Time bar (total: 1.2min)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.9% | 12.5% | 84.3% | 0.1% | 0% | 3.1% | 0% | 7 |
| 20.3% | 19.5% | 76.5% | 0.1% | 0% | 3.9% | 0% | 8 |
| 32.9% | 29.3% | 59.7% | 0.1% | 0.4% | 10.1% | 0.4% | 9 |
| 38.1% | 33.4% | 54.2% | 0.1% | 0.8% | 10.7% | 0.8% | 10 |
| 46.7% | 38.6% | 44.1% | 0.1% | 1.5% | 14.2% | 1.5% | 11 |
| 50.1% | 40.8% | 40.7% | 0.1% | 2% | 14.6% | 1.8% | 12 |
Compiled 18 to 12 computations (33.3% saved)
| 9.3s | 1860× | body | 2048 | valid |
| 5.5s | 2727× | body | 1024 | valid |
| 1.9s | 1219× | body | 512 | valid |
| 1.6s | 2405× | body | 256 | valid |
| 625.0ms | 197× | body | 1024 | infinite |
| 484.0ms | 604× | body | 256 | infinite |
| 446.0ms | 230× | body | 512 | infinite |
| 388.0ms | 45× | body | 4096 | valid |
| 143.0ms | 582× | body | 256 | invalid |
| 42.0ms | 21× | body | 2048 | infinite |
| 2× | egg-herbie |
| 1660× | rational_best-simplify-108 |
| 1024× | rational_best-simplify-65 |
| 874× | rational_best-simplify-3 |
| 852× | rational_best-simplify-38 |
| 716× | rational_best-simplify-64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 86 |
| 1 | 45 | 86 |
| 2 | 99 | 86 |
| 3 | 209 | 86 |
| 4 | 495 | 86 |
| 5 | 1415 | 86 |
| 6 | 4323 | 86 |
| 7 | 7417 | 86 |
| 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 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) 1) (/.f64 n i))) |
(*.f64 100 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) -1) (/.f64 n i))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) -1) (/.f64 100 (/.f64 n i))) |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
| 1604× | rational_best-simplify-51 |
| 1020× | rational_best-simplify-3 |
| 988× | rational_best-simplify-56 |
| 922× | rational_best-simplify-67 |
| 894× | rational_best-simplify-83 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 1 | 27 | 43 |
| 2 | 57 | 43 |
| 3 | 118 | 43 |
| 4 | 273 | 43 |
| 5 | 753 | 43 |
| 6 | 2232 | 43 |
| 7 | 6379 | 43 |
| 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 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
(*.f64 100 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n))) |
Compiled 47 to 27 computations (42.6% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 2 | 3 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 3 | 4 |
| Status | Error | Program |
|---|---|---|
| ▶ | 47.3b | (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
| ▶ | 47.3b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
Compiled 34 to 22 computations (35.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| ✓ | 1.0b | (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) |
| ✓ | 5.5b | (pow.f64 (+.f64 1 (/.f64 i n)) n) |
| ✓ | 11.4b | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 58 to 29 computations (50% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 229.0ms | i | @ | inf | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 17.0ms | n | @ | 0 | (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) |
| 15.0ms | i | @ | 0 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 4.0ms | n | @ | 0 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 3.0ms | i | @ | -inf | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 1× | batch-egg-rewrite |
| 1984× | rational_best-4 |
| 1984× | rational_best-2 |
| 1984× | rational_best-3 |
| 1984× | rational_best-1 |
| 1984× | exponential-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 124 |
| 1 | 88 | 124 |
| 2 | 225 | 124 |
| 3 | 752 | 124 |
| 4 | 4441 | 124 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
(pow.f64 (+.f64 1 (/.f64 i n)) 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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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))) 4) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))) 4) (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n)))) (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 1))))) |
| 1× | egg-herbie |
| 920× | rational_best-simplify-108 |
| 804× | rational_best-simplify-52 |
| 740× | rational_best-simplify-48 |
| 722× | rational_best-simplify-3 |
| 688× | rational_best-simplify-65 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 688 | 19300 |
| 1 | 1949 | 18498 |
| 2 | 6145 | 17946 |
| 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))))))))) |
(/.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 (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 (*.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 (*.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 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 (*.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)) |
(+.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 (*.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 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 -1 (/.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 (/.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 (*.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 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 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) |
(+.f64 (*.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 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) |
(+.f64 (*.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 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3))))))) |
(+.f64 (*.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 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (+.f64 (*.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 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))))) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i)))) |
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i)))) |
(+.f64 (/.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)) (*.f64 (pow.f64 n 2) i)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))) |
(/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) |
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i)))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))) (exp.f64 i)) (*.f64 n i)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))) |
(+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (+.f64 (*.f64 -1 (/.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 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i)) (*.f64 -1/2 (*.f64 i (exp.f64 i)))))) |
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)))))))) |
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1 |
(+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))) |
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(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)))) |
i |
(+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
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(-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1) |
(-.f64 (+.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)))))) 1) |
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(-.f64 (+.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))))) 1) |
(-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1) |
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(*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) |
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(-.f64 (exp.f64 i) 1) |
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(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i))) 1) |
(-.f64 (+.f64 (/.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)) (pow.f64 n 3)) (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)))) 1) |
(-.f64 (exp.f64 i) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (exp.f64 i) (*.f64 -1 (/.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))))) (pow.f64 n 3)))))) 1) |
(*.f64 100 n) |
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(+.f64 (*.f64 100 (*.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 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))) |
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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)) |
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(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) |
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(-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (+.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2))) (*.f64 i (/.f64 2 n))) (+.f64 2 (/.f64 0 (/.f64 i n)))) (/.f64 (/.f64 (+.f64 3 (neg.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 i (/.f64 2 n))) (+.f64 2 (/.f64 0 (/.f64 i n))))) |
(-.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (+.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2))) (*.f64 (/.f64 i n) 4)) (/.f64 (+.f64 3 (neg.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 i n) 4))) |
(*.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n))) |
(*.f64 (/.f64 i n) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (*.f64 (/.f64 i n) (/.f64 i n)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 1 (/.f64 i n))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 1) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) (/.f64 1 (-.f64 (/.f64 i i) (/.f64 0 n)))) |
(*.f64 (/.f64 1 (/.f64 i n)) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) |
(*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -2) (/.f64 1/2 (/.f64 i n))) |
(*.f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (*.f64 i (/.f64 2 n)))) |
(*.f64 2 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 2))) |
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2) 1/2) |
(*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2) (/.f64 1 (+.f64 2 (/.f64 0 (/.f64 i n))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) (/.f64 1 (*.f64 (/.f64 i n) 4))) |
(*.f64 1/2 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2)) |
(*.f64 (/.f64 1/2 (/.f64 i n)) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -2)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4)) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) (/.f64 i n)) 1/4) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) (/.f64 i n)) (/.f64 1 (-.f64 (/.f64 (*.f64 i 4) i) (/.f64 0 n)))) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4)) (/.f64 1 (*.f64 2 (*.f64 (/.f64 i n) 4)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 1 (/.f64 1 (/.f64 i n)))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) (/.f64 i (+.f64 n n))) (/.f64 1 (/.f64 2 (/.f64 i n)))) |
(*.f64 (/.f64 2 (/.f64 i n)) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 2)) |
(*.f64 (/.f64 2 (/.f64 i n)) (*.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 2))) |
(*.f64 4 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (*.f64 (/.f64 i n) 4))) |
(*.f64 (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 i n) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -2)) (/.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 i n) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n))) (/.f64 1 (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 i n) (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2)) (/.f64 1/2 (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 i n) (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4)) (/.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) (/.f64 i n))) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 1) |
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 0) |
(+.f64 0 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2)) |
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 0) |
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) (/.f64 (neg.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2)) |
(*.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) |
(*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 1/2) |
(*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2)) |
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) 1/4) |
(*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (/.f64 n 2)) (pow.f64 (+.f64 1 (/.f64 i n)) (/.f64 n 2))) |
(*.f64 (pow.f64 (-.f64 (*.f64 i (/.f64 2 n)) -2) n) (pow.f64 1/2 n)) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) |
(/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) |
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) 4) |
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2)) 8) |
(+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) |
(+.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 0) |
(+.f64 0 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 2) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 2)) |
(+.f64 -1/2 (+.f64 -1/2 (pow.f64 (+.f64 1 (/.f64 i n)) n))) |
(+.f64 (+.f64 -1/2 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -1/2) |
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -1)) |
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -2) 2)) |
(+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 3) 4)) |
(+.f64 (/.f64 (+.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2)) 4) (/.f64 (+.f64 -1 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -2)) 4)) |
(*.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1) |
(*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -2) 1/2) |
(*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) 1/4) |
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -2)) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1) |
(/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -2) 2) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4)) 8) |
(pow.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1) |
(+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 0) |
(+.f64 0 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n)))) |
(+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))) 4) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))) 4)) |
(-.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 0) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))) 4) (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n)))) 2)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 1) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))) 2) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n)))) 4) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n)))) (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))))) 8) |
(pow.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 1) |
| Outputs |
|---|
n |
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 n (*.f64 i (*.f64 n (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 n (*.f64 i (*.f64 n (-.f64 1/2 (/.f64 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 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (*.f64 n (+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (*.f64 n (+.f64 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (*.f64 (pow.f64 i 2) (-.f64 (/.f64 1/3 (pow.f64 n 2)) (+.f64 (/.f64 1/2 n) -1/6)))))) |
(+.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 (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (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 1 (/.f64 11/24 (pow.f64 n 2)))) (+.f64 (*.f64 1 (/.f64 1/4 (pow.f64 n 3))) (*.f64 (/.f64 1 n) 1/4)))))))) |
(+.f64 (*.f64 n (+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))))) (+.f64 (*.f64 (-.f64 (*.f64 1 (/.f64 11/24 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (+.f64 (/.f64 1 (pow.f64 n 3)) (/.f64 1 n))) -1/24)) (*.f64 n (pow.f64 i 3))) n)) |
(+.f64 (*.f64 n (+.f64 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (*.f64 (pow.f64 i 3) (-.f64 (/.f64 11/24 (pow.f64 n 2)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)) -1/24))))) (+.f64 n (*.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (+.f64 (/.f64 1/2 n) -1/6)) (*.f64 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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) -1)) i) |
(/.f64 (*.f64 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) i) |
(+.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 (*.f64 n (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) -1)) i) (/.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 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) i) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) |
(+.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 (*.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 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))) |
(+.f64 (/.f64 (*.f64 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) i) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (*.f64 n (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)))) |
(+.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 (*.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 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 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)))) n)) (pow.f64 i 4))))) |
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(/.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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(+.f64 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i 6) 1/48) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 i (pow.f64 n 2)))) (+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i 4) 1/8) (*.f64 1/3 (pow.f64 i 3)))) (*.f64 n i))))) |
(+.f64 (neg.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i 6) 1/48) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 i (pow.f64 n 2)))) (+.f64 (*.f64 i (*.f64 (exp.f64 i) -1/2)) (/.f64 (+.f64 (*.f64 n (+.f64 -1 (exp.f64 i))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i 4) 1/8) (*.f64 1/3 (pow.f64 i 3)))) n)) i))) |
1 |
(+.f64 1 i) |
(+.f64 i 1) |
(+.f64 1 (+.f64 i (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 1 (+.f64 i (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (pow.f64 i 2)))) |
(+.f64 (+.f64 i 1) (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (pow.f64 i 2))) |
(+.f64 (+.f64 i 1) (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (pow.f64 i 2))) |
(+.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 1 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))) (pow.f64 i 3)) (+.f64 i (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (pow.f64 i 2))))) |
(+.f64 i (+.f64 (+.f64 (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (pow.f64 i 2)) (*.f64 (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))) (pow.f64 i 3))) 1)) |
(+.f64 i (+.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (pow.f64 i 2)) (*.f64 (-.f64 (/.f64 1/3 (pow.f64 n 2)) (+.f64 (/.f64 1/2 n) -1/6)) (pow.f64 i 3))) 1)) |
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) |
(exp.f64 (*.f64 n (+.f64 (neg.f64 (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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (/.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 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) |
(+.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 (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 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2)))) |
(+.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2)) (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) |
(+.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 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (+.f64 (+.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 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (/.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 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2)) (+.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (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))))) |
(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) |
(exp.f64 (*.f64 n (+.f64 (neg.f64 (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 (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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (/.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 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))) (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) i)) |
(+.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 (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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.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 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) i) (+.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) (pow.f64 i 2)))) |
(+.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))))))))) |
(+.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.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 (/.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 (pow.f64 n 4) -1/3) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 (pow.f64 n 6) -1/6)))) (/.f64 -1 (pow.f64 i 3))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) i) (+.f64 (+.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))) (/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) (pow.f64 i 2))) (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (+.f64 (*.f64 (pow.f64 n 6) -1/6) (*.f64 (pow.f64 n 4) -1/3)))) (pow.f64 i 3))))) |
1 |
(+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))) |
(+.f64 1 (*.f64 n (+.f64 (neg.f64 (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 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))) (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2))))) |
(+.f64 1 (+.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/2 (pow.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) 2)))))) |
(+.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)))))) |
(+.f64 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)))) (+.f64 1 (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (*.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 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/2 (pow.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) 2)))) (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (neg.f64 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) (+.f64 1 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)))))) |
(+.f64 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/2 (pow.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) 2)))) (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (neg.f64 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (/.f64 1/2 (pow.f64 i 2)))) (+.f64 1 (*.f64 n (+.f64 (neg.f64 (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 (exp.f64 i) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n))) |
(+.f64 (exp.f64 i) (*.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) (/.f64 -1/2 n))) |
