 (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 7/4 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3/2 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -3/2 (pow.f64 x 4))) (/.f64 7/4 (pow.f64 x 5))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 7/4 (pow.f64 x 5)) (/.f64 -3/2 (pow.f64 x 4)))) |
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(*.f64 (cbrt.f64 (pow.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 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (neg.f64 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 (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 (pow.f64 (cbrt.f64 n) -2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(*.f64 (/.f64 (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 (pow.f64 (cbrt.f64 n) -2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (pow.f64 n -1/2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2) 1/2) |
(/.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 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(/.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 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)) 1/3) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 1) -1) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2)) (cbrt.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) (sqrt.f64 (log.f64 (/.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)) |
(/.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) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 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) |
(log1p.f64 (expm1.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) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1/3)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 3)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(exp.f64 (*.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) -1)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1) 1)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
Compiled 20401 to 10604 computations (48% saved)
35 alts after pruning (32 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 947 | 7 | 954 |
| Fresh | 5 | 25 | 30 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 954 | 35 | 989 |
| Status | Error | Program |
|---|---|---|
| 30.8b | (fma.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)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) | |
| 61.9b | (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) | |
| 17.5b | (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) | |
| 55.5b | (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 3) | |
| 40.0b | (/.f64 (/.f64 1 x) n) | |
| 40.0b | (/.f64 (/.f64 1 n) x) | |
| 52.2b | (/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) | |
| 41.0b | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| 17.5b | (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n) | |
| ✓ | 42.0b | (/.f64 (neg.f64 (log.f64 x)) n) |
| ▶ | 20.1b | (/.f64 (log1p.f64 (/.f64 1 x)) n) |
| 37.5b | (/.f64 (log.f64 1) n) | |
| 17.8b | (/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| ▶ | 26.8b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 42.1b | (/.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) n) | |
| ✓ | 61.1b | (/.f64 x n) |
| ▶ | 40.2b | (/.f64 1 (*.f64 x n)) |
| 30.8b | (-.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n))) | |
| 41.0b | (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) | |
| 42.1b | (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) | |
| 50.4b | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) | |
| 56.5b | (-.f64 (+.f64 (/.f64 x n) 1) 1) | |
| ✓ | 50.6b | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n))) |
| 36.8b | (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) | |
| 30.8b | (-.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) 3)) (pow.f64 x (/.f64 1 n))) | |
| ▶ | 30.8b | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n))) |
| 44.3b | (-.f64 1 (pow.f64 x (/.f64 1 n))) | |
| 40.7b | (+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n))))) | |
| 61.9b | (+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) | |
| ▶ | 17.5b | (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
| 42.0b | (*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) | |
| 27.6b | (*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) | |
| 20.7b | (*.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 n) 2))) | |
| 60.1b | (expm1.f64 (/.f64 (log1p.f64 x) n)) | |
| 51.2b | (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3)) |
Compiled 1007 to 697 computations (30.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
| 3.1b | (-.f64 (log1p.f64 x) (log.f64 x)) |
Compiled 26 to 11 computations (57.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | 0 | (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | n | @ | inf | (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
| 1× | batch-egg-rewrite |
| 962× | pow1_binary64 |
| 892× | add-log-exp_binary64 |
| 892× | expm1-log1p-u_binary64 |
| 891× | log1p-expm1-u_binary64 |
| 93× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 185 | 11 |
| 2 | 2435 | 11 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 x) (/.f64 1 n)) (*.f64 (neg.f64 (log.f64 x)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 n) (log1p.f64 x)) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 (neg.f64 n) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (neg.f64 n) (+.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 1) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) -1) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) -1) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 n)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 n)) (+.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 n) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (+.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)))) (#(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 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 n -2) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (/.f64 (pow.f64 n -2) n)))))) (#(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 log1p.f64 (expm1.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))))))) |
| 1× | egg-herbie |
| 773× | times-frac_binary64 |
| 596× | associate-*l*_binary64 |
| 463× | associate-/r*_binary64 |
| 413× | associate-/l*_binary64 |
| 232× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 1124 |
| 1 | 453 | 1108 |
| 2 | 1494 | 1104 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.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 (log1p.f64 x) (/.f64 1 n)) (*.f64 (neg.f64 (log.f64 x)) (/.f64 1 n))) |
(+.f64 (*.f64 (/.f64 1 n) (log1p.f64 x)) (*.f64 (/.f64 1 n) (neg.f64 (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 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.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 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n)) |
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 (neg.f64 n) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (neg.f64 n) (+.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 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) n)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 1) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) -1) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 n))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) -1) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) n) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n)) |
(/.f64 (*.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 n)) (+.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) (pow.f64 (log.f64 x) 2)) (/.f64 1 n)) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (*.f64 (/.f64 1 n) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (*.f64 (/.f64 1 n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) (neg.f64 n)) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(log.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3))) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 n -2) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (/.f64 (pow.f64 n -2) n))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
| Outputs |
|---|
