Time bar (total: 21.0s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 12.5% | 84.3% | 3.2% | 7 |
| 19.5% | 76.5% | 4% | 8 |
| 29.3% | 59.7% | 11% | 9 |
| 33.4% | 54.2% | 12.4% | 10 |
| 38.6% | 44.1% | 17.3% | 11 |
| 40.8% | 40.7% | 18.5% | 12 |
Compiled 18 to 12 computations (33.3% saved)
| 3.0s | 1867× | body | 2048 | valid |
| 1.9s | 2716× | body | 1024 | valid |
| 610.0ms | 1194× | body | 512 | valid |
| 427.0ms | 2448× | body | 256 | valid |
| 176.0ms | 1163× | body | 256 | invalid |
| 137.0ms | 227× | body | 512 | invalid |
| 114.0ms | 157× | body | 1024 | invalid |
| 71.0ms | 31× | body | 4096 | valid |
| 24.0ms | 22× | body | 2048 | invalid |
| 2× | egg-herbie |
| 530× | times-frac_binary64 |
| 481× | associate-*l*_binary64 |
| 456× | associate-*r*_binary64 |
| 361× | associate-/l*_binary64 |
| 342× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 44 |
| 1 | 48 | 44 |
| 2 | 123 | 40 |
| 3 | 329 | 40 |
| 4 | 1050 | 40 |
| 5 | 5867 | 40 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) 1) (/.f64 n i))) |
| Outputs |
|---|
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(*.f64 100 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n))) |
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)) |
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n)) |
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) 1) (/.f64 n i))) |
(*.f64 100 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) -1) n) i)) |
(*.f64 100 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) -1) (/.f64 n i))) |
(*.f64 i (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 n i)) i) -100) n)) |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
| 701× | fma-def_binary64 |
| 558× | associate-/r/_binary64 |
| 482× | associate-/r*_binary64 |
| 475× | associate-*l/_binary64 |
| 406× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 29 | 22 |
| 2 | 68 | 20 |
| 3 | 172 | 20 |
| 4 | 529 | 20 |
| 5 | 2360 | 20 |
| 6 | 7202 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| Outputs |
|---|
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n)) |
(*.f64 100 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n))) |
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n)) |
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)) |
Compiled 31 to 19 computations (38.7% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 49.0b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| ▶ | 49.1b | (*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)) |
Compiled 33 to 22 computations (33.3% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 6.8b | (pow.f64 (+.f64 1 (/.f64 i n)) n) | |
| 1.3b | (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) | |
| 0.0b | (*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)) | |
| 0.0b | (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) | |
| ✓ | 0.0b | (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) |
| ✓ | 0.0b | (*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)) |
| ✓ | 1.3b | (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) |
| ✓ | 6.8b | (pow.f64 (+.f64 1 (/.f64 i n)) n) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | i | @ | -inf | (*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)) |
| 3.0ms | n | @ | -inf | (pow.f64 (+.f64 1 (/.f64 i n)) n) |
| 3.0ms | n | @ | 0 | (*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)) |
| 3.0ms | i | @ | inf | (*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)) |
| 2.0ms | i | @ | inf | (pow.f64 (+.f64 1 (/.f64 i n)) n) |
| 1× | batch-egg-rewrite |
| 605× | log-prod_binary64 |
| 331× | pow2_binary64 |
| 319× | prod-diff_binary64 |
| 240× | fma-def_binary64 |
| 235× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 61 |
| 1 | 262 | 61 |
| 2 | 3416 | 61 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (+.f64 1 (/.f64 i n)) n) |
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) |
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)) |
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i) |
| Outputs |
|---|
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(fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100) i))))))) |
| 1× | egg-herbie |
| 807× | associate-/r*_binary64 |
| 544× | fma-def_binary64 |
| 408× | associate-/r/_binary64 |
| 311× | +-commutative_binary64 |
| 245× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 424 | 5710 |
| 1 | 1476 | 5322 |
| 2 | 5475 | 4829 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 i) |
(+.f64 1 (+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 1 (+.f64 i (+.f64 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3)) (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))))) |
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2)) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2)) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) |
1 |
(+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) (+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) (+.f64 1 (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))) |
(exp.f64 i) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (exp.f64 i) (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))))) |
(exp.f64 i) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)))) |
(*.f64 100 i) |
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (+.f64 (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (*.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))))))))) |
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100) |
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) 100) |
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) 100) |
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3)))))) 100) |
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))))) 100) |
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))) |
(-.f64 (*.f64 100 (exp.f64 i)) 100) |
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100) |
(-.f64 (*.f64 100 (exp.f64 i)) 100) |
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100) |
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(-.f64 (+.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 (pow.f64 n 2) i))) (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)))) (*.f64 100 (/.f64 1 i))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)) (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 3) i)))))) (*.f64 100 (/.f64 1 i))) |
| Outputs |
|---|
1 |
(+.f64 1 i) |
(+.f64 1 (+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 (+.f64 1 i) (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)))) |
(+.f64 1 (fma.f64 (*.f64 i i) (+.f64 1/2 (/.f64 -1/2 n)) i)) |
(+.f64 1 (+.f64 i (+.f64 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (+.f64 1 i) (fma.f64 (pow.f64 i 3) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n)) (*.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n))))) |
(+.f64 (+.f64 1 i) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (*.f64 i (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))) |
(+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) |
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) |
(pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) |
(pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) |
(*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) |
(+.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) |
(+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))))) |
(*.f64 (+.f64 (/.f64 (*.f64 n n) i) 1) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2)))) |
(+.f64 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (+.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (*.f64 i i) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))))))) |
(+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (+.f64 (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 3))) i)))) |
(+.f64 (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 3))) (/.f64 (/.f64 (*.f64 i i) (pow.f64 i n)) (pow.f64 n (neg.f64 n)))) (*.f64 (+.f64 (/.f64 (*.f64 n n) i) 1) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3)) (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))))) |
(+.f64 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (+.f64 (+.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (*.f64 i i) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))))) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (/.f64 (pow.f64 i 3) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 -1/2 (pow.f64 n 5) (*.f64 1/3 (pow.f64 n 4)))))))) |
(+.f64 (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 3))) i)) (+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (/.f64 (pow.f64 i 3) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 1/3 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 5))))))))) |
(+.f64 (*.f64 (/.f64 (*.f64 n n) i) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)))) (+.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (*.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (*.f64 i i)) (+.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 3))) (/.f64 (fma.f64 1/6 (pow.f64 n 6) (fma.f64 1/3 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 5)))) i))))) |
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) |
(pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) |
(pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) |
(*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) |
(+.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) |
(+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 n n) i) 1) (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2)) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) |
(+.f64 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (/.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) |
(+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (+.f64 (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 3))) i)))) |
(+.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (*.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (+.f64 (/.f64 (*.f64 n n) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 3))) (*.f64 i i))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2)) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) |
(fma.f64 -1 (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (/.f64 (pow.f64 i 3) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6))))) (+.f64 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (/.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) |
(-.f64 (+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (+.f64 (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 3))) i)))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (pow.f64 i 3)) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (+.f64 (/.f64 (*.f64 n n) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 3))) (*.f64 i i)))) (-.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (pow.f64 i 3)) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6)))))) |
1 |
(+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))) |
(+.f64 1 (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))) |
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) 1) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) (+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))) |
(fma.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (*.f64 n n) (+.f64 1 (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i))))) |
(fma.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) 1)) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) (+.f64 1 (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))) |
(fma.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (*.f64 n n) (+.f64 1 (fma.f64 (pow.f64 n 3) (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))) (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))))) |
(+.f64 (fma.f64 (pow.f64 n 3) (+.f64 (-.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i)) (/.f64 -1/2 (*.f64 i i))) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (fma.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) 1)) |
(+.f64 (fma.f64 (pow.f64 n 3) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (fma.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) 1)) |
(exp.f64 i) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (exp.f64 i)) |
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (exp.f64 i)) |
(fma.f64 -1/2 (*.f64 (/.f64 i (/.f64 n (exp.f64 i))) i) (exp.f64 i)) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i))) |
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (exp.f64 i)) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)) (/.f64 (*.f64 n n) (exp.f64 i)))) |
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (exp.f64 i)) (*.f64 (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)) n) (/.f64 (exp.f64 i) n))) |
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 i (/.f64 n (exp.f64 i))) i) (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (exp.f64 i) (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))))) |
(+.f64 (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)) (/.f64 (*.f64 n n) (exp.f64 i))) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (exp.f64 i)) (/.f64 (fma.f64 -1/48 (pow.f64 i 6) (fma.f64 -1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) -1/4))) (/.f64 (pow.f64 n 3) (exp.f64 i))))) |
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100 |
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(-.f64 (fma.f64 100 (/.f64 (exp.f64 i) i) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)) i)) (*.f64 -50 (/.f64 i (/.f64 n (exp.f64 i)))))) (/.f64 100 i)) |
(+.f64 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)) i)) (*.f64 -50 (/.f64 i (/.f64 n (exp.f64 i))))) (/.f64 (fma.f64 (exp.f64 i) 100 -100) i)) |
(+.f64 (*.f64 100 (*.f64 (+.f64 (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)) (*.f64 n n)) 1) (/.f64 (exp.f64 i) i))) (fma.f64 -50 (/.f64 i (/.f64 n (exp.f64 i))) (/.f64 -100 i))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 3) i)))))) (*.f64 100 (/.f64 1 i))) |
(-.f64 (fma.f64 100 (/.f64 (exp.f64 i) i) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)) i)) (fma.f64 -50 (/.f64 i (/.f64 n (exp.f64 i))) (*.f64 100 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (pow.f64 n 3)) (/.f64 (exp.f64 i) i)))))) (/.f64 100 i)) |
(+.f64 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)) i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (pow.f64 n 3))) (*.f64 -50 (/.f64 i (/.f64 n (exp.f64 i)))))) (/.f64 (fma.f64 (exp.f64 i) 100 -100) i)) |
(+.f64 (+.f64 (*.f64 -50 (/.f64 i (/.f64 n (exp.f64 i)))) (*.f64 (/.f64 100 i) (*.f64 (exp.f64 i) (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (pow.f64 n 3)) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)) (*.f64 n n)))))) (/.f64 (fma.f64 (exp.f64 i) 100 -100) i)) |
(/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i) |
(/.f64 (fma.f64 100 (exp.f64 i) -100) i) |
(/.f64 (fma.f64 (exp.f64 i) 100 -100) i) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n))) (*.f64 100 (/.f64 1 i))) |
(-.f64 (fma.f64 100 (/.f64 (exp.f64 i) i) (*.f64 -50 (/.f64 i (/.f64 n (exp.f64 i))))) (/.f64 100 i)) |
(+.f64 (*.f64 -50 (/.f64 i (/.f64 n (exp.f64 i)))) (/.f64 (fma.f64 (exp.f64 i) 100 -100) i)) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 (pow.f64 n 2) i))) (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)))) (*.f64 100 (/.f64 1 i))) |
(-.f64 (fma.f64 100 (/.f64 (exp.f64 i) i) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)) i)) (*.f64 -50 (/.f64 i (/.f64 n (exp.f64 i)))))) (/.f64 100 i)) |
(+.f64 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)) i)) (*.f64 -50 (/.f64 i (/.f64 n (exp.f64 i))))) (/.f64 (fma.f64 (exp.f64 i) 100 -100) i)) |
(+.f64 (*.f64 100 (*.f64 (+.f64 (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)) (*.f64 n n)) 1) (/.f64 (exp.f64 i) i))) (fma.f64 -50 (/.f64 i (/.f64 n (exp.f64 i))) (/.f64 -100 i))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 -50 (/.f64 (*.f64 i (exp.f64 i)) n)) (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 3) i)))))) (*.f64 100 (/.f64 1 i))) |
(-.f64 (fma.f64 100 (/.f64 (exp.f64 i) i) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)) i)) (fma.f64 -50 (/.f64 i (/.f64 n (exp.f64 i))) (*.f64 -100 (/.f64 (exp.f64 i) (/.f64 (*.f64 i (pow.f64 n 3)) (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))))))))) (/.f64 100 i)) |
(+.f64 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)) i)) (fma.f64 -100 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (pow.f64 n 3))) (*.f64 -50 (/.f64 i (/.f64 n (exp.f64 i)))))) (/.f64 (fma.f64 (exp.f64 i) 100 -100) i)) |
(+.f64 (*.f64 100 (*.f64 (+.f64 (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 (pow.f64 i 3) 1/3)) (*.f64 n n)) 1) (/.f64 (exp.f64 i) i))) (+.f64 (fma.f64 -100 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (pow.f64 n 3))) (*.f64 -50 (/.f64 i (/.f64 n (exp.f64 i))))) (/.f64 -100 i))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 11.8b | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) | |
| 6.8b | (pow.f64 (+.f64 1 (/.f64 i n)) n) | |
| 1.3b | (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) | |
| 0.0b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) | |
| ✓ | 0.0b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| ✓ | 1.3b | (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) |
| 6.8b | (pow.f64 (+.f64 1 (/.f64 i n)) n) | |
| ✓ | 11.8b | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | i | @ | inf | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 2.0ms | n | @ | 0 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 1.0ms | i | @ | -inf | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 1.0ms | i | @ | inf | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 1.0ms | n | @ | 0 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 1× | batch-egg-rewrite |
| 722× | prod-diff_binary64 |
| 661× | log-prod_binary64 |
| 267× | fma-def_binary64 |
| 250× | egg-rr |
| 221× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 54 |
| 1 | 257 | 48 |
| 2 | 3762 | 48 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 774× | associate-/l*_binary64 |
| 587× | associate-/r*_binary64 |
| 385× | fma-def_binary64 |
| 380× | associate-*l/_binary64 |
| 246× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 346 | 4417 |
| 1 | 1153 | 4094 |
| 2 | 4286 | 3806 |
| 1× | node limit |
| Inputs |
|---|
n |
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/24 (*.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))))))))) |
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(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4)))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))) |
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
| Outputs |
|---|
n |
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 n (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n)))) |
(fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (*.f64 n (+.f64 (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))))) |
(fma.f64 n (fma.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n) |
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i))) n) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/24 (*.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))))))))) |
(+.f64 n (fma.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (*.f64 n (+.f64 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))))))))) |
(+.f64 n (*.f64 n (+.f64 (*.f64 i (*.f64 i (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (-.f64 (/.f64 11/24 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 3))) (/.f64 1/4 n)))))))) |
(+.f64 n (*.f64 n (+.f64 (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (+.f64 (+.f64 (/.f64 11/24 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (/.f64 -1/4 n))))))) |
(/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i) |
(/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) |
(*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) |
(*.f64 (/.f64 n i) (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1)) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) |
(+.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) |
(+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))))) |
(+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1)) (*.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (*.f64 i i)) (pow.f64 n 3))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i) (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))) |
(+.f64 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (+.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))))))) |
(+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (*.f64 i i)) (pow.f64 n 3)) (*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) i) (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) i) -1)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i) (+.f64 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))) |
(+.f64 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (+.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) (+.f64 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))))) (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 -1/2 (pow.f64 n 5) (*.f64 1/3 (pow.f64 n 4)))))))))) |
(+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))) (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 1/3 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 5))))))))) |
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (*.f64 i i)) (pow.f64 n 3)) (+.f64 (*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) i) (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) i) -1))) (*.f64 (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 1/3 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 5))))))) |
(/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i) |
(/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) |
(*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) |
(*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2)) (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)) |
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i |
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(-.f64 (exp.f64 i) 1) |
(expm1.f64 i) |
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(fma.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (fma.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i) (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 1/2 (pow.f64 i 3)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) i) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (pow.f64 i 3)) (+.f64 (/.f64 1/2 (pow.f64 i 3)) (/.f64 1/3 (pow.f64 i 4))))))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))))))) |
(+.f64 (*.f64 100 (fma.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3))) (*.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (+.f64 (/.f64 1/3 (pow.f64 i 4)) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (/.f64 1/2 (pow.f64 i 3))))))))) (*.f64 100 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))))) |
(*.f64 100 (+.f64 (fma.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3)))) (*.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (+.f64 (/.f64 1/3 (pow.f64 i 4)) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (/.f64 1/2 (pow.f64 i 3)))))))) (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 100) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)) |
(fma.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100 (*.f64 i (*.f64 (exp.f64 i) -50))) |
(fma.f64 (*.f64 i -50) (exp.f64 i) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 100)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i)))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))))) |
(fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 (expm1.f64 i) i) n)) (*.f64 i (*.f64 (exp.f64 i) -50))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (exp.f64 i) i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i))))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (/.f64 i (/.f64 (exp.f64 i) (*.f64 n n)))) (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i)))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 100 (+.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (*.f64 n n)) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n)))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) |
(*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 100) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 n (/.f64 i (expm1.f64 i))) 100)) |
(fma.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100 (*.f64 i (*.f64 (exp.f64 i) -50))) |
(fma.f64 (*.f64 i -50) (exp.f64 i) (*.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 100)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i)))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))))) |
(fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 (expm1.f64 i) i) n)) (*.f64 i (*.f64 (exp.f64 i) -50))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 -100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))) i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i))))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))) (*.f64 n n))) -100 (*.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i)))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 (expm1.f64 i) i) n)) (*.f64 (/.f64 (*.f64 (exp.f64 i) -100) i) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/4 (pow.f64 i 4) (*.f64 1/6 (pow.f64 i 5)))) (*.f64 n n))))) |
Compiled 31725 to 17173 computations (45.9% saved)
24 alts after pruning (23 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 758 | 23 | 781 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 759 | 24 | 783 |
| Status | Error | Program |
|---|---|---|
| 29.1b | (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) | |
| 33.4b | (*.f64 100 (/.f64 i (/.f64 i n))) | |
| 52.8b | (*.f64 100 (/.f64 (-.f64 (+.f64 1 i) 1) (/.f64 i n))) | |
| 25.4b | (fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 (expm1.f64 i) i) n)) (*.f64 i (*.f64 (exp.f64 i) -50))) | |
| 17.5b | (/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) (/.f64 (neg.f64 i) n)) | |
| ▶ | 26.9b | (*.f64 n 100) |
| 31.3b | (*.f64 n (/.f64 (*.f64 100 (+.f64 i (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) i)) | |
| 27.6b | (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) | |
| 49.1b | (*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) | |
| 18.7b | (*.f64 100 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))) | |
| 49.1b | (/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i) | |
| 17.8b | (*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) | |
| ▶ | 17.0b | (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
| 54.3b | (*.f64 n (+.f64 (*.f64 100 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))) (pow.f64 n 3)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)))))) | |
| 31.2b | (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) | |
| ✓ | 49.0b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| ▶ | 17.7b | (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
| 50.6b | (*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) | |
| 53.4b | (*.f64 n (/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100)) i)) | |
| 27.6b | (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) | |
| ▶ | 62.3b | (*.f64 100 (/.f64 (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) (/.f64 i n))) |
| ▶ | 27.6b | (*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
| 27.0b | (*.f64 n (/.f64 (*.f64 i 100) i)) | |
| 48.8b | (*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)) |
Compiled 1055 to 749 computations (29% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) | |
| 0.1b | (*.f64 (/.f64 (expm1.f64 i) i) n) | |
| 0.0b | (/.f64 (expm1.f64 i) i) | |
| ✓ | 0.0b | (/.f64 (expm1.f64 i) i) |
| ✓ | 0.1b | (*.f64 (/.f64 (expm1.f64 i) i) n) |
| ✓ | 0.1b | (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | i | @ | inf | (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
| 1.0ms | i | @ | -inf | (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
| 1.0ms | n | @ | 0 | (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
| 1.0ms | i | @ | 0 | (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
| 1.0ms | n | @ | inf | (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
| 1× | batch-egg-rewrite |
| 860× | pow1_binary64 |
| 799× | add-log-exp_binary64 |
| 799× | log1p-expm1-u_binary64 |
| 799× | expm1-log1p-u_binary64 |
| 782× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 168 | 27 |
| 2 | 2135 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
(*.f64 (/.f64 (expm1.f64 i) i) n) |
(/.f64 (expm1.f64 i) i) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (expm1.f64 i) n) 100) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) i)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (pow.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (*.f64 (/.f64 (expm1.f64 i) i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (expm1.f64 i) i) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 i) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 (expm1.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 i) n) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (expm1.f64 i) n)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 i) n) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 i) n) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 i) n) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (expm1.f64 i)) n) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (neg.f64 (expm1.f64 i))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 i) i) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (/.f64 (expm1.f64 i) i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (expm1.f64 i) i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (expm1.f64 i) i) n))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 i) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2) (cbrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (*.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) (sqrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 i)) (*.f64 (sqrt.f64 (expm1.f64 i)) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 i)) (/.f64 1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) 1) (/.f64 (sqrt.f64 (expm1.f64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (expm1.f64 i)) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (expm1.f64 i) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (expm1.f64 i)) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 i) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (expm1.f64 i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 i) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 i) i))))))) |