(+.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 (exp.f64 i) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i 4) 1/8) (*.f64 1/3 (pow.f64 i 3)))) (pow.f64 n 2))) |
(+.f64 (+.f64 (exp.f64 i) (*.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) (/.f64 -1/2 n))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i 4) 1/8) (*.f64 1/3 (pow.f64 i 3)))) (pow.f64 n 2))) |
(+.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 (exp.f64 i) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 (pow.f64 i 4) -1/4)))) (pow.f64 n 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i 4) 1/8) (*.f64 1/3 (pow.f64 i 3)))) (pow.f64 n 2)))) |
(+.f64 (+.f64 (exp.f64 i) (*.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) (/.f64 -1/2 n))) (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 (pow.f64 i 4) -1/4)))) (pow.f64 n 3)) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (pow.f64 i 4) 1/8) (*.f64 1/3 (pow.f64 i 3)))) (pow.f64 n 2)))) |
(exp.f64 i) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)) |
(+.f64 (exp.f64 i) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n))) |
(+.f64 (exp.f64 i) (*.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) (/.f64 -1/2 n))) |
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 1) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 0) |
(pow.f64 (+.f64 1 (/.f64 i n)) n) |
(+.f64 0 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(pow.f64 (+.f64 1 (/.f64 i n)) n) |
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2)) |
(pow.f64 (+.f64 1 (/.f64 i n)) n) |
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 0) |
(pow.f64 (+.f64 1 (/.f64 i n)) n) |
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) (/.f64 (neg.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2)) |
(pow.f64 (+.f64 1 (/.f64 i n)) n) |
(*.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(pow.f64 (+.f64 1 (/.f64 i n)) n) |
(*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) |
(pow.f64 (+.f64 1 (/.f64 i n)) n) |
(*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 1/2) |
(pow.f64 (+.f64 1 (/.f64 i n)) n) |
(*.f64 1/2 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2)) |
(pow.f64 (+.f64 1 (/.f64 i n)) n) |
(*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) 1/4) |
(pow.f64 (+.f64 1 (/.f64 i n)) n) |
(*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (/.f64 n 2)) (pow.f64 (+.f64 1 (/.f64 i n)) (/.f64 n 2))) |
(pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) |
(*.f64 (pow.f64 (-.f64 (*.f64 i (/.f64 2 n)) -2) n) (pow.f64 1/2 n)) |
(pow.f64 (*.f64 (-.f64 (*.f64 i (/.f64 2 n)) -2) 1/2) n) |
(pow.f64 (*.f64 1/2 (-.f64 (*.f64 i (/.f64 2 n)) -2)) n) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) |
(pow.f64 (+.f64 1 (/.f64 i n)) n) |
(/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) |
(pow.f64 (+.f64 1 (/.f64 i n)) n) |
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) 4) |
(pow.f64 (+.f64 1 (/.f64 i n)) n) |
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) (*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2)) 8) |
(pow.f64 (+.f64 1 (/.f64 i n)) n) |
(+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(+.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 0) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(+.f64 0 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 2) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 2)) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(+.f64 -1/2 (+.f64 -1/2 (pow.f64 (+.f64 1 (/.f64 i n)) n))) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(+.f64 (+.f64 -1/2 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -1/2) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -1)) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -2) 2)) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(+.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 3) 4)) |
(/.f64 (+.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 3 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))) 4) |
(/.f64 (*.f64 4 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) 4) |
(+.f64 (/.f64 (+.f64 -1 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2)) 4) (/.f64 (+.f64 -1 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -2)) 4)) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(*.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(*.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -2) 1/2) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) 1/4) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(*.f64 1/2 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -2)) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(/.f64 (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -2) 2) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) 4) |
(/.f64 (+.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 3 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))) 4) |
(/.f64 (*.f64 4 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) 4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4)) 8) |
(/.f64 (+.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 3 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)))) 4) |
(/.f64 (*.f64 4 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) 4) |
(pow.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 0) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(+.f64 0 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n)))) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))) 4) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))) 4)) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(-.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 0) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))) 4) (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n)))) 2)) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 1) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))) 2) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n)))) 4) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n)))) (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))))) 8) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(pow.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 1) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 100 (/.f64 i n)) |
| ✓ | 1.0b | (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) |
| 5.5b | (pow.f64 (+.f64 1 (/.f64 i n)) n) | |
| ✓ | 13.3b | (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
Compiled 51 to 26 computations (49% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | n | @ | inf | (/.f64 100 (/.f64 i n)) |
| 1.0ms | n | @ | 0 | (/.f64 100 (/.f64 i n)) |
| 1.0ms | i | @ | 0 | (/.f64 100 (/.f64 i n)) |
| 1.0ms | i | @ | inf | (/.f64 100 (/.f64 i n)) |
| 1.0ms | i | @ | inf | (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
| 1× | batch-egg-rewrite |
| 1498× | rational_best-4 |
| 1498× | rational_best-2 |
| 1498× | rational_best-3 |
| 1498× | rational_best-1 |
| 1498× | exponential-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 81 |
| 1 | 92 | 81 |
| 2 | 207 | 81 |
| 3 | 658 | 81 |
| 4 | 3435 | 81 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
(+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) |
(/.f64 100 (/.f64 i n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 400 (/.f64 i n))) 8) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 400 (/.f64 i n))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 400 (/.f64 i n))) 8) (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 400 (/.f64 i n))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 800) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) (/.f64 400 (/.f64 i n))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -1/2) (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 100 (/.f64 i n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 100 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 50 (/.f64 i n)) (/.f64 50 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 100 (/.f64 i n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 50 (/.f64 i n)) (/.f64 (neg.f64 (/.f64 100 (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 100 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 1 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 200 (/.f64 1/2 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 i n)) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 50 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 200 (/.f64 i n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 400 (/.f64 1 (*.f64 (/.f64 i n) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 200 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 i n)) 200)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) 400)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 50 (/.f64 i n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 400 (/.f64 i n)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 800 (/.f64 1 (*.f64 (*.f64 i (/.f64 2 n)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 400 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 i (/.f64 2 n)) 4)) 800)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 100 (/.f64 i n)) 1))))) |
| 1× | egg-herbie |
| 996× | rational_best-simplify-52 |
| 904× | rational_best-simplify-1 |
| 856× | rational_best-simplify-51 |
| 842× | rational_best-simplify-48 |
| 840× | rational_best-simplify-108 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 392 | 8411 |
| 1 | 1019 | 8049 |
| 2 | 2389 | 7863 |
| 3 | 6159 | 7847 |
| 1× | node limit |
| Inputs |
|---|
(*.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 (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 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.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)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.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 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))) |
(*.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))) |
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(-.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 0) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -1/2) (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 2)) |
(*.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1) |
(*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) 1/2) |
(*.f64 1/2 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2)) |
(*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) 1/4) |
(*.f64 1/4 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4)) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) 2) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4)) 8) |
(pow.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1) |
(+.f64 (/.f64 100 (/.f64 i n)) 0) |
(+.f64 0 (/.f64 100 (/.f64 i n))) |
(+.f64 (/.f64 50 (/.f64 i n)) (/.f64 50 (/.f64 i n))) |
(-.f64 (/.f64 100 (/.f64 i n)) 0) |
(-.f64 (/.f64 50 (/.f64 i n)) (/.f64 (neg.f64 (/.f64 100 (/.f64 i n))) 2)) |
(*.f64 1 (/.f64 100 (/.f64 i n))) |
(*.f64 100 (/.f64 1 (/.f64 i n))) |
(*.f64 (/.f64 100 (/.f64 i n)) 1) |
(*.f64 200 (/.f64 1/2 (/.f64 i n))) |
(*.f64 (/.f64 1 (/.f64 i n)) 100) |
(*.f64 2 (/.f64 50 (/.f64 i n))) |
(*.f64 (/.f64 200 (/.f64 i n)) 1/2) |
(*.f64 400 (/.f64 1 (*.f64 (/.f64 i n) 4))) |
(*.f64 1/2 (/.f64 200 (/.f64 i n))) |
(*.f64 (/.f64 1/2 (/.f64 i n)) 200) |
(*.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) 400) |
(*.f64 (/.f64 50 (/.f64 i n)) 2) |
(*.f64 (/.f64 400 (/.f64 i n)) 1/4) |
(*.f64 800 (/.f64 1 (*.f64 (*.f64 i (/.f64 2 n)) 4))) |
(*.f64 1/4 (/.f64 400 (/.f64 i n))) |
(*.f64 (/.f64 1 (*.f64 (*.f64 i (/.f64 2 n)) 4)) 800) |
(pow.f64 (/.f64 100 (/.f64 i n)) 1) |
| Outputs |
|---|
(*.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 n) (*.f64 100 (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (*.f64 n i)))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 n (-.f64 1/2 (/.f64 1/2 n)))))) |
(+.f64 (*.f64 100 (*.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 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))) |
(+.f64 (*.f64 100 n) (+.f64 (*.f64 100 (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (*.f64 n i))) (*.f64 100 (*.f64 (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))) (*.f64 (pow.f64 i 2) n))))) |
(+.f64 (*.f64 100 n) (*.f64 (*.f64 100 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 100 n) (*.f64 (*.f64 100 n) (+.f64 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (*.f64 (pow.f64 i 2) (-.f64 (/.f64 1/3 (pow.f64 n 2)) (+.f64 (/.f64 1/2 n) -1/6)))))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.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)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.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 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))) |
(+.f64 (+.f64 (*.f64 100 n) (*.f64 100 (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (*.f64 n i)))) (+.f64 (*.f64 100 (*.f64 (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))) (*.f64 (pow.f64 i 2) n))) (*.f64 (*.f64 (-.f64 (+.f64 1/24 (*.f64 1 (/.f64 11/24 (pow.f64 n 2)))) (+.f64 (*.f64 1 (/.f64 1/4 (pow.f64 n 3))) (*.f64 1 (/.f64 1/4 n)))) (pow.f64 i 3)) (*.f64 100 n)))) |
(+.f64 (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) (*.f64 (*.f64 100 n) (+.f64 (*.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 (*.f64 1 (/.f64 11/24 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (+.f64 (/.f64 1 (pow.f64 n 3)) (/.f64 1 n))) -1/24)) (pow.f64 i 3))))) |
(+.f64 (*.f64 100 (+.f64 n (*.f64 i (*.f64 n (-.f64 1/2 (/.f64 1/2 n)))))) (*.f64 (*.f64 100 n) (+.f64 (*.f64 (pow.f64 i 2) (-.f64 (/.f64 1/3 (pow.f64 n 2)) (+.f64 (/.f64 1/2 n) -1/6))) (*.f64 (+.f64 (-.f64 (/.f64 11/24 (pow.f64 n 2)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) 1/24) (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 n (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) i)) |
(*.f64 n (*.f64 (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (/.f64 100 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 (*.f64 n (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) -1)) (/.f64 100 i)) (*.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (/.f64 100 (pow.f64 i 2)))) |
(*.f64 100 (+.f64 (/.f64 (*.f64 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) i) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)))) |
(+.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 (*.f64 n (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) -1)) (/.f64 100 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 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (/.f64 100 (pow.f64 i 3))) (*.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (/.f64 100 (pow.f64 i 2))))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) i)) (*.f64 100 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (*.f64 n (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))))) |
(+.f64 (*.f64 n (*.f64 (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (/.f64 100 i))) (*.f64 100 (+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (*.f64 n (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))))) |
(+.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 (*.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (/.f64 100 (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))))) (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (/.f64 100 (pow.f64 i 3))) (+.f64 (*.f64 (*.f64 n (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) -1)) (/.f64 100 i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 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)))) n)) (pow.f64 i 4)))))) |
(+.f64 (*.f64 100 (+.f64 (/.f64 (*.f64 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) i) (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (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 4)))) (*.f64 100 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (*.f64 n (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))))) |
(+.f64 (*.f64 100 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (*.f64 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 4)) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (*.f64 n (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))) (*.f64 100 (+.f64 (/.f64 (*.f64 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) i) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (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 (neg.f64 (/.f64 1 n)))))) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))))) i)) |
(*.f64 n (*.f64 (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) (/.f64 100 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 (*.f64 n (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) -1)) (/.f64 100 i)) (*.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))))))) (/.f64 100 (pow.f64 i 2)))) |
(*.f64 100 (+.f64 (/.f64 (*.f64 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))))) i) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) (pow.f64 i 2)))) |
(+.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 (*.f64 n (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) -1)) (/.f64 100 i)) (+.f64 (*.f64 (*.f64 (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 3) -1/2) (*.f64 1/2 (pow.f64 n 4))) n)) (/.f64 100 (pow.f64 i 3))) (*.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))))))) (/.f64 100 (pow.f64 i 2))))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))))) i)) (*.f64 100 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))) (*.f64 n (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) (pow.f64 i 2))))) |
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(*.f64 100 (/.f64 n i)) |
(*.f64 n (/.f64 100 i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 n (/.f64 100 i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 n (/.f64 100 i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 n (/.f64 100 i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 n (/.f64 100 i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 n (/.f64 100 i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 n (/.f64 100 i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 n (/.f64 100 i)) |
(+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 0) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 100 (/.f64 i n))) |
(+.f64 0 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n)))) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 100 (/.f64 i n))) |
(+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 400 (/.f64 i n))) 8) (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 400 (/.f64 i n))) 8)) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 100 (/.f64 i n))) |
(-.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 0) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 100 (/.f64 i n))) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 400 (/.f64 i n))) 8) (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n)))) 2)) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 100 (/.f64 i n))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 1) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 100 (/.f64 i n))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 200 (/.f64 i n))) 2) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 100 (/.f64 i n))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 400 (/.f64 i n))) 4) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 100 (/.f64 i n))) |
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 800) 8) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 100 (/.f64 i n))) |
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) (/.f64 400 (/.f64 i n))) 16) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 100 (/.f64 i n))) |
(pow.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 1) |
(*.f64 100 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 100 (/.f64 i n))) |
(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(-.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 0) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) -1/2) (/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) 2)) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(*.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) 1/2) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(*.f64 1/2 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2)) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) 1/4) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(*.f64 1/4 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4)) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) 2) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4) 4) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 4)) 8) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(pow.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) 1) |
(+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(+.f64 (/.f64 100 (/.f64 i n)) 0) |
(/.f64 100 (/.f64 i n)) |
(+.f64 0 (/.f64 100 (/.f64 i n))) |
(/.f64 100 (/.f64 i n)) |
(+.f64 (/.f64 50 (/.f64 i n)) (/.f64 50 (/.f64 i n))) |
(/.f64 100 (/.f64 i n)) |
(-.f64 (/.f64 100 (/.f64 i n)) 0) |
(/.f64 100 (/.f64 i n)) |
(-.f64 (/.f64 50 (/.f64 i n)) (/.f64 (neg.f64 (/.f64 100 (/.f64 i n))) 2)) |
(-.f64 (/.f64 50 (/.f64 i n)) (/.f64 (/.f64 100 (/.f64 i n)) -2)) |
(-.f64 (/.f64 50 (/.f64 i n)) (/.f64 -50 (/.f64 i n))) |
(*.f64 -2 (/.f64 -50 (/.f64 i n))) |
(*.f64 1 (/.f64 100 (/.f64 i n))) |
(/.f64 100 (/.f64 i n)) |
(*.f64 100 (/.f64 1 (/.f64 i n))) |
(/.f64 100 (/.f64 i n)) |
(*.f64 (/.f64 100 (/.f64 i n)) 1) |
(/.f64 100 (/.f64 i n)) |
(*.f64 200 (/.f64 1/2 (/.f64 i n))) |
(/.f64 100 (/.f64 i n)) |
(*.f64 (/.f64 1 (/.f64 i n)) 100) |
(/.f64 100 (/.f64 i n)) |
(*.f64 2 (/.f64 50 (/.f64 i n))) |
(/.f64 100 (/.f64 i n)) |
(*.f64 (/.f64 200 (/.f64 i n)) 1/2) |
(/.f64 100 (/.f64 i n)) |
(*.f64 400 (/.f64 1 (*.f64 (/.f64 i n) 4))) |
(/.f64 100 (/.f64 i n)) |
(*.f64 1/2 (/.f64 200 (/.f64 i n))) |
(/.f64 100 (/.f64 i n)) |
(*.f64 (/.f64 1/2 (/.f64 i n)) 200) |
(/.f64 100 (/.f64 i n)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) 400) |
(/.f64 100 (/.f64 i n)) |
(*.f64 (/.f64 50 (/.f64 i n)) 2) |
(/.f64 100 (/.f64 i n)) |
(*.f64 (/.f64 400 (/.f64 i n)) 1/4) |
(/.f64 100 (/.f64 i n)) |
(*.f64 800 (/.f64 1 (*.f64 (*.f64 i (/.f64 2 n)) 4))) |
(/.f64 100 (/.f64 i n)) |
(*.f64 1/4 (/.f64 400 (/.f64 i n))) |
(/.f64 100 (/.f64 i n)) |
(*.f64 (/.f64 1 (*.f64 (*.f64 i (/.f64 2 n)) 4)) 800) |
(/.f64 100 (/.f64 i n)) |
(pow.f64 (/.f64 100 (/.f64 i n)) 1) |
(/.f64 100 (/.f64 i n)) |