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (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 -1/2 (/.f64 (*.f64 x x) n)))) |
(+.f64 (/.f64 x n) (-.f64 (*.f64 -1/2 (/.f64 (*.f64 x x) n)) (/.f64 (log.f64 x) n))) |
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x n) x) (/.f64 x n)) (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n))))) |
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 (*.f64 x x) n)) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x n) x) (/.f64 x n)) (/.f64 (log.f64 x) n))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(-.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 n) x) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.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 n) x) (-.f64 (/.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 -1/2 (*.f64 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 (/.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 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))) |
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 -1/2 (*.f64 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 n) x) |
(-.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 n) x) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.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 n) x) (-.f64 (/.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 -1/2 (*.f64 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 (/.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 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))) |
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 -1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(+.f64 (*.f64 (log1p.f64 x) (/.f64 1 n)) (*.f64 (neg.f64 (log.f64 x)) (/.f64 1 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(+.f64 (*.f64 (/.f64 1 n) (log1p.f64 x)) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.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 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.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)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))) |
(/.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 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 (neg.f64 n) (+.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)) n) (+.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)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))) |
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (neg.f64 n) (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 1) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) n)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.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)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 1) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) -1) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 n))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.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)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) -1) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (*.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 n)) (+.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)) n) (+.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)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 n)) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (*.f64 (/.f64 1 n) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.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)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))) |
(/.f64 (*.f64 (/.f64 1 n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) (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 (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 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(/.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) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (pow.f64 n 3))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 n -2) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) (/.f64 (pow.f64 n -2) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (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) |
(exp.f64 (log.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 |
|---|---|---|
| ✓ | 0.4b | (/.f64 1 (*.f64 x n)) |
Compiled 13 to 6 computations (53.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | n | @ | 0 | (/.f64 1 (*.f64 x n)) |
| 1.0ms | x | @ | 0 | (/.f64 1 (*.f64 x n)) |
| 0.0ms | n | @ | -inf | (/.f64 1 (*.f64 x n)) |
| 0.0ms | n | @ | inf | (/.f64 1 (*.f64 x n)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (*.f64 x n)) |
| 1× | batch-egg-rewrite |
| 544× | pow1_binary64 |
| 521× | add-sqr-sqrt_binary64 |
| 501× | add-log-exp_binary64 |
| 501× | log1p-expm1-u_binary64 |
| 501× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 119 | 7 |
| 2 | 1416 | 7 |
| 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 (/.f64 1 (cbrt.f64 (*.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)) (/.f64 1 (cbrt.f64 (*.f64 x n))))))) (#(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 -1 (/.f64 1 (*.f64 x (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 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 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))))) (#(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 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 1 (*.f64 x n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)))) (#(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 log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 x n)))))))) |
| 1× | egg-herbie |
| 796× | fma-neg_binary64 |
| 386× | exp-prod_binary64 |
| 336× | associate-/r/_binary64 |
| 322× | associate-*l*_binary64 |
| 304× | associate-*r*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 355 |
| 1 | 150 | 349 |
| 2 | 454 | 349 |
| 3 | 3174 | 349 |
| 4 | 6767 | 349 |
| 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 (/.f64 1 (cbrt.f64 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (/.f64 1 (cbrt.f64 (*.f64 x n)))) |
(*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2)) |
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n)))) |
(*.f64 (/.f64 1 x) (pow.f64 n -1)) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(*.f64 (pow.f64 n -1) (/.f64 1 x)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1)) |
(pow.f64 (*.f64 x n) -1) |
(pow.f64 (/.f64 1 (*.f64 x n)) 1) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3) |
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 3) |
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2) |
(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)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n)))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 x n)))) |
| Outputs |
|---|
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(*.f64 1 (/.f64 1 (*.f64 x n))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(*.f64 (/.f64 1 (*.f64 x n)) 1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) (cbrt.f64 (pow.f64 (*.f64 n x) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (*.f64 n x) -2)) (cbrt.f64 (*.f64 n x))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (/.f64 1 (cbrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) (cbrt.f64 (pow.f64 (*.f64 n x) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (*.f64 n x) -2)) (cbrt.f64 (*.f64 n x))) |
(*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(*.f64 (/.f64 1 x) (pow.f64 n -1)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(*.f64 (pow.f64 n -1) (/.f64 1 x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(pow.f64 (*.f64 x n) -1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(pow.f64 (/.f64 1 (*.f64 x n)) 1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x n))) 3) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(sqrt.f64 (pow.f64 (*.f64 x n) -2)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(exp.f64 (neg.f64 (log.f64 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 (/.f64 1 x)) |
| ✓ | 0.2b | (/.f64 (log1p.f64 (/.f64 1 x)) n) |
Compiled 18 to 12 computations (33.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | n | @ | 0 | (/.f64 (log1p.f64 (/.f64 1 x)) n) |
| 7.0ms | n | @ | inf | (/.f64 (log1p.f64 (/.f64 1 x)) n) |
| 0.0ms | n | @ | -inf | (/.f64 (log1p.f64 (/.f64 1 x)) n) |