| 1× | egg-herbie |
| 666× | times-frac_binary64 |
| 636× | distribute-lft-out_binary64 |
| 467× | associate-/l/_binary64 |
| 465× | distribute-rgt-in_binary64 |
| 445× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 639 |
| 1 | 140 | 631 |
| 2 | 368 | 620 |
| 3 | 1186 | 606 |
| 4 | 2856 | 603 |
| 5 | 4920 | 603 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 100 n) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
n |
(+.f64 n (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i)))) |
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3)))))) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
1 |
(+.f64 1 (*.f64 1/2 i)) |
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (*.f64 1/2 i))) |
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (+.f64 (*.f64 1/2 i) (*.f64 1/24 (pow.f64 i 3))))) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
| Outputs |
|---|
(*.f64 100 n) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(fma.f64 50 (*.f64 n i) (*.f64 100 n)) |
(fma.f64 100 n (*.f64 n (*.f64 i 50))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))) |
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 100 n))) |
(fma.f64 50 (*.f64 n i) (fma.f64 100 n (*.f64 (*.f64 i i) (*.f64 n 50/3)))) |
(fma.f64 100 n (*.f64 n (+.f64 (*.f64 i (*.f64 i 50/3)) (*.f64 50 i)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))) |
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 100 n)))) |
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 100 n (*.f64 (*.f64 i i) (*.f64 n 50/3))))) |
(fma.f64 n (*.f64 25/6 (pow.f64 i 3)) (fma.f64 100 n (*.f64 n (+.f64 (*.f64 i (*.f64 i 50/3)) (*.f64 50 i))))) |
(*.f64 n (+.f64 (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6))) (+.f64 100 (*.f64 50 i)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
n |
(+.f64 n (*.f64 1/2 (*.f64 n i))) |
(+.f64 n (*.f64 (*.f64 n i) 1/2)) |
(fma.f64 (*.f64 n i) 1/2 n) |
(fma.f64 n (*.f64 i 1/2) n) |
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i)))) |
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (*.f64 (*.f64 n i) 1/2))) |
(fma.f64 (*.f64 n (*.f64 i i)) 1/6 (fma.f64 (*.f64 n i) 1/2 n)) |
(+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i 1/6) 1/2)))) |
(*.f64 n (fma.f64 i (*.f64 i 1/6) (fma.f64 i 1/2 1))) |
(*.f64 n (fma.f64 i 1/2 (fma.f64 i (*.f64 i 1/6) 1))) |
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3)))))) |
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (fma.f64 1/2 (*.f64 n i) (*.f64 (*.f64 n (pow.f64 i 3)) 1/24)))) |
(+.f64 (fma.f64 (*.f64 n 1/24) (pow.f64 i 3) (*.f64 n (*.f64 i 1/2))) (fma.f64 (*.f64 n (*.f64 i i)) 1/6 n)) |
(+.f64 (fma.f64 n (*.f64 i 1/2) n) (*.f64 n (*.f64 (*.f64 i i) (+.f64 (*.f64 i 1/24) 1/6)))) |
(+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(/.f64 (expm1.f64 i) (/.f64 i n)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
1 |
(+.f64 1 (*.f64 1/2 i)) |
(+.f64 1 (*.f64 i 1/2)) |
(fma.f64 i 1/2 1) |
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (*.f64 1/2 i))) |
(fma.f64 1/6 (*.f64 i i) (+.f64 1 (*.f64 i 1/2))) |
(fma.f64 (*.f64 i i) 1/6 (fma.f64 i 1/2 1)) |
(fma.f64 i 1/2 (fma.f64 i (*.f64 i 1/6) 1)) |
(fma.f64 i (*.f64 i 1/6) (fma.f64 i 1/2 1)) |
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (+.f64 (*.f64 1/2 i) (*.f64 1/24 (pow.f64 i 3))))) |
(fma.f64 1/6 (*.f64 i i) (+.f64 1 (fma.f64 1/2 i (*.f64 (pow.f64 i 3) 1/24)))) |
(+.f64 (fma.f64 i 1/2 (*.f64 (pow.f64 i 3) 1/24)) (fma.f64 (*.f64 i i) 1/6 1)) |
(fma.f64 i (*.f64 i 1/6) (fma.f64 i 1/2 (fma.f64 (pow.f64 i 3) 1/24 1))) |
(fma.f64 i (*.f64 i 1/6) (fma.f64 (pow.f64 i 3) 1/24 (fma.f64 i 1/2 1))) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 5.9b | (*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) | |
| 0.1b | (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) | |
| 0.1b | (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) | |
| 0.0b | (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) | |
| ✓ | 0.0b | (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) |
| ✓ | 0.1b | (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) |
| ✓ | 0.1b | (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
| ✓ | 5.9b | (*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | n | @ | 0 | (*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
| 1.0ms | i | @ | 0 | (*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
| 1.0ms | n | @ | inf | (*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
| 1.0ms | n | @ | -inf | (*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
| 1.0ms | i | @ | inf | (*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
| 1× | batch-egg-rewrite |
| 701× | log-prod_binary64 |
| 455× | prod-diff_binary64 |
| 281× | fma-def_binary64 |
| 255× | pow1/3_binary64 |
| 252× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 1 | 296 | 47 |
| 2 | 3892 | 47 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) |
(-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n 100) (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n 100) 1) (*.f64 (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100))) (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 n 100) 3) (pow.f64 (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i))) 3)) (fma.f64 (*.f64 n 100) (*.f64 n 100) (-.f64 (*.f64 (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i))) (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i)))) (*.f64 (*.f64 n 100) (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 n 100) (*.f64 n 100)) (*.f64 (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i))) (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i))))) (-.f64 (*.f64 n 100) (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 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#<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 n))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 n))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3))) (/.f64 1 (+.f64 1/4 (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 n))) (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 n)) (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3))) (+.f64 1/4 (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) (+.f64 1/2 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) (neg.f64 (+.f64 1/4 (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))) (neg.f64 (+.f64 1/2 (/.f64 1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 n) 3)) (+.f64 1/4 (-.f64 (*.f64 (/.f64 -1/2 n) (/.f64 -1/2 n)) (*.f64 1/2 (/.f64 -1/2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 (/.f64 -1/2 n) (/.f64 -1/2 n))) (-.f64 1/2 (/.f64 -1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/4 (fma.f64 1/4 (pow.f64 n -2) (/.f64 1/4 n))) (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 n)) (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1/2 (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 -1/2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (neg.f64 (/.f64 1 n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1/2 n) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 n) -1/2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 n -2))) (neg.f64 (cbrt.f64 (/.f64 1/2 n))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 n)) (neg.f64 (sqrt.f64 (/.f64 1/2 n))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1/2 n) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 n) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 -1/2 n)) (cbrt.f64 (/.f64 -1/2 n))) (cbrt.f64 (/.f64 -1/2 n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1/2 n)) (sqrt.f64 (/.f64 -1/2 n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 1 n)) 1/2 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 n -2)))) (cbrt.f64 (/.f64 1/2 n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 n))) (sqrt.f64 (/.f64 1/2 n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 n -2))) (cbrt.f64 (/.f64 1 n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 n -1/2)) (pow.f64 n -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 1/2 (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 1/2 (/.f64 -1/2 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1/2 (/.f64 -1/2 n)))))))) |
| 1× | egg-herbie |
| 784× | fma-def_binary64 |
| 604× | times-frac_binary64 |
| 584× | fma-neg_binary64 |
| 490× | associate-/l*_binary64 |
| 467× | associate-*l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 546 |
| 1 | 75 | 506 |
| 2 | 163 | 497 |
| 3 | 428 | 482 |
| 4 | 1250 | 472 |
| 5 | 3305 | 472 |
| 6 | 6124 | 472 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -50 i) |
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(*.f64 100 n) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 -50 (/.f64 i n)) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(*.f64 50 i) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(*.f64 50 i) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(*.f64 -1/2 (/.f64 i n)) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(*.f64 1/2 i) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(*.f64 1/2 i) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(/.f64 -1/2 n) |
1/2 |
1/2 |
| Outputs |
|---|
(*.f64 -50 i) |
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i)) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i)) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i)) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (+.f64 100 (*.f64 i 50))) |
(*.f64 n (fma.f64 i 50 100)) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (+.f64 100 (*.f64 i 50))) |
(*.f64 n (fma.f64 i 50 100)) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(*.f64 100 n) |
(*.f64 n 100) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))) |
(*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) |
(*.f64 100 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i n))) |
(*.f64 n (*.f64 i (+.f64 50 (/.f64 -50 n)))) |
(*.f64 i (fma.f64 n 50 -50)) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (/.f64 1/2 n))))) |
(*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) |
(*.f64 100 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i n))) |
(*.f64 n (*.f64 i (+.f64 50 (/.f64 -50 n)))) |
(*.f64 i (fma.f64 n 50 -50)) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 -50 i)) |
(fma.f64 -50 i (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 -50 i)) |
(*.f64 100 (fma.f64 i (fma.f64 n 1/2 -1/2) n)) |
(*.f64 -50 (/.f64 i n)) |
(/.f64 -50 (/.f64 n i)) |
(/.f64 i (/.f64 n -50)) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(fma.f64 50 i (*.f64 -50 (/.f64 i n))) |
(fma.f64 -50 (/.f64 i n) (*.f64 i 50)) |
(*.f64 i (+.f64 50 (/.f64 -50 n))) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(fma.f64 50 i (*.f64 -50 (/.f64 i n))) |
(fma.f64 -50 (/.f64 i n) (*.f64 i 50)) |
(*.f64 i (+.f64 50 (/.f64 -50 n))) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(fma.f64 50 i (*.f64 -50 (/.f64 i n))) |
(fma.f64 -50 (/.f64 i n) (*.f64 i 50)) |
(*.f64 i (+.f64 50 (/.f64 -50 n))) |
(*.f64 50 i) |
(*.f64 i 50) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(fma.f64 50 i (*.f64 -50 (/.f64 i n))) |
(fma.f64 -50 (/.f64 i n) (*.f64 i 50)) |
(*.f64 i (+.f64 50 (/.f64 -50 n))) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(fma.f64 50 i (*.f64 -50 (/.f64 i n))) |
(fma.f64 -50 (/.f64 i n) (*.f64 i 50)) |
(*.f64 i (+.f64 50 (/.f64 -50 n))) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(fma.f64 50 i (*.f64 -50 (/.f64 i n))) |
(fma.f64 -50 (/.f64 i n) (*.f64 i 50)) |
(*.f64 i (+.f64 50 (/.f64 -50 n))) |
(*.f64 50 i) |
(*.f64 i 50) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(fma.f64 50 i (*.f64 -50 (/.f64 i n))) |
(fma.f64 -50 (/.f64 i n) (*.f64 i 50)) |
(*.f64 i (+.f64 50 (/.f64 -50 n))) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(fma.f64 50 i (*.f64 -50 (/.f64 i n))) |
(fma.f64 -50 (/.f64 i n) (*.f64 i 50)) |
(*.f64 i (+.f64 50 (/.f64 -50 n))) |
(+.f64 (*.f64 50 i) (*.f64 -50 (/.f64 i n))) |
(fma.f64 50 i (*.f64 -50 (/.f64 i n))) |
(fma.f64 -50 (/.f64 i n) (*.f64 i 50)) |
(*.f64 i (+.f64 50 (/.f64 -50 n))) |
(*.f64 -1/2 (/.f64 i n)) |
(*.f64 (/.f64 i n) -1/2) |
(*.f64 i (/.f64 -1/2 n)) |
(/.f64 i (/.f64 n -1/2)) |
(/.f64 -1/2 (/.f64 n i)) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 (/.f64 i n) -1/2)) |
(fma.f64 (/.f64 i n) -1/2 (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 (/.f64 i n) -1/2)) |
(fma.f64 (/.f64 i n) -1/2 (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 (/.f64 i n) -1/2)) |
(fma.f64 (/.f64 i n) -1/2 (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(*.f64 1/2 i) |
(*.f64 i 1/2) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 (/.f64 i n) -1/2)) |
(fma.f64 (/.f64 i n) -1/2 (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 (/.f64 i n) -1/2)) |
(fma.f64 (/.f64 i n) -1/2 (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 (/.f64 i n) -1/2)) |
(fma.f64 (/.f64 i n) -1/2 (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(*.f64 1/2 i) |
(*.f64 i 1/2) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 (/.f64 i n) -1/2)) |
(fma.f64 (/.f64 i n) -1/2 (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 (/.f64 i n) -1/2)) |
(fma.f64 (/.f64 i n) -1/2 (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 (/.f64 i n) -1/2)) |
(fma.f64 (/.f64 i n) -1/2 (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(/.f64 -1/2 n) |
1/2 |
1/2 |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 1/6 (/.f64 -1/2 n)) | |
| 0.0b | (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) | |
| 0.0b | (+.f64 1/2 (/.f64 -1/2 n)) | |
| 0.0b | (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) | |
| ✓ | 1.7b | (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) |
| ✓ | 1.7b | (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))) |
| ✓ | 4.3b | (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) |
| ✓ | 20.6b | (/.f64 (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) (/.f64 i n)) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 128.0ms | n | @ | inf | (/.f64 (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) (/.f64 i n)) |
| 2.0ms | n | @ | 0 | (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) |
| 2.0ms | i | @ | -inf | (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) |
| 2.0ms | i | @ | inf | (/.f64 (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) (/.f64 i n)) |
| 1.0ms | i | @ | inf | (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))) |
| 1× | batch-egg-rewrite |
| 296× | add-sqr-sqrt_binary64 |
| 283× | *-un-lft-identity_binary64 |
| 283× | pow1_binary64 |
| 277× | add-cbrt-cube_binary64 |
| 277× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 136 |
| 1 | 569 | 116 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) (/.f64 i n)) |
(*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) |
(*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))) |
(-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 i (*.f64 i (fma.f64 i (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) (+.f64 (/.f64 -1/2 n) 1/2))) (+.f64 1 i)) (/.f64 n i)) (neg.f64 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (fma.f64 i (*.f64 i (fma.f64 i (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) (+.f64 (/.f64 -1/2 n) 1/2))) (+.f64 1 i)) (/.f64 n i)) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 i (*.f64 i (*.f64 i (fma.f64 i (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) (+.f64 (/.f64 -1/2 n) 1/2))))) (/.f64 n i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 i (*.f64 i (*.f64 i (fma.f64 i (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) (+.f64 (/.f64 -1/2 n) 1/2))))) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 i (*.f64 i (*.f64 i (fma.f64 i (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) (+.f64 (/.f64 -1/2 n) 1/2))))) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 i (*.f64 i (*.f64 i (fma.f64 i (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) (+.f64 (/.f64 -1/2 n) 1/2))))) (/.f64 n i))) 2) (cbrt.f64 (*.f64 (+.f64 i (*.f64 i (*.f64 i (fma.f64 i (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) (+.f64 (/.f64 -1/2 n) 1/2))))) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 i (*.f64 i (*.f64 i (fma.f64 i (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) (+.f64 (/.f64 -1/2 n) 1/2))))) (/.f64 n i))) (sqrt.f64 (*.f64 (+.f64 i (*.f64 i (*.f64 i (fma.f64 i (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) (+.f64 (/.f64 -1/2 n) 1/2))))) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 i (*.f64 i (*.f64 i (fma.f64 i (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) (+.f64 (/.f64 -1/2 n) 1/2)))))) (/.f64 1 (/.f64 (neg.f64 i) n)))))) 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-1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 i)) (sqrt.f64 (+.f64 1 i)) (fma.f64 (*.f64 i i) (fma.f64 i (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) (+.f64 (/.f64 -1/2 n) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 i (*.f64 i (*.f64 i (fma.f64 i (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) (+.f64 (/.f64 -1/2 n) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 i (*.f64 i (*.f64 i (fma.f64 i (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) (+.f64 (/.f64 -1/2 n) 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 i (*.f64 i (*.f64 i (fma.f64 i (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) (+.f64 (/.f64 -1/2 n) 1/2)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 i (*.f64 i (*.f64 i (fma.f64 i (+.f64 (fma.f64 1/3 (pow.f64 n -2) 1/6) (/.f64 -1/2 n)) (+.f64 (/.f64 -1/2 n) 1/2))))))))))) |
| 1× | egg-herbie |
| 529× | associate-/r*_binary64 |
| 495× | distribute-rgt-in_binary64 |
| 459× | distribute-lft-in_binary64 |
| 449× | associate-*l/_binary64 |
| 438× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 2564 |
| 1 | 284 | 2474 |
| 2 | 805 | 2277 |
| 3 | 3278 | 2215 |
| 1× | node limit |
| Inputs |
|---|
n |
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 1/3 (/.f64 (pow.f64 i 2) n)) |
(+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) n))) |
(+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))) |
(+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))) |
(/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) |
(+.f64 (/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2))) |
(+.f64 (/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) (+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) n)))) |
(+.f64 (/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) (+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) n)))) |
(/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) |
(+.f64 (/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) (*.f64 -1 (*.f64 i (+.f64 1/2 (*.f64 1/2 i))))) |
(+.f64 (/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) (+.f64 (*.f64 -1 (*.f64 i (+.f64 1/2 (*.f64 1/2 i)))) (*.f64 1/3 (/.f64 (pow.f64 i 2) n)))) |
(+.f64 (/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) (+.f64 (*.f64 -1 (*.f64 i (+.f64 1/2 (*.f64 1/2 i)))) (*.f64 1/3 (/.f64 (pow.f64 i 2) n)))) |
(*.f64 1/3 (/.f64 i (pow.f64 n 2))) |
(+.f64 (*.f64 1/3 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/3 (/.f64 i (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i))) |
(+.f64 (*.f64 1/3 (/.f64 i (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i))) |
(*.f64 1/6 i) |
(+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i)) |
(+.f64 (*.f64 1/3 (/.f64 i (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i))) |
(+.f64 (*.f64 1/3 (/.f64 i (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i))) |
(*.f64 1/6 i) |
(+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i)) |
(+.f64 (*.f64 1/3 (/.f64 i (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i))) |
(+.f64 (*.f64 1/3 (/.f64 i (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 1/6 i))) |
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 i (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) |
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) |
(*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) |
(*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) |
(*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) |
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2)))) |
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))) |
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))) |
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) i) |
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)) |
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))) |
(+.f64 (/.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) n) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))) |
(*.f64 (+.f64 1/2 (*.f64 1/6 i)) i) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 i (+.f64 1/2 (*.f64 1/2 i))) n)) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 i (+.f64 1/2 (*.f64 1/2 i))) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 i (+.f64 1/2 (*.f64 1/2 i))) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))) |
i |
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) |
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) |
(*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) |
(+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) |
(*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (/.f64 (*.f64 (pow.f64 i 2) (-.f64 (*.f64 -1/2 i) 1/2)) n)) |
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (/.f64 (*.f64 (pow.f64 i 2) (-.f64 (*.f64 -1/2 i) 1/2)) n)))) |
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (/.f64 (*.f64 (pow.f64 i 2) (-.f64 (*.f64 -1/2 i) 1/2)) n)))) |
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i) |
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 i (/.f64 (*.f64 (pow.f64 i 2) (-.f64 (*.f64 -1/2 i) 1/2)) n))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 i (/.f64 (*.f64 (pow.f64 i 2) (-.f64 (*.f64 -1/2 i) 1/2)) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 i (/.f64 (*.f64 (pow.f64 i 2) (-.f64 (*.f64 -1/2 i) 1/2)) n)))) |
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i) |
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 i (*.f64 -1 (/.f64 (*.f64 (pow.f64 i 2) (+.f64 1/2 (*.f64 1/2 i))) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 i (*.f64 -1 (/.f64 (*.f64 (pow.f64 i 2) (+.f64 1/2 (*.f64 1/2 i))) n))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 i (*.f64 -1 (/.f64 (*.f64 (pow.f64 i 2) (+.f64 1/2 (*.f64 1/2 i))) n))))) |
| Outputs |
|---|
n |
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 n (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n)))) |
(fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n) |
(*.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1)) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (*.f64 n (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))))) |
(fma.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) n) |
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))) n) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (*.f64 n (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))))) |
(fma.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) n) |
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))) n) |
(*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) |
(*.f64 (*.f64 n (*.f64 i i)) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) |
(*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) |
(*.f64 n (*.f64 i (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))) |
(+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(*.f64 n (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))))) |
(*.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) |
(*.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (*.f64 n (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))))) |
(fma.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) n) |
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))) n) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (*.f64 n (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))))) |
(fma.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) n) |
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))) n) |
(*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) |
(*.f64 (*.f64 n (*.f64 i i)) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) |
(*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) |
(*.f64 n (*.f64 i (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))) |
(+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(*.f64 n (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))))) |
(*.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n)))))) |
(*.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (*.f64 n (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))))) |
(fma.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) n) |
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))) n) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (*.f64 n (fma.f64 i (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))))))) |
(fma.f64 n (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))))) n) |
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))))) n) |
(*.f64 1/3 (/.f64 (pow.f64 i 2) n)) |
(/.f64 (*.f64 1/3 (*.f64 i i)) n) |
(*.f64 1/3 (/.f64 i (/.f64 n i))) |
(*.f64 (/.f64 1/3 n) (*.f64 i i)) |
(*.f64 (*.f64 i i) (/.f64 1/3 n)) |
(+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) n))) |
(fma.f64 i (fma.f64 -1/2 i -1/2) (/.f64 (*.f64 1/3 (*.f64 i i)) n)) |
(fma.f64 i (fma.f64 i -1/2 -1/2) (*.f64 1/3 (/.f64 i (/.f64 n i)))) |
(fma.f64 i (fma.f64 i -1/2 -1/2) (*.f64 (/.f64 1/3 n) (*.f64 i i))) |
(fma.f64 i (fma.f64 i -1/2 -1/2) (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))) |
(fma.f64 i (fma.f64 -1/2 i -1/2) (fma.f64 1/3 (/.f64 (*.f64 i i) n) (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))))) |
(fma.f64 i (fma.f64 i -1/2 -1/2) (fma.f64 n (fma.f64 i (fma.f64 i 1/6 1/2) 1) (*.f64 1/3 (/.f64 i (/.f64 n i))))) |
(fma.f64 n (fma.f64 i (fma.f64 i 1/6 1/2) 1) (fma.f64 i (fma.f64 i -1/2 -1/2) (*.f64 (/.f64 1/3 n) (*.f64 i i)))) |
(fma.f64 n (fma.f64 i (fma.f64 i 1/6 1/2) 1) (fma.f64 i (fma.f64 i -1/2 -1/2) (*.f64 (*.f64 i i) (/.f64 1/3 n)))) |
(+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 2) n)) (*.f64 n (+.f64 1 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) i))))) |
(fma.f64 i (fma.f64 -1/2 i -1/2) (fma.f64 1/3 (/.f64 (*.f64 i i) n) (*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (*.f64 i 1/6))))))) |
(fma.f64 i (fma.f64 i -1/2 -1/2) (fma.f64 n (fma.f64 i (fma.f64 i 1/6 1/2) 1) (*.f64 1/3 (/.f64 i (/.f64 n i))))) |
(fma.f64 n (fma.f64 i (fma.f64 i 1/6 1/2) 1) (fma.f64 i (fma.f64 i -1/2 -1/2) (*.f64 (/.f64 1/3 n) (*.f64 i i)))) |
(fma.f64 n (fma.f64 i (fma.f64 i 1/6 1/2) 1) (fma.f64 i (fma.f64 i -1/2 -1/2) (*.f64 (*.f64 i i) (/.f64 1/3 n)))) |
(/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) |
(/.f64 n (/.f64 i (fma.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i i) i))) |
(*.f64 (/.f64 n i) (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i)) |
(*.f64 (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i) (/.f64 n i)) |
(*.f64 (*.f64 (fma.f64 i (fma.f64 i 1/6 1/2) 1) i) (/.f64 n i)) |
(+.f64 (/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2))) |
(+.f64 (*.f64 i (fma.f64 -1/2 i -1/2)) (/.f64 n (/.f64 i (fma.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i i) i)))) |
(fma.f64 i (fma.f64 i -1/2 -1/2) (*.f64 (/.f64 n i) (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i))) |
(fma.f64 (/.f64 n i) (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i) (*.f64 i (fma.f64 i -1/2 -1/2))) |
(fma.f64 i (fma.f64 i -1/2 -1/2) (*.f64 (*.f64 (fma.f64 i (fma.f64 i 1/6 1/2) 1) i) (/.f64 n i))) |
(+.f64 (/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) (+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) n)))) |
(+.f64 (fma.f64 i (fma.f64 -1/2 i -1/2) (/.f64 (*.f64 1/3 (*.f64 i i)) n)) (/.f64 n (/.f64 i (fma.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i i) i)))) |
(+.f64 (fma.f64 i (fma.f64 i -1/2 -1/2) (*.f64 1/3 (/.f64 i (/.f64 n i)))) (*.f64 (/.f64 n i) (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i))) |
(fma.f64 (/.f64 n i) (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i) (fma.f64 i (fma.f64 i -1/2 -1/2) (*.f64 (/.f64 1/3 n) (*.f64 i i)))) |
(fma.f64 i (fma.f64 i -1/2 -1/2) (fma.f64 1/3 (*.f64 i (/.f64 i n)) (*.f64 (*.f64 (fma.f64 i (fma.f64 i 1/6 1/2) 1) i) (/.f64 n i)))) |
(+.f64 (/.f64 (*.f64 n (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i)) i) (+.f64 (*.f64 i (-.f64 (*.f64 -1/2 i) 1/2)) (*.f64 1/3 (/.f64 (pow.f64 i 2) n)))) |
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i |
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(+.f64 (fma.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i i) i) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (pow.f64 i 3))) |
(+.f64 i (*.f64 (*.f64 i i) (+.f64 (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))) (+.f64 1/2 (/.f64 -1/2 n))))) |