Compiled 31192 to 21532 computations (31% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 696 | 19 | 715 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 696 | 21 | 717 |
| Status | Error | Program |
|---|---|---|
| 58.8b | (+.f64 (*.f64 (exp.f64 i) (*.f64 i -50)) (*.f64 (/.f64 100 i) (+.f64 (*.f64 n (+.f64 -1 (exp.f64 i))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 (pow.f64 i 4) 1/8))) n)))) | |
| 30.2b | (+.f64 (*.f64 n 100) (*.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 n 100))) | |
| 55.7b | (*.f64 (pow.f64 n 2) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) (/.f64 100 i))) | |
| ▶ | 47.0b | (*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
| ✓ | 47.3b | (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
| ▶ | 51.3b | (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) -1) (/.f64 100 (/.f64 i n))) |
| 44.1b | (*.f64 (+.f64 i (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (pow.f64 i 2))) (/.f64 100 (/.f64 i n))) | |
| 52.3b | (*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) | |
| 55.7b | (*.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (/.f64 100 (/.f64 i n))) | |
| 46.8b | (*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) | |
| ▶ | 29.5b | (*.f64 n 100) |
| 38.9b | (*.f64 i (/.f64 100 (/.f64 i n))) | |
| ✓ | 47.3b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 46.8b | (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) | |
| 55.7b | (*.f64 100 (/.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (/.f64 i n))) | |
| ▶ | 37.6b | (*.f64 100 (/.f64 i (/.f64 i n))) |
| 47.3b | (*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 1 (/.f64 i n)))) | |
| 49.1b | (*.f64 100 (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))) | |
| 47.8b | (*.f64 100 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n)))) (/.f64 -1 (/.f64 i n)))) | |
| ▶ | 30.2b | (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
| 30.1b | (*.f64 100 (+.f64 n (*.f64 i (*.f64 n (-.f64 1/2 (/.f64 1/2 n)))))) |
Compiled 662 to 466 computations (29.6% saved)
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 15.9b | (/.f64 i (/.f64 i n)) |
Compiled 20 to 7 computations (65% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | -inf | (/.f64 i (/.f64 i n)) |
| 0.0ms | n | @ | inf | (/.f64 i (/.f64 i n)) |
| 0.0ms | i | @ | 0 | (/.f64 i (/.f64 i n)) |
| 0.0ms | i | @ | inf | (/.f64 i (/.f64 i n)) |
| 0.0ms | i | @ | -inf | (/.f64 i (/.f64 i n)) |
| 1× | batch-egg-rewrite |
| 1182× | rational_best-4 |
| 1182× | rational_best-2 |
| 1182× | rational_best-3 |
| 1182× | rational_best-1 |
| 1182× | exponential-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 1 | 43 | 13 |
| 2 | 119 | 13 |
| 3 | 428 | 13 |
| 4 | 2607 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 i (/.f64 i n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i (/.f64 i n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i (/.f64 i n)) (/.f64 0 i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i (/.f64 i n)) (/.f64 0 (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 i (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 i (/.f64 i n)) 2) (/.f64 (/.f64 i (/.f64 i n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 i) (/.f64 i (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (+.f64 i i)) (/.f64 i (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (/.f64 i (/.f64 i n)) 2) 2) (/.f64 (*.f64 3/2 (/.f64 i (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i (/.f64 (*.f64 i 4) n)) (/.f64 (*.f64 i 3) (/.f64 (*.f64 i 4) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 i 3) (/.f64 (*.f64 i 4) n)) (/.f64 i (/.f64 (*.f64 i 4) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1/2 n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 1 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (/.f64 2 (/.f64 1/2 n)) (/.f64 1 (/.f64 1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 i n)) i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 i n)) (-.f64 (+.f64 i i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 i n)) (+.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 1 (/.f64 1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 i n)) (-.f64 (*.f64 i 4) (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (*.f64 i 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (-.f64 (*.f64 (*.f64 i 4) 2) (*.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 i 4) 2) (/.f64 1 (*.f64 2 (/.f64 (*.f64 i 4) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 i 4) 2) (-.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (/.f64 1 (*.f64 2 (/.f64 (*.f64 i 4) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 1/2 n)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 1 (/.f64 1 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 1/2 n)) (/.f64 i n)) (/.f64 1 (/.f64 2 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 i (*.f64 (/.f64 i n) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 2 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (/.f64 (*.f64 i 4) n))) (*.f64 (*.f64 i 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (/.f64 i n))) (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (/.f64 i n))) (/.f64 (/.f64 1 (/.f64 1/2 n)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (/.f64 i n)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 i n) (+.f64 i i)) (/.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))) (/.f64 1 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 i n) (*.f64 i 4)) (/.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 1/2 n))) (/.f64 1/2 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n)) (*.f64 i (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 i n)) (*.f64 (/.f64 i n) (+.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (/.f64 i n)) (*.f64 (/.f64 i n) (*.f64 i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 i) (/.f64 i n))))))) |
| 1× | egg-herbie |
| 1062× | rational_best-simplify-55 |
| 1044× | rational_best-simplify-51 |
| 980× | rational_best-simplify-57 |
| 722× | rational_best-simplify-53 |
| 650× | rational_best-simplify-49 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1261 |
| 1 | 314 | 1189 |
| 2 | 1117 | 1123 |
| 3 | 5774 | 1117 |
| 1× | node limit |
| Inputs |
|---|
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
(+.f64 (/.f64 i (/.f64 i n)) 0) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 i)) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 (+.f64 i i))) |
(+.f64 0 (/.f64 i (/.f64 i n))) |
(+.f64 (/.f64 (/.f64 i (/.f64 i n)) 2) (/.f64 (/.f64 i (/.f64 i n)) 2)) |
(+.f64 (/.f64 0 i) (/.f64 i (/.f64 i n))) |
(+.f64 (/.f64 0 (+.f64 i i)) (/.f64 i (/.f64 i n))) |
(+.f64 (/.f64 (/.f64 (/.f64 i (/.f64 i n)) 2) 2) (/.f64 (*.f64 3/2 (/.f64 i (/.f64 i n))) 2)) |
(+.f64 (/.f64 i (/.f64 (*.f64 i 4) n)) (/.f64 (*.f64 i 3) (/.f64 (*.f64 i 4) n))) |
(+.f64 (/.f64 (*.f64 i 3) (/.f64 (*.f64 i 4) n)) (/.f64 i (/.f64 (*.f64 i 4) n))) |
(+.f64 (/.f64 (*.f64 3/2 (/.f64 i (/.f64 i n))) 2) (/.f64 (/.f64 (/.f64 i (/.f64 i n)) 2) 2)) |
(-.f64 (/.f64 i (/.f64 i n)) 0) |
(-.f64 0 (/.f64 (neg.f64 i) (/.f64 i n))) |
(-.f64 (/.f64 (/.f64 i (/.f64 i n)) 2) (/.f64 i (*.f64 (/.f64 i n) -2))) |
(-.f64 (/.f64 1 (/.f64 1/2 n)) (/.f64 i (/.f64 i n))) |
(-.f64 (/.f64 (*.f64 i 3) (/.f64 (*.f64 i 4) n)) (/.f64 (neg.f64 i) (/.f64 (*.f64 i 4) n))) |
(-.f64 (/.f64 (*.f64 i 3) (/.f64 (*.f64 i 4) n)) (+.f64 (/.f64 (neg.f64 i) (/.f64 (*.f64 i 4) n)) 0)) |
(-.f64 (/.f64 (*.f64 3/2 (/.f64 i (/.f64 i n))) 2) (/.f64 (/.f64 i (*.f64 (/.f64 i n) -2)) 2)) |
(-.f64 (/.f64 (*.f64 3/2 (/.f64 i (/.f64 i n))) 2) (+.f64 (/.f64 (/.f64 i (*.f64 (/.f64 i n) -2)) 2) 0)) |
(*.f64 i (/.f64 1 (/.f64 i n))) |
(*.f64 (/.f64 i n) (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n)))) |
(*.f64 (/.f64 i (/.f64 i n)) 1) |
(*.f64 1 (/.f64 i (/.f64 i n))) |
(*.f64 (+.f64 i i) (/.f64 1/2 (/.f64 i n))) |
(*.f64 (+.f64 i i) (-.f64 (/.f64 1 (/.f64 i n)) (/.f64 1/2 (/.f64 i n)))) |
(*.f64 (*.f64 i 4) (/.f64 1 (/.f64 (*.f64 i 4) n))) |
(*.f64 (*.f64 i 4) (-.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 1 (/.f64 (*.f64 i 4) n)))) |
(*.f64 (/.f64 (/.f64 i (/.f64 i n)) 2) 2) |
(*.f64 2 (/.f64 (/.f64 i (/.f64 i n)) 2)) |
(*.f64 (/.f64 1 (/.f64 1/2 n)) 1/2) |
(*.f64 1/2 (/.f64 1 (/.f64 1/2 n))) |
(*.f64 1/2 (-.f64 (/.f64 2 (/.f64 1/2 n)) (/.f64 1 (/.f64 1/2 n)))) |
(*.f64 (/.f64 1 (/.f64 i n)) i) |
(*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n)))) |
(*.f64 (/.f64 1 (/.f64 i n)) (-.f64 (+.f64 i i) i)) |
(*.f64 (/.f64 1/2 (/.f64 i n)) (+.f64 i i)) |
(*.f64 (/.f64 1/2 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 1 (/.f64 1/2 n)))) |
(*.f64 (/.f64 1/2 (/.f64 i n)) (-.f64 (*.f64 i 4) (+.f64 i i))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (*.f64 i 4)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (-.f64 (*.f64 (*.f64 i 4) 2) (*.f64 i 4))) |
(*.f64 (*.f64 (*.f64 i 4) 2) (/.f64 1 (*.f64 2 (/.f64 (*.f64 i 4) n)))) |
(*.f64 (*.f64 (*.f64 i 4) 2) (-.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (/.f64 1 (*.f64 2 (/.f64 (*.f64 i 4) n))))) |
(*.f64 (/.f64 2 (/.f64 1/2 n)) 1/4) |
(*.f64 (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 i n)) |
(*.f64 (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 1 (/.f64 1 (/.f64 i n)))) |
(*.f64 (/.f64 (/.f64 1 (/.f64 1/2 n)) (/.f64 i n)) (/.f64 1 (/.f64 2 (/.f64 i n)))) |
(*.f64 -2 (/.f64 i (*.f64 (/.f64 i n) -2))) |
(*.f64 1/4 (/.f64 2 (/.f64 1/2 n))) |
(*.f64 (/.f64 1 (*.f64 2 (/.f64 (*.f64 i 4) n))) (*.f64 (*.f64 i 4) 2)) |
(*.f64 (/.f64 1 (/.f64 1 (/.f64 i n))) (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n)))) |
(*.f64 (/.f64 1 (/.f64 2 (/.f64 i n))) (/.f64 (/.f64 1 (/.f64 1/2 n)) (/.f64 i n))) |
(*.f64 (*.f64 i (/.f64 i n)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 i n) (+.f64 i i)) (/.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))) (/.f64 1 (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 i n) (*.f64 i 4)) (/.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 1/2 n))) (/.f64 1/2 (/.f64 i n))) |
(*.f64 (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n)) (*.f64 i (/.f64 i n))) |
(*.f64 (/.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 i n)) (*.f64 (/.f64 i n) (+.f64 i i))) |
(*.f64 (/.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (/.f64 i n)) (*.f64 (/.f64 i n) (*.f64 i 4))) |
(pow.f64 (/.f64 i (/.f64 i n)) 1) |
(neg.f64 (/.f64 (neg.f64 i) (/.f64 i n))) |
| Outputs |
|---|
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
(+.f64 (/.f64 i (/.f64 i n)) 0) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 i)) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 (+.f64 i i))) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 i)) |
(+.f64 0 (/.f64 i (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 (/.f64 i (/.f64 i n)) 2) (/.f64 (/.f64 i (/.f64 i n)) 2)) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 0 i) (/.f64 i (/.f64 i n))) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 i)) |
(+.f64 (/.f64 0 (+.f64 i i)) (/.f64 i (/.f64 i n))) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 i)) |
(+.f64 (/.f64 (/.f64 (/.f64 i (/.f64 i n)) 2) 2) (/.f64 (*.f64 3/2 (/.f64 i (/.f64 i n))) 2)) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 (*.f64 i 4) n)) (/.f64 (*.f64 i 3) (/.f64 (*.f64 i 4) n))) |
(/.f64 (+.f64 (*.f64 i 3) i) (/.f64 (*.f64 i 4) n)) |
(/.f64 (*.f64 i 4) (/.f64 (*.f64 i 4) n)) |
(+.f64 (/.f64 (*.f64 i 3) (/.f64 (*.f64 i 4) n)) (/.f64 i (/.f64 (*.f64 i 4) n))) |
(/.f64 (+.f64 (*.f64 i 3) i) (/.f64 (*.f64 i 4) n)) |
(/.f64 (*.f64 i 4) (/.f64 (*.f64 i 4) n)) |
(+.f64 (/.f64 (*.f64 3/2 (/.f64 i (/.f64 i n))) 2) (/.f64 (/.f64 (/.f64 i (/.f64 i n)) 2) 2)) |
(/.f64 i (/.f64 i n)) |
(-.f64 (/.f64 i (/.f64 i n)) 0) |
(/.f64 i (/.f64 i n)) |
(-.f64 0 (/.f64 (neg.f64 i) (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(-.f64 (/.f64 (/.f64 i (/.f64 i n)) 2) (/.f64 i (*.f64 (/.f64 i n) -2))) |
(/.f64 i (/.f64 i n)) |
(-.f64 (/.f64 1 (/.f64 1/2 n)) (/.f64 i (/.f64 i n))) |
(-.f64 (/.f64 2 (/.f64 1 n)) (/.f64 i (/.f64 i n))) |
(-.f64 (/.f64 (*.f64 i 3) (/.f64 (*.f64 i 4) n)) (/.f64 (neg.f64 i) (/.f64 (*.f64 i 4) n))) |
(/.f64 (+.f64 (*.f64 i 3) i) (/.f64 (*.f64 i 4) n)) |
(/.f64 (*.f64 i 4) (/.f64 (*.f64 i 4) n)) |
(-.f64 (/.f64 (*.f64 i 3) (/.f64 (*.f64 i 4) n)) (+.f64 (/.f64 (neg.f64 i) (/.f64 (*.f64 i 4) n)) 0)) |
(/.f64 (+.f64 (*.f64 i 3) i) (/.f64 (*.f64 i 4) n)) |
(/.f64 (*.f64 i 4) (/.f64 (*.f64 i 4) n)) |
(-.f64 (/.f64 (*.f64 3/2 (/.f64 i (/.f64 i n))) 2) (/.f64 (/.f64 i (*.f64 (/.f64 i n) -2)) 2)) |
(/.f64 i (/.f64 i n)) |
(-.f64 (/.f64 (*.f64 3/2 (/.f64 i (/.f64 i n))) 2) (+.f64 (/.f64 (/.f64 i (*.f64 (/.f64 i n) -2)) 2) 0)) |
(/.f64 i (/.f64 i n)) |
(*.f64 i (/.f64 1 (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(*.f64 (/.f64 i n) (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n)))) |
(/.f64 i (/.f64 i n)) |
(*.f64 (/.f64 i (/.f64 i n)) 1) |
(/.f64 i (/.f64 i n)) |
(*.f64 1 (/.f64 i (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(*.f64 (+.f64 i i) (/.f64 1/2 (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(*.f64 (+.f64 i i) (-.f64 (/.f64 1 (/.f64 i n)) (/.f64 1/2 (/.f64 i n)))) |
(/.f64 i (/.f64 i n)) |
(*.f64 (*.f64 i 4) (/.f64 1 (/.f64 (*.f64 i 4) n))) |
(/.f64 (+.f64 (*.f64 i 3) i) (/.f64 (*.f64 i 4) n)) |
(/.f64 (*.f64 i 4) (/.f64 (*.f64 i 4) n)) |
(*.f64 (*.f64 i 4) (-.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 1 (/.f64 (*.f64 i 4) n)))) |
(*.f64 4 (*.f64 i (-.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 2 (/.f64 (*.f64 i 8) n))))) |
(*.f64 i (*.f64 4 (-.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 1 (/.f64 (*.f64 i 4) n))))) |
(*.f64 (/.f64 (/.f64 i (/.f64 i n)) 2) 2) |
(/.f64 i (/.f64 i n)) |
(*.f64 2 (/.f64 (/.f64 i (/.f64 i n)) 2)) |
(/.f64 i (/.f64 i n)) |
(*.f64 (/.f64 1 (/.f64 1/2 n)) 1/2) |
(*.f64 1 (/.f64 1/2 (/.f64 1/2 n))) |
(*.f64 2 (/.f64 1/2 (/.f64 1 n))) |
(/.f64 2 (/.f64 2 n)) |
(*.f64 1/2 (/.f64 1 (/.f64 1/2 n))) |
(*.f64 1 (/.f64 1/2 (/.f64 1/2 n))) |
(*.f64 2 (/.f64 1/2 (/.f64 1 n))) |
(/.f64 2 (/.f64 2 n)) |
(*.f64 1/2 (-.f64 (/.f64 2 (/.f64 1/2 n)) (/.f64 1 (/.f64 1/2 n)))) |
(*.f64 1 (/.f64 1/2 (/.f64 1/2 n))) |
(*.f64 2 (/.f64 1/2 (/.f64 1 n))) |
(/.f64 2 (/.f64 2 n)) |
(*.f64 (/.f64 1 (/.f64 i n)) i) |
(/.f64 i (/.f64 i n)) |
(*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n)))) |
(/.f64 i (/.f64 i n)) |
(*.f64 (/.f64 1 (/.f64 i n)) (-.f64 (+.f64 i i) i)) |
(/.f64 i (/.f64 i n)) |
(*.f64 (/.f64 1/2 (/.f64 i n)) (+.f64 i i)) |
(/.f64 i (/.f64 i n)) |
(*.f64 (/.f64 1/2 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 1 (/.f64 1/2 n)))) |
(*.f64 (/.f64 1 (/.f64 1/2 n)) (*.f64 (/.f64 i n) (/.f64 1/2 (/.f64 i n)))) |
(*.f64 (/.f64 i n) (*.f64 (/.f64 2 (/.f64 1 n)) (/.f64 1/2 (/.f64 i n)))) |
(*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n)))) |
(*.f64 (/.f64 1/2 (/.f64 i n)) (-.f64 (*.f64 i 4) (+.f64 i i))) |
(*.f64 1/2 (/.f64 (-.f64 (*.f64 i 3) i) (/.f64 i n))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (*.f64 i 4)) |
(/.f64 (+.f64 (*.f64 i 3) i) (/.f64 (*.f64 i 4) n)) |
(/.f64 (*.f64 i 4) (/.f64 (*.f64 i 4) n)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (-.f64 (*.f64 (*.f64 i 4) 2) (*.f64 i 4))) |
(/.f64 (+.f64 (*.f64 i 3) i) (/.f64 (*.f64 i 4) n)) |
(/.f64 (*.f64 i 4) (/.f64 (*.f64 i 4) n)) |
(*.f64 (*.f64 (*.f64 i 4) 2) (/.f64 1 (*.f64 2 (/.f64 (*.f64 i 4) n)))) |
(/.f64 (+.f64 (*.f64 i 3) i) (/.f64 (*.f64 i 4) n)) |
(/.f64 (*.f64 i 4) (/.f64 (*.f64 i 4) n)) |
(*.f64 (*.f64 (*.f64 i 4) 2) (-.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (/.f64 1 (*.f64 2 (/.f64 (*.f64 i 4) n))))) |
(/.f64 (+.f64 (*.f64 i 3) i) (/.f64 (*.f64 i 4) n)) |
(/.f64 (*.f64 i 4) (/.f64 (*.f64 i 4) n)) |
(*.f64 (/.f64 2 (/.f64 1/2 n)) 1/4) |
(*.f64 1 (/.f64 1/2 (/.f64 1/2 n))) |
(*.f64 2 (/.f64 1/2 (/.f64 1 n))) |
(/.f64 2 (/.f64 2 n)) |
(*.f64 (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 i n)) |
(/.f64 i (/.f64 i n)) |
(*.f64 (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 1 (/.f64 1 (/.f64 i n)))) |
(/.f64 i (/.f64 i n)) |
(*.f64 (/.f64 (/.f64 1 (/.f64 1/2 n)) (/.f64 i n)) (/.f64 1 (/.f64 2 (/.f64 i n)))) |
(*.f64 1 (/.f64 1/2 (/.f64 1/2 n))) |
(*.f64 2 (/.f64 1/2 (/.f64 1 n))) |
(/.f64 2 (/.f64 2 n)) |
(*.f64 -2 (/.f64 i (*.f64 (/.f64 i n) -2))) |
(/.f64 i (/.f64 i n)) |
(*.f64 1/4 (/.f64 2 (/.f64 1/2 n))) |
(*.f64 1 (/.f64 1/2 (/.f64 1/2 n))) |
(*.f64 2 (/.f64 1/2 (/.f64 1 n))) |
(/.f64 2 (/.f64 2 n)) |
(*.f64 (/.f64 1 (*.f64 2 (/.f64 (*.f64 i 4) n))) (*.f64 (*.f64 i 4) 2)) |
(/.f64 (+.f64 (*.f64 i 3) i) (/.f64 (*.f64 i 4) n)) |
(/.f64 (*.f64 i 4) (/.f64 (*.f64 i 4) n)) |
(*.f64 (/.f64 1 (/.f64 1 (/.f64 i n))) (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n)))) |
(/.f64 i (/.f64 i n)) |
(*.f64 (/.f64 1 (/.f64 2 (/.f64 i n))) (/.f64 (/.f64 1 (/.f64 1/2 n)) (/.f64 i n))) |
(*.f64 1 (/.f64 1/2 (/.f64 1/2 n))) |
(*.f64 2 (/.f64 1/2 (/.f64 1 n))) |
(/.f64 2 (/.f64 2 n)) |
(*.f64 (*.f64 i (/.f64 i n)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 i n) (+.f64 i i)) (/.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))) (/.f64 1 (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 i n) (*.f64 i 4)) (/.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (/.f64 i n))) |
(/.f64 (+.f64 (*.f64 i 3) i) (/.f64 (*.f64 i 4) n)) |
(/.f64 (*.f64 i 4) (/.f64 (*.f64 i 4) n)) |
(*.f64 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 1/2 n))) (/.f64 1/2 (/.f64 i n))) |
(*.f64 (/.f64 1 (/.f64 1/2 n)) (*.f64 (/.f64 i n) (/.f64 1/2 (/.f64 i n)))) |
(*.f64 (/.f64 i n) (*.f64 (/.f64 2 (/.f64 1 n)) (/.f64 1/2 (/.f64 i n)))) |
(*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n)))) |
(*.f64 (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n)) (*.f64 i (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(*.f64 (/.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 i n)) (*.f64 (/.f64 i n) (+.f64 i i))) |
(/.f64 i (/.f64 i n)) |
(*.f64 (/.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (/.f64 i n)) (*.f64 (/.f64 i n) (*.f64 i 4))) |
(/.f64 (+.f64 (*.f64 i 3) i) (/.f64 (*.f64 i 4) n)) |
(/.f64 (*.f64 i 4) (/.f64 (*.f64 i 4) n)) |
(pow.f64 (/.f64 i (/.f64 i n)) 1) |
(/.f64 i (/.f64 i n)) |
(neg.f64 (/.f64 (neg.f64 i) (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
| ✓ | 0.1b | (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
| ✓ | 0.1b | (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) |
| ✓ | 4.2b | (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
Compiled 70 to 52 computations (25.7% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | n | @ | 0 | (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
| 2.0ms | i | @ | 0 | (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
| 1.0ms | n | @ | -inf | (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
| 1.0ms | i | @ | inf | (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
| 1.0ms | n | @ | inf | (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
| 1× | batch-egg-rewrite |
| 1102× | rational_best-simplify-63 |
| 888× | rational_best-4 |
| 888× | rational_best-2 |
| 888× | rational_best-3 |
| 888× | rational_best-1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 136 |
| 1 | 101 | 112 |
| 2 | 207 | 112 |
| 3 | 549 | 112 |
| 4 | 2236 | 112 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
(*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) 2) (/.f64 (*.f64 3 (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 4) (/.f64 (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (/.f64 (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (*.f64 i (/.f64 (+.f64 n -1) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 n (+.f64 i i))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 (*.f64 n i) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n 4) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4) (*.f64 (*.f64 n i) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 i 4) (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (*.f64 i (/.f64 (+.f64 n -1) n))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (*.f64 i (*.f64 (/.f64 (+.f64 n -1) n) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4) (*.f64 i 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n -2) (*.f64 i (/.f64 (+.f64 n -1) n))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n -2) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (+.f64 i i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 i 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 (*.f64 n i) 8)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n -2) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 (*.f64 n 4) (*.f64 i 4))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n -2) (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n i) (/.f64 (-.f64 1 n) n)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 n i) (+.f64 (/.f64 1/2 n) -1/2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2) (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 4) (/.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2) 2) (/.f64 (/.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 3)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2) (/.f64 (neg.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (+.f64 i i)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 i 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i (*.f64 (/.f64 (+.f64 n -1) n) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4) (*.f64 i 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 (+.f64 i i) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i (/.f64 (-.f64 1 n) n)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 i (+.f64 (/.f64 1/2 n) -1/2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 2) (/.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 2) 2) (/.f64 (/.f64 (*.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 300) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 4) (/.f64 (*.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 300) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 2) (/.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (*.f64 n (+.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 400) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (+.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) 2)) 400) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 n (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 n (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n (*.f64 i (/.f64 (+.f64 n -1) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 n (-.f64 -1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 n n) (+.f64 n (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 n (*.f64 i (/.f64 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((x *.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (-.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) (+.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 n (+.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 n n) (-.f64 (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 n n) (+.f64 1/2 (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 n n) (+.f64 (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 n (-.f64 -1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (+.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (-.f64 -1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (+.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (-.f64 -1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (+.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) 2)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 n n) 4) (*.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 8) (*.f64 (+.f64 n n) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 n) (*.f64 (*.f64 n i) (+.f64 (/.f64 1/2 n) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)) (neg.f64 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4))) (*.f64 n -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 n 4) (neg.f64 (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)) n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 n (+.f64 i i))) (+.f64 n n)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 (*.f64 n i) 4)) (*.f64 n 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 n (-.f64 -1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))))))) |