| 0.0ms | x | @ | -inf | (/.f64 (log1p.f64 (/.f64 1 x)) n) |
| 0.0ms | x | @ | 0 | (/.f64 (log1p.f64 (/.f64 1 x)) n) |
| 1× | batch-egg-rewrite |
| 680× | pow1_binary64 |
| 627× | add-log-exp_binary64 |
| 627× | expm1-log1p-u_binary64 |
| 626× | log1p-expm1-u_binary64 |
| 612× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 141 | 15 |
| 2 | 1734 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(log1p.f64 (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (/.f64 1 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 1 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (log1p.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 1 x)))))))) |
| 1× | egg-herbie |
| 619× | associate-/l*_binary64 |
| 477× | times-frac_binary64 |
| 389× | unswap-sqr_binary64 |
| 383× | associate-*l/_binary64 |
| 314× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 155 | 1108 |
| 1 | 371 | 1041 |
| 2 | 1556 | 992 |
| 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 (+.f64 1 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 1) |
(*.f64 1 (/.f64 (log1p.f64 (/.f64 1 x)) n)) |
(*.f64 (log1p.f64 (/.f64 1 x)) (/.f64 1 n)) |
(*.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 1) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 n))) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 n))) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(*.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 1 n) (log1p.f64 (/.f64 1 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) n)) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) n)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 n))) |
(pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 1) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2) |
(pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1) |
(neg.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) (pow.f64 n 3))) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 x))) 1) |
(*.f64 1 (log1p.f64 (/.f64 1 x))) |
(*.f64 (log1p.f64 (/.f64 1 x)) 1) |
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 x)))) |
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))) |
(pow.f64 (log1p.f64 (/.f64 1 x)) 1) |
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) 1/3) |
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 3) |
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2) |
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) |
(log.f64 (+.f64 1 (/.f64 1 x))) |
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x)))) |
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 x)))) |
| 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 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n))) |
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x n) x) (/.f64 x n)) (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (/.f64 (*.f64 -1/2 (*.f64 x x)) n)))) |
(+.f64 (-.f64 (*.f64 -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))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (-.f64 (fma.f64 -1/2 (*.f64 (/.f64 x n) x) (/.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 (/.f64 1/2 x) x) n)) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 -1/2 (*.f64 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 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 (/.f64 1/2 x) x) n)) (/.f64 (/.f64 1/3 n) (pow.f64 x 3))) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (/.f64 (/.f64 -1/2 (*.f64 x x)) n))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 (/.f64 1/3 n) (pow.f64 x 3))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (+.f64 (/.f64 (/.f64 -1/2 (*.f64 x x)) n) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n)) (/.f64 1/3 (*.f64 n (pow.f64 x 3))))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 -1/2 (*.f64 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 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 (/.f64 1/2 x) x) n)) (/.f64 (/.f64 1/3 n) (pow.f64 x 3))) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (/.f64 (/.f64 -1/2 (*.f64 x x)) n))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(-.f64 (+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 (/.f64 1/3 n) (pow.f64 x 3))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (+.f64 (/.f64 (/.f64 -1/2 (*.f64 x x)) n) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n)) (/.f64 1/3 (*.f64 n (pow.f64 x 3))))) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(*.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))) |
(fma.f64 x (*.f64 x -1/2) (-.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)))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) (-.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 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/4 (pow.f64 x 4))))) |
(-.f64 (+.f64 1 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 1) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(*.f64 1 (/.f64 (log1p.f64 (/.f64 1 x)) n)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(*.f64 (log1p.f64 (/.f64 1 x)) (/.f64 1 n)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(*.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 1) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 n))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 n))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(*.f64 (neg.f64 (log1p.f64 (/.f64 1 x))) (/.f64 1 (neg.f64 n))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(*.f64 (/.f64 1 n) (log1p.f64 (/.f64 1 x))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) n)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 1) (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) n)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n))) |
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (log1p.f64 (/.f64 1 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n))) |
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (log1p.f64 (/.f64 1 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n))) |
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (log1p.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 n) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n))) |
(/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (log1p.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 n) (sqrt.f64 n))) |
(pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 1) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 3) 1/3) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 3) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 2) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(neg.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (neg.f64 n))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 2)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n) 3)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) (pow.f64 n 3))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 x))) 1) |
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1)) |
(+.f64 (log1p.f64 (/.f64 1 x)) 0) |
(log1p.f64 (/.f64 1 x)) |
(*.f64 1 (log1p.f64 (/.f64 1 x))) |
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1)) |
(+.f64 (log1p.f64 (/.f64 1 x)) 0) |
(log1p.f64 (/.f64 1 x)) |
(*.f64 (log1p.f64 (/.f64 1 x)) 1) |
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1)) |
(+.f64 (log1p.f64 (/.f64 1 x)) 0) |
(log1p.f64 (/.f64 1 x)) |
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2)) |
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1)) |
(+.f64 (log1p.f64 (/.f64 1 x)) 0) |
(log1p.f64 (/.f64 1 x)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 x)))) |
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1)) |
(+.f64 (log1p.f64 (/.f64 1 x)) 0) |
(log1p.f64 (/.f64 1 x)) |
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x)))) |
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1)) |
(+.f64 (log1p.f64 (/.f64 1 x)) 0) |
(log1p.f64 (/.f64 1 x)) |
(pow.f64 (log1p.f64 (/.f64 1 x)) 1) |
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1)) |
(+.f64 (log1p.f64 (/.f64 1 x)) 0) |
(log1p.f64 (/.f64 1 x)) |
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) 1/3) |
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1)) |
(+.f64 (log1p.f64 (/.f64 1 x)) 0) |
(log1p.f64 (/.f64 1 x)) |
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 3) |
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1)) |
(+.f64 (log1p.f64 (/.f64 1 x)) 0) |