(+.f64 i (*.f64 (*.f64 i i) (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))) |
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 i (fma.f64 (*.f64 i i) (-.f64 1/2 (/.f64 1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n))) (pow.f64 i 3)))) |
(+.f64 (fma.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i i) i) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (pow.f64 i 3))) |
(+.f64 i (*.f64 (*.f64 i i) (+.f64 (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2))) (+.f64 1/2 (/.f64 -1/2 n))))) |
(+.f64 i (*.f64 (*.f64 i i) (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (fma.f64 i 1/6 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/3 n) -1/2)))))) |
(*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) |
(/.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 n n)) |
(*.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n))) |
(*.f64 (/.f64 1/3 (*.f64 n n)) (pow.f64 i 3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (/.f64 (*.f64 (pow.f64 i 2) (-.f64 (*.f64 -1/2 i) 1/2)) n)) |
(fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (/.f64 (*.f64 i i) (/.f64 n (fma.f64 -1/2 i -1/2)))) |
(fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (*.f64 (/.f64 i (/.f64 n i)) (fma.f64 i -1/2 -1/2))) |
(fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (/.f64 (fma.f64 i -1/2 -1/2) (/.f64 n (*.f64 i i)))) |
(*.f64 i (*.f64 (/.f64 i n) (-.f64 (*.f64 i (/.f64 1/3 n)) (fma.f64 i 1/2 1/2)))) |
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (/.f64 (*.f64 (pow.f64 i 2) (-.f64 (*.f64 -1/2 i) 1/2)) n)))) |
(fma.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i i) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (+.f64 i (/.f64 (*.f64 i i) (/.f64 n (fma.f64 -1/2 i -1/2)))))) |
(+.f64 (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (*.f64 (/.f64 i (/.f64 n i)) (fma.f64 i -1/2 -1/2)))) |
(fma.f64 i (*.f64 i (fma.f64 i 1/6 1/2)) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (fma.f64 (*.f64 (/.f64 i n) i) (fma.f64 i -1/2 -1/2) i))) |
(fma.f64 (fma.f64 i (fma.f64 i 1/6 1/2) 1) i (*.f64 i (*.f64 (/.f64 i n) (-.f64 (*.f64 i (/.f64 1/3 n)) (fma.f64 i 1/2 1/2))))) |
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (/.f64 (*.f64 (pow.f64 i 2) (-.f64 (*.f64 -1/2 i) 1/2)) n)))) |
(fma.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i i) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (+.f64 i (/.f64 (*.f64 i i) (/.f64 n (fma.f64 -1/2 i -1/2)))))) |
(+.f64 (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (*.f64 (/.f64 i (/.f64 n i)) (fma.f64 i -1/2 -1/2)))) |
(fma.f64 i (*.f64 i (fma.f64 i 1/6 1/2)) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (fma.f64 (*.f64 (/.f64 i n) i) (fma.f64 i -1/2 -1/2) i))) |
(fma.f64 (fma.f64 i (fma.f64 i 1/6 1/2) 1) i (*.f64 i (*.f64 (/.f64 i n) (-.f64 (*.f64 i (/.f64 1/3 n)) (fma.f64 i 1/2 1/2))))) |
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i) |
(fma.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i i) i) |
(fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i) |
(*.f64 (fma.f64 i (fma.f64 i 1/6 1/2) 1) i) |
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 i (/.f64 (*.f64 (pow.f64 i 2) (-.f64 (*.f64 -1/2 i) 1/2)) n))) |
(+.f64 (fma.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i i) i) (/.f64 (*.f64 i i) (/.f64 n (fma.f64 -1/2 i -1/2)))) |
(+.f64 (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i) (*.f64 (/.f64 i (/.f64 n i)) (fma.f64 i -1/2 -1/2))) |
(fma.f64 (*.f64 (/.f64 i n) i) (fma.f64 i -1/2 -1/2) (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i)) |
(+.f64 i (*.f64 (*.f64 i i) (-.f64 (fma.f64 i 1/6 1/2) (/.f64 (fma.f64 i 1/2 1/2) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 i (/.f64 (*.f64 (pow.f64 i 2) (-.f64 (*.f64 -1/2 i) 1/2)) n)))) |
(fma.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i i) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (+.f64 i (/.f64 (*.f64 i i) (/.f64 n (fma.f64 -1/2 i -1/2)))))) |
(+.f64 (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (*.f64 (/.f64 i (/.f64 n i)) (fma.f64 i -1/2 -1/2)))) |
(fma.f64 i (*.f64 i (fma.f64 i 1/6 1/2)) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (fma.f64 (*.f64 (/.f64 i n) i) (fma.f64 i -1/2 -1/2) i))) |
(fma.f64 (fma.f64 i (fma.f64 i 1/6 1/2) 1) i (*.f64 i (*.f64 (/.f64 i n) (-.f64 (*.f64 i (/.f64 1/3 n)) (fma.f64 i 1/2 1/2))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 i (/.f64 (*.f64 (pow.f64 i 2) (-.f64 (*.f64 -1/2 i) 1/2)) n)))) |
(fma.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i i) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (+.f64 i (/.f64 (*.f64 i i) (/.f64 n (fma.f64 -1/2 i -1/2)))))) |
(+.f64 (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (*.f64 (/.f64 i (/.f64 n i)) (fma.f64 i -1/2 -1/2)))) |
(fma.f64 i (*.f64 i (fma.f64 i 1/6 1/2)) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (fma.f64 (*.f64 (/.f64 i n) i) (fma.f64 i -1/2 -1/2) i))) |
(fma.f64 (fma.f64 i (fma.f64 i 1/6 1/2) 1) i (*.f64 i (*.f64 (/.f64 i n) (-.f64 (*.f64 i (/.f64 1/3 n)) (fma.f64 i 1/2 1/2))))) |
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) i) |
(fma.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i i) i) |
(fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i) |
(*.f64 (fma.f64 i (fma.f64 i 1/6 1/2) 1) i) |
(+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 i (*.f64 -1 (/.f64 (*.f64 (pow.f64 i 2) (+.f64 1/2 (*.f64 1/2 i))) n)))) |
(+.f64 (fma.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i i) i) (/.f64 (*.f64 i i) (/.f64 n (fma.f64 -1/2 i -1/2)))) |
(+.f64 (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i) (*.f64 (/.f64 i (/.f64 n i)) (fma.f64 i -1/2 -1/2))) |
(fma.f64 (*.f64 (/.f64 i n) i) (fma.f64 i -1/2 -1/2) (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i)) |
(+.f64 i (*.f64 (*.f64 i i) (-.f64 (fma.f64 i 1/6 1/2) (/.f64 (fma.f64 i 1/2 1/2) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 i (*.f64 -1 (/.f64 (*.f64 (pow.f64 i 2) (+.f64 1/2 (*.f64 1/2 i))) n))))) |
(fma.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i i) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (+.f64 i (/.f64 (*.f64 i i) (/.f64 n (fma.f64 -1/2 i -1/2)))))) |
(+.f64 (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (*.f64 (/.f64 i (/.f64 n i)) (fma.f64 i -1/2 -1/2)))) |
(fma.f64 i (*.f64 i (fma.f64 i 1/6 1/2)) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (fma.f64 (*.f64 (/.f64 i n) i) (fma.f64 i -1/2 -1/2) i))) |
(fma.f64 (fma.f64 i (fma.f64 i 1/6 1/2) 1) i (*.f64 i (*.f64 (/.f64 i n) (-.f64 (*.f64 i (/.f64 1/3 n)) (fma.f64 i 1/2 1/2))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 i)) (pow.f64 i 2)) (+.f64 i (*.f64 -1 (/.f64 (*.f64 (pow.f64 i 2) (+.f64 1/2 (*.f64 1/2 i))) n))))) |
(fma.f64 (+.f64 1/2 (*.f64 i 1/6)) (*.f64 i i) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (+.f64 i (/.f64 (*.f64 i i) (/.f64 n (fma.f64 -1/2 i -1/2)))))) |
(+.f64 (fma.f64 (*.f64 i i) (fma.f64 i 1/6 1/2) i) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (*.f64 (/.f64 i (/.f64 n i)) (fma.f64 i -1/2 -1/2)))) |
(fma.f64 i (*.f64 i (fma.f64 i 1/6 1/2)) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (fma.f64 (*.f64 (/.f64 i n) i) (fma.f64 i -1/2 -1/2) i))) |
(fma.f64 (fma.f64 i (fma.f64 i 1/6 1/2) 1) i (*.f64 i (*.f64 (/.f64 i n) (-.f64 (*.f64 i (/.f64 1/3 n)) (fma.f64 i 1/2 1/2))))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 11.8b | (*.f64 n (log1p.f64 (/.f64 i n))) | |
| 11.7b | (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) | |
| 6.1b | (log1p.f64 (/.f64 i n)) | |
| 0.4b | (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) | |
| ✓ | 0.4b | (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
| ✓ | 6.1b | (log1p.f64 (/.f64 i n)) |
| ✓ | 11.7b | (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) |
| ✓ | 11.8b | (*.f64 n (log1p.f64 (/.f64 i n))) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | n | @ | 0 | (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) |
| 3.0ms | i | @ | inf | (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) |
| 3.0ms | i | @ | -inf | (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) |
| 2.0ms | n | @ | inf | (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) |
| 2.0ms | n | @ | -inf | (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) |
| 1× | batch-egg-rewrite |
| 589× | log-prod_binary64 |
| 351× | pow-prod-down_binary64 |
| 281× | pow2_binary64 |
| 215× | prod-diff_binary64 |
| 210× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 52 |
| 1 | 219 | 52 |
| 2 | 3004 | 52 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 n (log1p.f64 (/.f64 i n))) |
(/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) |
(log1p.f64 (/.f64 i n)) |
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (log1p.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n)) 2)) (log.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n))) (log.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (log1p.f64 (/.f64 i n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) |
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(log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 10 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 i (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 1/100)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 100 (/.f64 n i))))))))) |
| 1× | egg-herbie |
| 522× | fma-def_binary64 |
| 401× | times-frac_binary64 |
| 335× | associate-/l*_binary64 |
| 326× | associate-*r*_binary64 |
| 305× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 494 | 6237 |
| 1 | 1726 | 5785 |
| 2 | 7309 | 5692 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (/.f64 (pow.f64 n 2) i)) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))) |
i |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))) |
i |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))) |
i |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (/.f64 (pow.f64 n 2) i)) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (/.f64 (pow.f64 n 2) i)) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))) |
(/.f64 1 n) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/6 (/.f64 1 n)) (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) (pow.f64 i 2)) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/4 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/6 (/.f64 1 n)) (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (+.f64 (*.f64 1/24 (/.f64 1 n)) (+.f64 (*.f64 11/24 (/.f64 1 (pow.f64 n 3))) (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))))) (+.f64 (/.f64 1 n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/6 (/.f64 1 n)) (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) (pow.f64 i 2)) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1))) |
(+.f64 (/.f64 i (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1))) (*.f64 -1 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2)))) |
(+.f64 (/.f64 i (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1))) (+.f64 (*.f64 -1 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 2)) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 3))) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (*.f64 n (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2)))) i)))) |
(+.f64 (/.f64 i (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1))) (+.f64 (*.f64 -1 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (*.f64 n (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 2) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 3))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 2) (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 2)) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 3))) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (*.f64 n (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2)))))) (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1))))) (pow.f64 i 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 2)) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 3))) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (*.f64 n (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) 2)))) i))))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))) |
(+.f64 (/.f64 i (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))) (*.f64 -1 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1) 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (*.f64 n (*.f64 i (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1) 2))))) (+.f64 (/.f64 i (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))) (+.f64 (*.f64 -1 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1) 2))) (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 2)) (*.f64 i (pow.f64 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1) 3)))))) |
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(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4)))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))) |
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
| Outputs |
|---|
(*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) |
(*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i))) |
(*.f64 n (-.f64 (log.f64 i) (log.f64 n))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (/.f64 (pow.f64 n 2) i)) |
(fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i)) |
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (/.f64 n (/.f64 i n))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))) |
(fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (+.f64 (/.f64 (*.f64 n n) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i))))) |
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))) |
(fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (+.f64 (/.f64 (*.f64 n n) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)))))) |
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n))))) |
(fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n))))) |
i |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) i) |
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) i) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i)) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i)) |
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i) (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))) |
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (fma.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)) i))) |
i |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) i) |
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) i) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i)) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i)) |
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i) (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))) |
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (fma.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)) i))) |
i |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) i) |
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) i) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i)) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i)) |
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i) (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))) |
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) (fma.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)) i))) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) |
(*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i))) |
(*.f64 n (-.f64 (log.f64 i) (log.f64 n))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (/.f64 (pow.f64 n 2) i)) |
(fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i)) |
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (/.f64 n (/.f64 i n))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))) |
(fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (+.f64 (/.f64 (*.f64 n n) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i))))) |
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n)))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))) |
(fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (+.f64 (/.f64 (*.f64 n n) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)))))) |
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n))))) |
(fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n))))) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) |
(*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) |
(*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (/.f64 (pow.f64 n 2) i)) |
(fma.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))) (/.f64 (*.f64 n n) i)) |
(fma.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))) (/.f64 n (/.f64 i n))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))) |
(+.f64 (fma.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))) (/.f64 (*.f64 n n) i)) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)))) |
(fma.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))) |
(fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (+.f64 (fma.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))) (/.f64 (*.f64 n n) i)) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i))))) |
(fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n))))) |
(/.f64 1 n) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
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(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))) |
(fma.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) (*.f64 i i)) (fma.f64 100 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 (pow.f64 n 4) 1/2)) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (fma.f64 -100 (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6)))))) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))))) |
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (fma.f64 (pow.f64 n 4) 1/2 (*.f64 -1/2 (pow.f64 n 3))) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))))) (/.f64 (*.f64 n -100) (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6))))))) |
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) (+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (fma.f64 (pow.f64 n 4) 1/2 (*.f64 -1/2 (pow.f64 n 3))) (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))))))) (/.f64 (*.f64 n -100) (/.f64 (pow.f64 i 4) (*.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6))))))) |
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) |
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))) |
(*.f64 100 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))) |
(*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))))) |
(*.f64 100 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))) |
(fma.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (+.f64 (/.f64 (log.f64 i) (*.f64 i i)) (*.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i)))) (/.f64 1/2 (pow.f64 i 3)))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))))) |
(*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))) (fma.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))))) |
(*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))) (fma.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3)))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))) |
(fma.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (fma.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (+.f64 (/.f64 (log.f64 i) (*.f64 i i)) (*.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i)))) (/.f64 1/2 (pow.f64 i 3)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) i) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (pow.f64 i 3)) (+.f64 (/.f64 1/2 (pow.f64 i 3)) (/.f64 1/3 (pow.f64 i 4))))))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))))))) |
(fma.f64 100 (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))) (*.f64 100 (+.f64 (fma.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (+.f64 (/.f64 1/2 (pow.f64 i 3)) (/.f64 1/3 (pow.f64 i 4)))))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3))))))) |
(fma.f64 100 (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))) (*.f64 100 (+.f64 (fma.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (+.f64 (/.f64 1/2 (pow.f64 i 3)) (/.f64 1/3 (pow.f64 i 4)))))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3)))))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)) (/.f64 n (/.f64 i (expm1.f64 i)))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 100 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i) (*.f64 (/.f64 n i) (expm1.f64 i))))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 -1/4 (pow.f64 i 4)))) (*.f64 n n)) (/.f64 (exp.f64 i) i)) (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)) (/.f64 n (/.f64 i (expm1.f64 i))))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 100 (+.f64 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/4 (pow.f64 i 4) (*.f64 -1/48 (pow.f64 i 6)))) i))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)) (/.f64 n (/.f64 i (expm1.f64 i)))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 100 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i) (*.f64 (/.f64 n i) (expm1.f64 i))))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 -100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) i)) (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)) (/.f64 n (/.f64 i (expm1.f64 i))))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (fma.f64 100 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 (*.f64 -100 (/.f64 (exp.f64 i) (*.f64 n n))) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 (pow.f64 i 4) 1/4 (*.f64 1/6 (pow.f64 i 5)))) i)))) |
Compiled 22974 to 14851 computations (35.4% saved)
31 alts after pruning (29 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 737 | 20 | 757 |
| Fresh | 9 | 9 | 18 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 750 | 31 | 781 |
| Status | Error | Program |
|---|---|---|
| 50.6b | (*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) | |
| ▶ | 17.0b | (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
| 27.6b | (+.f64 0 (*.f64 n (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100))) | |
| 52.8b | (*.f64 100 (/.f64 (-.f64 (+.f64 1 i) 1) (/.f64 i n))) | |
| 25.5b | (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) | |
| 18.7b | (*.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 100) | |
| 25.3b | (/.f64 100 (*.f64 1 (/.f64 i (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) | |
| 53.4b | (*.f64 n (/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100)) i)) | |
| ▶ | 17.1b | (/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
| 27.6b | (fma.f64 100 n (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i)))) | |
| 27.0b | (/.f64 100 (/.f64 1 n)) | |
| 27.3b | (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))) | |
| ✓ | 26.9b | (*.f64 n 100) |
| 27.3b | (*.f64 n (+.f64 100 (*.f64 50 i))) | |
| 49.1b | (*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) | |
| 17.1b | (*.f64 100 (*.f64 (*.f64 (expm1.f64 i) (/.f64 1 i)) n)) | |
| ▶ | 29.2b | (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) |
| 49.1b | (/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i) | |
| 48.9b | (*.f64 100 (*.f64 (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)) n)) | |
| 27.3b | (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) | |
| ▶ | 27.3b | (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
| ▶ | 62.1b | (*.f64 -50 i) |
| 31.2b | (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) | |
| 22.6b | (/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) i) | |
| 48.8b | (*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)) | |
| ✓ | 49.0b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 27.5b | (*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) | |
| 33.4b | (*.f64 100 (/.f64 i (/.f64 i n))) | |
| 18.8b | (*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) | |
| 61.1b | (*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) | |
| 27.0b | (*.f64 n (/.f64 (*.f64 i 100) i)) |
Compiled 788 to 571 computations (27.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) | |
| 0.0b | (/.f64 n (/.f64 i (expm1.f64 i))) | |
| ✓ | 0.0b | (/.f64 n (/.f64 i (expm1.f64 i))) |
| ✓ | 0.1b | (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | 0 | (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
| 0.0ms | i | @ | -inf | (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
| 0.0ms | i | @ | 0 | (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
| 0.0ms | i | @ | inf | (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
| 0.0ms | n | @ | inf | (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
| 1× | batch-egg-rewrite |
| 964× | pow1_binary64 |
| 900× | add-log-exp_binary64 |
| 900× | log1p-expm1-u_binary64 |
| 900× | expm1-log1p-u_binary64 |
| 85× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 174 | 21 |
| 2 | 2388 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(/.f64 n (/.f64 i (expm1.f64 i))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 i (*.f64 n (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 i (expm1.f64 i)) (*.f64 100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 n) (/.f64 i (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 100 n)) (/.f64 (neg.f64 i) (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 n) i) (/.f64 1 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 n) 1) (/.f64 i (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 n) (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2)) (cbrt.f64 (/.f64 i (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 n) (sqrt.f64 (/.f64 i (expm1.f64 i)))) (sqrt.f64 (/.f64 i (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) 100) (/.f64 (neg.f64 i) (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (neg.f64 n)) (/.f64 (neg.f64 i) (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 (expm1.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (expm1.f64 i) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 2) (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 n) (/.f64 1 (/.f64 (neg.f64 i) (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) i) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (/.f64 i (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (/.f64 i (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) i) (/.f64 (sqrt.f64 n) (/.f64 1 (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 n (/.f64 1 (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) i) (/.f64 (cbrt.f64 n) (/.f64 1 (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2)) (/.f64 n (cbrt.f64 (/.f64 i (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2)) (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (/.f64 i (expm1.f64 i))) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (/.f64 i (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 i (expm1.f64 i)))) (/.f64 n (sqrt.f64 (/.f64 i (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (/.f64 i (expm1.f64 i)))) (/.f64 (cbrt.f64 n) (sqrt.f64 (/.f64 i (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n 1) (/.f64 (expm1.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (neg.f64 i)) (neg.f64 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 n i) 1) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 n i) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)) (cbrt.f64 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 n i) (sqrt.f64 (expm1.f64 i))) (sqrt.f64 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (*.f64 n (expm1.f64 i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 n (/.f64 (neg.f64 i) (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 n i)) (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 i) (/.f64 n i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 n 3) (pow.f64 (/.f64 i (expm1.f64 i)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 i) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 i) (/.f64 n i)))))))) |
| 1× | egg-herbie |
| 916× | fma-def_binary64 |
| 643× | times-frac_binary64 |
| 609× | distribute-lft-out_binary64 |
| 430× | associate-/l/_binary64 |
| 397× | distribute-rgt-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 548 |
| 1 | 113 | 544 |
| 2 | 296 | 539 |
| 3 | 985 | 518 |
| 4 | 3336 | 515 |
| 5 | 5294 | 515 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 n) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
n |
(+.f64 n (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i)))) |
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3)))))) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
| Outputs |
|---|
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 n) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(fma.f64 50 (*.f64 n i) (*.f64 100 n)) |
(*.f64 n (+.f64 (*.f64 i 50) 100)) |
(*.f64 n (fma.f64 i 50 100)) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))) |
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 100 n))) |
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 i (*.f64 n i)) (*.f64 100 n))) |
(fma.f64 100 n (*.f64 i (+.f64 (*.f64 n 50) (*.f64 i (*.f64 n 50/3))))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))) |
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 100 n)))) |
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 50/3 (*.f64 i (*.f64 n i)) (*.f64 100 n)))) |
(fma.f64 n (*.f64 i 50) (fma.f64 n (*.f64 25/6 (pow.f64 i 3)) (*.f64 n (+.f64 100 (*.f64 i (*.f64 i 50/3)))))) |
(*.f64 n (+.f64 (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6))) (fma.f64 i 50 100))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))) 50)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 (/.f64 (*.f64 100 n) i) (expm1.f64 i)) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
n |
(+.f64 n (*.f64 1/2 (*.f64 n i))) |
(+.f64 n (*.f64 (*.f64 n i) 1/2)) |
(fma.f64 (*.f64 n i) 1/2 n) |
(fma.f64 n (*.f64 i 1/2) n) |
(*.f64 n (fma.f64 i 1/2 1)) |
(fma.f64 i (*.f64 n 1/2) n) |
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (*.f64 1/2 (*.f64 n i)))) |