| 1× | egg-herbie |
| 1158× | rational_best-simplify-50 |
| 1042× | rational_best-simplify-1 |
| 948× | rational_best-simplify-63 |
| 674× | rational_best-simplify-47 |
| 620× | rational_best-simplify-55 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 311 | 5752 |
| 1 | 804 | 5410 |
| 2 | 2358 | 5136 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 i) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(*.f64 1/2 (*.f64 n i)) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(*.f64 1/2 (*.f64 n i)) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n 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 (*.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 -50 i) |
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i)) |
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i)) |
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i)) |
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) |
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i)) |
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i)) |
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i)) |
(*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) |
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i)) |
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i)) |
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.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 -1/2 i) |
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i)) |
(*.f64 (+.f64 1 (*.f64 1/2 i)) n) |
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i)) |
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i)) |
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) |
(+.f64 (*.f64 -1/2 i) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1/2 i) 1)))) |
(+.f64 (*.f64 -1/2 i) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1/2 i) 1)))) |
(+.f64 (*.f64 -1/2 i) (*.f64 -1 (*.f64 n (-.f64 (*.f64 -1/2 i) 1)))) |
n |
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
(*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
(+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 0) |
(+.f64 0 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) |
(+.f64 (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2)) |
(+.f64 (/.f64 (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) 2) (/.f64 (*.f64 3 (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2)) 2)) |
(+.f64 (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 4) (/.f64 (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 3))) 4)) |
(-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 0) |
(-.f64 0 (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n))) |
(-.f64 (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (/.f64 (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n)) 2)) |
(/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 1) |
(/.f64 (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n)) -1) |
(/.f64 (*.f64 n (*.f64 i (/.f64 (+.f64 n -1) n))) 2) |
(/.f64 (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4))) 4) |
(/.f64 (*.f64 (*.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)) -1) |
(/.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 n (+.f64 i i))) -2) |
(/.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 (*.f64 n i) 4)) -4) |
(/.f64 (*.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 8) 8) |
(/.f64 (*.f64 (*.f64 n 4) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4))) 16) |
(/.f64 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4) (*.f64 (*.f64 n i) 4)) 16) |
(/.f64 (*.f64 (*.f64 i 4) (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4))) 16) |
(/.f64 (*.f64 (neg.f64 n) (*.f64 i (/.f64 (+.f64 n -1) n))) -2) |
(/.f64 (*.f64 (neg.f64 n) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4))) -4) |
(/.f64 (*.f64 (neg.f64 n) (*.f64 i (*.f64 (/.f64 (+.f64 n -1) n) 4))) -8) |
(/.f64 (*.f64 (neg.f64 n) (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4) (*.f64 i 4))) -16) |
(/.f64 (*.f64 (*.f64 n -2) (*.f64 i (/.f64 (+.f64 n -1) n))) -4) |
(/.f64 (*.f64 (*.f64 n -2) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4))) -8) |
(/.f64 (*.f64 (neg.f64 n) (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (+.f64 i i))) 2) |
(/.f64 (*.f64 (neg.f64 n) (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 i 4))) 4) |
(/.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 (*.f64 n i) 8)) -8) |
(/.f64 (*.f64 (*.f64 n -2) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) -2) |
(/.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 (*.f64 n 4) (*.f64 i 4))) -16) |
(/.f64 (*.f64 (*.f64 n -2) (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2)) -1) |
(/.f64 (*.f64 (*.f64 n i) (/.f64 (-.f64 1 n) n)) -2) |
(pow.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 1) |
(neg.f64 (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n))) |
(neg.f64 (*.f64 (*.f64 n i) (+.f64 (/.f64 1/2 n) -1/2))) |
(+.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 0) |
(+.f64 0 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) |
(+.f64 (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2) (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2)) |
(+.f64 (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 4) (/.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 3)) 4)) |
(+.f64 (/.f64 (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2) 2) (/.f64 (/.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 3)) 2) 2)) |
(-.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 0) |
(-.f64 (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2) (/.f64 (neg.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2)) |
(/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 1) |
(/.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) 2) |
(/.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4)) 4) |
(/.f64 (*.f64 i (+.f64 (/.f64 1/2 n) -1/2)) -1) |
(/.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (+.f64 i i)) -2) |
(/.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 i 4)) -4) |
(/.f64 (*.f64 i (*.f64 (/.f64 (+.f64 n -1) n) 4)) 8) |
(/.f64 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 4) (*.f64 i 4)) 16) |
(/.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 (+.f64 i i) 4)) -8) |
(/.f64 (*.f64 i (/.f64 (-.f64 1 n) n)) -2) |
(pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 1) |
(neg.f64 (*.f64 i (+.f64 (/.f64 1/2 n) -1/2))) |
(+.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 0) |
(+.f64 0 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 2) (/.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 2)) |
(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 2) 2) (/.f64 (/.f64 (*.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 300) 2) 2)) |
(+.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 4) (/.f64 (*.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 300) 4)) |
(-.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 0) |
(-.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 2) (/.f64 (neg.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))) 2)) |
(/.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 1) |
(/.f64 (*.f64 100 (*.f64 n (+.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) 2))) 2) |
(/.f64 (*.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 400) 4) |
(/.f64 (*.f64 (*.f64 n (+.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) 2)) 400) 8) |
(pow.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100)) 1) |
(-.f64 n (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n))) |
(-.f64 n (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n (*.f64 i (/.f64 (+.f64 n -1) n))))) |
(-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (neg.f64 n)) |
(-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))))) |
(-.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 0) |
(-.f64 0 (*.f64 n (-.f64 -1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))) |
(-.f64 (+.f64 n n) (+.f64 n (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n)))) |
(-.f64 (*.f64 n (*.f64 i (/.f64 (+.f64 n -1) n))) (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n)) |
(-.f64 (/.f64 n 2) (/.f64 (+.f64 n (*.f64 n (*.f64 i (/.f64 (+.f64 n -1) n)))) -2)) |
(-.f64 (/.f64 n 2) (-.f64 (/.f64 n -2) (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))) |
(-.f64 (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (/.f64 (*.f64 n (-.f64 -2 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 2)) |
(-.f64 (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (-.f64 (/.f64 n -2) (/.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 2))) |
(-.f64 (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2) (+.f64 (/.f64 (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n)) 2) (neg.f64 n))) |
(-.f64 (/.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 2) (/.f64 (*.f64 n (-.f64 -1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 2)) |
(-.f64 (-.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n) (*.f64 n -2)) |
(-.f64 (+.f64 n (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2)) (neg.f64 (/.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2))) |
(-.f64 (+.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (/.f64 n 2)) (/.f64 n -2)) |
(-.f64 (/.f64 (*.f64 n 3) 4) (+.f64 (/.f64 (neg.f64 n) 4) (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n)))) |
(-.f64 (neg.f64 (/.f64 n -2)) (-.f64 (/.f64 n -2) (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))) |
(-.f64 (/.f64 (neg.f64 n) -2) (-.f64 (/.f64 n -2) (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))) |
(*.f64 n (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) |
(*.f64 n (-.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) (+.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) -1))) |
(*.f64 1/2 (*.f64 n (+.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) 2))) |
(*.f64 1 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))) |
(*.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 1) |
(*.f64 (+.f64 n n) (-.f64 (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2) -1/2)) |
(*.f64 (+.f64 n n) (+.f64 1/2 (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2))) |
(*.f64 (+.f64 n n) (+.f64 (/.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 2) 1/2)) |
(*.f64 -1 (*.f64 n (-.f64 -1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))) |
(*.f64 (*.f64 n (+.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) 2)) 1/2) |
(*.f64 1/4 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 4))) |
(*.f64 (*.f64 n (-.f64 -1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) -1) |
(*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n) |
(*.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 4)) 1/4) |
(/.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 1) |
(/.f64 (*.f64 n (+.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) 2)) 2) |
(/.f64 (*.f64 n (-.f64 -1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) -1) |
(/.f64 (*.f64 (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 4)) 4) |
(/.f64 (*.f64 (*.f64 n (+.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) 2)) 4) 8) |
(/.f64 (*.f64 (neg.f64 n) (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) -1) |
(/.f64 (+.f64 (*.f64 (+.f64 n n) 4) (*.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 8)) 8) |
(/.f64 (+.f64 (*.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 8) (*.f64 (+.f64 n n) 4)) 8) |
(/.f64 (+.f64 (neg.f64 n) (*.f64 (*.f64 n i) (+.f64 (/.f64 1/2 n) -1/2))) -1) |
(/.f64 (+.f64 (*.f64 (*.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)) (neg.f64 n)) -1) |
(/.f64 (-.f64 (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4))) (*.f64 n -4)) 4) |
(/.f64 (-.f64 (*.f64 n 4) (neg.f64 (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4))))) 4) |
(/.f64 (-.f64 (*.f64 (*.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)) n) -1) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 n (+.f64 i i))) (+.f64 n n)) -2) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 (*.f64 n i) 4)) (*.f64 n 4)) -4) |
(pow.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 1) |
(neg.f64 (*.f64 n (-.f64 -1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))) |
| Outputs |
|---|
(*.f64 -1/2 i) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 i n))) |
(+.f64 (*.f64 -1/2 i) (*.f64 i (*.f64 1/2 n))) |
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 i n))) |
(+.f64 (*.f64 -1/2 i) (*.f64 i (*.f64 1/2 n))) |
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 i n))) |
(+.f64 (*.f64 -1/2 i) (*.f64 i (*.f64 1/2 n))) |
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n))) |
(*.f64 1/2 (*.f64 n i)) |
(*.f64 1/2 (*.f64 i n)) |
(*.f64 i (*.f64 1/2 n)) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 i n))) |
(+.f64 (*.f64 -1/2 i) (*.f64 i (*.f64 1/2 n))) |
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 i n))) |
(+.f64 (*.f64 -1/2 i) (*.f64 i (*.f64 1/2 n))) |
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 i n))) |
(+.f64 (*.f64 -1/2 i) (*.f64 i (*.f64 1/2 n))) |
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n))) |
(*.f64 1/2 (*.f64 n i)) |
(*.f64 1/2 (*.f64 i n)) |
(*.f64 i (*.f64 1/2 n)) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 i n))) |
(+.f64 (*.f64 -1/2 i) (*.f64 i (*.f64 1/2 n))) |
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 i n))) |
(+.f64 (*.f64 -1/2 i) (*.f64 i (*.f64 1/2 n))) |
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 i n))) |
(+.f64 (*.f64 -1/2 i) (*.f64 i (*.f64 1/2 n))) |
(*.f64 i (+.f64 -1/2 (*.f64 1/2 n))) |
(*.f64 -1/2 (/.f64 i n)) |
(*.f64 i (/.f64 -1/2 n)) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 i) |
(*.f64 i 1/2) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 i) |
(*.f64 i 1/2) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(+.f64 (*.f64 -1/2 (/.f64 i n)) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 -50 i) |
(*.f64 i -50) |
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)))) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100))) |
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)))) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100))) |
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)))) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100))) |
(*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) |
(*.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1))) |
(*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100)) |
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)))) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100))) |
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)))) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100))) |
(+.f64 (*.f64 100 (*.f64 n (+.f64 1 (*.f64 1/2 i)))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 100 (*.f64 n (+.f64 (*.f64 i 1/2) 1)))) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100))) |
(*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) |
(*.f64 -100 (*.f64 n (+.f64 (*.f64 -1/2 i) -1))) |
(*.f64 n (*.f64 (+.f64 (*.f64 -1/2 i) -1) -100)) |
(*.f64 n (*.f64 -100 (+.f64 (*.f64 -1/2 i) -1))) |
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 -100 (*.f64 n (+.f64 (*.f64 -1/2 i) -1)))) |
(+.f64 (*.f64 i -50) (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 i) -1) -100))) |
(+.f64 (*.f64 i -50) (*.f64 n (*.f64 -100 (+.f64 (*.f64 -1/2 i) -1)))) |
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 -100 (*.f64 n (+.f64 (*.f64 -1/2 i) -1)))) |
(+.f64 (*.f64 i -50) (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 i) -1) -100))) |
(+.f64 (*.f64 i -50) (*.f64 n (*.f64 -100 (+.f64 (*.f64 -1/2 i) -1)))) |
(+.f64 (*.f64 -100 (*.f64 n (-.f64 (*.f64 -1/2 i) 1))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 -100 (*.f64 n (+.f64 (*.f64 -1/2 i) -1)))) |
(+.f64 (*.f64 i -50) (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 i) -1) -100))) |
(+.f64 (*.f64 i -50) (*.f64 n (*.f64 -100 (+.f64 (*.f64 -1/2 i) -1)))) |
(*.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)) |
(+.f64 (*.f64 n 100) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) n)))) |
(*.f64 100 (+.f64 n (*.f64 (*.f64 i n) (-.f64 1/2 (/.f64 1/2 n))))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(+.f64 (*.f64 n 100) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) n)))) |
(*.f64 100 (+.f64 n (*.f64 (*.f64 i n) (-.f64 1/2 (/.f64 1/2 n))))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(+.f64 (*.f64 n 100) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) n)))) |
(*.f64 100 (+.f64 n (*.f64 (*.f64 i n) (-.f64 1/2 (/.f64 1/2 n))))) |
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(*.f64 (*.f64 i n) (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 100)) |
(*.f64 i (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (*.f64 n 100))) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (*.f64 n 100) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) n)))) |
(*.f64 100 (+.f64 n (*.f64 (*.f64 i n) (-.f64 1/2 (/.f64 1/2 n))))) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (*.f64 n 100) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) n)))) |
(*.f64 100 (+.f64 n (*.f64 (*.f64 i n) (-.f64 1/2 (/.f64 1/2 n))))) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (*.f64 n 100) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) n)))) |
(*.f64 100 (+.f64 n (*.f64 (*.f64 i n) (-.f64 1/2 (/.f64 1/2 n))))) |
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(*.f64 (*.f64 i n) (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) 100)) |
(*.f64 i (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (*.f64 n 100))) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (*.f64 n 100) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) n)))) |
(*.f64 100 (+.f64 n (*.f64 (*.f64 i n) (-.f64 1/2 (/.f64 1/2 n))))) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (*.f64 n 100) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) n)))) |
(*.f64 100 (+.f64 n (*.f64 (*.f64 i n) (-.f64 1/2 (/.f64 1/2 n))))) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (*.f64 n 100) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) n)))) |
(*.f64 100 (+.f64 n (*.f64 (*.f64 i n) (-.f64 1/2 (/.f64 1/2 n))))) |
(*.f64 -1/2 i) |
(+.f64 (*.f64 (+.f64 1 (*.f64 1/2 i)) n) (*.f64 -1/2 i)) |
(+.f64 (*.f64 -1/2 i) (*.f64 n (+.f64 (*.f64 i 1/2) 1))) |
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(-.f64 n (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n))) |
(+.f64 n (*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))) |
(+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) |
(/.f64 (*.f64 (*.f64 n (+.f64 (*.f64 i (/.f64 (+.f64 n -1) n)) 2)) 4) 8) |
(/.f64 (*.f64 4 (*.f64 n (+.f64 2 (*.f64 i (/.f64 (+.f64 n -1) n))))) 8) |
(/.f64 (*.f64 (+.f64 2 (-.f64 i (/.f64 i n))) (*.f64 n 4)) 8) |
(/.f64 (*.f64 4 (*.f64 n (-.f64 (-.f64 i -2) (/.f64 i n)))) 8) |
(/.f64 (*.f64 (neg.f64 n) (+.f64 1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) -1) |
(-.f64 n (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n))) |
(+.f64 n (*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))) |
(+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) |
(/.f64 (+.f64 (*.f64 (+.f64 n n) 4) (*.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 8)) 8) |
(-.f64 n (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n))) |
(+.f64 n (*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))) |
(+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) |
(/.f64 (+.f64 (*.f64 (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 8) (*.f64 (+.f64 n n) 4)) 8) |
(-.f64 n (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n))) |
(+.f64 n (*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))) |
(+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) |
(/.f64 (+.f64 (neg.f64 n) (*.f64 (*.f64 n i) (+.f64 (/.f64 1/2 n) -1/2))) -1) |
(neg.f64 (+.f64 (neg.f64 n) (*.f64 (*.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))) |
(-.f64 n (*.f64 i (*.f64 n (+.f64 -1/2 (/.f64 1/2 n))))) |
(/.f64 (+.f64 (*.f64 (*.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)) (neg.f64 n)) -1) |
(neg.f64 (+.f64 (neg.f64 n) (*.f64 (*.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))) |
(-.f64 n (*.f64 i (*.f64 n (+.f64 -1/2 (/.f64 1/2 n))))) |
(/.f64 (-.f64 (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4))) (*.f64 n -4)) 4) |
(-.f64 n (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n))) |
(+.f64 n (*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))) |
(+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) |
(/.f64 (-.f64 (*.f64 n 4) (neg.f64 (*.f64 n (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 i 4))))) 4) |
(-.f64 n (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n))) |
(+.f64 n (*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))) |
(+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) |