(log1p.f64 (/.f64 1 x)) |
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2) |
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1)) |
(+.f64 (log1p.f64 (/.f64 1 x)) 0) |
(log1p.f64 (/.f64 1 x)) |
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) |
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1)) |
(+.f64 (log1p.f64 (/.f64 1 x)) 0) |
(log1p.f64 (/.f64 1 x)) |
(log.f64 (+.f64 1 (/.f64 1 x))) |
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1)) |
(+.f64 (log1p.f64 (/.f64 1 x)) 0) |
(log1p.f64 (/.f64 1 x)) |
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) |
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1)) |
(+.f64 (log1p.f64 (/.f64 1 x)) 0) |
(log1p.f64 (/.f64 1 x)) |
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x)))) |
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1)) |
(+.f64 (log1p.f64 (/.f64 1 x)) 0) |
(log1p.f64 (/.f64 1 x)) |
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 x)))) |
(+.f64 1 (-.f64 (log1p.f64 (/.f64 1 x)) 1)) |
(+.f64 (log1p.f64 (/.f64 1 x)) 0) |
(log1p.f64 (/.f64 1 x)) |
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) |
| ✓ | 2.8b | (/.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 | |
|---|---|---|---|---|
| 40.0ms | 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 | @ | inf | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 1.0ms | n | @ | -inf | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 1× | batch-egg-rewrite |
| 952× | pow1_binary64 |
| 881× | add-log-exp_binary64 |
| 881× | log1p-expm1-u_binary64 |
| 881× | expm1-log1p-u_binary64 |
| 861× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 165 | 26 |
| 2 | 2329 | 26 |
| 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 (+.f64 1 (/.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 (/.f64 1 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 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (/.f64 1 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 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (/.f64 1 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 n (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) n) (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) 1) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) x) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) n) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (sqrt.f64 (*.f64 x n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (/.f64 (pow.f64 x (/.f64 1 n)) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 x) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.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 (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 (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 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (log.f64 x))))) (#(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 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) 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 (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 (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 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 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 pow.f64 (/.f64 (log.f64 x) n) 1)))) (#(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 (cbrt.f64 (/.f64 (log.f64 x) n)) 3)))) (#(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 (/.f64 n (log.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 x) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 +.f64 1 (expm1.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 1 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x (/.f64 1 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))))))) |
| 1× | egg-herbie |
| 346× | associate-/l/_binary64 |
| 248× | fma-neg_binary64 |
| 225× | associate-/r/_binary64 |
| 191× | cube-prod_binary64 |
| 188× | log-pow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 250 | 2098 |
| 1 | 614 | 1747 |
| 2 | 2478 | 1745 |
| 3 | 7835 | 1745 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))) |
(/.f64 1 (*.f64 n x)) |
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(-.f64 (+.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 1) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1) |
(*.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (/.f64 1 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 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (/.f64 1 x) n))) |
(*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 n (neg.f64 x)))) |
(*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x)) |
(*.f64 (/.f64 (/.f64 1 x) n) (pow.f64 x (/.f64 1 n))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) |
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) 1) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) x) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n)) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) n) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (sqrt.f64 (*.f64 x n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n)))) |
(pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) |
(pow.f64 (/.f64 n (/.f64 (pow.f64 x (/.f64 1 n)) x)) -1) |
(neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n (neg.f64 x)))) |
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) |
(log.f64 (exp.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n)))) |
(+.f64 0 (/.f64 (log.f64 x) n)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) |
(-.f64 (+.f64 1 (/.f64 (log.f64 x) n)) 1) |
(*.f64 (log.f64 x) (/.f64 1 n)) |
(*.f64 (/.f64 (log.f64 x) n) 1) |
(*.f64 1 (/.f64 (log.f64 x) n)) |
(*.f64 (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 (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 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 1 n) (log.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.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 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n))) |
(pow.f64 (/.f64 (log.f64 x) n) 1) |
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2) |
(pow.f64 (/.f64 n (log.f64 x)) -1) |
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) |
(log.f64 (pow.f64 x (/.f64 1 n))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (log.f64 (/.f64 (log.f64 x) n))) |
(+.f64 1 (expm1.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1) |
(*.f64 (pow.f64 x (/.f64 1 n)) 1) |
(*.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) |
(pow.f64 x (/.f64 1 n)) |
(pow.f64 (pow.f64 x (/.f64 1 n)) 1) |
(pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) |
(pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3) |
(pow.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 2) |
(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))) |
(sqrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) |
(log.f64 (exp.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 1 (*.f64 x n)) |
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))) |
(+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n))) |
(+.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) (/.f64 1 (*.f64 x n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (*.f64 x n)) (+.f64 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x) (/.f64 1 (*.f64 x n)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 1 (*.f64 x n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (*.f64 x n)) (+.f64 (/.f64 1 (*.f64 x n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) x)))) |
(/.f64 1 (*.f64 n x)) |
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1 |
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1 |
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(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(+.f64 0 (/.f64 (log.f64 x) n)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(-.f64 (+.f64 1 (/.f64 (log.f64 x) n)) 1) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (log.f64 x) (/.f64 1 n)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 (log.f64 x) n) 1) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 1 (/.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 (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 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 (log.f64 x) n))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 n))) |