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (*.f64 (*.f64 n i) 1/2))) |
(fma.f64 (*.f64 i (*.f64 n i)) 1/6 (fma.f64 (*.f64 n i) 1/2 n)) |
(fma.f64 n (*.f64 i (*.f64 i 1/6)) (fma.f64 n (*.f64 i 1/2) n)) |
(fma.f64 i (*.f64 n (+.f64 1/2 (*.f64 i 1/6))) n) |
(fma.f64 n (*.f64 i (+.f64 1/2 (*.f64 i 1/6))) n) |
(+.f64 (*.f64 1/6 (*.f64 n (pow.f64 i 2))) (+.f64 n (+.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 1/24 (*.f64 n (pow.f64 i 3)))))) |
(fma.f64 1/6 (*.f64 n (*.f64 i i)) (+.f64 n (fma.f64 1/2 (*.f64 n i) (*.f64 (*.f64 n (pow.f64 i 3)) 1/24)))) |
(+.f64 (fma.f64 (*.f64 n 1/24) (pow.f64 i 3) (*.f64 i (*.f64 n 1/2))) (fma.f64 (*.f64 i (*.f64 n i)) 1/6 n)) |
(fma.f64 n (*.f64 i (*.f64 i 1/6)) (fma.f64 (pow.f64 i 3) (*.f64 n 1/24) (fma.f64 n (*.f64 i 1/2) n))) |
(fma.f64 n (*.f64 (pow.f64 i 3) 1/24) (fma.f64 i (*.f64 n (+.f64 1/2 (*.f64 i 1/6))) n)) |
(+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 i (+.f64 1/6 (*.f64 i 1/24))))))) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(/.f64 (*.f64 n (expm1.f64 i)) i) |
(*.f64 (/.f64 n i) (expm1.f64 i)) |
(*.f64 (expm1.f64 i) (/.f64 n i)) |
(*.f64 n (/.f64 (expm1.f64 i) i)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 50 (*.f64 n i)) | |
| 0.0b | (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) | |
| ✓ | 0.0b | (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
| ✓ | 0.2b | (*.f64 50 (*.f64 n i)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | n | @ | inf | (*.f64 50 (*.f64 n i)) |
| 1.0ms | i | @ | inf | (*.f64 50 (*.f64 n i)) |
| 1.0ms | n | @ | inf | (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
| 1.0ms | i | @ | 0 | (*.f64 50 (*.f64 n i)) |
| 1.0ms | n | @ | 0 | (*.f64 50 (*.f64 n i)) |
| 1× | batch-egg-rewrite |
| 467× | log-prod_binary64 |
| 353× | exp-prod_binary64 |
| 349× | fma-def_binary64 |
| 334× | prod-exp_binary64 |
| 298× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 18 |
| 1 | 195 | 18 |
| 2 | 2503 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 50 (*.f64 n i)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 50) (*.f64 n i))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 50) (*.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 50) (*.f64 n i)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 50) (*.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 i (*.f64 50 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (*.f64 50 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i (*.f64 50 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 i (*.f64 50 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 i (*.f64 50 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 i (*.f64 50 n)))) 2)) (cbrt.f64 (log.f64 (*.f64 i (*.f64 50 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 i (*.f64 50 n))))) (sqrt.f64 (log.f64 (*.f64 i (*.f64 50 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 50) (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i (*.f64 50 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 i (*.f64 50 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 i (*.f64 50 n)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 i (*.f64 50 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i (*.f64 50 n)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 50 (*.f64 n i) (*.f64 n 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2) (fma.f64 50 (*.f64 n i) (*.f64 -100 n))) (/.f64 (*.f64 (*.f64 n n) 10000) (fma.f64 50 (*.f64 n i) (*.f64 -100 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))) (pow.f64 (cbrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))) 2) (cbrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))) (sqrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 n 3) 1000000 (pow.f64 (*.f64 i (*.f64 50 n)) 3)) (fma.f64 (*.f64 n n) 10000 (-.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2) (*.f64 50 (*.f64 (*.f64 n i) (*.f64 n 100))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2) (*.f64 (*.f64 n n) 10000)) (fma.f64 50 (*.f64 n i) (*.f64 -100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 n 3) 1000000 (pow.f64 (*.f64 i (*.f64 50 n)) 3))) (neg.f64 (fma.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n))) (pow.f64 (*.f64 i (*.f64 50 n)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2) (*.f64 (*.f64 n n) 10000))) (neg.f64 (fma.f64 50 (*.f64 n i) (*.f64 -100 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 n n) 10000) (pow.f64 (*.f64 i (*.f64 50 n)) 2)) (-.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n))) (pow.f64 (*.f64 i (*.f64 50 n)) 2)) (fma.f64 (pow.f64 n 3) 1000000 (pow.f64 (*.f64 i (*.f64 50 n)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 50 (*.f64 n i) (*.f64 -100 n)) (-.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2) (*.f64 (*.f64 n n) 10000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))) 2)) (cbrt.f64 (log.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))))) (sqrt.f64 (log.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 n 3) 1000000 (pow.f64 (*.f64 i (*.f64 50 n)) 3)) 3) (pow.f64 (fma.f64 (*.f64 n 100) (-.f64 (*.f64 n 100) (*.f64 i (*.f64 50 n))) (pow.f64 (*.f64 i (*.f64 50 n)) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 i (*.f64 50 n)) 2) (*.f64 (*.f64 n n) 10000)) 3) (pow.f64 (fma.f64 50 (*.f64 n i) (*.f64 -100 n)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 50 (*.f64 n i) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n 100 (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n (*.f64 i 50) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 i (*.f64 50 n) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n i) 50 (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 i (*.f64 50 n)) 1 (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 100 n (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n 100) 1 (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 i (*.f64 50 n)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 n 100) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 n 100)) (cbrt.f64 (*.f64 (*.f64 n n) 10000)) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 n n) 10000)) (cbrt.f64 (*.f64 n 100)) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 n i)) 2) (*.f64 (cbrt.f64 (*.f64 n i)) 50) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 i (*.f64 50 n))) (pow.f64 (cbrt.f64 (*.f64 i (*.f64 50 n))) 2) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 i (*.f64 50 n))) 2) (cbrt.f64 (*.f64 i (*.f64 50 n))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) 100) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 n) 10) (*.f64 (sqrt.f64 n) 10) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 n i)) (*.f64 (sqrt.f64 (*.f64 n i)) 50) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 i (*.f64 50 n))) (sqrt.f64 (*.f64 i (*.f64 50 n))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) 100) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 50 n) i (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (sqrt.f64 n)) (sqrt.f64 n) (*.f64 i (*.f64 50 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 50 i) n (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 50 (pow.f64 (cbrt.f64 (*.f64 n i)) 2)) (cbrt.f64 (*.f64 n i)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 50 (sqrt.f64 (*.f64 n i))) (sqrt.f64 (*.f64 n i)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 50 n) 1) i (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 50 n) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 50 n) (sqrt.f64 i)) (sqrt.f64 i) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 50 (*.f64 n i) (*.f64 n 100)))))))) |
| 1× | egg-herbie |
| 292× | fma-def_binary64 |
| 157× | fma-neg_binary64 |
| 53× | cancel-sign-sub-inv_binary64 |
| 34× | distribute-rgt-neg-in_binary64 |
| 31× | associate-*l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 138 |
| 1 | 40 | 114 |
| 2 | 79 | 114 |
| 3 | 159 | 114 |
| 4 | 245 | 114 |
| 5 | 311 | 114 |
| 6 | 466 | 114 |
| 7 | 689 | 114 |
| 8 | 974 | 114 |
| 9 | 1049 | 114 |
| 10 | 1055 | 114 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) |
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) |
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) |
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) |
(*.f64 100 n) |
(*.f64 50 (*.f64 n i)) |
(*.f64 50 (*.f64 n i)) |
| Outputs |
|---|
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (fma.f64 50 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (fma.f64 50 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (fma.f64 50 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (fma.f64 50 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (fma.f64 50 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (fma.f64 50 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (fma.f64 50 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (fma.f64 50 i 100)) |
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (fma.f64 50 i 100)) |
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (fma.f64 50 i 100)) |
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (fma.f64 50 i 100)) |
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (fma.f64 50 i 100)) |
(*.f64 100 n) |
(*.f64 n 100) |
(*.f64 50 (*.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 15.1b | (/.f64 (/.f64 i n) (expm1.f64 i)) | |
| 0.5b | (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) | |
| ✓ | 0.5b | (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) |
| ✓ | 15.1b | (/.f64 (/.f64 i n) (expm1.f64 i)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | i | @ | 0 | (/.f64 (/.f64 i n) (expm1.f64 i)) |
| 1.0ms | i | @ | inf | (/.f64 (/.f64 i n) (expm1.f64 i)) |
| 1.0ms | i | @ | -inf | (/.f64 (/.f64 i n) (expm1.f64 i)) |
| 1.0ms | n | @ | 0 | (/.f64 (/.f64 i n) (expm1.f64 i)) |
| 1.0ms | n | @ | -inf | (/.f64 (/.f64 i n) (expm1.f64 i)) |
| 1× | batch-egg-rewrite |
| 485× | log-prod_binary64 |
| 377× | exp-prod_binary64 |
| 318× | prod-exp_binary64 |
| 275× | pow-prod-down_binary64 |
| 235× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 1 | 181 | 21 |
| 2 | 2554 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 i (*.f64 n (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 i (*.f64 n (expm1.f64 i))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 i (*.f64 n (expm1.f64 i))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (/.f64 1 (*.f64 n (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i n) (/.f64 1 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (*.f64 n (expm1.f64 i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 i (*.f64 n (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 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i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 i (*.f64 n (expm1.f64 i))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 i (*.f64 n (expm1.f64 i))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 i n) 3) (pow.f64 (expm1.f64 i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 i (*.f64 n (expm1.f64 i))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 i (*.f64 n (expm1.f64 i))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) (/.f64 n i))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 i (*.f64 n (expm1.f64 i)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 i) 1) (log.f64 (*.f64 n (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 i n)) 1) (log.f64 (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 i n)) (*.f64 (log.f64 (expm1.f64 i)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 i n)) 1) (*.f64 (log.f64 (expm1.f64 i)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 i n)) 1) (neg.f64 (log.f64 (expm1.f64 i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (expm1.f64 i))) (*.f64 (log.f64 (/.f64 i n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 i (*.f64 n (expm1.f64 i))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) (*.f64 100 (/.f64 n i)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) (*.f64 100 (/.f64 n i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) (*.f64 100 (/.f64 n i))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) (*.f64 100 (/.f64 n i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (expm1.f64 i) (*.f64 100 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(expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 (/.f64 n i)) 1) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 (/.f64 n i)) (pow.f64 (cbrt.f64 (expm1.f64 i)) 2)) (cbrt.f64 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 (/.f64 n i)) (sqrt.f64 (expm1.f64 i))) (sqrt.f64 (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10000 (pow.f64 (/.f64 i (*.f64 n (expm1.f64 i))) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 i (*.f64 n (expm1.f64 i))) 1/100) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 i (*.f64 n (expm1.f64 i))) 1/100) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))))) 2)) (cbrt.f64 (log.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))))) (sqrt.f64 (log.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (pow.f64 (/.f64 i (*.f64 n (expm1.f64 i))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (expm1.f64 i)) (*.f64 100 (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 10 (sqrt.f64 (/.f64 i (*.f64 n (expm1.f64 i)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 i (*.f64 n (expm1.f64 i))) 1/100)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 i)) 1) (log.f64 (*.f64 100 (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 100 (/.f64 n i))) (*.f64 (log.f64 (expm1.f64 i)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))))))))) |
| 1× | egg-herbie |
| 809× | unswap-sqr_binary64 |
| 649× | times-frac_binary64 |
| 562× | fma-def_binary64 |
| 438× | *-commutative_binary64 |
| 426× | associate-/l*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 560 |
| 1 | 125 | 558 |
| 2 | 291 | 553 |
| 3 | 840 | 538 |
| 4 | 2769 | 533 |
| 5 | 5894 | 533 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 n) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n))))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(*.f64 100 n) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
| Outputs |
|---|
(/.f64 1 n) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/12 (/.f64 (*.f64 i i) n) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1/12 (/.f64 n (*.f64 i i))) (fma.f64 -1/2 (/.f64 i n) (/.f64 1 n))) |
(fma.f64 -1/2 (/.f64 i n) (fma.f64 1/12 (*.f64 (/.f64 i n) i) (/.f64 1 n))) |
(fma.f64 -1/2 (/.f64 i n) (fma.f64 1/12 (/.f64 i (/.f64 n i)) (/.f64 1 n))) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12)))) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n))))) |
(+.f64 (/.f64 1 n) (fma.f64 1/12 (/.f64 (*.f64 i i) n) (fma.f64 -1/2 (/.f64 i n) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n))))) |
(+.f64 (/.f64 1 n) (fma.f64 1/12 (/.f64 i (/.f64 n i)) (fma.f64 -1/720 (/.f64 (pow.f64 i 4) n) (*.f64 -1/2 (/.f64 i n))))) |
(+.f64 (fma.f64 -1/2 (/.f64 i n) (/.f64 1 n)) (fma.f64 1/12 (*.f64 (/.f64 i n) i) (*.f64 -1/720 (/.f64 (pow.f64 i 4) n)))) |
(fma.f64 -1/2 (/.f64 i n) (fma.f64 (/.f64 -1/720 n) (pow.f64 i 4) (fma.f64 1/12 (/.f64 i (/.f64 n i)) (/.f64 1 n)))) |
(+.f64 (*.f64 (/.f64 i n) (+.f64 -1/2 (*.f64 i 1/12))) (fma.f64 -1/720 (/.f64 (pow.f64 i 4) n) (/.f64 1 n))) |
(+.f64 (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)) (fma.f64 (/.f64 -1/720 n) (pow.f64 i 4) (/.f64 1 n))) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))) |
(/.f64 i (*.f64 n (expm1.f64 i))) |
(/.f64 (/.f64 i n) (expm1.f64 i)) |
(*.f64 100 n) |
(*.f64 n 100) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(fma.f64 50 (*.f64 n i) (*.f64 n 100)) |
(*.f64 n (+.f64 100 (*.f64 i 50))) |
(*.f64 n (fma.f64 i 50 100)) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))) |
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 n 100))) |
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 i (*.f64 n i)) (*.f64 n 100))) |
(fma.f64 n 100 (*.f64 n (+.f64 (*.f64 (*.f64 i i) 50/3) (*.f64 i 50)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i 50/3) 50)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))) |
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 n 100)))) |
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 50/3 (*.f64 i (*.f64 n i)) (*.f64 n 100)))) |
(fma.f64 n (*.f64 i 50) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (*.f64 n (+.f64 (*.f64 (*.f64 i i) 50/3) 100)))) |
(*.f64 n (+.f64 (*.f64 (*.f64 i i) (+.f64 (*.f64 i 25/6) 50/3)) (fma.f64 i 50 100))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 n (/.f64 100 i))) |
(*.f64 n (/.f64 100 (/.f64 i (expm1.f64 i)))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 4.2b | (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) | |
| 0.3b | (/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) | |
| 0.3b | (/.f64 1/2 (*.f64 n n)) | |
| 0.0b | (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) | |
| ✓ | 0.0b | (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
| ✓ | 0.3b | (/.f64 1/2 (*.f64 n n)) |
| ✓ | 0.3b | (/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
| ✓ | 4.2b | (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | i | @ | 0 | (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
| 1.0ms | i | @ | inf | (/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
| 1.0ms | i | @ | 0 | (/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
| 1.0ms | n | @ | -inf | (/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
| 1.0ms | n | @ | 0 | (/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 630× | log-prod_binary64 |
| 376× | pow2_binary64 |
| 354× | fma-def_binary64 |
| 276× | log-div_binary64 |
| 259× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 63 |
| 1 | 315 | 57 |
| 2 | 4174 | 57 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(/.f64 1/2 (*.f64 n n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
| Outputs |
|---|
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(log.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)))))))) |
| 1× | egg-herbie |
| 958× | times-frac_binary64 |
| 787× | associate-/r*_binary64 |
| 494× | fma-def_binary64 |
| 462× | associate-/l*_binary64 |
| 337× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1886 |
| 1 | 416 | 1815 |
| 2 | 1567 | 1758 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 n) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(*.f64 1/2 (/.f64 i (pow.f64 n 2))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(/.f64 (+.f64 1 (*.f64 -1/2 i)) n) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(*.f64 100 n) |
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))) (*.f64 100 n))) |
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 4) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))) (+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))) (*.f64 100 n)))) |
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(-.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))))) (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))))) (+.f64 (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 4) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 4))))))) |
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(-.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))))) (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))))) (+.f64 (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 4) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 4))))))) |
(*.f64 200 (/.f64 (pow.f64 n 2) i)) |
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2)))) |
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (+.f64 (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2))) (*.f64 800 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)) (pow.f64 i 3))))) |
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (+.f64 (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2))) (+.f64 (*.f64 -1600 (/.f64 (*.f64 (pow.f64 n 5) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)) (pow.f64 i 4))) (*.f64 800 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)) (pow.f64 i 3)))))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)))) |
(+.f64 (*.f64 25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)))) (+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2))))) |
(+.f64 (*.f64 25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)))) (+.f64 (*.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 n 2) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 4)))) (+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)))))) |
(*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) |
(+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2)))) |
(+.f64 (*.f64 -25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (-.f64 (*.f64 1/2 i) 1) 3)))) (+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2))))) |
(+.f64 (*.f64 -25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (-.f64 (*.f64 1/2 i) 1) 3)))) (+.f64 (*.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 n 2) (pow.f64 (-.f64 (*.f64 1/2 i) 1) 4)))) (+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2)))))) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(/.f64 -1/2 n) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(/.f64 -1/2 n) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
| Outputs |
|---|
(/.f64 1 n) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) |
(*.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) |
(*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) |
(*.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) |
(*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 1/2 (/.f64 i (pow.f64 n 2))) |
(*.f64 1/2 (/.f64 i (*.f64 n n))) |
(/.f64 (*.f64 (/.f64 1/2 n) i) n) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(/.f64 (+.f64 1 (*.f64 -1/2 i)) n) |
(/.f64 (+.f64 1 (*.f64 i -1/2)) n) |
(/.f64 (fma.f64 i -1/2 1) n) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) |
(neg.f64 (/.f64 (fma.f64 1/2 i -1) n)) |
(/.f64 (neg.f64 (fma.f64 i 1/2 -1)) n) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(fma.f64 -1 (/.f64 (fma.f64 1/2 i -1) n) (*.f64 1/2 (/.f64 i (*.f64 n n)))) |
(-.f64 (*.f64 1/2 (/.f64 i (*.f64 n n))) (/.f64 (fma.f64 i 1/2 -1) n)) |
(-.f64 (/.f64 (*.f64 (/.f64 1/2 n) i) n) (/.f64 (fma.f64 i 1/2 -1) n)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(fma.f64 -1 (/.f64 (fma.f64 1/2 i -1) n) (*.f64 1/2 (/.f64 i (*.f64 n n)))) |
(-.f64 (*.f64 1/2 (/.f64 i (*.f64 n n))) (/.f64 (fma.f64 i 1/2 -1) n)) |
(-.f64 (/.f64 (*.f64 (/.f64 1/2 n) i) n) (/.f64 (fma.f64 i 1/2 -1) n)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(fma.f64 -1 (/.f64 (fma.f64 1/2 i -1) n) (*.f64 1/2 (/.f64 i (*.f64 n n)))) |
(-.f64 (*.f64 1/2 (/.f64 i (*.f64 n n))) (/.f64 (fma.f64 i 1/2 -1) n)) |
(-.f64 (/.f64 (*.f64 (/.f64 1/2 n) i) n) (/.f64 (fma.f64 i 1/2 -1) n)) |
(*.f64 100 n) |
(*.f64 n 100) |
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(fma.f64 -100 (*.f64 (*.f64 n n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (*.f64 n 100)) |
(fma.f64 -100 (*.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 n (*.f64 n i))) (*.f64 n 100)) |
(fma.f64 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)) (*.f64 n (*.f64 n -100)) (*.f64 n 100)) |
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))) (*.f64 100 n))) |
(fma.f64 -100 (*.f64 (*.f64 n n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (*.f64 100 (+.f64 (*.f64 (*.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) 2)) n))) |
(fma.f64 100 (fma.f64 (pow.f64 n 3) (*.f64 i (*.f64 i (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 2))) n) (*.f64 (*.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (*.f64 (*.f64 n n) -100))) |
(fma.f64 100 (fma.f64 (pow.f64 n 3) (*.f64 i (*.f64 i (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 2))) n) (*.f64 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)) (*.f64 n (*.f64 n -100)))) |
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 4) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))) (+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))) (*.f64 100 n)))) |
(fma.f64 -100 (*.f64 (*.f64 (pow.f64 n 4) (pow.f64 i 3)) (pow.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) 3)) (fma.f64 -100 (*.f64 (*.f64 n n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (*.f64 100 (+.f64 (*.f64 (*.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) 2)) n)))) |
(fma.f64 -100 (*.f64 (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 3) (*.f64 (pow.f64 n 4) (pow.f64 i 3))) (fma.f64 100 (fma.f64 (pow.f64 n 3) (*.f64 i (*.f64 i (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 2))) n) (*.f64 (*.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (*.f64 (*.f64 n n) -100)))) |
(fma.f64 100 (fma.f64 (pow.f64 n 3) (*.f64 i (*.f64 i (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 2))) n) (*.f64 -100 (fma.f64 (pow.f64 n 4) (*.f64 (pow.f64 i 3) (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 3)) (*.f64 (*.f64 n n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))))) |
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
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(+.f64 (*.f64 -25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (-.f64 (*.f64 1/2 i) 1) 3)))) (+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2))))) |
(fma.f64 -25 (/.f64 (/.f64 (*.f64 i i) n) (pow.f64 (fma.f64 1/2 i -1) 3)) (fma.f64 -100 (/.f64 n (fma.f64 1/2 i -1)) (/.f64 (*.f64 -50 i) (pow.f64 (fma.f64 1/2 i -1) 2)))) |
(fma.f64 -25 (*.f64 (/.f64 i n) (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 3))) (fma.f64 -100 (/.f64 n (fma.f64 i 1/2 -1)) (/.f64 (*.f64 i -50) (pow.f64 (fma.f64 i 1/2 -1) 2)))) |
(fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 2)) (fma.f64 -100 (/.f64 n (fma.f64 i 1/2 -1)) (*.f64 (*.f64 (/.f64 i n) i) (/.f64 -25 (pow.f64 (fma.f64 i 1/2 -1) 3))))) |
(+.f64 (*.f64 -25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (-.f64 (*.f64 1/2 i) 1) 3)))) (+.f64 (*.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 n 2) (pow.f64 (-.f64 (*.f64 1/2 i) 1) 4)))) (+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2)))))) |
(fma.f64 -25 (/.f64 (/.f64 (*.f64 i i) n) (pow.f64 (fma.f64 1/2 i -1) 3)) (fma.f64 -25/2 (/.f64 (/.f64 (pow.f64 i 3) (*.f64 n n)) (pow.f64 (fma.f64 1/2 i -1) 4)) (fma.f64 -100 (/.f64 n (fma.f64 1/2 i -1)) (/.f64 (*.f64 -50 i) (pow.f64 (fma.f64 1/2 i -1) 2))))) |
(fma.f64 -25 (*.f64 (/.f64 i n) (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 3))) (fma.f64 -25/2 (/.f64 (/.f64 (pow.f64 i 3) (*.f64 n n)) (pow.f64 (fma.f64 i 1/2 -1) 4)) (fma.f64 -100 (/.f64 n (fma.f64 i 1/2 -1)) (/.f64 (*.f64 i -50) (pow.f64 (fma.f64 i 1/2 -1) 2))))) |
(fma.f64 -25/2 (/.f64 (/.f64 (pow.f64 i 3) (*.f64 n n)) (pow.f64 (fma.f64 i 1/2 -1) 4)) (fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 2)) (fma.f64 -100 (/.f64 n (fma.f64 i 1/2 -1)) (*.f64 (*.f64 (/.f64 i n) i) (/.f64 -25 (pow.f64 (fma.f64 i 1/2 -1) 3)))))) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(/.f64 -1/2 n) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(/.f64 -1/2 n) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
Compiled 9318 to 6131 computations (34.2% saved)
32 alts after pruning (26 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 509 | 15 | 524 |
| Fresh | 13 | 11 | 24 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 523 | 32 | 555 |
| Status | Error | Program |
|---|---|---|
| 22.8b | (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) | |
| 50.4b | (*.f64 200 (/.f64 (*.f64 n n) i)) | |
| 27.5b | (*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) | |
| 60.1b | (*.f64 n (*.f64 50 i)) | |
| ✓ | 17.0b | (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
| 60.1b | (*.f64 50 (*.f64 n i)) | |
| 25.5b | (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) | |
| 27.3b | (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) | |
| 18.7b | (*.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 100) | |
| 25.3b | (/.f64 100 (*.f64 1 (/.f64 i (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) | |
| 53.4b | (*.f64 n (/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100)) i)) | |
| ✓ | 26.9b | (*.f64 n 100) |
| 27.3b | (*.f64 n (+.f64 100 (*.f64 50 i))) | |
| 19.7b | (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) | |
| 50.4b | (/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) | |
| 49.1b | (*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) | |
| 50.4b | (/.f64 100 (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) | |
| ▶ | 27.0b | (/.f64 100 (/.f64 1 n)) |
| ✓ | 29.2b | (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) |
| 49.1b | (/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i) | |
| 48.7b | (/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) | |
| 27.3b | (fma.f64 n 100 (*.f64 i (*.f64 50 n))) | |
| ▶ | 18.9b | (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
| ✓ | 62.1b | (*.f64 -50 i) |
| 31.2b | (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) | |
| ▶ | 13.6b | (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
| 27.0b | (*.f64 n (/.f64 (*.f64 i 100) i)) | |
| ✓ | 49.0b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| ▶ | 17.1b | (/.f64 100 (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
| 18.8b | (*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) | |
| ✓ | 17.1b | (/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
| ▶ | 19.4b | (/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
Compiled 749 to 544 computations (27.4% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) | |
| 0.1b | (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)) | |
| 0.0b | (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) | |
| 0.0b | (+.f64 (/.f64 1/2 n) -1/2) | |
| ✓ | 0.0b | (+.f64 (/.f64 1/2 n) -1/2) |
| ✓ | 0.0b | (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
| ✓ | 0.1b | (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)) |