(/.f64 (-.f64 (*.f64 (*.f64 n i) (+.f64 (/.f64 1/2 n) -1/2)) n) -1) |
(neg.f64 (+.f64 (neg.f64 n) (*.f64 (*.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))) |
(-.f64 n (*.f64 i (*.f64 n (+.f64 -1/2 (/.f64 1/2 n))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 n (+.f64 i i))) (+.f64 n n)) -2) |
(neg.f64 (+.f64 (neg.f64 n) (*.f64 (*.f64 i n) (+.f64 -1/2 (/.f64 1/2 n))))) |
(-.f64 n (*.f64 i (*.f64 n (+.f64 -1/2 (/.f64 1/2 n))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 1/2 n) -1/2) (*.f64 (*.f64 n i) 4)) (*.f64 n 4)) -4) |
(/.f64 (-.f64 (*.f64 4 (*.f64 (*.f64 i n) (+.f64 -1/2 (/.f64 1/2 n)))) (*.f64 n 4)) -4) |
(/.f64 (-.f64 (*.f64 (*.f64 i n) (*.f64 (+.f64 -1/2 (/.f64 1/2 n)) 4)) (*.f64 n 4)) -4) |
(/.f64 (*.f64 4 (-.f64 (*.f64 i (*.f64 n (+.f64 -1/2 (/.f64 1/2 n)))) n)) -4) |
(pow.f64 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) 1) |
(-.f64 n (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n))) |
(+.f64 n (*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))) |
(+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) |
(neg.f64 (*.f64 n (-.f64 -1 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))))) |
(-.f64 n (*.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) (neg.f64 n))) |
(+.f64 n (*.f64 (*.f64 i n) (+.f64 1/2 (/.f64 -1/2 n)))) |
(+.f64 n (*.f64 i (*.f64 n (+.f64 1/2 (/.f64 -1/2 n))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 100 (/.f64 i n)) | |
| ✓ | 3.5b | (-.f64 (exp.f64 i) 1) |
| ✓ | 15.3b | (*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
Compiled 30 to 15 computations (50% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | i | @ | inf | (*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
| 2.0ms | i | @ | -inf | (*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
| 1.0ms | n | @ | 0 | (*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
| 1.0ms | i | @ | 0 | (*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
| 1.0ms | n | @ | inf | (*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
| 1× | batch-egg-rewrite |
| 1392× | rational_best-4 |
| 1392× | rational_best-2 |
| 1392× | rational_best-3 |
| 1392× | rational_best-1 |
| 1392× | exponential-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 40 |
| 1 | 85 | 40 |
| 2 | 199 | 40 |
| 3 | 640 | 40 |
| 4 | 3226 | 40 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
(-.f64 (exp.f64 i) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 400 (/.f64 i n))) 8) (/.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 400 (/.f64 i n))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 400 (/.f64 i n))) 8) (/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 200 (/.f64 i n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 400 (/.f64 i n))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n)) 800) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 400 (/.f64 i n)) (*.f64 (+.f64 (exp.f64 i) -1) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n))) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 i) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 i) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 i) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 i) 2) -1/2) (+.f64 (/.f64 (exp.f64 i) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 i) 2) (+.f64 -1 (/.f64 (exp.f64 i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 i) 2) (/.f64 (+.f64 (exp.f64 i) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (/.f64 (exp.f64 i) 2)) (/.f64 (exp.f64 i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (/.f64 (+.f64 -1 (*.f64 (exp.f64 i) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (exp.f64 i) -2) 2) (/.f64 (exp.f64 i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (*.f64 (exp.f64 i) 2)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 i) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 i) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (exp.f64 i) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (exp.f64 i) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 i) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (exp.f64 i) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 i) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 i) 2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (exp.f64 i) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 i) -1) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 i) -1) 1))))) |
| 1× | egg-herbie |
| 1090× | rational_best-simplify-47 |
| 756× | rational_best-simplify-49 |
| 712× | rational_best-simplify-67 |
| 650× | rational_best-simplify-63 |
| 606× | rational_best-simplify-53 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 1407 |
| 1 | 256 | 1407 |
| 2 | 603 | 1407 |
| 3 | 1845 | 1383 |
| 4 | 7738 | 1383 |
| 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)) |
i |
(+.f64 i (*.f64 1/2 (pow.f64 i 2))) |
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2)))) |
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (+.f64 (*.f64 1/24 (pow.f64 i 4)) (*.f64 1/2 (pow.f64 i 2))))) |
(+.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n))) 0) |
(+.f64 0 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n)))) |
(+.f64 (/.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 400 (/.f64 i n))) 8) (/.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 400 (/.f64 i n))) 8)) |
(-.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n))) 0) |
(-.f64 (/.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 400 (/.f64 i n))) 8) (/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n)))) 2)) |
(/.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n))) 1) |
(/.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 200 (/.f64 i n))) 2) |
(/.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 400 (/.f64 i n))) 4) |
(/.f64 (*.f64 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n)) 800) 8) |
(/.f64 (*.f64 (/.f64 400 (/.f64 i n)) (*.f64 (+.f64 (exp.f64 i) -1) 4)) 16) |
(pow.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n))) 1) |
(+.f64 (exp.f64 i) -1) |
(+.f64 (+.f64 (exp.f64 i) -1) 0) |
(+.f64 0 (+.f64 (exp.f64 i) -1)) |
(+.f64 -1 (exp.f64 i)) |
(+.f64 (+.f64 (/.f64 (exp.f64 i) 2) -1/2) (+.f64 (/.f64 (exp.f64 i) 2) -1/2)) |
(+.f64 (/.f64 (exp.f64 i) 2) (+.f64 -1 (/.f64 (exp.f64 i) 2))) |
(+.f64 (/.f64 (exp.f64 i) 2) (/.f64 (+.f64 (exp.f64 i) -2) 2)) |
(+.f64 (+.f64 -1 (/.f64 (exp.f64 i) 2)) (/.f64 (exp.f64 i) 2)) |
(+.f64 -1/2 (/.f64 (+.f64 -1 (*.f64 (exp.f64 i) 2)) 2)) |
(+.f64 (/.f64 (+.f64 (exp.f64 i) -2) 2) (/.f64 (exp.f64 i) 2)) |
(+.f64 (/.f64 (+.f64 -1 (*.f64 (exp.f64 i) 2)) 2) -1/2) |
(*.f64 1 (+.f64 (exp.f64 i) -1)) |
(*.f64 (+.f64 (exp.f64 i) -1) 1) |
(*.f64 (-.f64 (*.f64 (exp.f64 i) 2) 2) 1/2) |
(*.f64 1/2 (-.f64 (*.f64 (exp.f64 i) 2) 2)) |
(*.f64 (*.f64 (+.f64 (exp.f64 i) -1) 4) 1/4) |
(*.f64 1/4 (*.f64 (+.f64 (exp.f64 i) -1) 4)) |
(/.f64 (+.f64 (exp.f64 i) -1) 1) |
(/.f64 (-.f64 (*.f64 (exp.f64 i) 2) 2) 2) |
(/.f64 (*.f64 (+.f64 (exp.f64 i) -1) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 i) -1) 4)) 8) |
(pow.f64 (+.f64 (exp.f64 i) -1) 1) |
| Outputs |
|---|
(*.f64 100 n) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(+.f64 (*.f64 100 n) (*.f64 50 (*.f64 n i))) |
(+.f64 (*.f64 100 n) (*.f64 n (*.f64 i 50))) |
(+.f64 (*.f64 100 n) (*.f64 n (*.f64 50 i))) |
(*.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))) |
(+.f64 (*.f64 100 n) (+.f64 (*.f64 (pow.f64 i 2) (*.f64 n 50/3)) (*.f64 50 (*.f64 n i)))) |
(+.f64 (*.f64 n (*.f64 i 50)) (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2))))) |
(+.f64 (*.f64 100 n) (+.f64 (*.f64 n (*.f64 50 i)) (*.f64 (pow.f64 i 2) (*.f64 n 50/3)))) |
(+.f64 (*.f64 100 n) (*.f64 n (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2))))) |
(+.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 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 100 n) (+.f64 (*.f64 (pow.f64 i 2) (*.f64 n 50/3)) (*.f64 25/6 (*.f64 n (pow.f64 i 3)))))) |
(+.f64 (*.f64 n (*.f64 i 50)) (+.f64 (+.f64 (*.f64 100 n) (*.f64 50/3 (*.f64 n (pow.f64 i 2)))) (*.f64 n (*.f64 (pow.f64 i 3) 25/6)))) |
(+.f64 (*.f64 100 n) (+.f64 (+.f64 (*.f64 (pow.f64 i 2) (*.f64 n 50/3)) (*.f64 (pow.f64 i 3) (*.f64 n 25/6))) (*.f64 n (*.f64 50 i)))) |
(+.f64 (*.f64 n (+.f64 100 (*.f64 50/3 (pow.f64 i 2)))) (*.f64 n (+.f64 (*.f64 50 i) (*.f64 25/6 (pow.f64 i 3))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) (/.f64 100 i)) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (exp.f64 i) -1)) i)) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
i |
(+.f64 i (*.f64 1/2 (pow.f64 i 2))) |
(+.f64 i (*.f64 (pow.f64 i 2) 1/2)) |
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (*.f64 1/2 (pow.f64 i 2)))) |
(+.f64 (*.f64 (pow.f64 i 2) 1/2) (+.f64 i (*.f64 (pow.f64 i 3) 1/6))) |
(+.f64 (*.f64 1/6 (pow.f64 i 3)) (+.f64 i (+.f64 (*.f64 1/24 (pow.f64 i 4)) (*.f64 1/2 (pow.f64 i 2))))) |
(+.f64 (+.f64 (*.f64 (pow.f64 i 2) 1/2) (*.f64 1/24 (pow.f64 i 4))) (+.f64 i (*.f64 (pow.f64 i 3) 1/6))) |
(+.f64 i (+.f64 (+.f64 (*.f64 (pow.f64 i 2) 1/2) (*.f64 1/24 (pow.f64 i 4))) (*.f64 (pow.f64 i 3) 1/6))) |
(+.f64 (*.f64 (pow.f64 i 2) 1/2) (+.f64 (+.f64 i (*.f64 1/24 (pow.f64 i 4))) (*.f64 (pow.f64 i 3) 1/6))) |
(+.f64 i (+.f64 (*.f64 (pow.f64 i 2) 1/2) (+.f64 (*.f64 (pow.f64 i 3) 1/6) (*.f64 1/24 (pow.f64 i 4))))) |
(+.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n))) 0) |
(*.f64 100 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n))) |
(+.f64 0 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n)))) |
(*.f64 100 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n))) |
(+.f64 (/.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 400 (/.f64 i n))) 8) (/.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 400 (/.f64 i n))) 8)) |
(*.f64 100 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n))) |
(-.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n))) 0) |
(*.f64 100 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n))) |
(-.f64 (/.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 400 (/.f64 i n))) 8) (/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n)))) 2)) |
(*.f64 100 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n))) |
(/.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n))) 1) |
(*.f64 100 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n))) |
(/.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 200 (/.f64 i n))) 2) |
(*.f64 100 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n))) |
(/.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 400 (/.f64 i n))) 4) |
(*.f64 100 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n))) |
(/.f64 (*.f64 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n)) 800) 8) |
(*.f64 100 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n))) |
(/.f64 (*.f64 (/.f64 400 (/.f64 i n)) (*.f64 (+.f64 (exp.f64 i) -1) 4)) 16) |
(*.f64 100 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n))) |
(pow.f64 (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 (/.f64 i n))) 1) |
(*.f64 100 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n))) |
(+.f64 (exp.f64 i) -1) |
(+.f64 (+.f64 (exp.f64 i) -1) 0) |
(+.f64 (exp.f64 i) -1) |
(+.f64 0 (+.f64 (exp.f64 i) -1)) |
(+.f64 (exp.f64 i) -1) |
(+.f64 -1 (exp.f64 i)) |
(+.f64 (exp.f64 i) -1) |
(+.f64 (+.f64 (/.f64 (exp.f64 i) 2) -1/2) (+.f64 (/.f64 (exp.f64 i) 2) -1/2)) |
(+.f64 (exp.f64 i) -1) |
(+.f64 (/.f64 (exp.f64 i) 2) (+.f64 -1 (/.f64 (exp.f64 i) 2))) |
(+.f64 (exp.f64 i) -1) |
(+.f64 (/.f64 (exp.f64 i) 2) (/.f64 (+.f64 (exp.f64 i) -2) 2)) |
(+.f64 (exp.f64 i) -1) |
(+.f64 (+.f64 -1 (/.f64 (exp.f64 i) 2)) (/.f64 (exp.f64 i) 2)) |
(+.f64 (exp.f64 i) -1) |
(+.f64 -1/2 (/.f64 (+.f64 -1 (*.f64 (exp.f64 i) 2)) 2)) |
(+.f64 (exp.f64 i) -1) |
(+.f64 (/.f64 (+.f64 (exp.f64 i) -2) 2) (/.f64 (exp.f64 i) 2)) |
(+.f64 (exp.f64 i) -1) |
(+.f64 (/.f64 (+.f64 -1 (*.f64 (exp.f64 i) 2)) 2) -1/2) |
(+.f64 (exp.f64 i) -1) |
(*.f64 1 (+.f64 (exp.f64 i) -1)) |
(+.f64 (exp.f64 i) -1) |
(*.f64 (+.f64 (exp.f64 i) -1) 1) |
(+.f64 (exp.f64 i) -1) |
(*.f64 (-.f64 (*.f64 (exp.f64 i) 2) 2) 1/2) |
(+.f64 (exp.f64 i) -1) |
(*.f64 1/2 (-.f64 (*.f64 (exp.f64 i) 2) 2)) |
(+.f64 (exp.f64 i) -1) |
(*.f64 (*.f64 (+.f64 (exp.f64 i) -1) 4) 1/4) |
(+.f64 (exp.f64 i) -1) |
(*.f64 1/4 (*.f64 (+.f64 (exp.f64 i) -1) 4)) |
(+.f64 (exp.f64 i) -1) |
(/.f64 (+.f64 (exp.f64 i) -1) 1) |
(+.f64 (exp.f64 i) -1) |
(/.f64 (-.f64 (*.f64 (exp.f64 i) 2) 2) 2) |
(+.f64 (exp.f64 i) -1) |
(/.f64 (*.f64 (+.f64 (exp.f64 i) -1) 4) 4) |
(+.f64 (exp.f64 i) -1) |
(/.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 i) -1) 4)) 8) |
(+.f64 (exp.f64 i) -1) |
(pow.f64 (+.f64 (exp.f64 i) -1) 1) |
(+.f64 (exp.f64 i) -1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 100 (/.f64 i n)) | |
| ✓ | 1.0b | (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) -1) |
| ✓ | 11.0b | (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) |
| ✓ | 13.3b | (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) -1) (/.f64 100 (/.f64 i n))) |
Compiled 90 to 49 computations (45.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | i | @ | inf | (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) -1) (/.f64 100 (/.f64 i n))) |
| 29.0ms | n | @ | inf | (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) -1) (/.f64 100 (/.f64 i n))) |
| 15.0ms | n | @ | inf | (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) |
| 5.0ms | n | @ | 0 | (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) -1) (/.f64 100 (/.f64 i n))) |
| 4.0ms | i | @ | -inf | (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) -1) (/.f64 100 (/.f64 i n))) |
| 1× | batch-egg-rewrite |
| 1380× | rational_best-simplify-63 |
| 850× | rational_best-simplify-1 |
| 802× | rational_best-simplify-73 |
| 776× | rational_best-simplify-3 |
| 638× | rational_best-simplify-70 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 159 |
| 1 | 117 | 159 |
| 2 | 272 | 159 |
| 3 | 853 | 159 |
| 4 | 4633 | 159 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) -1) (/.f64 100 (/.f64 i n))) |
(pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) |
(+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n))) 2) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n))) 2) (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 200 (/.f64 i n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 400 (/.f64 i n))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 i n)) 800) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 400 (/.f64 i n)) (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n))) 1))))) |
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| 1× | egg-herbie |
| 1190× | rational_best-simplify-1 |
| 1028× | rational_best-simplify-47 |
| 880× | rational_best-simplify-50 |
| 864× | rational_best-simplify-108 |
| 754× | rational_best-simplify-3 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 490 | 14225 |
| 1 | 1323 | 14085 |
| 2 | 3061 | 13389 |
| 3 | 7694 | 13389 |
| 1× | node limit |
| Inputs |
|---|
(*.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 (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 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.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)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.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 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i))))))) 1)) i)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i))))))) 1)) i))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i))))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/4 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i))))))))) (pow.f64 i 3))))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i))))))) 1)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 n 3) (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/12 (*.f64 n (+.f64 (*.f64 16 (pow.f64 n 3)) (*.f64 -12 (pow.f64 n 3))))))) (*.f64 n (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i))))))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/4 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i))))))))) (pow.f64 i 3)))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) 1)) i)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))))))) (pow.f64 i 2)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) 1)) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (+.f64 (*.f64 1/4 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) 1)) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (+.f64 (*.f64 1/12 (*.f64 n (+.f64 (*.f64 -16 (pow.f64 n 3)) (*.f64 12 (pow.f64 n 3))))) (+.f64 (*.f64 -1/6 (pow.f64 n 6)) (*.f64 -1/4 (*.f64 (pow.f64 n 3) (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))))))) (pow.f64 i 4))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (+.f64 (*.f64 1/4 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))))) |
(*.f64 50 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n)))) i)) |
(+.f64 (*.f64 100 (*.f64 (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2) i))) (pow.f64 n 3))) (*.f64 50 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n)))) i))) |
(+.f64 (*.f64 100 (*.f64 (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2) i))) (pow.f64 n 3))) (+.f64 (*.f64 100 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) (pow.f64 i 2))) (*.f64 1/48 (/.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 3) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))) (pow.f64 n 4))) (*.f64 50 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n)))) i)))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/384 (/.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 4) i)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (+.f64 (*.f64 100 (*.f64 (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2) i))) (pow.f64 n 3))) (+.f64 (*.f64 100 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) (pow.f64 i 2))) (*.f64 1/48 (/.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 3) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))) (pow.f64 n 4))) (*.f64 50 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n)))) i))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) (*.f64 25 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) i))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) (+.f64 (*.f64 25 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 16 (pow.f64 i 3)) (*.f64 -12 (pow.f64 i 3)))) (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2))) (exp.f64 i)) (*.f64 n i))))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (+.f64 (*.f64 96 (pow.f64 i 4)) (+.f64 (*.f64 -96 (pow.f64 i 4)) (*.f64 -12 (pow.f64 i 4))))) (+.f64 (*.f64 1/48 (*.f64 (+.f64 (*.f64 16 (pow.f64 i 3)) (*.f64 -12 (pow.f64 i 3))) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))))) (*.f64 1/384 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 3)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) (+.f64 (*.f64 25 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 16 (pow.f64 i 3)) (*.f64 -12 (pow.f64 i 3)))) (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2))) (exp.f64 i)) (*.f64 n i)))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) (*.f64 25 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) i))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/12 (+.f64 (*.f64 12 (pow.f64 i 3)) (*.f64 -16 (pow.f64 i 3)))) (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2))) (exp.f64 i)) (*.f64 n i))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) (*.f64 25 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) i)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/12 (+.f64 (*.f64 12 (pow.f64 i 3)) (*.f64 -16 (pow.f64 i 3)))) (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2))) (exp.f64 i)) (*.f64 n i))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (*.f64 (+.f64 (*.f64 12 (pow.f64 i 3)) (*.f64 -16 (pow.f64 i 3))) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))))) (+.f64 (*.f64 -1/48 (+.f64 (*.f64 96 (pow.f64 i 4)) (+.f64 (*.f64 -96 (pow.f64 i 4)) (*.f64 -12 (pow.f64 i 4))))) (*.f64 -1/384 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 3)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (*.f64 25 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) i))))) |
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 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) i) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) i) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i))))))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) i) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 n 3) (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/12 (*.f64 n (+.f64 (*.f64 16 (pow.f64 n 3)) (*.f64 -12 (pow.f64 n 3))))))) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) (pow.f64 i 3)) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))))) |
(exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))))))) i) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))))))) i) (+.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (+.f64 (*.f64 1/4 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))))))) i) (+.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (+.f64 (*.f64 1/12 (*.f64 n (+.f64 (*.f64 -16 (pow.f64 n 3)) (*.f64 12 (pow.f64 n 3))))) (+.f64 (*.f64 -1/6 (pow.f64 n 6)) (*.f64 -1/4 (*.f64 (pow.f64 n 3) (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2)))))))) (pow.f64 i 3))) (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (+.f64 (*.f64 1/4 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))))) |
1 |
(+.f64 1 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n)))))) |
(+.f64 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/8 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2)))) (+.f64 1 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))))))) |
(+.f64 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/8 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2)))) (+.f64 1 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/48 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 3)) (*.f64 1/2 (/.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))) (pow.f64 n 3)) (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n)))))))) |
(exp.f64 i) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (exp.f64 i)) |