(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 1 n) (log.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) 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 (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 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) (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 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (pow.f64 (cbrt.f64 n) 2)) |
(*.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 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 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))) |
(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 (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 (cbrt.f64 (/.f64 (log.f64 x) n)) 3) |
(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 (/.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)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.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) |
(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) |
(log1p.f64 (expm1.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) |
(+.f64 1 (expm1.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(-.f64 (+.f64 1 (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 (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 (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)) |
(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 (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 (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 (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 (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)) |
(sqrt.f64 (pow.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)) |
(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)) |
(cbrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (exp.f64 (/.f64 (log1p.f64 x) n)) | |
| 0.0b | (pow.f64 x (/.f64 1 n)) | |
| 0.1b | (/.f64 (log1p.f64 x) n) | |
| ✓ | 1.9b | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n))) |
Compiled 78 to 38 computations (51.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | inf | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | n | @ | -inf | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | 0 | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | n | @ | inf | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 572× | log-prod_binary64 |
| 510× | prod-diff_binary64 |
| 313× | pow2_binary64 |
| 290× | fma-def_binary64 |
| 233× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 17 |
| 1 | 321 | 17 |
| 2 | 3331 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (/.f64 (log1p.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (fma.f64 -1 (pow.f64 x (/.f64 1 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(log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))))))) |
| 1× | egg-herbie |
| 598× | times-frac_binary64 |
| 523× | associate-/l*_binary64 |
| 313× | cancel-sign-sub-inv_binary64 |
| 308× | fma-neg_binary64 |
| 284× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 376 | 4348 |
| 1 | 1019 | 4038 |
| 2 | 3190 | 3778 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4))))) |
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n))))) (pow.f64 x 4)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) |
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(fma.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(fma.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1 (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1 (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.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) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(fma.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) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) |
(fma.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) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.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)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(fma.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)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) |
(fma.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)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(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)))) |
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(fma.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)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(fma.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)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) |
(fma.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 (neg.f64 (pow.f64 x (/.f64 1 n))) (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 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(fma.f64 -1 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.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)))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
| Outputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (-.f64 (+.f64 1 (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (/.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 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (/.f64 x n)) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 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 (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 n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -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 (*.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)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) 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 (+.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 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 (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 n)) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 11/24 (*.f64 n n)) (-.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n)))))))) |
(+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 -1/4 (pow.f64 n 3)) (/.f64 -1/4 n)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n)))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))) x)))) |
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (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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(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.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) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.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)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.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)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.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)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (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 (exp.f64 (/.f64 (log1p.f64 x) n)) (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))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.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)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.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)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.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 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (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)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (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))) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 -1 (pow.f64 x (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 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))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 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)) (pow.f64 x (/.f64 1 n)))))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 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))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 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)) (pow.f64 x (/.f64 1 n)))))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (/.f64 1 (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 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))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 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)) (pow.f64 x (/.f64 1 n)))))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.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 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (/.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 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (/.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 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 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 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 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (pow.f64 1 1/3) (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.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 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (cbrt.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