| ✓ | 0.3b | (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | n | @ | -inf | (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)) |
| 1.0ms | i | @ | -inf | (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
| 1.0ms | i | @ | 0 | (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)) |
| 1.0ms | n | @ | 0 | (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
| 1.0ms | i | @ | inf | (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
| 1× | batch-egg-rewrite |
| 722× | log-prod_binary64 |
| 427× | fma-def_binary64 |
| 302× | log-div_binary64 |
| 272× | expm1-udef_binary64 |
| 272× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 61 |
| 1 | 324 | 57 |
| 2 | 4577 | 57 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
(*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(+.f64 (/.f64 1/2 n) -1/2) |
| Outputs |
|---|
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(/.f64 i n) (sqrt.f64 (/.f64 1/2 n))) (sqrt.f64 (/.f64 1/2 n)) (fma.f64 (/.f64 i n) -1/2 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1/2 n) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (pow.f64 n -2)) (+.f64 (/.f64 1/2 n) 1/2)) (/.f64 1/4 (+.f64 (/.f64 1/2 n) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1/2 n) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 n) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1/2 n) -1/2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 n) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 n) -1/2)) 2) (cbrt.f64 (+.f64 (/.f64 1/2 n) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1/2 n) -1/2)) (sqrt.f64 (+.f64 (/.f64 1/2 n) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/8 (pow.f64 n -3) -1/8) (/.f64 1 (-.f64 (fma.f64 1/4 (pow.f64 n -2) 1/4) (/.f64 -1/4 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/4 (pow.f64 n -2) -1/4) (/.f64 1 (+.f64 (/.f64 1/2 n) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 1/4 (pow.f64 n -2) 1/4) (/.f64 -1/4 n)) (fma.f64 1/8 (pow.f64 n -3) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/2 n) 1/2) (fma.f64 1/4 (pow.f64 n -2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/8 (pow.f64 n -3) -1/8) (-.f64 (fma.f64 1/4 (pow.f64 n -2) 1/4) (/.f64 -1/4 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/8 (pow.f64 n -3) -1/8) (+.f64 1/4 (-.f64 (*.f64 1/4 (pow.f64 n -2)) (/.f64 -1/4 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/4 (pow.f64 n -2) -1/4) (+.f64 (/.f64 1/2 n) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/8 (pow.f64 n -3) -1/8)) (neg.f64 (-.f64 (fma.f64 1/4 (pow.f64 n -2) 1/4) (/.f64 -1/4 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/4 (pow.f64 n -2) -1/4)) (neg.f64 (+.f64 (/.f64 1/2 n) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) (-.f64 -1/2 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1/2 n) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1/2 n) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 n) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1/2 n) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1/2 n) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1/2 n) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/2 n) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1/2 n) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 n) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 n) 1/2 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (/.f64 1 n) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/2 n) 1 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (/.f64 1 (neg.f64 n)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/2 n)) (pow.f64 (cbrt.f64 (/.f64 1/2 n)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 n)) 2) (cbrt.f64 (/.f64 1/2 n)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 n)) (sqrt.f64 (/.f64 1/2 n)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 n)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 n -1/2)) (pow.f64 n -1/2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1/2 n) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1/2 n) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/2 n) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1/2 n) -1/2))))))) |
| 1× | egg-herbie |
| 620× | fma-def_binary64 |
| 555× | associate-/l*_binary64 |
| 398× | *-commutative_binary64 |
| 352× | distribute-rgt-in_binary64 |
| 349× | distribute-lft-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 1983 |
| 1 | 489 | 1943 |
| 2 | 1844 | 1807 |
| 3 | 6757 | 1771 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 200 (/.f64 (pow.f64 n 2) i)) |
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2)))) |
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (+.f64 (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2))) (*.f64 800 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)) (pow.f64 i 3))))) |
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (+.f64 (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2))) (+.f64 (*.f64 -1600 (/.f64 (*.f64 (pow.f64 n 5) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)) (pow.f64 i 4))) (*.f64 800 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)) (pow.f64 i 3)))))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)))) |
(+.f64 (*.f64 25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)))) (+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2))))) |
(+.f64 (*.f64 25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)))) (+.f64 (*.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 n 2) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 4)))) (+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)))))) |
(*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) |
(+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2)))) |
(+.f64 (*.f64 -25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (-.f64 (*.f64 1/2 i) 1) 3)))) (+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2))))) |
(+.f64 (*.f64 -25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (-.f64 (*.f64 1/2 i) 1) 3)))) (+.f64 (*.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 n 2) (pow.f64 (-.f64 (*.f64 1/2 i) 1) 4)))) (+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2)))))) |
(*.f64 100 n) |
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))) (*.f64 100 n))) |
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 4) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))) (+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))) (*.f64 100 n)))) |
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(-.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))))) (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))))) (+.f64 (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 4) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 4))))))) |
(*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) |
(+.f64 (*.f64 -100 (/.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) 2)))) (*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2))))) |
(+.f64 (*.f64 -100 (/.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) 2)))) (+.f64 (*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) (*.f64 100 (/.f64 n (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) 3)))))) |
(+.f64 (*.f64 -100 (/.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) 2)))) (+.f64 (*.f64 -100 (/.f64 n (*.f64 (pow.f64 i 4) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) 4)))) (+.f64 (*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) (*.f64 100 (/.f64 n (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) 3))))))) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n) |
(*.f64 1/2 (/.f64 i (pow.f64 n 2))) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(*.f64 -1/2 (/.f64 i n)) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(*.f64 -1/2 (/.f64 i n)) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(*.f64 1/2 (/.f64 i (pow.f64 n 2))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(/.f64 (+.f64 1 (*.f64 -1/2 i)) n) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(/.f64 1 n) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n) |
(+.f64 (/.f64 1 n) (/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n)) |
(+.f64 (/.f64 1 n) (/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n)) |
(+.f64 (/.f64 1 n) (/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n)) |
(/.f64 1/2 n) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
-1/2 |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
-1/2 |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
| Outputs |
|---|
(*.f64 200 (/.f64 (pow.f64 n 2) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2)))) |
(fma.f64 200 (/.f64 (*.f64 n n) i) (*.f64 -400 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (+.f64 1 (*.f64 i -1/2)))))) |
(fma.f64 -400 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (fma.f64 i -1/2 1) i)) (*.f64 200 (/.f64 (*.f64 n n) i))) |
(fma.f64 200 (*.f64 (/.f64 n i) n) (*.f64 -400 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (fma.f64 i -1/2 1) i)))) |
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (+.f64 (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2))) (*.f64 800 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)) (pow.f64 i 3))))) |
(fma.f64 200 (/.f64 (*.f64 n n) i) (fma.f64 -400 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (+.f64 1 (*.f64 i -1/2)))) (*.f64 800 (/.f64 (pow.f64 n 4) (/.f64 (pow.f64 i 3) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2)))))) |
(fma.f64 200 (/.f64 (*.f64 n n) i) (fma.f64 -400 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (fma.f64 i -1/2 1) i)) (/.f64 (*.f64 (*.f64 800 (pow.f64 n 4)) (pow.f64 (fma.f64 i -1/2 1) 2)) (pow.f64 i 3)))) |
(fma.f64 200 (*.f64 (/.f64 n i) n) (fma.f64 -400 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (fma.f64 i -1/2 1) i)) (/.f64 (*.f64 (pow.f64 n 4) (*.f64 800 (pow.f64 (fma.f64 i -1/2 1) 2))) (pow.f64 i 3)))) |
(fma.f64 200 (*.f64 (/.f64 n i) n) (*.f64 (fma.f64 i -1/2 1) (+.f64 (/.f64 (*.f64 -400 (pow.f64 n 3)) (*.f64 i i)) (/.f64 (*.f64 800 (pow.f64 n 4)) (/.f64 (pow.f64 i 3) (fma.f64 i -1/2 1)))))) |
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (+.f64 (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2))) (+.f64 (*.f64 -1600 (/.f64 (*.f64 (pow.f64 n 5) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)) (pow.f64 i 4))) (*.f64 800 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)) (pow.f64 i 3)))))) |
(fma.f64 200 (/.f64 (*.f64 n n) i) (fma.f64 -400 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (+.f64 1 (*.f64 i -1/2)))) (fma.f64 -1600 (/.f64 (pow.f64 n 5) (/.f64 (pow.f64 i 4) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 3))) (*.f64 800 (/.f64 (pow.f64 n 4) (/.f64 (pow.f64 i 3) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2))))))) |
(fma.f64 200 (/.f64 (*.f64 n n) i) (fma.f64 -400 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (fma.f64 i -1/2 1) i)) (fma.f64 -1600 (*.f64 (/.f64 (pow.f64 n 5) (pow.f64 i 4)) (pow.f64 (fma.f64 i -1/2 1) 3)) (/.f64 (*.f64 (*.f64 800 (pow.f64 n 4)) (pow.f64 (fma.f64 i -1/2 1) 2)) (pow.f64 i 3))))) |
(fma.f64 200 (*.f64 (/.f64 n i) n) (fma.f64 -400 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (fma.f64 i -1/2 1) i)) (fma.f64 -1600 (*.f64 (pow.f64 (fma.f64 i -1/2 1) 3) (/.f64 (pow.f64 n 5) (pow.f64 i 4))) (/.f64 (*.f64 (pow.f64 n 4) (*.f64 800 (pow.f64 (fma.f64 i -1/2 1) 2))) (pow.f64 i 3))))) |
(fma.f64 200 (*.f64 (/.f64 n i) n) (fma.f64 -400 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (fma.f64 i -1/2 1) i)) (*.f64 (pow.f64 (fma.f64 i -1/2 1) 2) (+.f64 (/.f64 (*.f64 800 (pow.f64 n 4)) (pow.f64 i 3)) (/.f64 (*.f64 -1600 (pow.f64 n 5)) (/.f64 (pow.f64 i 4) (fma.f64 i -1/2 1))))))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) |
(*.f64 100 (/.f64 n (fma.f64 i -1/2 1))) |
(/.f64 (*.f64 n 100) (fma.f64 i -1/2 1)) |
(+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)))) |
(fma.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2)))) |
(fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 2)) (*.f64 100 (/.f64 n (fma.f64 i -1/2 1)))) |
(fma.f64 100 (/.f64 n (fma.f64 i -1/2 1)) (/.f64 i (/.f64 (pow.f64 (fma.f64 i -1/2 1) 2) -50))) |
(fma.f64 100 (/.f64 n (fma.f64 i -1/2 1)) (*.f64 -50 (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 2)))) |
(+.f64 (*.f64 25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)))) (+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2))))) |
(fma.f64 25 (/.f64 (*.f64 i i) (*.f64 n (pow.f64 (+.f64 1 (*.f64 i -1/2)) 3))) (fma.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2))))) |
(fma.f64 25 (*.f64 (/.f64 i n) (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 3))) (fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 2)) (*.f64 100 (/.f64 n (fma.f64 i -1/2 1))))) |
(fma.f64 100 (/.f64 n (fma.f64 i -1/2 1)) (fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 2)) (*.f64 25 (/.f64 (*.f64 (/.f64 i n) i) (pow.f64 (fma.f64 i -1/2 1) 3))))) |
(+.f64 (*.f64 25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)))) (+.f64 (*.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 n 2) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 4)))) (+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)))))) |
(fma.f64 25 (/.f64 (*.f64 i i) (*.f64 n (pow.f64 (+.f64 1 (*.f64 i -1/2)) 3))) (fma.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (*.f64 n n) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 4))) (fma.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2)))))) |
(fma.f64 25 (*.f64 (/.f64 i n) (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 3))) (fma.f64 -25/2 (/.f64 (/.f64 (pow.f64 i 3) (*.f64 n n)) (pow.f64 (fma.f64 i -1/2 1) 4)) (fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 2)) (*.f64 100 (/.f64 n (fma.f64 i -1/2 1)))))) |
(fma.f64 25 (/.f64 (*.f64 (/.f64 i n) i) (pow.f64 (fma.f64 i -1/2 1) 3)) (fma.f64 100 (/.f64 n (fma.f64 i -1/2 1)) (fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 2)) (*.f64 (/.f64 (pow.f64 i 3) (*.f64 n n)) (/.f64 -25/2 (pow.f64 (fma.f64 i -1/2 1) 4)))))) |
(*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) |
(*.f64 -100 (/.f64 n (fma.f64 1/2 i -1))) |
(*.f64 -100 (/.f64 n (fma.f64 i 1/2 -1))) |
(*.f64 (/.f64 -100 (fma.f64 i 1/2 -1)) n) |
(+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2)))) |
(fma.f64 -100 (/.f64 n (fma.f64 1/2 i -1)) (*.f64 -50 (/.f64 i (pow.f64 (fma.f64 1/2 i -1) 2)))) |
(fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 2)) (*.f64 -100 (/.f64 n (fma.f64 i 1/2 -1)))) |
(fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 2)) (*.f64 (/.f64 -100 (fma.f64 i 1/2 -1)) n)) |
(fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 2)) (*.f64 (/.f64 -100 (fma.f64 i 1/2 -1)) n)) |
(+.f64 (*.f64 -25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (-.f64 (*.f64 1/2 i) 1) 3)))) (+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2))))) |
(fma.f64 -25 (/.f64 (*.f64 i i) (*.f64 n (pow.f64 (fma.f64 1/2 i -1) 3))) (fma.f64 -100 (/.f64 n (fma.f64 1/2 i -1)) (*.f64 -50 (/.f64 i (pow.f64 (fma.f64 1/2 i -1) 2))))) |
(fma.f64 -25 (/.f64 (/.f64 (*.f64 i i) n) (pow.f64 (fma.f64 i 1/2 -1) 3)) (fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 2)) (*.f64 -100 (/.f64 n (fma.f64 i 1/2 -1))))) |
(fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 2)) (fma.f64 -100 (/.f64 n (fma.f64 i 1/2 -1)) (*.f64 -25 (*.f64 (/.f64 i n) (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 3)))))) |
(fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 2)) (fma.f64 -100 (/.f64 n (fma.f64 i 1/2 -1)) (*.f64 -25 (*.f64 (/.f64 i n) (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 3)))))) |
(+.f64 (*.f64 -25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (-.f64 (*.f64 1/2 i) 1) 3)))) (+.f64 (*.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 n 2) (pow.f64 (-.f64 (*.f64 1/2 i) 1) 4)))) (+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2)))))) |
(fma.f64 -25 (/.f64 (*.f64 i i) (*.f64 n (pow.f64 (fma.f64 1/2 i -1) 3))) (fma.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (*.f64 n n) (pow.f64 (fma.f64 1/2 i -1) 4))) (fma.f64 -100 (/.f64 n (fma.f64 1/2 i -1)) (*.f64 -50 (/.f64 i (pow.f64 (fma.f64 1/2 i -1) 2)))))) |
(fma.f64 -25 (/.f64 (/.f64 (*.f64 i i) n) (pow.f64 (fma.f64 i 1/2 -1) 3)) (fma.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (*.f64 n n) (pow.f64 (fma.f64 i 1/2 -1) 4))) (fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 2)) (*.f64 -100 (/.f64 n (fma.f64 i 1/2 -1)))))) |
(fma.f64 -25 (*.f64 (/.f64 i n) (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 3))) (fma.f64 -25/2 (/.f64 (/.f64 (pow.f64 i 3) (*.f64 n n)) (pow.f64 (fma.f64 i 1/2 -1) 4)) (fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 2)) (*.f64 (/.f64 -100 (fma.f64 i 1/2 -1)) n)))) |
(fma.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (*.f64 n n) (pow.f64 (fma.f64 i -1/2 1) 4))) (fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 2)) (fma.f64 -100 (/.f64 n (fma.f64 i 1/2 -1)) (*.f64 -25 (*.f64 (/.f64 i n) (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 3))))))) |
(*.f64 100 n) |
(*.f64 n 100) |
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(fma.f64 -100 (*.f64 (*.f64 n n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (*.f64 n 100)) |
(fma.f64 -100 (*.f64 i (*.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 n n))) (*.f64 n 100)) |
(fma.f64 n 100 (*.f64 (*.f64 n n) (*.f64 -100 (*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 i n))))) |
(fma.f64 n 100 (*.f64 (*.f64 n n) (*.f64 -100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))))) |
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))) (*.f64 100 n))) |
(fma.f64 -100 (*.f64 (*.f64 n n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (*.f64 (*.f64 i i) (pow.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) 2))) n))) |
(fma.f64 100 (fma.f64 (pow.f64 n 3) (*.f64 (*.f64 i i) (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 2)) n) (*.f64 -100 (*.f64 i (*.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 n n))))) |
(fma.f64 (*.f64 n n) (*.f64 -100 (*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 i n))) (*.f64 100 (fma.f64 (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 2) (*.f64 i (*.f64 i (pow.f64 n 3))) n))) |
(fma.f64 (*.f64 n n) (*.f64 -100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) (*.f64 100 (fma.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) 2) (*.f64 i (*.f64 i (pow.f64 n 3))) n))) |
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 4) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))) (+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))) (*.f64 100 n)))) |
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(/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))) |
(*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 i n)) |
(*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i)) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))) |
(*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 i n)) |
(*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i)) |
(*.f64 -1/2 (/.f64 i n)) |
(/.f64 -1/2 (/.f64 n i)) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))) |
(*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 i n)) |
(*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i)) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))) |
(*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 i n)) |
(*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i)) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))) |
(*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 i n)) |
(*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i)) |
(*.f64 -1/2 (/.f64 i n)) |
(/.f64 -1/2 (/.f64 n i)) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))) |
(*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 i n)) |
(*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i)) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))) |
(*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 i n)) |
(*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i)) |
(+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n))) |
(/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))) |
(*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 i n)) |
(*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i)) |
(*.f64 1/2 (/.f64 i (pow.f64 n 2))) |
(/.f64 (*.f64 i 1/2) (*.f64 n n)) |
(*.f64 1/2 (/.f64 i (*.f64 n n))) |
(*.f64 (/.f64 1/2 n) (/.f64 i n)) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(/.f64 (+.f64 1 (*.f64 -1/2 i)) n) |
(/.f64 (+.f64 1 (*.f64 i -1/2)) n) |
(/.f64 (fma.f64 i -1/2 1) n) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) |
(/.f64 (+.f64 1 (*.f64 i -1/2)) n) |
(/.f64 (fma.f64 i -1/2 1) n) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(/.f64 1 n) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) |
(/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))) |
(*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 i n)) |
(*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i)) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n) |
(/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))) |
(*.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 i n)) |
(*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i)) |
(+.f64 (/.f64 1 n) (/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n)) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n)) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (/.f64 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)) n)) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (fma.f64 1/2 (/.f64 i (*.f64 n n)) (/.f64 -1/2 (/.f64 n i)))) |
(fma.f64 (/.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 1 n)) |
(fma.f64 i (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) n) (/.f64 1 n)) |
(/.f64 1/2 n) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
(+.f64 (/.f64 1/2 n) -1/2) |
(+.f64 -1/2 (/.f64 1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
(+.f64 (/.f64 1/2 n) -1/2) |
(+.f64 -1/2 (/.f64 1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
(+.f64 (/.f64 1/2 n) -1/2) |
(+.f64 -1/2 (/.f64 1/2 n)) |
-1/2 |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
(+.f64 (/.f64 1/2 n) -1/2) |
(+.f64 -1/2 (/.f64 1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
(+.f64 (/.f64 1/2 n) -1/2) |
(+.f64 -1/2 (/.f64 1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
(+.f64 (/.f64 1/2 n) -1/2) |
(+.f64 -1/2 (/.f64 1/2 n)) |
-1/2 |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
(+.f64 (/.f64 1/2 n) -1/2) |
(+.f64 -1/2 (/.f64 1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
(+.f64 (/.f64 1/2 n) -1/2) |
(+.f64 -1/2 (/.f64 1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2) |
(+.f64 (/.f64 1/2 n) -1/2) |
(+.f64 -1/2 (/.f64 1/2 n)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 100 (/.f64 1 n)) | |
| ✓ | 0.3b | (/.f64 100 (/.f64 1 n)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | inf | (/.f64 100 (/.f64 1 n)) |
| 0.0ms | n | @ | -inf | (/.f64 100 (/.f64 1 n)) |
| 0.0ms | n | @ | 0 | (/.f64 100 (/.f64 1 n)) |
| 1× | batch-egg-rewrite |
| 536× | pow1_binary64 |
| 504× | add-log-exp_binary64 |
| 504× | log1p-expm1-u_binary64 |
| 504× | expm1-log1p-u_binary64 |
| 494× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 4 |
| 1 | 129 | 4 |
| 2 | 1453 | 4 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 100 (/.f64 1 n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 100 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 100 n)) (pow.f64 (cbrt.f64 (*.f64 100 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 100 n)) 2) (cbrt.f64 (*.f64 100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 10 (sqrt.f64 n)) (*.f64 10 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -100 (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -100 (/.f64 1 (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 n) 1/100) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) n))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 n))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1 | 5 | 48 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
| Outputs |
|---|
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.7b | (/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) | |
| 0.0b | (/.f64 (+.f64 1 (*.f64 -1/2 i)) n) | |
| ✓ | 0.0b | (/.f64 (+.f64 1 (*.f64 -1/2 i)) n) |
| ✓ | 0.7b | (/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | n | @ | inf | (/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
| 1.0ms | n | @ | 0 | (/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
| 1.0ms | i | @ | 0 | (/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
| 1.0ms | i | @ | inf | (/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
| 1.0ms | n | @ | -inf | (/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
| 1× | batch-egg-rewrite |
| 482× | log-prod_binary64 |
| 384× | exp-prod_binary64 |
| 269× | prod-diff_binary64 |
| 267× | pow2_binary64 |
| 258× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 219 | 19 |
| 2 | 2816 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(/.f64 (+.f64 1 (*.f64 -1/2 i)) n) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (/.f64 100 (fma.f64 -1/2 i 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (/.f64 100 (fma.f64 -1/2 i 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (/.f64 100 (fma.f64 -1/2 i 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (/.f64 100 (fma.f64 -1/2 i 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 n (fma.f64 -1/2 i 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 100 (fma.f64 -1/2 i 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1)))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 i 1) (*.f64 100 n)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 i 1) (*.f64 100 n)) -2)) (cbrt.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 (sqrt.f64 (/.f64 (fma.f64 -1/2 i 1) n))) (/.f64 10 (sqrt.f64 (/.f64 (fma.f64 -1/2 i 1) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -100 (/.f64 1 (/.f64 (neg.f64 (fma.f64 -1/2 i 1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (fma.f64 -1/2 i 1)) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (fma.f64 -1/2 i 1)) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (neg.f64 (fma.f64 -1/2 i 1))) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 100 (fma.f64 -1/2 i 1)) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 100 (fma.f64 -1/2 i 1)) (cbrt.f64 (*.f64 n n))) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 100 (fma.f64 -1/2 i 1)) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 i 1) (*.f64 100 n)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10 (sqrt.f64 (/.f64 (fma.f64 -1/2 i 1) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -1/2 i 1) (*.f64 100 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 -1/2 i 1) (*.f64 100 n)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1))))) 2)) (cbrt.f64 (log.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1)))))) (sqrt.f64 (log.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 i 1) (*.f64 100 n)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) (/.f64 100 (fma.f64 -1/2 i 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 10 (sqrt.f64 (/.f64 (fma.f64 -1/2 i 1) n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 i 1) (*.f64 100 n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (/.f64 n (fma.f64 -1/2 i 1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 -1/2 i 1) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 i 1) n))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 i 1) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 i 1) n)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 -1/2 i 1) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 i 1) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 -1/2 i 1) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 i 1) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 -1/2 i 1) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 i 1) n)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 i 1) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 i 1) n)) 2) (cbrt.f64 (/.f64 (fma.f64 -1/2 i 1) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 i 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 i 1)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 i 1) n)) (sqrt.f64 (/.f64 (fma.f64 -1/2 i 1) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 i 1)) (*.f64 (sqrt.f64 (fma.f64 -1/2 i 1)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 -1/2 i 1)) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (fma.f64 -1/2 i 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 i 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 i 1)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 i 1)) 1) (/.f64 (sqrt.f64 (fma.f64 -1/2 i 1)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 (fma.f64 -1/2 i 1) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 i 1)) 2) (cbrt.f64 (*.f64 n n))) (cbrt.f64 (/.f64 (fma.f64 -1/2 i 1) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 -1/2 i 1)) (cbrt.f64 (*.f64 n n))) (/.f64 (sqrt.f64 (fma.f64 -1/2 i 1)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1/2) (/.f64 (fma.f64 -1/2 i 1) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 i 1)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (fma.f64 -1/2 i 1)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -1/2 i 1) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (fma.f64 -1/2 i 1) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 i 1) n) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 i 1) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 i 1) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 i 1) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (fma.f64 -1/2 i 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 -1/2 i 1) 3) (pow.f64 n 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 n (fma.f64 -1/2 i 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 i 1) n))) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 i 1) n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 i 1) n)))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 -1/2 i 1) n))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 -1/2 i 1) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 i 1) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 i 1) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 i 1) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 i 1) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 i 1) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 i 1) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 i 1) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 i 1) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (fma.f64 -1/2 i 1) n))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 i 1) n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 i 1) n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 n (fma.f64 -1/2 i 1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 i 1) n)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 i 1) n))))))) |