(+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2)) (*.f64 1/12 (+.f64 (*.f64 16 (pow.f64 i 3)) (*.f64 -12 (pow.f64 i 3)))))) (pow.f64 n 2)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (exp.f64 i))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (+.f64 (*.f64 96 (pow.f64 i 4)) (+.f64 (*.f64 -96 (pow.f64 i 4)) (*.f64 -12 (pow.f64 i 4))))) (+.f64 (*.f64 1/48 (*.f64 (+.f64 (*.f64 16 (pow.f64 i 3)) (*.f64 -12 (pow.f64 i 3))) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))))) (*.f64 1/384 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 3)))) (exp.f64 i)) (pow.f64 n 3)) (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2)) (*.f64 1/12 (+.f64 (*.f64 16 (pow.f64 i 3)) (*.f64 -12 (pow.f64 i 3)))))) (pow.f64 n 2)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (exp.f64 i)))) |
(exp.f64 i) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (exp.f64 i)) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/12 (+.f64 (*.f64 -16 (pow.f64 i 3)) (*.f64 12 (pow.f64 i 3)))) (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2))) (exp.f64 i)) (pow.f64 n 2)) (exp.f64 i))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/12 (+.f64 (*.f64 -16 (pow.f64 i 3)) (*.f64 12 (pow.f64 i 3)))) (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (exp.f64 i) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (+.f64 (*.f64 96 (pow.f64 i 4)) (+.f64 (*.f64 -96 (pow.f64 i 4)) (*.f64 -12 (pow.f64 i 4))))) (+.f64 (*.f64 1/48 (*.f64 (+.f64 (*.f64 -16 (pow.f64 i 3)) (*.f64 12 (pow.f64 i 3))) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))))) (*.f64 -1/384 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 3)))) (exp.f64 i)) (pow.f64 n 3)))))) |
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 (*.f64 (-.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)))) (pow.f64 i 4)) (*.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 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i))))))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) i) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) i) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i))))))))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) i) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 n 3) (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/12 (*.f64 n (+.f64 (*.f64 16 (pow.f64 n 3)) (*.f64 -12 (pow.f64 n 3))))))) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))) (pow.f64 i 3)) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 1 i)))))))))) 1) |
(-.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))))))) i) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))))))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))))))) i) (+.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (+.f64 (*.f64 1/4 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))))))) i) (+.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (+.f64 (*.f64 1/12 (*.f64 n (+.f64 (*.f64 -16 (pow.f64 n 3)) (*.f64 12 (pow.f64 n 3))))) (+.f64 (*.f64 -1/6 (pow.f64 n 6)) (*.f64 -1/4 (*.f64 (pow.f64 n 3) (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2)))))))) (pow.f64 i 3))) (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (+.f64 (*.f64 1/4 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))))) 1) |
(*.f64 1/2 (*.f64 n (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))))) |
(+.f64 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/8 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2)))) (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n)))))) |
(+.f64 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/8 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/48 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 3)) (*.f64 1/2 (/.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))) (pow.f64 n 3)) (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))))))) |
(+.f64 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/8 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2)))) (+.f64 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2) i)) (+.f64 (*.f64 1/384 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 4)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 2))) (*.f64 -1/4 (/.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) (pow.f64 i 2)))))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/48 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 3)) (*.f64 1/2 (/.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))) (pow.f64 n 3)) (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n)))))))) |
(-.f64 (exp.f64 i) 1) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (exp.f64 i)) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 16 (pow.f64 i 3)) (*.f64 -12 (pow.f64 i 3)))) (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (exp.f64 i))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 16 (pow.f64 i 3)) (*.f64 -12 (pow.f64 i 3)))) (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (+.f64 (*.f64 96 (pow.f64 i 4)) (+.f64 (*.f64 -96 (pow.f64 i 4)) (*.f64 -12 (pow.f64 i 4))))) (+.f64 (*.f64 1/48 (*.f64 (+.f64 (*.f64 16 (pow.f64 i 3)) (*.f64 -12 (pow.f64 i 3))) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))))) (*.f64 1/384 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 3)))) (exp.f64 i)) (pow.f64 n 3)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (exp.f64 i)))) 1) |
(-.f64 (exp.f64 i) 1) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (exp.f64 i)) 1) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (+.f64 (exp.f64 i) (/.f64 (*.f64 (+.f64 (*.f64 -1/12 (+.f64 (*.f64 12 (pow.f64 i 3)) (*.f64 -16 (pow.f64 i 3)))) (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2))) (exp.f64 i)) (pow.f64 n 2)))) 1) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (*.f64 (+.f64 (*.f64 12 (pow.f64 i 3)) (*.f64 -16 (pow.f64 i 3))) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))))) (+.f64 (*.f64 -1/48 (+.f64 (*.f64 96 (pow.f64 i 4)) (+.f64 (*.f64 -96 (pow.f64 i 4)) (*.f64 -12 (pow.f64 i 4))))) (*.f64 -1/384 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 3)))) (exp.f64 i)) (pow.f64 n 3))) (+.f64 (exp.f64 i) (/.f64 (*.f64 (+.f64 (*.f64 -1/12 (+.f64 (*.f64 12 (pow.f64 i 3)) (*.f64 -16 (pow.f64 i 3)))) (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2))) (exp.f64 i)) (pow.f64 n 2))))) 1) |
(+.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n))) 0) |
(+.f64 0 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n)))) |
(+.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n))) 2) (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n))) 2)) |
(-.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n))) 0) |
(-.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n))) 2) (/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n)))) 2)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n))) 1) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 200 (/.f64 i n))) 2) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 400 (/.f64 i n))) 4) |
(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 i n)) 800) 8) |
(/.f64 (*.f64 (/.f64 400 (/.f64 i n)) (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) 4)) 16) |
(pow.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) (/.f64 100 (/.f64 i n))) 1) |
(+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) 0) |
(+.f64 0 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) 2) (/.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) 2)) |
(+.f64 (fabs.f64 (/.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) 2)) (fabs.f64 (/.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) 2))) |
(-.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) 0) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) 2) (/.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) 2)) |
(*.f64 1 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) |
(*.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) 1) |
(*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 1/2)) (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 1/2))) |
(*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 1/2)) (-.f64 0 (neg.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 1/2))))) |
(*.f64 (*.f64 2 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) 1/2) |
(*.f64 1/2 (*.f64 2 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)))) |
(*.f64 1/4 (*.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) 4)) |
(*.f64 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 1/2))) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 1/2)) 2)) |
(*.f64 (*.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) 4) 1/4) |
(*.f64 (neg.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 1/2))) (neg.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 1/2)))) |
(*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (/.f64 n 4)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 1/2)) (pow.f64 (+.f64 1 (/.f64 i n)) (/.f64 n 4)))) |
(*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 1/2)) (pow.f64 (+.f64 1 (/.f64 i n)) (/.f64 n 4))) (pow.f64 (+.f64 1 (/.f64 i n)) (/.f64 n 4))) |
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 1/2)) 2) (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 1/2)))) |
(*.f64 (pow.f64 (*.f64 (-.f64 -1 (/.f64 i n)) (*.f64 2 (-.f64 -1 (/.f64 i n)))) (*.f64 n 1/2)) (pow.f64 1/2 (*.f64 n 1/2))) |
(*.f64 (pow.f64 1/2 (*.f64 n 1/2)) (pow.f64 (*.f64 (-.f64 -1 (/.f64 i n)) (*.f64 2 (-.f64 -1 (/.f64 i n)))) (*.f64 n 1/2))) |
(*.f64 (pow.f64 (-.f64 (*.f64 i (/.f64 2 n)) -2) (*.f64 n 1/2)) (pow.f64 (+.f64 (/.f64 i (+.f64 n n)) 1/2) (*.f64 n 1/2))) |
(*.f64 (pow.f64 (+.f64 (/.f64 i (+.f64 n n)) 1/2) (*.f64 n 1/2)) (pow.f64 (-.f64 (*.f64 i (/.f64 2 n)) -2) (*.f64 n 1/2))) |
(/.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) 1) |
(/.f64 (*.f64 2 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) 2) |
(/.f64 (*.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) 4)) 8) |
(/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 1/2)) (neg.f64 (pow.f64 (+.f64 1 (/.f64 i n)) (*.f64 n 1/2)))) -1) |
(fabs.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) |
(fabs.f64 (neg.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)))) |
(-.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) 1) |
(-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) 0) |
(-.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) 2) -1/2) (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1)) 2)) |
(*.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1)) |
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) 1) |
(*.f64 (-.f64 (*.f64 2 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) 2) 1/2) |
(*.f64 1/2 (-.f64 (*.f64 2 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) 2)) |
(*.f64 1/4 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) 4)) |
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) 4) 1/4) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) 1) |
(/.f64 (-.f64 (*.f64 2 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) 2) 2) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) 4) 4) |
(/.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) 2) 4) 8) |
(pow.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) 1) |
| Outputs |
|---|
(*.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 n) (*.f64 100 (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (*.f64 n i)))) |
(*.f64 100 (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) n)) |
(*.f64 100 (+.f64 n (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (*.f64 n i)))) |
(+.f64 (*.f64 100 (*.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 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n))) |
(+.f64 (*.f64 100 n) (+.f64 (*.f64 100 (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (*.f64 n i))) (*.f64 100 (*.f64 (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))) (*.f64 (pow.f64 i 2) n))))) |
(+.f64 (*.f64 100 n) (*.f64 (*.f64 100 n) (+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (*.f64 100 n) (*.f64 (*.f64 100 n) (+.f64 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (*.f64 (pow.f64 i 2) (-.f64 (/.f64 1/3 (pow.f64 n 2)) (+.f64 (/.f64 1/2 n) -1/6)))))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 (-.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)))) (pow.f64 i 3)))) (+.f64 (*.f64 100 (*.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 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)))) |
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1 |
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(exp.f64 (*.f64 n (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) 1/2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))))))) i) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))))))) |
(+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2))) (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2)))) i)) |
(+.f64 (exp.f64 (*.f64 n (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) 1/2))) (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) 1/2)))) i)) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))))))) i) (+.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (+.f64 (*.f64 1/4 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2)))) i) (+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2))) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 n 2) -2) (*.f64 n 1/4)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2)))) (pow.f64 i 2)))) |
(+.f64 (exp.f64 (*.f64 n (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) 1/2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 n (*.f64 (*.f64 (pow.f64 n 2) -2) 1/4)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) 1/2)))) (pow.f64 i 2)) (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) 1/2)))) i))) |
(+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2))) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2)))) i) (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 n (pow.f64 n 2)) -1/2) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2)))) (pow.f64 i 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))))))) i) (+.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (+.f64 (*.f64 1/12 (*.f64 n (+.f64 (*.f64 -16 (pow.f64 n 3)) (*.f64 12 (pow.f64 n 3))))) (+.f64 (*.f64 -1/6 (pow.f64 n 6)) (*.f64 -1/4 (*.f64 (pow.f64 n 3) (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2)))))))) (pow.f64 i 3))) (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i))))))) (+.f64 (*.f64 1/4 (*.f64 n (+.f64 (*.f64 2 (pow.f64 n 2)) (*.f64 -4 (pow.f64 n 2))))) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))))) |
(+.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 n 2) -2) (*.f64 n 1/4)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2)))) (pow.f64 i 2)) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2))) (+.f64 (*.f64 (*.f64 (pow.f64 n 2) -2) (*.f64 (pow.f64 n 3) -1/4)) (+.f64 (*.f64 (pow.f64 n 6) -1/6) (*.f64 (*.f64 (pow.f64 n 3) -4) (*.f64 n 1/12))))) (/.f64 -1 (pow.f64 i 3)))) (+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2))) (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2)))) i))) |
(+.f64 (exp.f64 (*.f64 n (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) 1/2))) (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 n (*.f64 (*.f64 (pow.f64 n 2) -2) 1/4)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) 1/2)))) (pow.f64 i 2)) (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) 1/2))) (+.f64 (*.f64 1/12 (*.f64 n (*.f64 (pow.f64 n 3) -4))) (+.f64 (*.f64 (pow.f64 n 6) -1/6) (*.f64 (*.f64 (pow.f64 n 2) -2) (*.f64 (pow.f64 n 3) -1/4))))) (pow.f64 i 3)))) (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) 1/2)))) i))) |
(+.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2))) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2)))) i) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 n (pow.f64 n 2)) -1/2) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2)))) (pow.f64 i 2)) (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 (/.f64 1 (pow.f64 n 2))) (*.f64 -2 (log.f64 (/.f64 -1 i)))) (*.f64 n 1/2))) (+.f64 (*.f64 (*.f64 (pow.f64 n 2) (pow.f64 n 3)) 1/2) (+.f64 (*.f64 (*.f64 n (pow.f64 n 3)) -1/3) (*.f64 (pow.f64 n 6) -1/6)))) (pow.f64 i 3)))))) |
1 |
(+.f64 1 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n)))))) |
(+.f64 1 (*.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) (*.f64 n 1/2))) |
(+.f64 1 (*.f64 n (*.f64 1/2 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n)))))) |
(+.f64 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/8 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2)))) (+.f64 1 (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))))))) |
(+.f64 (+.f64 1 (*.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) (*.f64 n 1/2))) (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/8 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2))))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) (*.f64 n 1/2)) (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/8 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2)))))) |
(+.f64 1 (+.f64 (*.f64 n (*.f64 1/2 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))))) (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/8 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2)))))) |
(+.f64 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/8 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2)))) (+.f64 1 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/48 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 3)) (*.f64 1/2 (/.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))) (pow.f64 n 3)) (*.f64 1/2 (*.f64 n (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n)))))))) |
(+.f64 (+.f64 (*.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) (*.f64 n 1/2)) (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/48 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 3)) (*.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) (/.f64 1/2 i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (+.f64 1 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/8 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2)))))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) (*.f64 n 1/2)) (+.f64 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/8 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2)))) (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/48 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 3)) (*.f64 1/2 (/.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) |
(+.f64 1 (+.f64 (*.f64 n (*.f64 1/2 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))))) (+.f64 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 1 i) (*.f64 1/8 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 2)))) (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/48 (pow.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) 3)) (*.f64 1/2 (/.f64 (+.f64 (log.f64 (pow.f64 i 2)) (*.f64 -2 (log.f64 n))) i))) (/.f64 1/2 (pow.f64 i 2))))))) |
(exp.f64 i) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (exp.f64 i)) |
(+.f64 (exp.f64 i) (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (*.f64 (pow.f64 i 2) -2)) n))) |
(+.f64 (exp.f64 i) (*.f64 (/.f64 1/4 n) (*.f64 (pow.f64 i 2) (*.f64 -2 (exp.f64 i))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2)) (*.f64 1/12 (+.f64 (*.f64 16 (pow.f64 i 3)) (*.f64 -12 (pow.f64 i 3)))))) (pow.f64 n 2)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (exp.f64 i))) |
(+.f64 (+.f64 (exp.f64 i) (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (*.f64 (pow.f64 i 2) -2)) n))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 i 3) 4)) (*.f64 1/32 (pow.f64 (*.f64 (pow.f64 i 2) -2) 2)))) (pow.f64 n 2))) |
(+.f64 (exp.f64 i) (+.f64 (*.f64 (/.f64 1/4 n) (*.f64 (pow.f64 i 2) (*.f64 -2 (exp.f64 i)))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 4 (*.f64 (pow.f64 i 4) 1/32)) (*.f64 (pow.f64 i 3) 1/3))) (pow.f64 n 2)))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (+.f64 (*.f64 96 (pow.f64 i 4)) (+.f64 (*.f64 -96 (pow.f64 i 4)) (*.f64 -12 (pow.f64 i 4))))) (+.f64 (*.f64 1/48 (*.f64 (+.f64 (*.f64 16 (pow.f64 i 3)) (*.f64 -12 (pow.f64 i 3))) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))))) (*.f64 1/384 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 3)))) (exp.f64 i)) (pow.f64 n 3)) (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2)) (*.f64 1/12 (+.f64 (*.f64 16 (pow.f64 i 3)) (*.f64 -12 (pow.f64 i 3)))))) (pow.f64 n 2)) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (exp.f64 i)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (+.f64 (*.f64 (pow.f64 i 4) 96) (*.f64 (pow.f64 i 4) -108))) (+.f64 (*.f64 1/48 (*.f64 (*.f64 (pow.f64 i 2) -2) (*.f64 (pow.f64 i 3) 4))) (*.f64 1/384 (pow.f64 (*.f64 (pow.f64 i 2) -2) 3))))) (pow.f64 n 3)) (+.f64 (+.f64 (exp.f64 i) (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (*.f64 (pow.f64 i 2) -2)) n))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 i 3) 4)) (*.f64 1/32 (pow.f64 (*.f64 (pow.f64 i 2) -2) 2)))) (pow.f64 n 2)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/384 (pow.f64 (*.f64 (pow.f64 i 2) -2) 3)) (*.f64 1/48 (+.f64 (*.f64 -2 (*.f64 (pow.f64 i 2) (*.f64 (pow.f64 i 3) 4))) (+.f64 (*.f64 (pow.f64 i 4) 96) (*.f64 (pow.f64 i 4) -108)))))) (pow.f64 n 3)) (+.f64 (+.f64 (exp.f64 i) (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (*.f64 (pow.f64 i 2) -2)) n))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 i 3) 4)) (*.f64 1/32 (pow.f64 (*.f64 (pow.f64 i 2) -2) 2)))) (pow.f64 n 2)))) |
(+.f64 (exp.f64 i) (+.f64 (+.f64 (*.f64 (/.f64 1/4 n) (*.f64 (pow.f64 i 2) (*.f64 -2 (exp.f64 i)))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (*.f64 -12 (pow.f64 i 4))) (+.f64 (*.f64 (*.f64 (pow.f64 i 3) (*.f64 (pow.f64 i 2) -2)) 1/12) (*.f64 1/384 (*.f64 (pow.f64 i 6) -8))))) (pow.f64 n 3))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 4 (*.f64 (pow.f64 i 4) 1/32)) (*.f64 (pow.f64 i 3) 1/3))) (pow.f64 n 2)))) |
(exp.f64 i) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (exp.f64 i)) |
(+.f64 (exp.f64 i) (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (*.f64 (pow.f64 i 2) -2)) n))) |
(+.f64 (exp.f64 i) (*.f64 (/.f64 1/4 n) (*.f64 (pow.f64 i 2) (*.f64 -2 (exp.f64 i))))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/12 (+.f64 (*.f64 -16 (pow.f64 i 3)) (*.f64 12 (pow.f64 i 3)))) (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2))) (exp.f64 i)) (pow.f64 n 2)) (exp.f64 i))) |
(+.f64 (+.f64 (exp.f64 i) (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (*.f64 (pow.f64 i 2) -2)) n))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 i 3) 4)) (*.f64 1/32 (pow.f64 (*.f64 (pow.f64 i 2) -2) 2)))) (pow.f64 n 2))) |