Compiled 20210 to 11799 computations (41.6% saved)
47 alts after pruning (41 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 845 | 19 | 864 |
| Fresh | 5 | 22 | 27 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 6 | 7 |
| Total | 852 | 47 | 899 |
| Status | Error | Program |
|---|---|---|
| 30.8b | (fma.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)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) | |
| 61.9b | (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) | |
| 20.3b | (pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1) | |
| 20.7b | (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 3) | |
| 55.5b | (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 3) | |
| 20.2b | (/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2) n) | |
| 53.8b | (/.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n))) (*.f64 x n)) | |
| 27.0b | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (*.f64 x n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2))) | |
| 26.8b | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) | |
| 40.0b | (/.f64 (/.f64 1 x) n) | |
| 40.0b | (/.f64 (/.f64 1 n) x) | |
| 52.2b | (/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) | |
| 41.0b | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| 26.8b | (/.f64 (-.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1) (*.f64 x n)) | |
| 17.5b | (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n) | |
| ✓ | 42.0b | (/.f64 (neg.f64 (log.f64 x)) n) |
| 20.6b | (/.f64 (log1p.f64 (/.f64 1 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))) | |
| ✓ | 20.1b | (/.f64 (log1p.f64 (/.f64 1 x)) n) |
| 37.5b | (/.f64 (log.f64 1) n) | |
| 20.4b | (/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x)))) n) | |
| ✓ | 26.8b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 42.1b | (/.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) n) | |
| ✓ | 61.1b | (/.f64 x n) |
| ✓ | 40.2b | (/.f64 1 (*.f64 x n)) |
| 30.8b | (-.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n))) | |
| 41.0b | (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) | |
| 42.1b | (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) | |
| 50.4b | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) | |
| 56.5b | (-.f64 (+.f64 (/.f64 x n) 1) 1) | |
| ✓ | 50.6b | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n))) |
| 43.2b | (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) | |
| 36.8b | (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) | |
| 30.8b | (-.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) 3)) (pow.f64 x (/.f64 1 n))) | |
| 30.8b | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) 3)) 3)) (pow.f64 x (/.f64 1 n))) | |
| 50.1b | (-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) 1) | |
| 44.3b | (-.f64 1 (pow.f64 x (/.f64 1 n))) | |
| 40.7b | (+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n))))) | |
| 61.9b | (+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) | |
| 26.7b | (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) | |
| 27.0b | (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n)))) | |
| 40.1b | (*.f64 (/.f64 1 x) (/.f64 1 n)) | |
| 42.1b | (*.f64 (/.f64 1 n) (-.f64 x (log.f64 x))) | |
| 42.0b | (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) | |
| 17.8b | (*.f64 (/.f64 1 n) (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) | |
| 17.8b | (*.f64 (/.f64 1 n) (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) | |
| 60.1b | (expm1.f64 (/.f64 (log1p.f64 x) n)) | |
| 51.2b | (cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3)) |
Compiled 679 to 473 computations (30.3% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x))) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(/.f64 (-.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1) (*.f64 x n)) |
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) |
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) n) |
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n))))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) n) |
(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x)))) n) |
(/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2) n) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 3) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3)) |
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n) |
(*.f64 (/.f64 1 n) (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (/.f64 1 n) (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (*.f64 x n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n)))) |
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 3) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) |
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) |
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) 1) |
(/.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n))) (*.f64 x n)) |
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n))) |
(*.f64 (cbrt.f64 (pow.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 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 n) 2))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(-.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 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 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) n) |
(-.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) 3)) (pow.f64 x (/.f64 1 n))) |
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) 3)) 3)) (pow.f64 x (/.f64 1 n))) |
(fma.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)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 x (/.f64 1 n)))) |
| Outputs |
|---|
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n))) |
4 calls:
| 140.0ms | x |
| 82.0ms | (/.f64 1 n) |
| 80.0ms | n |
| 8.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Error | Segments | Branch |
|---|---|---|
| 5.6b | 4 | x |
| 0.8b | 3 | n |
| 11.1b | 2 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 0.6b | 3 | (/.f64 1 n) |
Compiled 1009 to 519 computations (48.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.18552706932728985 | 2710273211523547.0 |
| 0.0ms | -2.9597288195421254e-17 | -1.8573994427429478e-27 |
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 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x))) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(/.f64 (-.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1) (*.f64 x n)) |
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) |
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) n) |
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n))))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 x)) 3)) n) |
(/.f64 (expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x)))) n) |
(/.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2) n) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (/.f64 1 x)) n)) 3) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3)) |
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n) |
(*.f64 (/.f64 1 n) (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (/.f64 1 n) (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (*.f64 x n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n)))) |
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 3) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) |
(-.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) |
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) 1) |