| 1× | egg-herbie |
| 744× | distribute-lft-out_binary64 |
| 663× | associate-/l*_binary64 |
| 654× | fma-def_binary64 |
| 541× | associate-/l/_binary64 |
| 488× | associate-*l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 534 |
| 1 | 122 | 492 |
| 2 | 300 | 465 |
| 3 | 862 | 442 |
| 4 | 3126 | 441 |
| 5 | 7451 | 441 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 100 n) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(+.f64 (*.f64 25 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))) |
(+.f64 (*.f64 25/2 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 25 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)))) |
(*.f64 -200 (/.f64 n i)) |
(+.f64 (*.f64 -400 (/.f64 n (pow.f64 i 2))) (*.f64 -200 (/.f64 n i))) |
(+.f64 (*.f64 -800 (/.f64 n (pow.f64 i 3))) (+.f64 (*.f64 -400 (/.f64 n (pow.f64 i 2))) (*.f64 -200 (/.f64 n i)))) |
(+.f64 (*.f64 -800 (/.f64 n (pow.f64 i 3))) (+.f64 (*.f64 -400 (/.f64 n (pow.f64 i 2))) (+.f64 (*.f64 -1600 (/.f64 n (pow.f64 i 4))) (*.f64 -200 (/.f64 n i))))) |
(*.f64 -200 (/.f64 n i)) |
(+.f64 (*.f64 -400 (/.f64 n (pow.f64 i 2))) (*.f64 -200 (/.f64 n i))) |
(+.f64 (*.f64 -800 (/.f64 n (pow.f64 i 3))) (+.f64 (*.f64 -400 (/.f64 n (pow.f64 i 2))) (*.f64 -200 (/.f64 n i)))) |
(+.f64 (*.f64 -800 (/.f64 n (pow.f64 i 3))) (+.f64 (*.f64 -400 (/.f64 n (pow.f64 i 2))) (+.f64 (*.f64 -1600 (/.f64 n (pow.f64 i 4))) (*.f64 -200 (/.f64 n i))))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 1 n) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(*.f64 -1/2 (/.f64 i n)) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(*.f64 -1/2 (/.f64 i n)) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
| Outputs |
|---|
(*.f64 100 n) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(fma.f64 50 (*.f64 n i) (*.f64 100 n)) |
(fma.f64 100 n (*.f64 i (*.f64 n 50))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (fma.f64 50 i 100)) |
(+.f64 (*.f64 25 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))) |
(fma.f64 25 (*.f64 n (*.f64 i i)) (fma.f64 50 (*.f64 n i) (*.f64 100 n))) |
(fma.f64 25 (*.f64 n (*.f64 i i)) (fma.f64 100 n (*.f64 i (*.f64 n 50)))) |
(fma.f64 100 n (*.f64 n (+.f64 (*.f64 50 i) (*.f64 i (*.f64 i 25))))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 25))))) |
(+.f64 (*.f64 25/2 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 25 (*.f64 n (pow.f64 i 2))) (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)))) |
(fma.f64 25/2 (*.f64 n (pow.f64 i 3)) (fma.f64 25 (*.f64 n (*.f64 i i)) (fma.f64 50 (*.f64 n i) (*.f64 100 n)))) |
(fma.f64 25/2 (*.f64 n (pow.f64 i 3)) (fma.f64 25 (*.f64 n (*.f64 i i)) (fma.f64 100 n (*.f64 i (*.f64 n 50))))) |
(fma.f64 n (*.f64 i (*.f64 i 25)) (fma.f64 n (*.f64 25/2 (pow.f64 i 3)) (*.f64 n (+.f64 100 (*.f64 50 i))))) |
(*.f64 n (+.f64 (fma.f64 50 i 100) (*.f64 (*.f64 i i) (+.f64 (*.f64 i 25/2) 25)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 (*.f64 i (+.f64 25 (*.f64 i 25/2))) 50)))) |
(*.f64 -200 (/.f64 n i)) |
(/.f64 -200 (/.f64 i n)) |
(*.f64 n (/.f64 -200 i)) |
(+.f64 (*.f64 -400 (/.f64 n (pow.f64 i 2))) (*.f64 -200 (/.f64 n i))) |
(fma.f64 -400 (/.f64 n (*.f64 i i)) (*.f64 -200 (/.f64 n i))) |
(fma.f64 -400 (/.f64 n (*.f64 i i)) (/.f64 -200 (/.f64 i n))) |
(*.f64 (/.f64 n i) (+.f64 (/.f64 -400 i) -200)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(+.f64 (*.f64 -800 (/.f64 n (pow.f64 i 3))) (+.f64 (*.f64 -400 (/.f64 n (pow.f64 i 2))) (*.f64 -200 (/.f64 n i)))) |
(fma.f64 -800 (/.f64 n (pow.f64 i 3)) (fma.f64 -400 (/.f64 n (*.f64 i i)) (*.f64 -200 (/.f64 n i)))) |
(fma.f64 -800 (/.f64 n (pow.f64 i 3)) (fma.f64 -400 (/.f64 n (*.f64 i i)) (/.f64 -200 (/.f64 i n)))) |
(fma.f64 -200 (/.f64 n i) (*.f64 (/.f64 n (*.f64 i i)) (+.f64 -400 (/.f64 -800 i)))) |
(*.f64 (/.f64 n i) (+.f64 (/.f64 (/.f64 -800 i) i) (+.f64 -200 (/.f64 -400 i)))) |
(*.f64 (/.f64 n i) (+.f64 -200 (+.f64 (/.f64 -400 i) (/.f64 (/.f64 -800 i) i)))) |
(+.f64 (*.f64 -800 (/.f64 n (pow.f64 i 3))) (+.f64 (*.f64 -400 (/.f64 n (pow.f64 i 2))) (+.f64 (*.f64 -1600 (/.f64 n (pow.f64 i 4))) (*.f64 -200 (/.f64 n i))))) |
(fma.f64 -800 (/.f64 n (pow.f64 i 3)) (fma.f64 -400 (/.f64 n (*.f64 i i)) (fma.f64 -1600 (/.f64 n (pow.f64 i 4)) (*.f64 -200 (/.f64 n i))))) |
(fma.f64 -800 (/.f64 n (pow.f64 i 3)) (fma.f64 -400 (/.f64 n (*.f64 i i)) (fma.f64 -200 (/.f64 n i) (/.f64 (*.f64 n -1600) (pow.f64 i 4))))) |
(fma.f64 -800 (/.f64 n (pow.f64 i 3)) (fma.f64 -1600 (/.f64 n (pow.f64 i 4)) (*.f64 (/.f64 n i) (+.f64 (/.f64 -400 i) -200)))) |
(fma.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i)) (*.f64 (/.f64 n (pow.f64 i 3)) (+.f64 (/.f64 -1600 i) -800))) |
(fma.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i)) (*.f64 (/.f64 n (pow.f64 i 3)) (+.f64 -800 (/.f64 -1600 i)))) |
(*.f64 -200 (/.f64 n i)) |
(/.f64 -200 (/.f64 i n)) |
(*.f64 n (/.f64 -200 i)) |
(+.f64 (*.f64 -400 (/.f64 n (pow.f64 i 2))) (*.f64 -200 (/.f64 n i))) |
(fma.f64 -400 (/.f64 n (*.f64 i i)) (*.f64 -200 (/.f64 n i))) |
(fma.f64 -400 (/.f64 n (*.f64 i i)) (/.f64 -200 (/.f64 i n))) |
(*.f64 (/.f64 n i) (+.f64 (/.f64 -400 i) -200)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(+.f64 (*.f64 -800 (/.f64 n (pow.f64 i 3))) (+.f64 (*.f64 -400 (/.f64 n (pow.f64 i 2))) (*.f64 -200 (/.f64 n i)))) |
(fma.f64 -800 (/.f64 n (pow.f64 i 3)) (fma.f64 -400 (/.f64 n (*.f64 i i)) (*.f64 -200 (/.f64 n i)))) |
(fma.f64 -800 (/.f64 n (pow.f64 i 3)) (fma.f64 -400 (/.f64 n (*.f64 i i)) (/.f64 -200 (/.f64 i n)))) |
(fma.f64 -200 (/.f64 n i) (*.f64 (/.f64 n (*.f64 i i)) (+.f64 -400 (/.f64 -800 i)))) |
(*.f64 (/.f64 n i) (+.f64 (/.f64 (/.f64 -800 i) i) (+.f64 -200 (/.f64 -400 i)))) |
(*.f64 (/.f64 n i) (+.f64 -200 (+.f64 (/.f64 -400 i) (/.f64 (/.f64 -800 i) i)))) |
(+.f64 (*.f64 -800 (/.f64 n (pow.f64 i 3))) (+.f64 (*.f64 -400 (/.f64 n (pow.f64 i 2))) (+.f64 (*.f64 -1600 (/.f64 n (pow.f64 i 4))) (*.f64 -200 (/.f64 n i))))) |
(fma.f64 -800 (/.f64 n (pow.f64 i 3)) (fma.f64 -400 (/.f64 n (*.f64 i i)) (fma.f64 -1600 (/.f64 n (pow.f64 i 4)) (*.f64 -200 (/.f64 n i))))) |
(fma.f64 -800 (/.f64 n (pow.f64 i 3)) (fma.f64 -400 (/.f64 n (*.f64 i i)) (fma.f64 -200 (/.f64 n i) (/.f64 (*.f64 n -1600) (pow.f64 i 4))))) |
(fma.f64 -800 (/.f64 n (pow.f64 i 3)) (fma.f64 -1600 (/.f64 n (pow.f64 i 4)) (*.f64 (/.f64 n i) (+.f64 (/.f64 -400 i) -200)))) |
(fma.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i)) (*.f64 (/.f64 n (pow.f64 i 3)) (+.f64 (/.f64 -1600 i) -800))) |
(fma.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i)) (*.f64 (/.f64 n (pow.f64 i 3)) (+.f64 -800 (/.f64 -1600 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i -1/2 1)) |
(*.f64 100 (/.f64 n (fma.f64 i -1/2 1))) |
(*.f64 n (/.f64 100 (fma.f64 i -1/2 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i -1/2 1)) |
(*.f64 100 (/.f64 n (fma.f64 i -1/2 1))) |
(*.f64 n (/.f64 100 (fma.f64 i -1/2 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i -1/2 1)) |
(*.f64 100 (/.f64 n (fma.f64 i -1/2 1))) |
(*.f64 n (/.f64 100 (fma.f64 i -1/2 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i -1/2 1)) |
(*.f64 100 (/.f64 n (fma.f64 i -1/2 1))) |
(*.f64 n (/.f64 100 (fma.f64 i -1/2 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i -1/2 1)) |
(*.f64 100 (/.f64 n (fma.f64 i -1/2 1))) |
(*.f64 n (/.f64 100 (fma.f64 i -1/2 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i -1/2 1)) |
(*.f64 100 (/.f64 n (fma.f64 i -1/2 1))) |
(*.f64 n (/.f64 100 (fma.f64 i -1/2 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i -1/2 1)) |
(*.f64 100 (/.f64 n (fma.f64 i -1/2 1))) |
(*.f64 n (/.f64 100 (fma.f64 i -1/2 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i -1/2 1)) |
(*.f64 100 (/.f64 n (fma.f64 i -1/2 1))) |
(*.f64 n (/.f64 100 (fma.f64 i -1/2 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i -1/2 1)) |
(*.f64 100 (/.f64 n (fma.f64 i -1/2 1))) |
(*.f64 n (/.f64 100 (fma.f64 i -1/2 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i -1/2 1)) |
(*.f64 100 (/.f64 n (fma.f64 i -1/2 1))) |
(*.f64 n (/.f64 100 (fma.f64 i -1/2 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i -1/2 1)) |
(*.f64 100 (/.f64 n (fma.f64 i -1/2 1))) |
(*.f64 n (/.f64 100 (fma.f64 i -1/2 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i -1/2 1)) |
(*.f64 100 (/.f64 n (fma.f64 i -1/2 1))) |
(*.f64 n (/.f64 100 (fma.f64 i -1/2 1))) |
(/.f64 1 n) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (/.f64 1 n)) |
(*.f64 -1/2 (/.f64 i n)) |
(/.f64 i (/.f64 n -1/2)) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (/.f64 1 n)) |
(*.f64 -1/2 (/.f64 i n)) |
(/.f64 i (/.f64 n -1/2)) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (/.f64 1 n)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 i 1/12) | |
| 0.2b | (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) | |
| 0.1b | (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)) | |
| 0.0b | (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2))) | |
| ✓ | 0.0b | (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2))) |
| ✓ | 0.1b | (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)) |
| ✓ | 0.2b | (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
| ✓ | 0.3b | (*.f64 i 1/12) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | i | @ | inf | (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)) |
| 1.0ms | n | @ | 0 | (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
| 1.0ms | n | @ | -inf | (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
| 1.0ms | n | @ | inf | (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
| 1.0ms | i | @ | inf | (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
| 1× | batch-egg-rewrite |
| 735× | log-prod_binary64 |
| 449× | fma-def_binary64 |
| 275× | expm1-udef_binary64 |
| 275× | log1p-udef_binary64 |
| 265× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 52 |
| 1 | 322 | 48 |
| 2 | 4497 | 48 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 i 1/12) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
(*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2))) |
| Outputs |
|---|
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1/12))) (fma.f64 (/.f64 i n) -1/2 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 i 1/12)) (sqrt.f64 (/.f64 i n))) (*.f64 (sqrt.f64 (*.f64 i 1/12)) (sqrt.f64 (/.f64 i n))) (fma.f64 (/.f64 i n) -1/2 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 i 1/12) i) (/.f64 1 n) (fma.f64 (/.f64 i n) -1/2 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 i n) i) 1/12 (fma.f64 (/.f64 i n) -1/2 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 i n) (pow.f64 (cbrt.f64 (fma.f64 i 1/12 -1/2)) 2)) (cbrt.f64 (fma.f64 i 1/12 -1/2)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 i n) (sqrt.f64 (fma.f64 i 1/12 -1/2))) (sqrt.f64 (fma.f64 i 1/12 -1/2)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 i 1/12 -1/2) (cbrt.f64 (pow.f64 (/.f64 i n) 2))) (cbrt.f64 (/.f64 i n)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 i 1/12 -1/2) (sqrt.f64 (/.f64 i n))) (sqrt.f64 (/.f64 i n)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 i n) 1/12) i (fma.f64 (/.f64 i n) -1/2 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 i n) (pow.f64 (cbrt.f64 (*.f64 i 1/12)) 2)) (cbrt.f64 (*.f64 i 1/12)) (fma.f64 (/.f64 i n) -1/2 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 i n) (sqrt.f64 (*.f64 i 1/12))) (sqrt.f64 (*.f64 i 1/12)) (fma.f64 (/.f64 i n) -1/2 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 i 1/12) (cbrt.f64 (pow.f64 (/.f64 i n) 2))) (cbrt.f64 (/.f64 i n)) (fma.f64 (/.f64 i n) -1/2 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 i 1/12) (sqrt.f64 (/.f64 i n))) (sqrt.f64 (/.f64 i n)) (fma.f64 (/.f64 i n) -1/2 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 i n) (fma.f64 i 1/12 -1/2) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 i n) (fma.f64 i 1/12 -1/2) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 i n) (fma.f64 i 1/12 -1/2) (/.f64 1 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 i n) (fma.f64 i 1/12 -1/2) (/.f64 1 n)))))))) |
| 1× | egg-herbie |
| 695× | fma-neg_binary64 |
| 622× | times-frac_binary64 |
| 419× | fma-def_binary64 |
| 378× | distribute-rgt-neg-in_binary64 |
| 364× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 1259 |
| 1 | 280 | 1195 |
| 2 | 909 | 1143 |
| 3 | 3514 | 1116 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(*.f64 -100 (/.f64 n (-.f64 (*.f64 -1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) 1))) |
(*.f64 -100 (/.f64 n (-.f64 (*.f64 -1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) 1))) |
(*.f64 -100 (/.f64 n (-.f64 (*.f64 -1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) 1))) |
(*.f64 -100 (/.f64 n (-.f64 (*.f64 -1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) 1))) |
(*.f64 100 n) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 i 2) (+.f64 (*.f64 -25 n) (*.f64 25/3 n)))) (+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 i 2) (+.f64 (*.f64 -25 n) (*.f64 25/3 n)))) (+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 i 3) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -25 n) (*.f64 25/3 n))) (*.f64 25/6 n)))) (*.f64 100 n)))) |
(*.f64 1200 (/.f64 n (pow.f64 i 2))) |
(+.f64 (*.f64 1200 (/.f64 n (pow.f64 i 2))) (*.f64 7200 (/.f64 n (pow.f64 i 3)))) |
(+.f64 (*.f64 1200 (/.f64 n (pow.f64 i 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -43200 n) (*.f64 14400 n)) (pow.f64 i 4))) (*.f64 7200 (/.f64 n (pow.f64 i 3))))) |
(+.f64 (*.f64 1200 (/.f64 n (pow.f64 i 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 86400 n) (*.f64 6 (+.f64 (*.f64 -43200 n) (*.f64 14400 n)))) (pow.f64 i 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -43200 n) (*.f64 14400 n)) (pow.f64 i 4))) (*.f64 7200 (/.f64 n (pow.f64 i 3)))))) |
(*.f64 1200 (/.f64 n (pow.f64 i 2))) |
(+.f64 (*.f64 1200 (/.f64 n (pow.f64 i 2))) (*.f64 7200 (/.f64 n (pow.f64 i 3)))) |
(+.f64 (*.f64 1200 (/.f64 n (pow.f64 i 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -43200 n) (*.f64 14400 n)) (pow.f64 i 4))) (*.f64 7200 (/.f64 n (pow.f64 i 3))))) |
(+.f64 (*.f64 1200 (/.f64 n (pow.f64 i 2))) (+.f64 (*.f64 -86400 (/.f64 n (pow.f64 i 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -43200 n) (*.f64 14400 n)) (pow.f64 i 4))) (+.f64 (*.f64 -6 (/.f64 (+.f64 (*.f64 -43200 n) (*.f64 14400 n)) (pow.f64 i 5))) (*.f64 7200 (/.f64 n (pow.f64 i 3))))))) |
(*.f64 -1/2 (/.f64 i n)) |
(+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))) |
(*.f64 1/12 (/.f64 (pow.f64 i 2) n)) |
(+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))) |
(*.f64 1/12 (/.f64 (pow.f64 i 2) n)) |
(+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2)) n) |
(/.f64 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2)) n) |
(/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n) |
(/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n) |
(/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n) |
(/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n) |
(/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n) |
(/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n) |
(/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n) |
(/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) 1) n)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) 1) n)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) 1) n)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) 1) n)) |
(/.f64 1 n) |
(+.f64 (/.f64 1 n) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))) |
(*.f64 1/12 (/.f64 (pow.f64 i 2) n)) |
(+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))) |
(*.f64 1/12 (/.f64 (pow.f64 i 2) n)) |
(+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))) |
| Outputs |
|---|
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 1/12 i) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(/.f64 (*.f64 100 n) (+.f64 1 (*.f64 i (fma.f64 1/12 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i (fma.f64 1/12 i -1/2) 1)) |
(*.f64 100 (/.f64 n (fma.f64 i (fma.f64 1/12 i -1/2) 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(/.f64 (*.f64 100 n) (+.f64 1 (*.f64 i (fma.f64 1/12 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i (fma.f64 1/12 i -1/2) 1)) |
(*.f64 100 (/.f64 n (fma.f64 i (fma.f64 1/12 i -1/2) 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(/.f64 (*.f64 100 n) (+.f64 1 (*.f64 i (fma.f64 1/12 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i (fma.f64 1/12 i -1/2) 1)) |
(*.f64 100 (/.f64 n (fma.f64 i (fma.f64 1/12 i -1/2) 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(/.f64 (*.f64 100 n) (+.f64 1 (*.f64 i (fma.f64 1/12 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i (fma.f64 1/12 i -1/2) 1)) |
(*.f64 100 (/.f64 n (fma.f64 i (fma.f64 1/12 i -1/2) 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(/.f64 (*.f64 100 n) (+.f64 1 (*.f64 i (fma.f64 1/12 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i (fma.f64 1/12 i -1/2) 1)) |
(*.f64 100 (/.f64 n (fma.f64 i (fma.f64 1/12 i -1/2) 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(/.f64 (*.f64 100 n) (+.f64 1 (*.f64 i (fma.f64 1/12 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i (fma.f64 1/12 i -1/2) 1)) |
(*.f64 100 (/.f64 n (fma.f64 i (fma.f64 1/12 i -1/2) 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(/.f64 (*.f64 100 n) (+.f64 1 (*.f64 i (fma.f64 1/12 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i (fma.f64 1/12 i -1/2) 1)) |
(*.f64 100 (/.f64 n (fma.f64 i (fma.f64 1/12 i -1/2) 1))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))))) |
(/.f64 (*.f64 100 n) (+.f64 1 (*.f64 i (fma.f64 1/12 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i (fma.f64 1/12 i -1/2) 1)) |
(*.f64 100 (/.f64 n (fma.f64 i (fma.f64 1/12 i -1/2) 1))) |
(*.f64 -100 (/.f64 n (-.f64 (*.f64 -1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) 1))) |
(/.f64 (*.f64 100 n) (+.f64 1 (*.f64 i (fma.f64 1/12 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i (fma.f64 1/12 i -1/2) 1)) |
(*.f64 100 (/.f64 n (fma.f64 i (fma.f64 1/12 i -1/2) 1))) |
(*.f64 -100 (/.f64 n (-.f64 (*.f64 -1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) 1))) |
(/.f64 (*.f64 100 n) (+.f64 1 (*.f64 i (fma.f64 1/12 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i (fma.f64 1/12 i -1/2) 1)) |
(*.f64 100 (/.f64 n (fma.f64 i (fma.f64 1/12 i -1/2) 1))) |
(*.f64 -100 (/.f64 n (-.f64 (*.f64 -1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) 1))) |
(/.f64 (*.f64 100 n) (+.f64 1 (*.f64 i (fma.f64 1/12 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i (fma.f64 1/12 i -1/2) 1)) |
(*.f64 100 (/.f64 n (fma.f64 i (fma.f64 1/12 i -1/2) 1))) |
(*.f64 -100 (/.f64 n (-.f64 (*.f64 -1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) 1))) |
(/.f64 (*.f64 100 n) (+.f64 1 (*.f64 i (fma.f64 1/12 i -1/2)))) |
(/.f64 (*.f64 100 n) (fma.f64 i (fma.f64 1/12 i -1/2) 1)) |
(*.f64 100 (/.f64 n (fma.f64 i (fma.f64 1/12 i -1/2) 1))) |
(*.f64 100 n) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(fma.f64 50 (*.f64 i n) (*.f64 100 n)) |
(fma.f64 100 n (*.f64 50 (*.f64 i n))) |
(*.f64 n (+.f64 100 (*.f64 i 50))) |
(*.f64 n (+.f64 (*.f64 i 50) 100)) |
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(fma.f64 -1 (*.f64 (*.f64 i i) (*.f64 n -50/3)) (fma.f64 50 (*.f64 i n) (*.f64 100 n))) |
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(*.f64 1/12 (/.f64 (*.f64 i i) n)) |
(*.f64 1/12 (/.f64 i (/.f64 n i))) |
(+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/12 (/.f64 (*.f64 i i) n) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/12 (/.f64 i (/.f64 n i)) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (*.f64 1/12 (/.f64 i (/.f64 n i)))) |
(*.f64 i (+.f64 (/.f64 1/12 (/.f64 n i)) (/.f64 -1/2 n))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (fma.f64 1/12 (/.f64 (*.f64 i i) n) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n)) |
(+.f64 (*.f64 1/12 (/.f64 i (/.f64 n i))) (fma.f64 -1/2 (/.f64 i n) (/.f64 1 n))) |
(fma.f64 -1/2 (/.f64 i n) (fma.f64 1/12 (/.f64 i (/.f64 n i)) (/.f64 1 n))) |
(fma.f64 -1/2 (/.f64 i n) (fma.f64 1/12 (/.f64 (*.f64 i i) n) (/.f64 1 n))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (fma.f64 1/12 (/.f64 (*.f64 i i) n) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n)) |
(+.f64 (*.f64 1/12 (/.f64 i (/.f64 n i))) (fma.f64 -1/2 (/.f64 i n) (/.f64 1 n))) |
(fma.f64 -1/2 (/.f64 i n) (fma.f64 1/12 (/.f64 i (/.f64 n i)) (/.f64 1 n))) |
(fma.f64 -1/2 (/.f64 i n) (fma.f64 1/12 (/.f64 (*.f64 i i) n) (/.f64 1 n))) |
(*.f64 1/12 (/.f64 (pow.f64 i 2) n)) |
(*.f64 1/12 (/.f64 (*.f64 i i) n)) |
(*.f64 1/12 (/.f64 i (/.f64 n i))) |
(+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/12 (/.f64 (*.f64 i i) n) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/12 (/.f64 i (/.f64 n i)) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (*.f64 1/12 (/.f64 i (/.f64 n i)))) |
(*.f64 i (+.f64 (/.f64 1/12 (/.f64 n i)) (/.f64 -1/2 n))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (fma.f64 1/12 (/.f64 (*.f64 i i) n) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n)) |
(+.f64 (*.f64 1/12 (/.f64 i (/.f64 n i))) (fma.f64 -1/2 (/.f64 i n) (/.f64 1 n))) |
(fma.f64 -1/2 (/.f64 i n) (fma.f64 1/12 (/.f64 i (/.f64 n i)) (/.f64 1 n))) |
(fma.f64 -1/2 (/.f64 i n) (fma.f64 1/12 (/.f64 (*.f64 i i) n) (/.f64 1 n))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/12 (/.f64 (pow.f64 i 2) n)) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (fma.f64 1/12 (/.f64 (*.f64 i i) n) (*.f64 -1/2 (/.f64 i n))) (/.f64 1 n)) |
(+.f64 (*.f64 1/12 (/.f64 i (/.f64 n i))) (fma.f64 -1/2 (/.f64 i n) (/.f64 1 n))) |
(fma.f64 -1/2 (/.f64 i n) (fma.f64 1/12 (/.f64 i (/.f64 n i)) (/.f64 1 n))) |
(fma.f64 -1/2 (/.f64 i n) (fma.f64 1/12 (/.f64 (*.f64 i i) n) (/.f64 1 n))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 4.2b | (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n)) | |
| 0.3b | (/.f64 100 (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n))) | |
| 0.2b | (*.f64 (/.f64 1/2 n) (/.f64 1 n)) | |
| 0.0b | (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) | |
| ✓ | 0.0b | (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) |
| ✓ | 0.2b | (*.f64 (/.f64 1/2 n) (/.f64 1 n)) |
| ✓ | 0.3b | (/.f64 100 (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
| ✓ | 4.2b | (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | i | @ | inf | (/.f64 100 (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
| 0.0ms | i | @ | -inf | (/.f64 100 (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
| 0.0ms | i | @ | 0 | (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
| 0.0ms | i | @ | 0 | (/.f64 100 (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
| 0.0ms | n | @ | inf | (/.f64 100 (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 598× | log-prod_binary64 |
| 432× | fma-def_binary64 |
| 335× | pow2_binary64 |
| 267× | egg-rr |
| 239× | fma-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 63 |
| 1 | 313 | 54 |
| 2 | 4208 | 54 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(/.f64 100 (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(*.f64 (/.f64 1/2 n) (/.f64 1 n)) |
(+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) |
| Outputs |
|---|
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(2) ((x fma.f64 (*.f64 (/.f64 1 n) (cbrt.f64 (*.f64 1/4 (pow.f64 n -2)))) (cbrt.f64 (/.f64 1/2 n)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 n))) (sqrt.f64 (/.f64 1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 n) (cbrt.f64 (*.f64 1/4 (pow.f64 n -2)))) (cbrt.f64 (/.f64 1/2 n)) (*.f64 -1 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 n) (sqrt.f64 (/.f64 1/2 n))) (sqrt.f64 (/.f64 1/2 n)) (/.f64 1/2 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 n) (sqrt.f64 (/.f64 1/2 n))) (sqrt.f64 (/.f64 1/2 n)) (neg.f64 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 n) (sqrt.f64 (/.f64 1/2 n))) (sqrt.f64 (/.f64 1/2 n)) (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 n -2)))) (cbrt.f64 (/.f64 1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 n) (sqrt.f64 (/.f64 1/2 n))) (sqrt.f64 (/.f64 1/2 n)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 n))) (sqrt.f64 (/.f64 1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 n) (sqrt.f64 (/.f64 1/2 n))) (sqrt.f64 (/.f64 1/2 n)) (*.f64 -1 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 n)) (*.f64 1/2 (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 n -1/2)) (pow.f64 n -1/2) (*.f64 1/2 (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 n)) (*.f64 1/2 (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 n -1/2)) (pow.f64 n -1/2) (*.f64 1/2 (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 1/2 n) -1/2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 1/2 n) -1/2) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 1/2 n) -1/2) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 1/2 n) -1/2) n))))))) |
| 1× | egg-herbie |
| 958× | times-frac_binary64 |
| 787× | associate-/r*_binary64 |
| 494× | fma-def_binary64 |
| 462× | associate-/l*_binary64 |
| 337× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 1886 |
| 1 | 416 | 1815 |
| 2 | 1567 | 1758 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 n) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(*.f64 1/2 (/.f64 i (pow.f64 n 2))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(/.f64 (+.f64 1 (*.f64 -1/2 i)) n) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(+.f64 (/.f64 1 n) (+.f64 (*.f64 1/2 (/.f64 i (pow.f64 n 2))) (*.f64 -1/2 (/.f64 i n)))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 i) 1) n)) (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(*.f64 100 n) |
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))) (*.f64 100 n))) |
(+.f64 (*.f64 -100 (*.f64 (pow.f64 n 4) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))) (+.f64 (*.f64 -100 (*.f64 (pow.f64 n 2) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))) (*.f64 100 n)))) |
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(-.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))))) (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))))) (+.f64 (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 4) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 4))))))) |
(/.f64 100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(-.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))))) (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2)))))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))))) (+.f64 (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 4) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 4))))))) |
(*.f64 200 (/.f64 (pow.f64 n 2) i)) |
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2)))) |
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (+.f64 (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2))) (*.f64 800 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)) (pow.f64 i 3))))) |
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (+.f64 (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2))) (+.f64 (*.f64 -1600 (/.f64 (*.f64 (pow.f64 n 5) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)) (pow.f64 i 4))) (*.f64 800 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)) (pow.f64 i 3)))))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)))) |
(+.f64 (*.f64 25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)))) (+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2))))) |
(+.f64 (*.f64 25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)))) (+.f64 (*.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 n 2) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 4)))) (+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)))))) |
(*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) |
(+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2)))) |
(+.f64 (*.f64 -25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (-.f64 (*.f64 1/2 i) 1) 3)))) (+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2))))) |
(+.f64 (*.f64 -25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (-.f64 (*.f64 1/2 i) 1) 3)))) (+.f64 (*.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 n 2) (pow.f64 (-.f64 (*.f64 1/2 i) 1) 4)))) (+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2)))))) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(/.f64 -1/2 n) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(/.f64 -1/2 n) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
| Outputs |
|---|
(/.f64 1 n) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
(+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) |
(*.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) |
(*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (/.f64 1 n) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n)) |