(+.f64 (exp.f64 i) (+.f64 (*.f64 (/.f64 1/4 n) (*.f64 (pow.f64 i 2) (*.f64 -2 (exp.f64 i)))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 4 (*.f64 (pow.f64 i 4) 1/32)) (*.f64 (pow.f64 i 3) 1/3))) (pow.f64 n 2)))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2)))) n)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/12 (+.f64 (*.f64 -16 (pow.f64 i 3)) (*.f64 12 (pow.f64 i 3)))) (*.f64 1/32 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 2))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (exp.f64 i) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (+.f64 (*.f64 96 (pow.f64 i 4)) (+.f64 (*.f64 -96 (pow.f64 i 4)) (*.f64 -12 (pow.f64 i 4))))) (+.f64 (*.f64 1/48 (*.f64 (+.f64 (*.f64 -16 (pow.f64 i 3)) (*.f64 12 (pow.f64 i 3))) (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))))) (*.f64 -1/384 (pow.f64 (+.f64 (*.f64 -4 (pow.f64 i 2)) (*.f64 2 (pow.f64 i 2))) 3)))) (exp.f64 i)) (pow.f64 n 3)))))) |
(+.f64 (*.f64 1/4 (/.f64 (*.f64 (exp.f64 i) (*.f64 (pow.f64 i 2) -2)) n)) (+.f64 (*.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 i 4) 96) (*.f64 (pow.f64 i 4) -108)) -1/48) (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 i 2) -2) 3) -1/384) (*.f64 (*.f64 (pow.f64 i 2) -2) (*.f64 (*.f64 (pow.f64 i 3) -4) 1/48))))) (/.f64 -1 (pow.f64 n 3))) (+.f64 (exp.f64 i) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/32 (pow.f64 (*.f64 (pow.f64 i 2) -2) 2)) (*.f64 -1/12 (*.f64 (pow.f64 i 3) -4)))) (pow.f64 n 2))))) |
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i |
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(+.f64 -1 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) |
(*.f64 1/2 (-.f64 (*.f64 2 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) 2)) |
(+.f64 -1 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) |
(*.f64 1/4 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) 4)) |
(+.f64 -1 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) |
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) 4) 1/4) |
(+.f64 -1 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) 1) |
(+.f64 -1 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) |
(/.f64 (-.f64 (*.f64 2 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) 2) 2) |
(+.f64 -1 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) 4) 4) |
(+.f64 -1 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) |
(/.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) 2) 4) 8) |
(+.f64 -1 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) |
(pow.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2)) -1) 1) |
(+.f64 -1 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (*.f64 n 1/2))) |
Compiled 23868 to 17479 computations (26.8% saved)
29 alts after pruning (23 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 699 | 14 | 713 |
| Fresh | 5 | 9 | 14 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 705 | 29 | 734 |
| Status | Error | Program |
|---|---|---|
| 30.4b | (/.f64 (*.f64 (+.f64 2 (-.f64 i (/.f64 i n))) (*.f64 n 400)) 8) | |
| ▶ | 30.4b | (/.f64 (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) 8) |
| 58.8b | (+.f64 (*.f64 (exp.f64 i) (*.f64 i -50)) (*.f64 (/.f64 100 i) (+.f64 (*.f64 n (+.f64 -1 (exp.f64 i))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 (pow.f64 i 4) 1/8))) n)))) | |
| 55.7b | (*.f64 (pow.f64 n 2) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) (/.f64 100 i))) | |
| ✓ | 47.0b | (*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
| 47.1b | (*.f64 (-.f64 (exp.f64 i) 1) (*.f64 100 (/.f64 n i))) | |
| ✓ | 47.3b | (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
| ✓ | 51.3b | (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) -1) (/.f64 100 (/.f64 i n))) |
| 30.1b | (*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100)) | |
| ▶ | 52.3b | (*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
| 55.7b | (*.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (/.f64 100 (/.f64 i n))) | |
| 30.1b | (*.f64 n (+.f64 100 (*.f64 50 i))) | |
| 46.8b | (*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) | |
| ✓ | 29.5b | (*.f64 n 100) |
| 38.9b | (*.f64 i (/.f64 100 (/.f64 i n))) | |
| ▶ | 62.1b | (*.f64 i -50) |
| ✓ | 47.3b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 55.7b | (*.f64 100 (/.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (/.f64 i n))) | |
| ✓ | 37.6b | (*.f64 100 (/.f64 i (/.f64 i n))) |
| ▶ | 29.5b | (*.f64 100 (/.f64 2 (/.f64 2 n))) |
| ▶ | 47.3b | (*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 1 (/.f64 i n)))) |
| 41.9b | (*.f64 100 (-.f64 (/.f64 2 (/.f64 1 n)) (/.f64 i (/.f64 i n)))) | |
| 49.1b | (*.f64 100 (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))) | |
| 47.8b | (*.f64 100 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n)))) (/.f64 -1 (/.f64 i n)))) | |
| 29.8b | (*.f64 100 (+.f64 n (*.f64 -1/2 i))) | |
| 45.1b | (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) | |
| 43.3b | (*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))))) | |
| 38.8b | (*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) i)) | |
| 37.8b | (*.f64 100 (*.f64 1/2 (/.f64 (-.f64 (*.f64 i 3) i) (/.f64 i n)))) |
Compiled 767 to 539 computations (29.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 100 (/.f64 2 (/.f64 2 n))) |
| ✓ | 0.1b | (/.f64 2 (/.f64 2 n)) |
Compiled 20 to 16 computations (20% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | -inf | (*.f64 100 (/.f64 2 (/.f64 2 n))) |
| 0.0ms | n | @ | inf | (*.f64 100 (/.f64 2 (/.f64 2 n))) |
| 0.0ms | n | @ | 0 | (*.f64 100 (/.f64 2 (/.f64 2 n))) |
| 0.0ms | n | @ | 0 | (/.f64 2 (/.f64 2 n)) |
| 0.0ms | n | @ | inf | (/.f64 2 (/.f64 2 n)) |
| 1× | batch-egg-rewrite |
| 1612× | rational_best-4 |
| 1612× | rational_best-2 |
| 1612× | rational_best-3 |
| 1612× | rational_best-1 |
| 418× | rational_best-simplify-55 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 1 | 59 | 32 |
| 2 | 134 | 32 |
| 3 | 339 | 26 |
| 4 | 1175 | 26 |
| 5 | 5390 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 2 (/.f64 2 n)) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (/.f64 2 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (/.f64 8 n)) (+.f64 (/.f64 2 (/.f64 8 n)) (/.f64 2 (/.f64 4 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (/.f64 8 n)) (/.f64 (/.f64 6 (/.f64 4 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (/.f64 8 n)) (/.f64 (/.f64 6 (/.f64 2 n)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (/.f64 4 n)) (/.f64 2 (/.f64 4 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (/.f64 2 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (/.f64 4 n)) (neg.f64 (/.f64 2 (/.f64 4 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 2 (/.f64 8 n)) (/.f64 2 (/.f64 4 n))) (-.f64 0 (/.f64 2 (/.f64 8 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 6 (/.f64 4 n)) 2) (/.f64 (neg.f64 (/.f64 2 (/.f64 4 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 6 (/.f64 2 n)) 4) (/.f64 (/.f64 1 (/.f64 -1 n)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 2 (/.f64 4 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 2 (/.f64 2 n)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 2 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 2 (/.f64 8 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 2 (/.f64 4 n)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 2 (/.f64 16 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (/.f64 2 (/.f64 8 n)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 1 n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 8 n)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 16 n)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (/.f64 1 (/.f64 16 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (*.f64 (/.f64 2 (/.f64 16 n)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1/4 n)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 4 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 1 (/.f64 1/4 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (/.f64 4 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (/.f64 2 (/.f64 1/4 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 16 n)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 32 (/.f64 1 (/.f64 32 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 32 (/.f64 1/2 (/.f64 16 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 16 (/.f64 2 n)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (/.f64 2 n)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 100 (/.f64 1 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 100 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 100 (/.f64 2 n)) (/.f64 100 (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 100 (/.f64 4 n)) (+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 100 (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 100 (/.f64 4 n)) (/.f64 (/.f64 300 (/.f64 2 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 100 (/.f64 4 n)) (/.f64 (*.f64 2 (/.f64 300 (/.f64 2 n))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 100 (/.f64 1 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 100 (/.f64 2 n)) (neg.f64 (/.f64 100 (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 100 (/.f64 2 n))) (-.f64 0 (/.f64 100 (/.f64 4 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 300 (/.f64 2 n)) 2) (/.f64 (neg.f64 (/.f64 100 (/.f64 2 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 2 (/.f64 300 (/.f64 2 n))) 4) (/.f64 (/.f64 200 (/.f64 -2 n)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 100 (/.f64 1 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 100 (/.f64 2 n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 100 (/.f64 4 n)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 400 (/.f64 2 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 200 (/.f64 2 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 50 (/.f64 1/2 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 (/.f64 2 n)) 400) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 400 (/.f64 4 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 800 (/.f64 8 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 25 (/.f64 1/4 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 25/2 (/.f64 1/2 (*.f64 n 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 100 (/.f64 2 n)) 16) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -200 (/.f64 -2 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1600 (/.f64 16 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 200 (/.f64 1/2 n)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 200 (/.f64 1/4 n)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 200 (/.f64 1 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 400 (/.f64 1/2 n)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 400 (/.f64 1/4 n)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 400 (/.f64 1 n)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 800 (/.f64 2 n)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 800 (/.f64 1/2 n)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 800 (/.f64 1 n)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (/.f64 100 (/.f64 2 n)) 16) (*.f64 (/.f64 100 (/.f64 2 n)) 16)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 100 (/.f64 1 n)) 1))))) |
| 1× | egg-herbie |
| 1158× | rational_best-simplify-64 |
| 1012× | rational_best-simplify-63 |
| 838× | rational_best-simplify-65 |
| 816× | rational_best-simplify-1 |
| 696× | rational_best-simplify-53 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 1032 |
| 1 | 441 | 1032 |
| 2 | 1055 | 1032 |
| 3 | 3277 | 1032 |
| 1× | node limit |
| Inputs |
|---|
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
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) |
(*.f64 100 n) |
(+.f64 (/.f64 2 (/.f64 2 n)) 0) |
(+.f64 0 (/.f64 2 (/.f64 2 n))) |
(+.f64 (/.f64 2 (/.f64 8 n)) (+.f64 (/.f64 2 (/.f64 8 n)) (/.f64 2 (/.f64 4 n)))) |
(+.f64 (/.f64 2 (/.f64 8 n)) (/.f64 (/.f64 6 (/.f64 4 n)) 2)) |
(+.f64 (/.f64 2 (/.f64 8 n)) (/.f64 (/.f64 6 (/.f64 2 n)) 4)) |
(+.f64 (/.f64 2 (/.f64 4 n)) (/.f64 2 (/.f64 4 n))) |
(-.f64 (/.f64 2 (/.f64 2 n)) 0) |
(-.f64 (/.f64 2 (/.f64 4 n)) (neg.f64 (/.f64 2 (/.f64 4 n)))) |
(-.f64 (+.f64 (/.f64 2 (/.f64 8 n)) (/.f64 2 (/.f64 4 n))) (-.f64 0 (/.f64 2 (/.f64 8 n)))) |
(-.f64 (/.f64 (/.f64 6 (/.f64 4 n)) 2) (/.f64 (neg.f64 (/.f64 2 (/.f64 4 n))) 2)) |
(-.f64 (/.f64 (/.f64 6 (/.f64 2 n)) 4) (/.f64 (/.f64 1 (/.f64 -1 n)) 4)) |
(*.f64 2 (/.f64 2 (/.f64 4 n))) |
(*.f64 2 (*.f64 (/.f64 2 (/.f64 2 n)) 1/2)) |
(*.f64 (/.f64 2 (/.f64 2 n)) 1) |
(*.f64 1 (/.f64 2 (/.f64 2 n))) |
(*.f64 4 (/.f64 2 (/.f64 8 n))) |
(*.f64 4 (*.f64 (/.f64 2 (/.f64 4 n)) 1/2)) |
(*.f64 8 (/.f64 2 (/.f64 16 n))) |
(*.f64 8 (*.f64 (/.f64 2 (/.f64 8 n)) 1/2)) |
(*.f64 (/.f64 2 (/.f64 1 n)) 1/2) |
(*.f64 1/2 (/.f64 2 (/.f64 1 n))) |
(*.f64 (/.f64 2 (/.f64 8 n)) 4) |
(*.f64 (/.f64 2 (/.f64 16 n)) 8) |
(*.f64 16 (/.f64 1 (/.f64 16 n))) |
(*.f64 16 (*.f64 (/.f64 2 (/.f64 16 n)) 1/2)) |
(*.f64 (/.f64 1 (/.f64 1/4 n)) 1/4) |
(*.f64 (/.f64 2 (/.f64 4 n)) 2) |
(*.f64 1/4 (/.f64 1 (/.f64 1/4 n))) |
(*.f64 1/8 (/.f64 4 (/.f64 1/2 n))) |
(*.f64 1/8 (/.f64 2 (/.f64 1/4 n))) |
(*.f64 (/.f64 1 (/.f64 16 n)) 16) |
(*.f64 32 (/.f64 1 (/.f64 32 n))) |
(*.f64 32 (/.f64 1/2 (/.f64 16 n))) |
(*.f64 (/.f64 16 (/.f64 2 n)) 1/8) |
(pow.f64 (/.f64 2 (/.f64 2 n)) 1) |
(+.f64 (/.f64 100 (/.f64 1 n)) 0) |
(+.f64 0 (/.f64 100 (/.f64 1 n))) |
(+.f64 (/.f64 100 (/.f64 2 n)) (/.f64 100 (/.f64 2 n))) |
(+.f64 (/.f64 100 (/.f64 4 n)) (+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 100 (/.f64 2 n)))) |
(+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 (/.f64 300 (/.f64 2 n)) 2)) |
(+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 (*.f64 2 (/.f64 300 (/.f64 2 n))) 4)) |
(-.f64 (/.f64 100 (/.f64 1 n)) 0) |
(-.f64 (/.f64 100 (/.f64 2 n)) (neg.f64 (/.f64 100 (/.f64 2 n)))) |
(-.f64 (+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 100 (/.f64 2 n))) (-.f64 0 (/.f64 100 (/.f64 4 n)))) |
(-.f64 (/.f64 (/.f64 300 (/.f64 2 n)) 2) (/.f64 (neg.f64 (/.f64 100 (/.f64 2 n))) 2)) |
(-.f64 (/.f64 (*.f64 2 (/.f64 300 (/.f64 2 n))) 4) (/.f64 (/.f64 200 (/.f64 -2 n)) 4)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 (/.f64 100 (/.f64 1 n)) 1) |
(/.f64 (/.f64 100 (/.f64 2 n)) 1/2) |
(/.f64 (/.f64 100 (/.f64 4 n)) 1/4) |
(/.f64 (/.f64 400 (/.f64 2 n)) 2) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 50 (/.f64 1/2 n)) |
(/.f64 (*.f64 (/.f64 2 (/.f64 2 n)) 400) 4) |
(/.f64 400 (/.f64 4 n)) |
(/.f64 800 (/.f64 8 n)) |
(/.f64 25 (/.f64 1/4 n)) |
(/.f64 25/2 (/.f64 1/2 (*.f64 n 4))) |
(/.f64 (*.f64 (/.f64 100 (/.f64 2 n)) 16) 8) |
(/.f64 -200 (/.f64 -2 n)) |
(/.f64 1600 (/.f64 16 n)) |
(/.f64 (/.f64 200 (/.f64 1/2 n)) 4) |
(/.f64 (/.f64 200 (/.f64 1/4 n)) 8) |
(/.f64 (/.f64 200 (/.f64 1 n)) 2) |
(/.f64 (/.f64 400 (/.f64 1/2 n)) 8) |
(/.f64 (/.f64 400 (/.f64 1/4 n)) 16) |
(/.f64 (/.f64 400 (/.f64 1 n)) 4) |
(/.f64 (/.f64 800 (/.f64 2 n)) 4) |
(/.f64 (/.f64 800 (/.f64 1/2 n)) 16) |
(/.f64 (/.f64 800 (/.f64 1 n)) 8) |
(/.f64 (+.f64 (*.f64 (/.f64 100 (/.f64 2 n)) 16) (*.f64 (/.f64 100 (/.f64 2 n)) 16)) 16) |
(pow.f64 (/.f64 100 (/.f64 1 n)) 1) |
| Outputs |
|---|
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
n |
(*.f64 100 n) |
(*.f64 n 100) |
(*.f64 100 n) |
(*.f64 n 100) |
(*.f64 100 n) |
(*.f64 n 100) |
(*.f64 100 n) |
(*.f64 n 100) |
(*.f64 100 n) |
(*.f64 n 100) |
(*.f64 100 n) |
(*.f64 n 100) |
(*.f64 100 n) |
(*.f64 n 100) |
(*.f64 100 n) |
(*.f64 n 100) |
(*.f64 100 n) |
(*.f64 n 100) |
(*.f64 100 n) |
(*.f64 n 100) |
(*.f64 100 n) |
(*.f64 n 100) |
(*.f64 100 n) |
(*.f64 n 100) |
(+.f64 (/.f64 2 (/.f64 2 n)) 0) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(+.f64 0 (/.f64 2 (/.f64 2 n))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(+.f64 (/.f64 2 (/.f64 8 n)) (+.f64 (/.f64 2 (/.f64 8 n)) (/.f64 2 (/.f64 4 n)))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(+.f64 (/.f64 2 (/.f64 8 n)) (/.f64 (/.f64 6 (/.f64 4 n)) 2)) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(+.f64 (/.f64 2 (/.f64 8 n)) (/.f64 (/.f64 6 (/.f64 2 n)) 4)) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(+.f64 (/.f64 2 (/.f64 4 n)) (/.f64 2 (/.f64 4 n))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(-.f64 (/.f64 2 (/.f64 2 n)) 0) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(-.f64 (/.f64 2 (/.f64 4 n)) (neg.f64 (/.f64 2 (/.f64 4 n)))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(-.f64 (+.f64 (/.f64 2 (/.f64 8 n)) (/.f64 2 (/.f64 4 n))) (-.f64 0 (/.f64 2 (/.f64 8 n)))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(-.f64 (/.f64 (/.f64 6 (/.f64 4 n)) 2) (/.f64 (neg.f64 (/.f64 2 (/.f64 4 n))) 2)) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(-.f64 (/.f64 (/.f64 6 (/.f64 2 n)) 4) (/.f64 (/.f64 1 (/.f64 -1 n)) 4)) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 2 (/.f64 2 (/.f64 4 n))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 2 (*.f64 (/.f64 2 (/.f64 2 n)) 1/2)) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 (/.f64 2 (/.f64 2 n)) 1) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 1 (/.f64 2 (/.f64 2 n))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 4 (/.f64 2 (/.f64 8 n))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 4 (*.f64 (/.f64 2 (/.f64 4 n)) 1/2)) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 8 (/.f64 2 (/.f64 16 n))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 8 (*.f64 (/.f64 2 (/.f64 8 n)) 1/2)) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 (/.f64 2 (/.f64 1 n)) 1/2) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 1/2 (/.f64 2 (/.f64 1 n))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 (/.f64 2 (/.f64 8 n)) 4) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 (/.f64 2 (/.f64 16 n)) 8) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 16 (/.f64 1 (/.f64 16 n))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 16 (*.f64 (/.f64 2 (/.f64 16 n)) 1/2)) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 (/.f64 1 (/.f64 1/4 n)) 1/4) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 (/.f64 2 (/.f64 4 n)) 2) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 1/4 (/.f64 1 (/.f64 1/4 n))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 1/8 (/.f64 4 (/.f64 1/2 n))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 1/8 (/.f64 2 (/.f64 1/4 n))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 (/.f64 1 (/.f64 16 n)) 16) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 32 (/.f64 1 (/.f64 32 n))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 32 (/.f64 1/2 (/.f64 16 n))) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(*.f64 (/.f64 16 (/.f64 2 n)) 1/8) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(pow.f64 (/.f64 2 (/.f64 2 n)) 1) |
(/.f64 2 (/.f64 2 n)) |
(/.f64 128 (/.f64 128 n)) |
(/.f64 16 (/.f64 16 n)) |
(+.f64 (/.f64 100 (/.f64 1 n)) 0) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(+.f64 0 (/.f64 100 (/.f64 1 n))) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(+.f64 (/.f64 100 (/.f64 2 n)) (/.f64 100 (/.f64 2 n))) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(+.f64 (/.f64 100 (/.f64 4 n)) (+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 100 (/.f64 2 n)))) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 (/.f64 300 (/.f64 2 n)) 2)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 (*.f64 2 (/.f64 300 (/.f64 2 n))) 4)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(-.f64 (/.f64 100 (/.f64 1 n)) 0) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(-.f64 (/.f64 100 (/.f64 2 n)) (neg.f64 (/.f64 100 (/.f64 2 n)))) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(-.f64 (+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 100 (/.f64 2 n))) (-.f64 0 (/.f64 100 (/.f64 4 n)))) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(-.f64 (/.f64 (/.f64 300 (/.f64 2 n)) 2) (/.f64 (neg.f64 (/.f64 100 (/.f64 2 n))) 2)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(-.f64 (/.f64 (*.f64 2 (/.f64 300 (/.f64 2 n))) 4) (/.f64 (/.f64 200 (/.f64 -2 n)) 4)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (/.f64 100 (/.f64 1 n)) 1) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (/.f64 100 (/.f64 2 n)) 1/2) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (/.f64 100 (/.f64 4 n)) 1/4) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (/.f64 400 (/.f64 2 n)) 2) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 50 (/.f64 1/2 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (*.f64 (/.f64 2 (/.f64 2 n)) 400) 4) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 400 (/.f64 4 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 800 (/.f64 8 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 25 (/.f64 1/4 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 25/2 (/.f64 1/2 (*.f64 n 4))) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (*.f64 (/.f64 100 (/.f64 2 n)) 16) 8) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 -200 (/.f64 -2 n)) |
(/.f64 -400 (/.f64 -4 n)) |
(/.f64 1600 (/.f64 16 n)) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (/.f64 200 (/.f64 1/2 n)) 4) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (/.f64 200 (/.f64 1/4 n)) 8) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (/.f64 200 (/.f64 1 n)) 2) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (/.f64 400 (/.f64 1/2 n)) 8) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (/.f64 400 (/.f64 1/4 n)) 16) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (/.f64 400 (/.f64 1 n)) 4) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (/.f64 800 (/.f64 2 n)) 4) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (/.f64 800 (/.f64 1/2 n)) 16) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (/.f64 800 (/.f64 1 n)) 8) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(/.f64 (+.f64 (*.f64 (/.f64 100 (/.f64 2 n)) 16) (*.f64 (/.f64 100 (/.f64 2 n)) 16)) 16) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
(pow.f64 (/.f64 100 (/.f64 1 n)) 1) |
(/.f64 100 (/.f64 1 n)) |
(/.f64 200 (/.f64 2 n)) |
(/.f64 12800 (/.f64 128 n)) |
(/.f64 25/2 (/.f64 1/8 n)) |
Compiled 7 to 5 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 100 (/.f64 i n)) | |
| ✓ | 13.3b | (*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
Compiled 27 to 17 computations (37% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | i | @ | 0 | (*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
| 0.0ms | i | @ | inf | (*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
| 0.0ms | n | @ | inf | (*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
| 0.0ms | n | @ | -inf | (*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
| 0.0ms | i | @ | -inf | (*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
| 1× | batch-egg-rewrite |