(/.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n))) (*.f64 x n)) |
(-.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) 3)) (pow.f64 x (/.f64 1 n))) |
(*.f64 (cbrt.f64 (pow.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 (/.f64 (log1p.f64 (/.f64 1 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 n) 2))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) |
| Outputs |
|---|
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
4 calls:
| 162.0ms | x |
| 140.0ms | (/.f64 1 n) |
| 89.0ms | n |
| 31.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Error | Segments | Branch |
|---|---|---|
| 5.6b | 4 | x |
| 0.8b | 3 | n |
| 11.1b | 2 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 0.7b | 3 | (/.f64 1 n) |
Compiled 842 to 434 computations (48.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.18552706932728985 | 2710273211523547.0 |
| 0.0ms | -2.9597288195421254e-17 | -1.8573994427429478e-27 |
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 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x))) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(/.f64 (-.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1) (*.f64 x n)) |
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) |
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) n) |
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n))))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 n (log1p.f64 (/.f64 1 x))) -1) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| Outputs |
|---|
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n))) |
3 calls:
| 79.0ms | n |
| 59.0ms | x |
| 44.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 5.6b | 4 | x |
| 1.1b | 4 | n |
| 1.1b | 3 | (/.f64 1 n) |
Compiled 352 to 196 computations (44.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.18552706932728985 | 2710273211523547.0 |
| 0.0ms | -2.9597288195421254e-17 | -1.8573994427429478e-27 |
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 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x))) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(/.f64 (-.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1) (*.f64 x n)) |
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) |
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) n) |
(+.f64 (/.f64 (/.f64 1 n) x) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n))))) |
| Outputs |
|---|
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
3 calls:
| 71.0ms | n |
| 47.0ms | x |
| 40.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 5.6b | 4 | x |
| 1.2b | 4 | n |
| 1.2b | 3 | (/.f64 1 n) |
Compiled 268 to 155 computations (42.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.18552706932728985 | 2710273211523547.0 |
| 0.0ms | -2.9597288195421254e-17 | -1.8573994427429478e-27 |
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 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x))) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) |
| Outputs |
|---|
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
3 calls:
| 51.0ms | (/.f64 1 n) |
| 44.0ms | x |
| 42.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 5.6b | 4 | x |
| 1.3b | 4 | n |
| 1.3b | 3 | (/.f64 1 n) |
Compiled 190 to 111 computations (41.6% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 94.0ms | 3.6896649228874684e-16 | 5.390049029642632 |
| 341.0ms | -2.8047661122988896e-286 | 9.225070896788367e-267 |
| 43.0ms | -9.854542162827292e+27 | -5.383871540971457e+26 |
| 190.0ms | 149× | body | 1024 | infinite |
| 78.0ms | 321× | body | 256 | unsamplable |
| 73.0ms | 30× | body | 2048 | valid |
| 30.0ms | 66× | body | 512 | infinite |
| 29.0ms | 167× | body | 256 | valid |
| 23.0ms | 51× | body | 1024 | valid |
| 14.0ms | 38× | body | 512 | valid |
| 12.0ms | 53× | body | 256 | infinite |
Compiled 371 to 284 computations (23.5% 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 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x))) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
| Outputs |
|---|
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
3 calls:
| 68.0ms | x |
| 39.0ms | n |
| 33.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 5.7b | 4 | x |
| 1.3b | 4 | n |
| 1.3b | 3 | (/.f64 1 n) |
Compiled 179 to 104 computations (41.9% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 71.0ms | 3.6896649228874684e-16 | 5.390049029642632 |
| 145.0ms | -2.8047661122988896e-286 | 9.225070896788367e-267 |
| 65.0ms | -5.383871540971457e+26 | -33786879169379496.0 |
| 93.0ms | 67× | body | 1024 | infinite |
| 50.0ms | 86× | body | 1024 | valid |
| 42.0ms | 182× | body | 256 | valid |
| 33.0ms | 180× | body | 256 | unsamplable |
| 20.0ms | 21× | body | 2048 | valid |
| 18.0ms | 39× | body | 512 | infinite |
| 10.0ms | 36× | body | 512 | valid |
| 9.0ms | 47× | body | 256 | infinite |
| 1.0ms | 1× | body | 2048 | infinite |
Compiled 420 to 315 computations (25% 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 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x))) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| Outputs |
|---|
(/.f64 (log.f64 1) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
3 calls:
| 97.0ms | x |
| 37.0ms | n |
| 28.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 13.1b | 6 | x |
| 1.6b | 4 | n |
| 1.6b | 3 | (/.f64 1 n) |
Compiled 170 to 100 computations (41.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.18552706932728985 | 2710273211523547.0 |
| 0.0ms | -23.279468864864832 | -0.3970822999169444 |
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 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 (/.f64 1 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 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
| Outputs |
|---|
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 1) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
3 calls:
| 60.0ms | x |
| 23.0ms | n |
| 16.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 14.3b | 4 | x |
| 7.4b | 3 | n |
| 7.4b | 2 | (/.f64 1 n) |
Compiled 130 to 78 computations (40% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 110.0ms | -2.8047661122988896e-286 | 9.225070896788367e-267 |
| 32.0ms | -2.5183696181098094 | -0.042956306512184954 |
| 41.0ms | 44× | body | 1024 | infinite |
| 30.0ms | 154× | body | 256 | unsamplable |
| 28.0ms | 38× | body | 512 | infinite |
| 14.0ms | 28× | body | 1024 | valid |
| 11.0ms | 66× | body | 256 | valid |
| 6.0ms | 4× | body | 2048 | valid |
| 5.0ms | 27× | body | 256 | infinite |
| 5.0ms | 18× | body | 512 | valid |
Compiled 132 to 106 computations (19.7% 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 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 (/.f64 1 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) |
| Outputs |
|---|
(/.f64 (neg.f64 (log.f64 x)) n) |
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(/.f64 (log.f64 1) n) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (log.f64 1) n) |
3 calls:
| 57.0ms | n |
| 46.0ms | (/.f64 1 n) |
| 38.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.9b | 5 | x |
| 21.8b | 9 | n |
| 22.3b | 7 | (/.f64 1 n) |
Compiled 104 to 65 computations (37.5% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 75.0ms | 4.514951256752239e+138 | 2.6448316531975092e+144 |
| 63.0ms | 1.3597577796535511e+98 | 3.848889554012455e+103 |
| 54.0ms | 9.293484151240269e+73 | 1.9413295524167803e+78 |
| 57.0ms | 0.007108775097592891 | 203432.49931708514 |
| 89.0ms | 224× | body | 1024 | valid |
| 87.0ms | 131× | body | 2048 | valid |
| 34.0ms | 148× | body | 256 | valid |
| 15.0ms | 57× | body | 512 | valid |
| 10.0ms | 37× | body | 256 | unsamplable |
| 6.0ms | 33× | body | 256 | infinite |
Compiled 690 to 520 computations (24.6% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 (/.f64 1 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 x) n) |
(/.f64 (log.f64 1) n) |
(/.f64 (/.f64 1 x) n) |
3 calls:
| 281.0ms | n |
| 36.0ms | x |
| 14.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 34.2b | 4 | x |
| 27.2b | 3 | n |
| 27.3b | 2 | (/.f64 1 n) |
Compiled 99 to 62 computations (37.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 104.0ms | 9.915094863209378e-86 | 4.717564732470176e-84 |
| 32.0ms | -2.5183696181098094 | -0.042956306512184954 |
| 59.0ms | 126× | body | 512 | valid |