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(+.f64 (/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (-.f64 (/.f64 100 (*.f64 (*.f64 n n) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) 3)))) (/.f64 100 (*.f64 n (*.f64 (*.f64 i i) (pow.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) 2)))))) |
(+.f64 (/.f64 (/.f64 100 i) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (+.f64 (/.f64 100 (*.f64 (*.f64 n n) (*.f64 (pow.f64 i 3) (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 3)))) (/.f64 -100 (*.f64 n (*.f64 i (*.f64 i (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 2))))))) |
(+.f64 (/.f64 (/.f64 (/.f64 100 (*.f64 n n)) (pow.f64 i 3)) (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 3)) (-.f64 (/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) (/.f64 (/.f64 (/.f64 100 (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 2)) (*.f64 i i)) n))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 1 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 2) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 3)))))) (+.f64 (*.f64 100 (/.f64 1 (*.f64 n (*.f64 (pow.f64 i 2) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 2))))) (*.f64 100 (/.f64 1 (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 i 4) (pow.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) 4))))))) |
(+.f64 (/.f64 100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (-.f64 (/.f64 100 (*.f64 (*.f64 n n) (*.f64 (pow.f64 i 3) (pow.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) 3)))) (+.f64 (/.f64 100 (*.f64 n (*.f64 (*.f64 i i) (pow.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) 2)))) (/.f64 100 (*.f64 (*.f64 (pow.f64 n 3) (pow.f64 i 4)) (pow.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) 4)))))) |
(+.f64 (/.f64 (/.f64 100 i) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (-.f64 (/.f64 100 (*.f64 (*.f64 n n) (*.f64 (pow.f64 i 3) (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 3)))) (+.f64 (/.f64 100 (*.f64 n (*.f64 i (*.f64 i (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 2))))) (/.f64 100 (*.f64 (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 4) (*.f64 (pow.f64 n 3) (pow.f64 i 4))))))) |
(+.f64 (/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) (+.f64 (-.f64 (/.f64 (/.f64 (/.f64 100 (*.f64 n n)) (pow.f64 i 3)) (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 3)) (/.f64 100 (*.f64 (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 4) (*.f64 (pow.f64 n 3) (pow.f64 i 4))))) (/.f64 (/.f64 -100 n) (*.f64 i (*.f64 i (pow.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) 2)))))) |
(*.f64 200 (/.f64 (pow.f64 n 2) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2)))) |
(fma.f64 200 (/.f64 (*.f64 n n) i) (/.f64 (*.f64 -400 (*.f64 (+.f64 1 (*.f64 i -1/2)) (pow.f64 n 3))) (*.f64 i i))) |
(fma.f64 200 (/.f64 (*.f64 n n) i) (*.f64 (/.f64 -400 i) (/.f64 (*.f64 (fma.f64 i -1/2 1) (pow.f64 n 3)) i))) |
(fma.f64 -400 (/.f64 (fma.f64 i -1/2 1) (/.f64 (*.f64 i i) (pow.f64 n 3))) (*.f64 200 (/.f64 (*.f64 n n) i))) |
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (+.f64 (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2))) (*.f64 800 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)) (pow.f64 i 3))))) |
(fma.f64 200 (/.f64 (*.f64 n n) i) (fma.f64 -400 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (+.f64 1 (*.f64 i -1/2)))) (*.f64 800 (/.f64 (pow.f64 n 4) (/.f64 (pow.f64 i 3) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2)))))) |
(fma.f64 200 (/.f64 (*.f64 n n) i) (fma.f64 800 (*.f64 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (pow.f64 (fma.f64 i -1/2 1) 2)) (*.f64 (/.f64 -400 i) (/.f64 (*.f64 (fma.f64 i -1/2 1) (pow.f64 n 3)) i)))) |
(fma.f64 200 (/.f64 (*.f64 n n) i) (fma.f64 800 (*.f64 (pow.f64 (fma.f64 i -1/2 1) 2) (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (*.f64 -400 (/.f64 (fma.f64 i -1/2 1) (/.f64 (*.f64 i i) (pow.f64 n 3)))))) |
(+.f64 (*.f64 200 (/.f64 (pow.f64 n 2) i)) (+.f64 (*.f64 -400 (/.f64 (*.f64 (pow.f64 n 3) (+.f64 1 (*.f64 -1/2 i))) (pow.f64 i 2))) (+.f64 (*.f64 -1600 (/.f64 (*.f64 (pow.f64 n 5) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)) (pow.f64 i 4))) (*.f64 800 (/.f64 (*.f64 (pow.f64 n 4) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)) (pow.f64 i 3)))))) |
(fma.f64 200 (/.f64 (*.f64 n n) i) (fma.f64 -400 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (+.f64 1 (*.f64 i -1/2)))) (fma.f64 -1600 (/.f64 (pow.f64 n 5) (/.f64 (pow.f64 i 4) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 3))) (*.f64 800 (/.f64 (pow.f64 n 4) (/.f64 (pow.f64 i 3) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2))))))) |
(fma.f64 200 (/.f64 (*.f64 n n) i) (fma.f64 -400 (*.f64 (/.f64 (fma.f64 i -1/2 1) i) (/.f64 (pow.f64 n 3) i)) (fma.f64 800 (*.f64 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (pow.f64 (fma.f64 i -1/2 1) 2)) (*.f64 -1600 (*.f64 (/.f64 (pow.f64 n 5) (pow.f64 i 4)) (pow.f64 (fma.f64 i -1/2 1) 3)))))) |
(fma.f64 200 (/.f64 (*.f64 n n) i) (fma.f64 800 (*.f64 (pow.f64 (fma.f64 i -1/2 1) 2) (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (fma.f64 -1600 (*.f64 (pow.f64 (fma.f64 i -1/2 1) 3) (/.f64 (pow.f64 n 5) (pow.f64 i 4))) (*.f64 -400 (/.f64 (fma.f64 i -1/2 1) (/.f64 (*.f64 i i) (pow.f64 n 3))))))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) |
(*.f64 100 (/.f64 n (fma.f64 i -1/2 1))) |
(+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)))) |
(fma.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2)))) |
(fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 2)) (*.f64 100 (/.f64 n (fma.f64 i -1/2 1)))) |
(fma.f64 100 (/.f64 n (fma.f64 i -1/2 1)) (/.f64 (*.f64 i -50) (pow.f64 (fma.f64 i -1/2 1) 2))) |
(+.f64 (*.f64 25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)))) (+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2))))) |
(fma.f64 25 (/.f64 (*.f64 i i) (*.f64 n (pow.f64 (+.f64 1 (*.f64 i -1/2)) 3))) (fma.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2))))) |
(fma.f64 25 (*.f64 (/.f64 i n) (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 3))) (fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 2)) (*.f64 100 (/.f64 n (fma.f64 i -1/2 1))))) |
(fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 2)) (fma.f64 100 (/.f64 n (fma.f64 i -1/2 1)) (*.f64 (/.f64 25 n) (/.f64 i (/.f64 (pow.f64 (fma.f64 i -1/2 1) 3) i))))) |
(+.f64 (*.f64 25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 3)))) (+.f64 (*.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 n 2) (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 4)))) (+.f64 (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 -1/2 i)) 2)))))) |
(fma.f64 25 (/.f64 (*.f64 i i) (*.f64 n (pow.f64 (+.f64 1 (*.f64 i -1/2)) 3))) (fma.f64 -25/2 (/.f64 (/.f64 (pow.f64 i 3) (*.f64 n n)) (pow.f64 (+.f64 1 (*.f64 i -1/2)) 4)) (fma.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2))) (*.f64 -50 (/.f64 i (pow.f64 (+.f64 1 (*.f64 i -1/2)) 2)))))) |
(fma.f64 25 (*.f64 (/.f64 i n) (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 3))) (fma.f64 -25/2 (/.f64 (/.f64 (pow.f64 i 3) (*.f64 n n)) (pow.f64 (fma.f64 i -1/2 1) 4)) (fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 2)) (*.f64 100 (/.f64 n (fma.f64 i -1/2 1)))))) |
(fma.f64 25 (*.f64 (/.f64 i n) (/.f64 i (pow.f64 (fma.f64 i -1/2 1) 3))) (fma.f64 100 (/.f64 n (fma.f64 i -1/2 1)) (fma.f64 -25/2 (/.f64 (/.f64 (pow.f64 i 3) (*.f64 n n)) (pow.f64 (fma.f64 i -1/2 1) 4)) (/.f64 (*.f64 i -50) (pow.f64 (fma.f64 i -1/2 1) 2))))) |
(*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) |
(*.f64 -100 (/.f64 n (fma.f64 1/2 i -1))) |
(*.f64 -100 (/.f64 n (fma.f64 i 1/2 -1))) |
(/.f64 (*.f64 n -100) (fma.f64 i 1/2 -1)) |
(+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2)))) |
(fma.f64 -100 (/.f64 n (fma.f64 1/2 i -1)) (/.f64 (*.f64 -50 i) (pow.f64 (fma.f64 1/2 i -1) 2))) |
(fma.f64 -100 (/.f64 n (fma.f64 i 1/2 -1)) (/.f64 (*.f64 i -50) (pow.f64 (fma.f64 i 1/2 -1) 2))) |
(fma.f64 -100 (/.f64 n (fma.f64 i 1/2 -1)) (/.f64 -50 (/.f64 (pow.f64 (fma.f64 i 1/2 -1) 2) i))) |
(+.f64 (*.f64 -25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (-.f64 (*.f64 1/2 i) 1) 3)))) (+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2))))) |
(fma.f64 -25 (/.f64 (/.f64 (*.f64 i i) n) (pow.f64 (fma.f64 1/2 i -1) 3)) (fma.f64 -100 (/.f64 n (fma.f64 1/2 i -1)) (/.f64 (*.f64 -50 i) (pow.f64 (fma.f64 1/2 i -1) 2)))) |
(fma.f64 -25 (*.f64 (/.f64 i n) (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 3))) (fma.f64 -100 (/.f64 n (fma.f64 i 1/2 -1)) (/.f64 (*.f64 i -50) (pow.f64 (fma.f64 i 1/2 -1) 2)))) |
(fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 2)) (fma.f64 -100 (/.f64 n (fma.f64 i 1/2 -1)) (*.f64 (*.f64 (/.f64 i n) i) (/.f64 -25 (pow.f64 (fma.f64 i 1/2 -1) 3))))) |
(+.f64 (*.f64 -25 (/.f64 (pow.f64 i 2) (*.f64 n (pow.f64 (-.f64 (*.f64 1/2 i) 1) 3)))) (+.f64 (*.f64 -25/2 (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 n 2) (pow.f64 (-.f64 (*.f64 1/2 i) 1) 4)))) (+.f64 (*.f64 -100 (/.f64 n (-.f64 (*.f64 1/2 i) 1))) (*.f64 -50 (/.f64 i (pow.f64 (-.f64 (*.f64 1/2 i) 1) 2)))))) |
(fma.f64 -25 (/.f64 (/.f64 (*.f64 i i) n) (pow.f64 (fma.f64 1/2 i -1) 3)) (fma.f64 -25/2 (/.f64 (/.f64 (pow.f64 i 3) (*.f64 n n)) (pow.f64 (fma.f64 1/2 i -1) 4)) (fma.f64 -100 (/.f64 n (fma.f64 1/2 i -1)) (/.f64 (*.f64 -50 i) (pow.f64 (fma.f64 1/2 i -1) 2))))) |
(fma.f64 -25 (*.f64 (/.f64 i n) (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 3))) (fma.f64 -25/2 (/.f64 (/.f64 (pow.f64 i 3) (*.f64 n n)) (pow.f64 (fma.f64 i 1/2 -1) 4)) (fma.f64 -100 (/.f64 n (fma.f64 i 1/2 -1)) (/.f64 (*.f64 i -50) (pow.f64 (fma.f64 i 1/2 -1) 2))))) |
(fma.f64 -25/2 (/.f64 (/.f64 (pow.f64 i 3) (*.f64 n n)) (pow.f64 (fma.f64 i 1/2 -1) 4)) (fma.f64 -50 (/.f64 i (pow.f64 (fma.f64 i 1/2 -1) 2)) (fma.f64 -100 (/.f64 n (fma.f64 i 1/2 -1)) (*.f64 (*.f64 (/.f64 i n) i) (/.f64 -25 (pow.f64 (fma.f64 i 1/2 -1) 3)))))) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (*.f64 n n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(/.f64 -1/2 n) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(/.f64 -1/2 n) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) |
(-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) |
(+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) |
Compiled 24457 to 17336 computations (29.1% saved)
42 alts after pruning (35 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1086 | 18 | 1104 |
| Fresh | 4 | 17 | 21 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 7 | 10 |
| Total | 1094 | 42 | 1136 |
| Status | Error | Program |
|---|---|---|
| 16.6b | (/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))))) | |
| 54.6b | (/.f64 100 (*.f64 -1/2 (/.f64 i n))) | |
| ✓ | 49.0b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 22.8b | (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) | |
| 27.5b | (*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) | |
| 60.1b | (*.f64 n (*.f64 50 i)) | |
| ✓ | 17.0b | (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
| 60.1b | (*.f64 50 (*.f64 n i)) | |
| 25.5b | (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) | |
| 27.3b | (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) | |
| 18.7b | (*.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 100) | |
| 25.3b | (/.f64 100 (*.f64 1 (/.f64 i (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) | |
| 48.7b | (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) | |
| 50.4b | (*.f64 200 (*.f64 (/.f64 n i) n)) | |
| 53.4b | (*.f64 n (/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100)) i)) | |
| ✓ | 17.1b | (/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
| 15.1b | (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n)))) | |
| 18.9b | (/.f64 100 (/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n)) | |
| ✓ | 26.9b | (*.f64 n 100) |
| 27.3b | (*.f64 n (+.f64 100 (*.f64 50 i))) | |
| 55.7b | (*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) | |
| 50.4b | (/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) | |
| 13.6b | (/.f64 100 (fma.f64 (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)) (/.f64 1 n) (/.f64 1 n))) | |
| ✓ | 27.0b | (/.f64 100 (/.f64 1 n)) |
| 50.4b | (*.f64 200 (/.f64 (*.f64 n n) i)) | |
| 49.1b | (*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) | |
| ✓ | 29.2b | (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) |
| 49.1b | (/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i) | |
| 55.0b | (*.f64 n (/.f64 -200 i)) | |
| 27.3b | (fma.f64 n 100 (*.f64 i (*.f64 50 n))) | |
| 55.0b | (*.f64 -200 (/.f64 n i)) | |
| 50.8b | (*.f64 n (+.f64 (/.f64 100 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 -100 (*.f64 (*.f64 i i) (pow.f64 (+.f64 -1/2 (/.f64 1/2 n)) 2))))) | |
| ✓ | 62.1b | (*.f64 -50 i) |
| 31.2b | (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) | |
| 41.0b | (/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (*.f64 (/.f64 i n) (/.f64 1/2 n))) (*.f64 (/.f64 -1/2 (/.f64 n i)) (/.f64 -1/2 (/.f64 n i)))) (-.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (/.f64 -1/2 (/.f64 n i)))))) | |
| 48.7b | (*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) | |
| 19.7b | (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) | |
| 17.1b | (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) (-.f64 -1/2 (/.f64 1/2 n)))))) | |
| 18.8b | (*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) | |
| 13.5b | (*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) | |
| 30.3b | (/.f64 100 (/.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)))) (*.f64 n n))) | |
| 27.0b | (*.f64 n (/.f64 (*.f64 i 100) i)) |
Compiled 592 to 425 computations (28.2% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) |
(*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(*.f64 100 (/.f64 (-.f64 (+.f64 1 i) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n)))) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n)) |
(*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(/.f64 100 (/.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)))) (*.f64 n n))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 n (/.f64 (*.f64 100 (+.f64 i (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) i)) |
(*.f64 100 (/.f64 (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (*.f64 (/.f64 i n) (/.f64 1/2 n))) (*.f64 (/.f64 -1/2 (/.f64 n i)) (/.f64 -1/2 (/.f64 n i)))) (-.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (/.f64 -1/2 (/.f64 n i)))))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) |
(fma.f64 n 100 (*.f64 i (*.f64 50 n))) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) |
(/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
(/.f64 100 (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(*.f64 100 (*.f64 (*.f64 (expm1.f64 i) (/.f64 1 i)) n)) |
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)) |
(*.f64 100 (*.f64 (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)) n)) |
(+.f64 0 (*.f64 n (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100))) |
(fma.f64 100 n (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i)))) |
(*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(/.f64 100 (fma.f64 (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)) (/.f64 1 n) (/.f64 1 n))) |
(*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) |
(/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(/.f64 100 (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) (-.f64 -1/2 (/.f64 1/2 n)))))) |
(*.f64 n (+.f64 (/.f64 100 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 -100 (*.f64 (*.f64 i i) (pow.f64 (+.f64 -1/2 (/.f64 1/2 n)) 2))))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 100) |
(*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) |
(*.f64 100 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) |
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
(*.f64 n (/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100)) i)) |
(/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i) |
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)) |
(/.f64 100 (*.f64 1 (/.f64 i (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) (/.f64 (neg.f64 i) n)) |
(fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 (expm1.f64 i) i) n)) (*.f64 i (*.f64 (exp.f64 i) -50))) |
(*.f64 n (+.f64 (*.f64 100 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))) (pow.f64 n 3)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)))))) |
| Outputs |
|---|
(/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) (/.f64 (neg.f64 i) n)) |
(/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i) |
(*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) |
4 calls:
| 169.0ms | n |
| 101.0ms | i |
| 22.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 20.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| Error | Segments | Branch |
|---|---|---|
| 3.6b | 3 | i |
| 2.8b | 5 | n |
| 0.6b | 3 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 0.6b | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 1156 to 712 computations (38.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8247721432850905e-63 | NaN |
| 0.0ms | 1.430179765387539e-305 | 1.2566233547835183e-248 |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) |
(*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(*.f64 100 (/.f64 (-.f64 (+.f64 1 i) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n)))) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n)) |
(*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(/.f64 100 (/.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)))) (*.f64 n n))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 n (/.f64 (*.f64 100 (+.f64 i (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) i)) |
(*.f64 100 (/.f64 (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (*.f64 (/.f64 i n) (/.f64 1/2 n))) (*.f64 (/.f64 -1/2 (/.f64 n i)) (/.f64 -1/2 (/.f64 n i)))) (-.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (/.f64 -1/2 (/.f64 n i)))))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) |
(fma.f64 n 100 (*.f64 i (*.f64 50 n))) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) |
(/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
(/.f64 100 (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(*.f64 100 (*.f64 (*.f64 (expm1.f64 i) (/.f64 1 i)) n)) |
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)) |
(*.f64 100 (*.f64 (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)) n)) |
(+.f64 0 (*.f64 n (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100))) |
(fma.f64 100 n (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i)))) |
(*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(/.f64 100 (fma.f64 (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)) (/.f64 1 n) (/.f64 1 n))) |
(*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) |
(/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(/.f64 100 (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) (-.f64 -1/2 (/.f64 1/2 n)))))) |
(*.f64 n (+.f64 (/.f64 100 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 -100 (*.f64 (*.f64 i i) (pow.f64 (+.f64 -1/2 (/.f64 1/2 n)) 2))))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 100) |
(*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) |
(*.f64 100 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) |
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
(*.f64 n (/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100)) i)) |
(/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i) |
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)) |
(/.f64 100 (*.f64 1 (/.f64 i (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) |
| Outputs |
|---|
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
(/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i) |
(*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) |
4 calls:
| 162.0ms | n |
| 98.0ms | i |
| 20.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 20.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| Error | Segments | Branch |
|---|---|---|
| 4.0b | 3 | i |
| 3.0b | 5 | n |
| 0.7b | 3 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 0.7b | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 967 to 593 computations (38.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8247721432850905e-63 | NaN |
| 0.0ms | 1.430179765387539e-305 | 1.2566233547835183e-248 |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) |
(*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(*.f64 100 (/.f64 (-.f64 (+.f64 1 i) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n)))) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n)) |
(*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(/.f64 100 (/.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)))) (*.f64 n n))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 n (/.f64 (*.f64 100 (+.f64 i (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) i)) |
(*.f64 100 (/.f64 (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (*.f64 (/.f64 i n) (/.f64 1/2 n))) (*.f64 (/.f64 -1/2 (/.f64 n i)) (/.f64 -1/2 (/.f64 n i)))) (-.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (/.f64 -1/2 (/.f64 n i)))))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) |
(fma.f64 n 100 (*.f64 i (*.f64 50 n))) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) |
(/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
(/.f64 100 (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(*.f64 100 (*.f64 (*.f64 (expm1.f64 i) (/.f64 1 i)) n)) |
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)) |
(*.f64 100 (*.f64 (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)) n)) |
(+.f64 0 (*.f64 n (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100))) |
(fma.f64 100 n (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i)))) |
(*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(/.f64 100 (fma.f64 (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)) (/.f64 1 n) (/.f64 1 n))) |
(*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) |
(/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(/.f64 100 (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) (-.f64 -1/2 (/.f64 1/2 n)))))) |
(*.f64 n (+.f64 (/.f64 100 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 -100 (*.f64 (*.f64 i i) (pow.f64 (+.f64 -1/2 (/.f64 1/2 n)) 2))))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 100) |
(*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) |
(*.f64 100 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) |
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
(*.f64 n (/.f64 (*.f64 n (*.f64 (-.f64 (log.f64 i) (log.f64 n)) 100)) i)) |
| Outputs |
|---|
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
(*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) |
(*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) |
4 calls:
| 154.0ms | n |
| 94.0ms | i |
| 20.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 19.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| Error | Segments | Branch |
|---|---|---|
| 4.0b | 3 | i |
| 3.0b | 5 | n |
| 0.8b | 3 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 0.8b | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 924 to 572 computations (38.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8247721432850905e-63 | NaN |
| 0.0ms | 1.430179765387539e-305 | 1.2566233547835183e-248 |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) |
(*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(*.f64 100 (/.f64 (-.f64 (+.f64 1 i) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n)))) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n)) |
(*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(/.f64 100 (/.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)))) (*.f64 n n))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 n (/.f64 (*.f64 100 (+.f64 i (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) i)) |
(*.f64 100 (/.f64 (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (*.f64 (/.f64 i n) (/.f64 1/2 n))) (*.f64 (/.f64 -1/2 (/.f64 n i)) (/.f64 -1/2 (/.f64 n i)))) (-.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (/.f64 -1/2 (/.f64 n i)))))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) |
(fma.f64 n 100 (*.f64 i (*.f64 50 n))) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) |
(/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
(/.f64 100 (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(*.f64 100 (*.f64 (*.f64 (expm1.f64 i) (/.f64 1 i)) n)) |
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)) |
(*.f64 100 (*.f64 (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)) n)) |
(+.f64 0 (*.f64 n (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100))) |
(fma.f64 100 n (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i)))) |
(*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(/.f64 100 (fma.f64 (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)) (/.f64 1 n) (/.f64 1 n))) |
(*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) |
(/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(/.f64 100 (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) (-.f64 -1/2 (/.f64 1/2 n)))))) |
(*.f64 n (+.f64 (/.f64 100 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 -100 (*.f64 (*.f64 i i) (pow.f64 (+.f64 -1/2 (/.f64 1/2 n)) 2))))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 100) |
(*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) |
(*.f64 100 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) |
| Outputs |
|---|
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) |
(*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) |
(*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) |
4 calls:
| 152.0ms | n |
| 120.0ms | i |
| 18.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 18.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| Error | Segments | Branch |
|---|---|---|
| 4.1b | 4 | i |
| 3.0b | 5 | n |
| 1.2b | 3 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 1.2b | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 898 to 561 computations (37.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8247721432850905e-63 | NaN |
| 0.0ms | 1.430179765387539e-305 | 1.2566233547835183e-248 |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) |
(*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(*.f64 100 (/.f64 (-.f64 (+.f64 1 i) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n)))) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n)) |
(*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(/.f64 100 (/.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)))) (*.f64 n n))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 n (/.f64 (*.f64 100 (+.f64 i (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) i)) |
(*.f64 100 (/.f64 (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (*.f64 (/.f64 i n) (/.f64 1/2 n))) (*.f64 (/.f64 -1/2 (/.f64 n i)) (/.f64 -1/2 (/.f64 n i)))) (-.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (/.f64 -1/2 (/.f64 n i)))))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) |
(fma.f64 n 100 (*.f64 i (*.f64 50 n))) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) |
(/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
(/.f64 100 (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(*.f64 100 (*.f64 (*.f64 (expm1.f64 i) (/.f64 1 i)) n)) |
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)) |
(*.f64 100 (*.f64 (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)) n)) |
(+.f64 0 (*.f64 n (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100))) |
(fma.f64 100 n (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i)))) |
(*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(/.f64 100 (fma.f64 (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)) (/.f64 1 n) (/.f64 1 n))) |
(*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) |
(/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(/.f64 100 (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) (-.f64 -1/2 (/.f64 1/2 n)))))) |
(*.f64 n (+.f64 (/.f64 100 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 -100 (*.f64 (*.f64 i i) (pow.f64 (+.f64 -1/2 (/.f64 1/2 n)) 2))))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
(*.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 100) |
(*.f64 (*.f64 100 (/.f64 n i)) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) |
(*.f64 100 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))) |
| Outputs |
|---|
(*.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 100) |
(*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) |
(*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) |
4 calls:
| 145.0ms | n |
| 119.0ms | i |
| 19.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 18.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| Error | Segments | Branch |
|---|---|---|
| 4.1b | 4 | i |
| 3.0b | 5 | n |
| 1.8b | 3 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 1.8b | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 885 to 557 computations (37.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8247721432850905e-63 | NaN |
| 0.0ms | 1.430179765387539e-305 | 1.2566233547835183e-248 |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) |
(*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(*.f64 100 (/.f64 (-.f64 (+.f64 1 i) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n)))) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n)) |
(*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(/.f64 100 (/.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)))) (*.f64 n n))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 n (/.f64 (*.f64 100 (+.f64 i (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) i)) |
(*.f64 100 (/.f64 (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (*.f64 (/.f64 i n) (/.f64 1/2 n))) (*.f64 (/.f64 -1/2 (/.f64 n i)) (/.f64 -1/2 (/.f64 n i)))) (-.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (/.f64 -1/2 (/.f64 n i)))))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) |