| 37.0ms | 178× | body | 256 | unsamplable |
| 14.0ms | 31× | body | 1024 | valid |
| 12.0ms | 67× | body | 256 | valid |
| 11.0ms | 36× | body | 256 | infinite |
| 0.0ms | 1× | body | 512 | infinite |
Compiled 230 to 183 computations (20.4% 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 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 (/.f64 1 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 x) n) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (/.f64 1 x) n) |
3 calls:
| 17.0ms | n |
| 11.0ms | (/.f64 1 n) |
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 37.1b | 2 | x |
| 32.9b | 3 | n |
| 32.9b | 2 | (/.f64 1 n) |
Compiled 95 to 59 computations (37.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 57.0ms | -3.1309825139276544e-242 | -2.4422805241524903e-247 |
| 43.0ms | -403367.26462462055 | -2.5183696181098094 |
| 40.0ms | 228× | body | 256 | valid |
| 28.0ms | 125× | body | 256 | infinite |
| 23.0ms | 47× | body | 1024 | valid |
| 3.0ms | 11× | body | 512 | valid |
| 2.0ms | 2× | body | 2048 | valid |
Compiled 380 to 303 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 (/.f64 x n) 1) 1) |
| Outputs |
|---|
(/.f64 (/.f64 1 x) n) |
3 calls:
| 5.0ms | x |
| 4.0ms | (/.f64 1 n) |
| 4.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 40.0b | 1 | x |
| 40.0b | 1 | n |
| 40.0b | 1 | (/.f64 1 n) |
Compiled 45 to 29 computations (35.6% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
| Outputs |
|---|
(/.f64 (/.f64 1 n) x) |
3 calls:
| 3.0ms | (/.f64 1 n) |
| 3.0ms | n |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 40.0b | 1 | x |
| 40.0b | 1 | n |
| 40.0b | 1 | (/.f64 1 n) |
Compiled 26 to 17 computations (34.6% saved)
Total -21.4b remaining (-53.4%)
Threshold costs -21.4b (-53.4%)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
| Outputs |
|---|
(/.f64 1 (*.f64 x n)) |
2 calls:
| 3.0ms | n |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 40.2b | 1 | x |
| 40.2b | 1 | n |
Compiled 16 to 10 computations (37.5% saved)
| 1× | egg-herbie |
| 16× | +-commutative_binary64 |
| 13× | sub-neg_binary64 |
| 9× | *-commutative_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 624 |
| 1 | 133 | 624 |
| 2 | 150 | 624 |
| 3 | 161 | 624 |
| 4 | 171 | 624 |
| 5 | 174 | 624 |
| 6 | 175 | 624 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 n -540000000000000001677721600) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 n 5854679515581645/1125899906842624) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n)))) |
(if (<=.f64 n -34000000000000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 n 5854679515581645/1125899906842624) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n)))) |
(if (<=.f64 (/.f64 1 n) -20) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 n -4728779608739021/2251799813685248) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.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 560000000000000000642666609563218561255944201381929682444359833429616608935936) (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (if (<=.f64 x 165000000000000014037156774936544769379792043893270719455532084134159027095209194719484930347237376) (/.f64 (log.f64 1) n) (if (<=.f64 x 1350000000000000075379297654816724413414409829804403819283507037451954516920471220070497732554612807074217153707865064474058779051282419951861760) (/.f64 (/.f64 1 n) x) (/.f64 (log.f64 1) n))))) |
(if (<=.f64 n -5/2) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 5030676667000927/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 x) n))) |
(if (<=.f64 n -5) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -7714757926955103/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 x) n))) |
(/.f64 (/.f64 1 x) n) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 x n)) |
(/.f64 x n) |
| Outputs |
|---|
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (/.f64 (/.f64 x (/.f64 n x)) n))) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -6490371073168535/324518553658426726783156020576256) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 n -540000000000000001677721600) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (if (<=.f64 n 5854679515581645/1125899906842624) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n)))) |
(if (<=.f64 n -34000000000000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 n 5854679515581645/1125899906842624) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n)))) |
(if (<=.f64 n -34000000000000000) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n x)) (if (<=.f64 n 5854679515581645/1125899906842624) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n)))) |
(if (<=.f64 (/.f64 1 n) -20) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -20) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 3602879701896397/18014398509481984) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 n -4728779608739021/2251799813685248) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(if (<=.f64 n -4728779608739021/2251799813685248) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -3005331030472625/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.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 560000000000000000642666609563218561255944201381929682444359833429616608935936) (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (if (<=.f64 x 165000000000000014037156774936544769379792043893270719455532084134159027095209194719484930347237376) (/.f64 (log.f64 1) n) (if (<=.f64 x 1350000000000000075379297654816724413414409829804403819283507037451954516920471220070497732554612807074217153707865064474058779051282419951861760) (/.f64 (/.f64 1 n) x) (/.f64 (log.f64 1) n))))) |
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 560000000000000000642666609563218561255944201381929682444359833429616608935936) (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (if (<=.f64 x 165000000000000014037156774936544769379792043893270719455532084134159027095209194719484930347237376) (/.f64 0 n) (if (<=.f64 x 1350000000000000075379297654816724413414409829804403819283507037451954516920471220070497732554612807074217153707865064474058779051282419951861760) (/.f64 (/.f64 1 n) x) (/.f64 0 n))))) |
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 560000000000000000642666609563218561255944201381929682444359833429616608935936) (+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 (/.f64 -1/2 x) x) n)) (if (<=.f64 x 165000000000000014037156774936544769379792043893270719455532084134159027095209194719484930347237376) (/.f64 0 n) (if (<=.f64 x 1350000000000000075379297654816724413414409829804403819283507037451954516920471220070497732554612807074217153707865064474058779051282419951861760) (/.f64 (/.f64 1 n) x) (/.f64 0 n))))) |
(if (<=.f64 n -5/2) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 5030676667000927/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 x) n))) |
(if (<=.f64 n -5/2) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 5030676667000927/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912) (/.f64 0 n) (/.f64 (/.f64 1 x) n))) |
(if (<=.f64 n -5) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -7714757926955103/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 x) n))) |
(if (<=.f64 n -5) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -7714757926955103/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696) (+.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) -1) (/.f64 (/.f64 1 x) n))) |
(/.f64 (/.f64 1 x) n) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 x n)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 x n) |
Compiled 453 to 319 computations (29.6% saved)
| 4× | egg-herbie |
| 779× | times-frac_binary64 |
| 736× | fma-def_binary64 |
| 718× | times-frac_binary64 |
| 718× | times-frac_binary64 |
| 718× | times-frac_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 6310 |
| 1 | 1183 | 5813 |
| 2 | 3788 | 5495 |
| 0 | 470 | 6310 |
| 1 | 1183 | 5813 |
| 2 | 3788 | 5495 |
| 0 | 268 | 1699 |
| 1 | 653 | 1629 |
| 2 | 2647 | 1489 |
| 0 | 470 | 6310 |
| 1 | 1183 | 5813 |
| 2 | 3788 | 5495 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 261 to 189 computations (27.6% saved)
Compiled 425 to 286 computations (32.7% saved)
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