(fma.f64 n 100 (*.f64 i (*.f64 50 n))) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) |
(/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
(/.f64 100 (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(*.f64 100 (*.f64 (*.f64 (expm1.f64 i) (/.f64 1 i)) n)) |
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)) |
(*.f64 100 (*.f64 (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)) n)) |
(+.f64 0 (*.f64 n (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100))) |
(fma.f64 100 n (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i)))) |
(*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(/.f64 100 (fma.f64 (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)) (/.f64 1 n) (/.f64 1 n))) |
(*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) |
(/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(/.f64 100 (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) (-.f64 -1/2 (/.f64 1/2 n)))))) |
(*.f64 n (+.f64 (/.f64 100 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 -100 (*.f64 (*.f64 i i) (pow.f64 (+.f64 -1/2 (/.f64 1/2 n)) 2))))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
| Outputs |
|---|
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
(*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
4 calls:
| 119.0ms | i |
| 113.0ms | n |
| 18.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 18.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| Error | Segments | Branch |
|---|---|---|
| 4.2b | 4 | i |
| 5.0b | 4 | n |
| 8.8b | 3 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 8.8b | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 846 to 549 computations (35.1% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 1.7573522946285023e+140 | 4.899433094748336e+146 |
| 309.0ms | 3.879657163742652e-49 | 5.1006961490941877e-45 |
| 262.0ms | -4.672452000776241e-32 | -1.4127881595842218e-35 |
Compiled 852 to 620 computations (27.2% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) |
(*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(*.f64 100 (/.f64 (-.f64 (+.f64 1 i) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n)))) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n)) |
(*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(/.f64 100 (/.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)))) (*.f64 n n))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 n (/.f64 (*.f64 100 (+.f64 i (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) i)) |
(*.f64 100 (/.f64 (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (*.f64 (/.f64 i n) (/.f64 1/2 n))) (*.f64 (/.f64 -1/2 (/.f64 n i)) (/.f64 -1/2 (/.f64 n i)))) (-.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (/.f64 -1/2 (/.f64 n i)))))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) |
(fma.f64 n 100 (*.f64 i (*.f64 50 n))) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) |
(/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
(/.f64 100 (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(*.f64 100 (*.f64 (*.f64 (expm1.f64 i) (/.f64 1 i)) n)) |
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)) |
(*.f64 100 (*.f64 (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)) n)) |
(+.f64 0 (*.f64 n (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100))) |
(fma.f64 100 n (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i)))) |
(*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(/.f64 100 (fma.f64 (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)) (/.f64 1 n) (/.f64 1 n))) |
(*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) |
(/.f64 100 (fma.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(/.f64 100 (fma.f64 i (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 1 n)) (/.f64 -1/2 n)) (/.f64 1 n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 (-.f64 1/4 (*.f64 1/4 (pow.f64 n -2))) (-.f64 -1/2 (/.f64 1/2 n)))))) |
(*.f64 n (+.f64 (/.f64 100 (*.f64 i (+.f64 -1/2 (/.f64 1/2 n)))) (/.f64 -100 (*.f64 (*.f64 i i) (pow.f64 (+.f64 -1/2 (/.f64 1/2 n)) 2))))) |
| Outputs |
|---|
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
4 calls:
| 91.0ms | n |
| 61.0ms | i |
| 24.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 23.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| Error | Segments | Branch |
|---|---|---|
| 8.4b | 2 | i |
| 7.0b | 3 | n |
| 9.2b | 4 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 9.2b | 4 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 833 to 542 computations (34.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 181.0ms | 4.26291379975469e-5 | 15.018956796848153 |
| 110.0ms | -1.0564054985138103e+40 | -5.561191395076672e+39 |
Compiled 292 to 222 computations (24% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) |
(*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(*.f64 100 (/.f64 (-.f64 (+.f64 1 i) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n)))) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n)) |
(*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(/.f64 100 (/.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)))) (*.f64 n n))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 n (/.f64 (*.f64 100 (+.f64 i (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) i)) |
(*.f64 100 (/.f64 (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (*.f64 (/.f64 i n) (/.f64 1/2 n))) (*.f64 (/.f64 -1/2 (/.f64 n i)) (/.f64 -1/2 (/.f64 n i)))) (-.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (/.f64 -1/2 (/.f64 n i)))))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) |
(fma.f64 n 100 (*.f64 i (*.f64 50 n))) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 i))) |
(/.f64 (*.f64 100 (*.f64 (expm1.f64 i) n)) i) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) |
(/.f64 100 (*.f64 1/2 (/.f64 i (pow.f64 n 2)))) |
(*.f64 100 (*.f64 (*.f64 (expm1.f64 i) (/.f64 1 i)) n)) |
(*.f64 n (/.f64 (-.f64 (*.f64 100 (exp.f64 i)) 100) i)) |
(*.f64 100 (*.f64 (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)) n)) |
(+.f64 0 (*.f64 n (*.f64 (fma.f64 i (+.f64 1/2 (/.f64 -1/2 n)) 1) 100))) |
(fma.f64 100 n (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 100 i)))) |
(*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(/.f64 100 (fma.f64 (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)) (/.f64 1 n) (/.f64 1 n))) |
| Outputs |
|---|
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
4 calls:
| 81.0ms | n |
| 55.0ms | i |
| 20.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 20.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| Error | Segments | Branch |
|---|---|---|
| 8.4b | 2 | i |
| 7.0b | 3 | n |
| 9.2b | 4 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 9.2b | 4 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 735 to 473 computations (35.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 194.0ms | 4.26291379975469e-5 | 15.018956796848153 |
| 114.0ms | -1.0564054985138103e+40 | -5.561191395076672e+39 |
Compiled 283 to 213 computations (24.7% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) |
(*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(*.f64 100 (/.f64 (-.f64 (+.f64 1 i) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n)))) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n)) |
(*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(/.f64 100 (/.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)))) (*.f64 n n))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 n (/.f64 (*.f64 100 (+.f64 i (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) i)) |
(*.f64 100 (/.f64 (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (*.f64 (/.f64 i n) (/.f64 1/2 n))) (*.f64 (/.f64 -1/2 (/.f64 n i)) (/.f64 -1/2 (/.f64 n i)))) (-.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (/.f64 -1/2 (/.f64 n i)))))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) |
(fma.f64 n 100 (*.f64 i (*.f64 50 n))) |
| Outputs |
|---|
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
(*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) |
2 calls:
| 67.0ms | n |
| 37.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 8.7b | 2 | i |
| 7.4b | 3 | n |
Compiled 548 to 358 computations (34.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 270.0ms | 1.2053260742918693e+84 | 1.0570625321354972e+86 |
| 107.0ms | -1.0564054985138103e+40 | -5.561191395076672e+39 |
Compiled 225 to 169 computations (24.9% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) |
(*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(*.f64 100 (/.f64 (-.f64 (+.f64 1 i) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n)))) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n)) |
(*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i (+.f64 50/3 (*.f64 i 25/6))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 n (+.f64 100 (*.f64 100 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(/.f64 100 (/.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)))) (*.f64 n n))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 n (/.f64 (*.f64 100 (+.f64 i (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) i)) |
(*.f64 100 (/.f64 (-.f64 (+.f64 (+.f64 1 i) (*.f64 i (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n)))))) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (*.f64 (/.f64 i n) (/.f64 1/2 n))) (*.f64 (/.f64 -1/2 (/.f64 n i)) (/.f64 -1/2 (/.f64 n i)))) (-.f64 (*.f64 (/.f64 i n) (/.f64 1/2 n)) (/.f64 -1/2 (/.f64 n i)))))) |
| Outputs |
|---|
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
2 calls:
| 20.0ms | n |
| 20.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 13.6b | 1 | i |
| 13.6b | 1 | n |
Compiled 532 to 348 computations (34.6% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) |
(*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(*.f64 100 (/.f64 (-.f64 (+.f64 1 i) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n)))) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n)) |
(*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (*.f64 i 1/12) -1/2)))) |
| Outputs |
|---|
(/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n)))) |
2 calls:
| 28.0ms | n |
| 27.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 14.0b | 2 | i |
| 14.1b | 2 | n |
Compiled 298 to 195 computations (34.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 227.0ms | -3.790268185084413e-58 | -3.894745532908331e-60 |
Compiled 260 to 197 computations (24.2% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) |
(*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(*.f64 100 (/.f64 (-.f64 (+.f64 1 i) 1) (/.f64 i n))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n)))) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 i (-.f64 (*.f64 1/12 i) 1/2))) n)) |
(*.f64 100 (/.f64 n (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 n)) 1/2)))) |
| Outputs |
|---|
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n)))) |
2 calls:
| 27.0ms | n |
| 14.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 15.1b | 1 | i |
| 14.1b | 2 | n |
Compiled 268 to 174 computations (35.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 386.0ms | -7.616576206499398e-5 | -5.407065504893183e-26 |
Compiled 330 to 257 computations (22.1% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) |
(*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(/.f64 100 (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(*.f64 100 (/.f64 (-.f64 (+.f64 1 i) 1) (/.f64 i n))) |
| Outputs |
|---|
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
(*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
2 calls:
| 36.0ms | n |
| 34.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 16.1b | 3 | i |
| 17.7b | 3 | n |
Compiled 229 to 146 computations (36.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 213.0ms | 0.03142377516399454 | 673.7337743917759 |
| 142.0ms | -260.8673566471138 | -0.0003506545570626022 |
Compiled 498 to 372 computations (25.3% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) |
(*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
| Outputs |
|---|
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) |
2 calls:
| 31.0ms | n |
| 30.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 16.2b | 3 | i |
| 17.7b | 3 | n |
Compiled 185 to 116 computations (37.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 99.0ms | 0.03142377516399454 | 673.7337743917759 |
| 157.0ms | -505550703259.71936 | -965133319.6702183 |
Compiled 438 to 335 computations (23.5% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(*.f64 n (+.f64 100 (*.f64 -50 (/.f64 i n)))) |
(*.f64 100 (*.f64 (*.f64 i i) (/.f64 1/3 n))) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
| Outputs |
|---|
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) |
2 calls:
| 30.0ms | n |
| 21.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 17.7b | 2 | i |
| 17.7b | 3 | n |
Compiled 174 to 110 computations (36.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 1.436673426332669e-233 | 5.060706034310541e-230 |
| 50.0ms | -2.3628880032779057e-235 | -4.838712936147557e-238 |
Compiled 374 to 287 computations (23.3% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(/.f64 100 (/.f64 (*.f64 (/.f64 1/2 n) i) n)) |
| Outputs |
|---|
(*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
2 calls:
| 24.0ms | n |
| 17.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 17.9b | 2 | i |
| 18.0b | 3 | n |
Compiled 129 to 81 computations (37.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 108.0ms | 0.03142377516399454 | 673.7337743917759 |
Compiled 198 to 151 computations (23.7% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 n (/.f64 (*.f64 i 100) i)) |
(*.f64 (/.f64 n i) (+.f64 -200 (/.f64 -400 i))) |
| Outputs |
|---|
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
2 calls:
| 22.0ms | n |
| 21.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 17.6b | 3 | i |
| 21.1b | 3 | n |
Compiled 102 to 61 computations (40.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 213.0ms | 0.03142377516399454 | 673.7337743917759 |
| 158.0ms | -260.8673566471138 | -0.0003506545570626022 |
Compiled 362 to 279 computations (22.9% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
(*.f64 200 (/.f64 (*.f64 n n) i)) |
| Outputs |
|---|
(*.f64 200 (*.f64 (/.f64 n i) n)) |
(*.f64 n 100) |
(*.f64 200 (*.f64 (/.f64 n i) n)) |
2 calls:
| 18.0ms | i |
| 17.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 17.9b | 3 | i |
| 22.0b | 3 | n |
Compiled 72 to 44 computations (38.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 99.0ms | 0.03142377516399454 | 673.7337743917759 |
| 157.0ms | -505550703259.71936 | -965133319.6702183 |
Compiled 278 to 207 computations (25.5% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
| Outputs |
|---|
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
(*.f64 n 100) |
(/.f64 100 (*.f64 -1/2 (/.f64 i n))) |
2 calls:
| 15.0ms | i |
| 15.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 19.6b | 3 | i |
| 25.3b | 3 | n |
Compiled 51 to 35 computations (31.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 1.2510548803661521e+58 | 1.1492705991591503e+64 |
| 158.0ms | -260.8673566471138 | -0.0003506545570626022 |
Compiled 310 to 249 computations (19.7% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
(*.f64 -200 (/.f64 n i)) |
(*.f64 n (*.f64 50 i)) |
(*.f64 50 (*.f64 n i)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 100 (/.f64 1 n)) |
| Outputs |
|---|
(*.f64 -200 (/.f64 n i)) |
(*.f64 n 100) |
(*.f64 -200 (/.f64 n i)) |
2 calls:
| 14.0ms | i |
| 14.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 20.0b | 3 | i |
| 25.4b | 3 | n |
Compiled 44 to 30 computations (31.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 1.2510548803661521e+58 | 1.1492705991591503e+64 |
| 157.0ms | -260.8673566471138 | -0.0003506545570626022 |
Compiled 274 to 213 computations (22.3% saved)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
| Outputs |
|---|
(*.f64 n (/.f64 -200 i)) |
(*.f64 n 100) |
(*.f64 n (/.f64 -200 i)) |
2 calls:
| 9.0ms | n |
| 9.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 20.0b | 3 | i |
| 25.4b | 3 | n |
Compiled 19 to 13 computations (31.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 1.2510548803661521e+58 | 1.1492705991591503e+64 |
| 157.0ms | -260.8673566471138 | -0.0003506545570626022 |
Compiled 274 to 213 computations (22.3% saved)
Total -35.2b remaining (-130.9%)
Threshold costs -35.2b (-130.9%)
| Inputs |
|---|
(*.f64 -50 i) |
(*.f64 n 100) |
| Outputs |
|---|
(*.f64 n 100) |
2 calls:
| 3.0ms | n |
| 3.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 26.9b | 1 | i |
| 26.9b | 1 | n |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 39× | *-commutative_binary64 |
| 17× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 5× | neg-sub0_binary64 |
| 5× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 171 | 1320 |
| 1 | 227 | 1318 |
| 2 | 243 | 1318 |
| 3 | 253 | 1318 |
| 4 | 257 | 1318 |
| 5 | 258 | 1318 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) (/.f64 (neg.f64 i) n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i) (*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i) (*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) (*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) (*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (*.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 100) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) (*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100))) |
(if (<=.f64 i -67229075317221536/1461501637330902918203684832716283019655932542976) (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 i 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) (if (<=.f64 i 175999999999999995203219497456089406671069283154955021155692235593039964659805962825251571769498491429347745806596191100382741951247489695744) (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i)))))) |
(if (<=.f64 n -10564054985138103350946722621564494282752) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) (if (<=.f64 n 3172839980678043/73786976294838206464) (*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))))) |
(if (<=.f64 n -10564054985138103350946722621564494282752) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) (if (<=.f64 n 3172839980678043/73786976294838206464) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))))) |
(if (<=.f64 n -10564054985138103350946722621564494282752) (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) (if (<=.f64 n 104999999999999994634476652430297880817098651448763328773145160482442063083846338871296) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
(if (<=.f64 i -2614933655872009/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))))) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n))))) |
(if (<=.f64 n -5534023222112865/73786976294838206464) (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n))))) |
(if (<=.f64 i -260) (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) (if (<=.f64 i 590295810358705664/18446744073709551616) (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))))) |
(if (<=.f64 i -1048576000000000000/2097152) (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) (if (<=.f64 i 650) (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))))) |
(if (<=.f64 n -6730142420841616/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) (if (<=.f64 n 415264106817886912/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (*.f64 200 (/.f64 (*.f64 n n) i)) (/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)))) |
(if (<=.f64 i 400) (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 200 (*.f64 (/.f64 n i) n))) |
(if (<=.f64 i -6548594146166891/18446744073709551616) (/.f64 100 (*.f64 -1/2 (/.f64 i n))) (if (<=.f64 i 590295810358705664/18446744073709551616) (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 200 (*.f64 (/.f64 n i) n)))) |
(if (<=.f64 i -1048576000000000000/2097152) (*.f64 200 (*.f64 (/.f64 n i) n)) (if (<=.f64 i 560) (*.f64 n 100) (*.f64 200 (*.f64 (/.f64 n i) n)))) |
(if (<=.f64 i -6548594146166891/18446744073709551616) (/.f64 100 (*.f64 -1/2 (/.f64 i n))) (if (<=.f64 i 11400000000000000330742874947634299436455429695431781572583358464) (*.f64 n 100) (/.f64 100 (*.f64 -1/2 (/.f64 i n))))) |
(if (<=.f64 i -6548594146166891/18446744073709551616) (*.f64 -200 (/.f64 n i)) (if (<=.f64 i 11400000000000000330742874947634299436455429695431781572583358464) (*.f64 n 100) (*.f64 -200 (/.f64 n i)))) |
(if (<=.f64 i -6548594146166891/18446744073709551616) (*.f64 n (/.f64 -200 i)) (if (<=.f64 i 11400000000000000330742874947634299436455429695431781572583358464) (*.f64 n 100) (*.f64 n (/.f64 -200 i)))) |
(*.f64 n 100) |
(*.f64 -50 i) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) (/.f64 (neg.f64 i) n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i) (*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100))) |
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (/.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) (neg.f64 (/.f64 i n))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i) (*.f64 100 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n)))))) |
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) -100) (neg.f64 (/.f64 i n))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i) (*.f64 100 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i) (*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100))) |
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (/.f64 (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100)) i) (*.f64 100 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) (*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100))) |
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (/.f64 100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 n (/.f64 (+.f64 -100 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100)) i)) (*.f64 100 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) (*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100))) |
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (*.f64 100 (*.f64 n (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 n (/.f64 (+.f64 -100 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100)) i)) (*.f64 100 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n)))))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (*.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 100) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 n (/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100) i)) (*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100))) |
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 7906338019816821/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232) (*.f64 100 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 578960446186581/115792089237316195423570985008687907853269984665640564039457584007913129639936) (*.f64 n (/.f64 (+.f64 -100 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100)) i)) (*.f64 100 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n)))))) |
(if (<=.f64 i -67229075317221536/1461501637330902918203684832716283019655932542976) (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 i 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) (if (<=.f64 i 175999999999999995203219497456089406671069283154955021155692235593039964659805962825251571769498491429347745806596191100382741951247489695744) (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i)))))) |
(if (<=.f64 i -2100908603663173/45671926166590716193865151022383844364247891968) (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (if (<=.f64 i 8034690221294951/1606938044258990275541962092341162602522202993782792835301376) (*.f64 100 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n)))) (if (<=.f64 i 175999999999999995203219497456089406671069283154955021155692235593039964659805962825251571769498491429347745806596191100382741951247489695744) (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i)))))) |
(if (<=.f64 n -10564054985138103350946722621564494282752) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) (if (<=.f64 n 3172839980678043/73786976294838206464) (*.f64 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n))) 100) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))))) |
(if (<=.f64 n -10564054985138103350946722621564494282752) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) (if (<=.f64 n 3172839980678043/73786976294838206464) (*.f64 100 (/.f64 1 (fma.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2) (/.f64 1 n)))) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))))) |
(if (<=.f64 n -10564054985138103350946722621564494282752) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) (if (<=.f64 n 3172839980678043/73786976294838206464) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))))) |
(if (<=.f64 n -10564054985138103350946722621564494282752) (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))) (if (<=.f64 n 104999999999999994634476652430297880817098651448763328773145160482442063083846338871296) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) (*.f64 (/.f64 100 i) (*.f64 n (expm1.f64 i))))) |
(/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (+.f64 (/.f64 1/2 n) -1/2)))) |
(if (<=.f64 i -2614933655872009/7067388259113537318333190002971674063309935587502475832486424805170479104) (/.f64 100 (+.f64 (/.f64 1 n) (/.f64 i (/.f64 n (+.f64 (/.f64 1/2 n) -1/2))))) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n))))) |
(if (<=.f64 n -5534023222112865/73786976294838206464) (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n))))) |
(if (<=.f64 n -5534023222112865/73786976294838206464) (*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) (/.f64 100 (+.f64 (/.f64 1 n) (*.f64 (/.f64 i n) (/.f64 1/2 n))))) |
(if (<=.f64 i -260) (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) (if (<=.f64 i 590295810358705664/18446744073709551616) (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))))) |
(if (<=.f64 i -260) (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) (if (<=.f64 i 1152921504606847/36028797018963968) (*.f64 n (+.f64 100 (*.f64 i (+.f64 50 (*.f64 i 50/3))))) (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))))) |
(if (<=.f64 i -1048576000000000000/2097152) (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) (if (<=.f64 i 650) (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))))) |
(if (<=.f64 i -500000000000) (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))) (if (<=.f64 i 650) (*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) (/.f64 100 (*.f64 (/.f64 1/2 n) (-.f64 (/.f64 i n) i))))) |
(if (<=.f64 n -6730142420841616/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)) (if (<=.f64 n 415264106817886912/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (*.f64 200 (/.f64 (*.f64 n n) i)) (/.f64 100 (/.f64 (+.f64 1 (*.f64 -1/2 i)) n)))) |
(if (<=.f64 n -420633901302601/1789931494904685075276173995854677405670108698260665783090090606394441500334556509959080266614039273464334969326187482504649803797317086043777814127597786226282054644248700756391675078842436173515315000514484077967245659600421098975959924194154643456) (/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n)) (if (<=.f64 n 6488501669029483/447482873726171268819043498963669351417527174565166445772522651598610375083639127489770066653509818366083742331546870626162450949329271510944453531899446556570513661062175189097918769710609043378828750128621019491811414900105274743989981048538660864) (*.f64 200 (/.f64 (*.f64 n n) i)) (/.f64 100 (/.f64 (+.f64 1 (*.f64 i -1/2)) n)))) |
(if (<=.f64 i 400) (*.f64 100 (/.f64 n (+.f64 1 (*.f64 -1/2 i)))) (*.f64 200 (*.f64 (/.f64 n i) n))) |
(if (<=.f64 i 400) (*.f64 100 (/.f64 n (+.f64 1 (*.f64 i -1/2)))) (*.f64 200 (*.f64 n (/.f64 n i)))) |
(if (<=.f64 i -6548594146166891/18446744073709551616) (/.f64 100 (*.f64 -1/2 (/.f64 i n))) (if (<=.f64 i 590295810358705664/18446744073709551616) (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 200 (*.f64 (/.f64 n i) n)))) |
(if (<=.f64 i -6548594146166891/18446744073709551616) (/.f64 100 (*.f64 (/.f64 i n) -1/2)) (if (<=.f64 i 1152921504606847/36028797018963968) (*.f64 n (+.f64 100 (*.f64 i 50))) (*.f64 200 (*.f64 n (/.f64 n i))))) |
(if (<=.f64 i -1048576000000000000/2097152) (*.f64 200 (*.f64 (/.f64 n i) n)) (if (<=.f64 i 560) (*.f64 n 100) (*.f64 200 (*.f64 (/.f64 n i) n)))) |
(if (<=.f64 i -500000000000) (*.f64 200 (*.f64 n (/.f64 n i))) (if (<=.f64 i 560) (*.f64 n 100) (*.f64 200 (*.f64 n (/.f64 n i))))) |
(if (<=.f64 i -6548594146166891/18446744073709551616) (/.f64 100 (*.f64 -1/2 (/.f64 i n))) (if (<=.f64 i 11400000000000000330742874947634299436455429695431781572583358464) (*.f64 n 100) (/.f64 100 (*.f64 -1/2 (/.f64 i n))))) |
(if (<=.f64 i -6548594146166891/18446744073709551616) (/.f64 100 (*.f64 (/.f64 i n) -1/2)) (if (<=.f64 i 11400000000000000330742874947634299436455429695431781572583358464) (*.f64 n 100) (/.f64 100 (*.f64 (/.f64 i n) -1/2)))) |
(if (<=.f64 i -6548594146166891/18446744073709551616) (*.f64 -200 (/.f64 n i)) (if (<=.f64 i 11400000000000000330742874947634299436455429695431781572583358464) (*.f64 n 100) (*.f64 -200 (/.f64 n i)))) |
(if (<=.f64 i -6548594146166891/18446744073709551616) (*.f64 (/.f64 n i) -200) (if (<=.f64 i 11400000000000000330742874947634299436455429695431781572583358464) (*.f64 n 100) (*.f64 (/.f64 n i) -200))) |
(if (<=.f64 i -6548594146166891/18446744073709551616) (*.f64 n (/.f64 -200 i)) (if (<=.f64 i 11400000000000000330742874947634299436455429695431781572583358464) (*.f64 n 100) (*.f64 n (/.f64 -200 i)))) |
(*.f64 n 100) |
(*.f64 -50 i) |
(*.f64 i -50) |
| 1× | fuel |
Compiled 1838 to 1127 computations (38.7% saved)
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