| 1016× | rational_best-simplify-82 |
| 938× | rational_best-simplify-51 |
| 762× | rational_best-4 |
| 762× | rational_best-2 |
| 762× | rational_best-3 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 19 |
| 1 | 77 | 19 |
| 2 | 159 | 1 |
| 3 | 470 | 1 |
| 4 | 1994 | 1 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 0))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 25 |
| 1× | saturated |
| Inputs |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
| Outputs |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (-.f64 i -2) (/.f64 i n)) |
| ✓ | 0.1b | (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400) |
| ✓ | 0.2b | (/.f64 (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) 8) |
| ✓ | 4.3b | (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) |
Compiled 53 to 30 computations (43.4% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 117.0ms | i | @ | inf | (/.f64 (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) 8) |
| 1.0ms | n | @ | 0 | (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) |
| 1.0ms | i | @ | inf | (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) |
| 1.0ms | i | @ | 0 | (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) |
| 1.0ms | n | @ | -inf | (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) |
| 1× | batch-egg-rewrite |
| 1746× | rational_best-4 |
| 1746× | rational_best-2 |
| 1746× | rational_best-3 |
| 1746× | rational_best-1 |
| 1746× | exponential-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 112 |
| 1 | 95 | 112 |
| 2 | 234 | 112 |
| 3 | 761 | 112 |
| 4 | 4105 | 112 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) |
(/.f64 (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) 8) |
(*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400) |
(-.f64 (-.f64 i -2) (/.f64 i n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/8) (/.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1200) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 4) (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 4) (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1200) 4) (/.f64 (neg.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1600) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) (*.f64 n 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n 400) (+.f64 -2 (-.f64 (/.f64 i n) i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n 4) (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 32) (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 32))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 32) 2) (/.f64 (/.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1200) 16) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) 32) (/.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1200) 32))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 32) (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) -16))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 32) (/.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) -2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 32) (/.f64 (neg.f64 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1200) 16) 2) (/.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) -16) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1200) 32) (/.f64 (neg.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400))) 32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1600) 1/32)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/32 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1600))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) (*.f64 n 4)) 1/64)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/64 (*.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) (*.f64 n 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) 4) (/.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) 4) (/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 i (neg.f64 (+.f64 -2 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 i (+.f64 (/.f64 i (neg.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 i 2) (/.f64 i (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) (neg.f64 (/.f64 0 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) (-.f64 i i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) (-.f64 (+.f64 i 2) (+.f64 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (+.f64 i 2) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 1 (-.f64 i (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 i (neg.f64 n)) (+.f64 i 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 i 1) (/.f64 i (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (+.f64 2 (*.f64 (-.f64 i (/.f64 i n)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 i (/.f64 i n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 i (/.f64 i n)) (neg.f64 (+.f64 -2 (/.f64 0 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 i 1) (+.f64 1 (/.f64 i (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 i (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i (neg.f64 n)) (+.f64 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i (neg.f64 n)) (-.f64 i (+.f64 -2 (/.f64 0 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i (neg.f64 n)) (+.f64 (-.f64 i (+.f64 -2 (/.f64 0 n))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i (neg.f64 n)) (+.f64 (-.f64 i (/.f64 0 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i (neg.f64 n)) (neg.f64 (neg.f64 (+.f64 i 2))))))) (#(struct:change #<rule 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(-.f64 -2 (+.f64 i (/.f64 i (*.f64 n -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i (*.f64 n -2)) (/.f64 (+.f64 (/.f64 i (neg.f64 n)) (*.f64 (+.f64 i 2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 i (/.f64 i (*.f64 n -2))) (neg.f64 (+.f64 -2 (/.f64 i (+.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 i 2) -1) (+.f64 (-.f64 (/.f64 i 2) -1) (/.f64 i (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 i 2) -1) (-.f64 (-.f64 (/.f64 i 2) -1) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i 2) (-.f64 (/.f64 i 2) (+.f64 -2 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 i (*.f64 n -2))) (neg.f64 (-.f64 -1 (+.f64 i (/.f64 i (*.f64 n -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 i (/.f64 0 n)) 1) (+.f64 1 (/.f64 i (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 i (/.f64 i (*.f64 n -2))) 1) (+.f64 (/.f64 i (*.f64 n -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 i 2) (+.f64 -2 (/.f64 i n))) (/.f64 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) (-.f64 (/.f64 i 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) (-.f64 (/.f64 i 2) (+.f64 -2 (/.f64 0 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 i 2) -2) (-.f64 (/.f64 i 2) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 i 2) (/.f64 i (+.f64 n n))) (-.f64 (/.f64 i 2) (+.f64 -2 (/.f64 i (+.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (+.f64 (/.f64 i n) -1)) (neg.f64 (neg.f64 (+.f64 i 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 i i) (+.f64 -2 (/.f64 i n))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (/.f64 i n)) (neg.f64 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (/.f64 i 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n)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2)) (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 i i) (*.f64 (+.f64 -2 (/.f64 i n)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 (+.f64 i 2) 2)) (/.f64 (*.f64 i 4) n)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -2 (-.f64 (/.f64 i n) i))))))) |
| 1× | egg-herbie |
| 824× | rational_best-simplify-50 |
| 714× | rational_best-simplify-49 |
| 698× | rational_best-simplify-47 |
| 556× | rational_best-simplify-1 |
| 548× | rational_best-simplify-108 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 313 | 6678 |
| 1 | 798 | 6294 |
| 2 | 2031 | 6288 |
| 3 | 7420 | 5574 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -400 i) |
(+.f64 (*.f64 400 (*.f64 n (+.f64 2 i))) (*.f64 -400 i)) |
(+.f64 (*.f64 400 (*.f64 n (+.f64 2 i))) (*.f64 -400 i)) |
(+.f64 (*.f64 400 (*.f64 n (+.f64 2 i))) (*.f64 -400 i)) |
(*.f64 400 (*.f64 n (+.f64 2 i))) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 2 i)))) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 2 i)))) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 2 i)))) |
(*.f64 400 (*.f64 n (+.f64 2 i))) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 2 i)))) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 2 i)))) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 2 i)))) |
(*.f64 800 n) |
(+.f64 (*.f64 400 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 800 n)) |
(+.f64 (*.f64 400 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 800 n)) |
(+.f64 (*.f64 400 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 800 n)) |
(*.f64 400 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(+.f64 (*.f64 400 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 800 n)) |
(+.f64 (*.f64 400 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 800 n)) |
(+.f64 (*.f64 400 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 800 n)) |
(*.f64 -400 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(+.f64 (*.f64 800 n) (*.f64 -400 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i)))) |
(+.f64 (*.f64 800 n) (*.f64 -400 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i)))) |
(+.f64 (*.f64 800 n) (*.f64 -400 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i)))) |
(*.f64 -50 i) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(*.f64 50 (*.f64 n (+.f64 2 i))) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(*.f64 50 (*.f64 n (+.f64 2 i))) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(*.f64 100 n) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(*.f64 -50 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(+.f64 (*.f64 -50 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) (*.f64 100 n)) |
(+.f64 (*.f64 -50 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) (*.f64 100 n)) |
(+.f64 (*.f64 -50 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) (*.f64 100 n)) |
800 |
(+.f64 800 (*.f64 400 (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(+.f64 800 (*.f64 400 (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(+.f64 800 (*.f64 400 (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 400 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 800 (*.f64 400 (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(+.f64 800 (*.f64 400 (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(+.f64 800 (*.f64 400 (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 -400 (*.f64 (-.f64 (/.f64 1 n) 1) i)) |
(+.f64 800 (*.f64 -400 (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(+.f64 800 (*.f64 -400 (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(+.f64 800 (*.f64 -400 (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(*.f64 -400 (/.f64 i n)) |
(+.f64 (*.f64 400 (+.f64 2 i)) (*.f64 -400 (/.f64 i n))) |
(+.f64 (*.f64 400 (+.f64 2 i)) (*.f64 -400 (/.f64 i n))) |
(+.f64 (*.f64 400 (+.f64 2 i)) (*.f64 -400 (/.f64 i n))) |
(*.f64 400 (+.f64 2 i)) |
(+.f64 (*.f64 -400 (/.f64 i n)) (*.f64 400 (+.f64 2 i))) |
(+.f64 (*.f64 -400 (/.f64 i n)) (*.f64 400 (+.f64 2 i))) |
(+.f64 (*.f64 -400 (/.f64 i n)) (*.f64 400 (+.f64 2 i))) |
(*.f64 400 (+.f64 2 i)) |
(+.f64 (*.f64 -400 (/.f64 i n)) (*.f64 400 (+.f64 2 i))) |
(+.f64 (*.f64 -400 (/.f64 i n)) (*.f64 400 (+.f64 2 i))) |
(+.f64 (*.f64 -400 (/.f64 i n)) (*.f64 400 (+.f64 2 i))) |
2 |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(*.f64 i (-.f64 1 (/.f64 1 n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 n) 1) i)) |
(+.f64 2 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(+.f64 2 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(+.f64 2 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(*.f64 -1 (/.f64 i n)) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 2 i) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 2 i) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) 0) |
(+.f64 0 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400))) |
(+.f64 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/8) (/.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1200) 4)) |
(+.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 4) (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 4)) |
(-.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) 0) |
(-.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 4) (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) -2)) |
(-.f64 (/.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1200) 4) (/.f64 (neg.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400))) 4)) |
(/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) 1) |
(/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 2) |
(/.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1600) 4) |
(/.f64 (*.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) (*.f64 n 4)) 8) |
(/.f64 (*.f64 (*.f64 n 400) (+.f64 -2 (-.f64 (/.f64 i n) i))) -1) |
(/.f64 (*.f64 (*.f64 n 4) (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800))) 16) |
(pow.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) 1) |
(+.f64 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16) 0) |
(+.f64 0 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16)) |
(+.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 32) (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 32)) |
(+.f64 (/.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 32) 2) (/.f64 (/.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1200) 16) 2)) |
(+.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) 32) (/.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1200) 32)) |
(-.f64 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16) 0) |
(-.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 32) (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) -16)) |
(-.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 32) (/.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) -2) 8)) |
(-.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 32) (/.f64 (neg.f64 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16)) 2)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1200) 16) 2) (/.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) -16) 2)) |
(-.f64 (/.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1200) 32) (/.f64 (neg.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400))) 32)) |
(*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) 1/8) |
(*.f64 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16) 1) |
(*.f64 1 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16)) |
(*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16) |
(*.f64 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/8) 1/2) |
(*.f64 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1600) 1/32) |
(*.f64 1/2 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/8)) |
(*.f64 1/8 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400))) |
(*.f64 1/16 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800))) |
(*.f64 1/32 (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 1600)) |
(*.f64 (*.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) (*.f64 n 4)) 1/64) |
(*.f64 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 4) 1/4) |
(*.f64 1/4 (/.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 4)) |
(*.f64 1/64 (*.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) (*.f64 n 4))) |
(pow.f64 (*.f64 (*.f64 n (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 1/16) 1) |
(+.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400) 0) |
(+.f64 0 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) |
(+.f64 (/.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) 4) (/.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) 4)) |
(-.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400) 0) |
(-.f64 (/.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) 4) (/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) 2)) |
(/.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400) 1) |
(/.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) 2) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 4) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800))) 8) |
(pow.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400) 1) |
(+.f64 i (neg.f64 (+.f64 -2 (/.f64 i n)))) |
(+.f64 i (+.f64 (/.f64 i (neg.f64 n)) 2)) |
(+.f64 (+.f64 i 2) (/.f64 i (neg.f64 n))) |
(+.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 0) |
(+.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) (neg.f64 (/.f64 0 n))) |
(+.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) (-.f64 i i)) |
(+.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) (-.f64 (+.f64 i 2) (+.f64 i 2))) |
(+.f64 0 (-.f64 (+.f64 i 2) (/.f64 i n))) |
(+.f64 1 (+.f64 1 (-.f64 i (/.f64 i n)))) |
(+.f64 1 (+.f64 (/.f64 i (neg.f64 n)) (+.f64 i 1))) |
(+.f64 1 (+.f64 (+.f64 i 1) (/.f64 i (neg.f64 n)))) |
(+.f64 1 (/.f64 (+.f64 2 (*.f64 (-.f64 i (/.f64 i n)) 2)) 2)) |
(+.f64 (-.f64 i (/.f64 i n)) 2) |
(+.f64 (-.f64 i (/.f64 i n)) (neg.f64 (+.f64 -2 (/.f64 0 n)))) |
(+.f64 (+.f64 i 1) (+.f64 1 (/.f64 i (neg.f64 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 (/.f64 i (neg.f64 n)) (+.f64 i 2)) |
(+.f64 (/.f64 i (neg.f64 n)) (-.f64 i (+.f64 -2 (/.f64 0 n)))) |
(+.f64 (/.f64 i (neg.f64 n)) (+.f64 (-.f64 i (+.f64 -2 (/.f64 0 n))) 0)) |
(+.f64 (/.f64 i (neg.f64 n)) (+.f64 (-.f64 i (/.f64 0 n)) 2)) |
(+.f64 (/.f64 i (neg.f64 n)) (neg.f64 (neg.f64 (+.f64 i 2)))) |
(+.f64 (/.f64 0 n) (-.f64 (+.f64 i 2) (/.f64 i n))) |
(+.f64 (+.f64 1 (/.f64 i (neg.f64 n))) (+.f64 i 1)) |
(+.f64 (+.f64 1 (-.f64 i (/.f64 i n))) 1) |
(+.f64 (/.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2) (/.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2)) |
(+.f64 (neg.f64 (+.f64 -2 (/.f64 i n))) i) |
(+.f64 (-.f64 i (+.f64 -2 (/.f64 0 n))) (/.f64 i (neg.f64 n))) |
(+.f64 (+.f64 (+.f64 i 2) (/.f64 i (*.f64 n -2))) (/.f64 i (*.f64 n -2))) |
(+.f64 (/.f64 i (*.f64 n -2)) (+.f64 (+.f64 i 2) (/.f64 i (*.f64 n -2)))) |
(+.f64 (/.f64 i (*.f64 n -2)) (+.f64 (+.f64 i (/.f64 i (*.f64 n -2))) 2)) |
(+.f64 (/.f64 i (*.f64 n -2)) (neg.f64 (-.f64 -2 (+.f64 i (/.f64 i (*.f64 n -2)))))) |
(+.f64 (/.f64 i (*.f64 n -2)) (/.f64 (+.f64 (/.f64 i (neg.f64 n)) (*.f64 (+.f64 i 2) 2)) 2)) |
(+.f64 (+.f64 i (/.f64 i (*.f64 n -2))) (neg.f64 (+.f64 -2 (/.f64 i (+.f64 n n))))) |
(+.f64 (-.f64 (/.f64 i 2) -1) (+.f64 (-.f64 (/.f64 i 2) -1) (/.f64 i (neg.f64 n)))) |
(+.f64 (-.f64 (/.f64 i 2) -1) (-.f64 (-.f64 (/.f64 i 2) -1) (/.f64 i n))) |
(+.f64 (/.f64 i 2) (-.f64 (/.f64 i 2) (+.f64 -2 (/.f64 i n)))) |
(+.f64 (+.f64 1 (/.f64 i (*.f64 n -2))) (neg.f64 (-.f64 -1 (+.f64 i (/.f64 i (*.f64 n -2)))))) |
(+.f64 (+.f64 (-.f64 i (/.f64 0 n)) 1) (+.f64 1 (/.f64 i (neg.f64 n)))) |
(+.f64 (+.f64 (+.f64 i (/.f64 i (*.f64 n -2))) 1) (+.f64 (/.f64 i (*.f64 n -2)) 1)) |
(+.f64 (-.f64 (/.f64 i 2) (+.f64 -2 (/.f64 i n))) (/.f64 i 2)) |
(+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) (-.f64 (/.f64 i 2) -2)) |
(+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) (-.f64 (/.f64 i 2) (+.f64 -2 (/.f64 0 n)))) |
(+.f64 (-.f64 (/.f64 i 2) -2) (-.f64 (/.f64 i 2) (/.f64 i n))) |
(+.f64 (-.f64 (/.f64 i 2) (/.f64 i (+.f64 n n))) (-.f64 (/.f64 i 2) (+.f64 -2 (/.f64 i (+.f64 n n))))) |
(+.f64 (-.f64 0 (+.f64 (/.f64 i n) -1)) (neg.f64 (neg.f64 (+.f64 i 1)))) |
(+.f64 (-.f64 (+.f64 i i) (+.f64 -2 (/.f64 i n))) (neg.f64 i)) |
(+.f64 (-.f64 2 (/.f64 i n)) (neg.f64 (neg.f64 i))) |
(+.f64 (-.f64 2 (/.f64 i (+.f64 n n))) (neg.f64 (-.f64 (/.f64 i (+.f64 n n)) i))) |
(+.f64 (-.f64 2 (-.f64 (/.f64 i (+.f64 n n)) i)) (/.f64 i (*.f64 n -2))) |
(+.f64 (-.f64 (/.f64 0 n) (+.f64 (/.f64 i n) -1)) (neg.f64 (neg.f64 (+.f64 i 1)))) |
(+.f64 (-.f64 (*.f64 (+.f64 i 2) 2) (/.f64 i n)) (neg.f64 (+.f64 i 2))) |
(+.f64 (-.f64 (-.f64 (/.f64 i 2) -1) (/.f64 0 n)) (-.f64 (-.f64 (/.f64 i 2) -1) (/.f64 i n))) |
(+.f64 (-.f64 (-.f64 (/.f64 i 2) -1) (/.f64 i n)) (-.f64 (/.f64 i 2) -1)) |
(+.f64 (-.f64 (-.f64 (/.f64 i 2) -1) (/.f64 i n)) (-.f64 (-.f64 (/.f64 i 2) -1) (/.f64 0 n))) |
(*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 1) |
(*.f64 1 (-.f64 (+.f64 i 2) (/.f64 i n))) |
(*.f64 -1 (+.f64 -2 (-.f64 (/.f64 i n) i))) |
(*.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) -1) |
(*.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2) 1/2) |
(*.f64 1/2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2)) |
(*.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2)) 1/4) |
(*.f64 1/4 (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2))) |
(/.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 1) |
(/.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) (/.f64 n n)) |
(/.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) -1) |
(/.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2) 2) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2)) 4) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2)) (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2))) 8) |
(/.f64 (-.f64 (+.f64 i i) (*.f64 (+.f64 -2 (/.f64 i n)) 2)) 2) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (+.f64 i 2) 2)) (/.f64 (*.f64 i 4) n)) 4) |
(pow.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 1) |
(neg.f64 (+.f64 -2 (-.f64 (/.f64 i n) i))) |
| Outputs |
|---|
(*.f64 -400 i) |
(+.f64 (*.f64 400 (*.f64 n (+.f64 2 i))) (*.f64 -400 i)) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 i 2)))) |
(+.f64 (*.f64 -400 i) (*.f64 n (*.f64 400 (+.f64 i 2)))) |
(+.f64 (*.f64 400 (*.f64 n (+.f64 2 i))) (*.f64 -400 i)) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 i 2)))) |
(+.f64 (*.f64 -400 i) (*.f64 n (*.f64 400 (+.f64 i 2)))) |
(+.f64 (*.f64 400 (*.f64 n (+.f64 2 i))) (*.f64 -400 i)) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 i 2)))) |
(+.f64 (*.f64 -400 i) (*.f64 n (*.f64 400 (+.f64 i 2)))) |
(*.f64 400 (*.f64 n (+.f64 2 i))) |
(*.f64 400 (*.f64 n (+.f64 i 2))) |
(*.f64 n (*.f64 400 (+.f64 i 2))) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 2 i)))) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 i 2)))) |
(+.f64 (*.f64 -400 i) (*.f64 n (*.f64 400 (+.f64 i 2)))) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 2 i)))) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 i 2)))) |
(+.f64 (*.f64 -400 i) (*.f64 n (*.f64 400 (+.f64 i 2)))) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 2 i)))) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 i 2)))) |
(+.f64 (*.f64 -400 i) (*.f64 n (*.f64 400 (+.f64 i 2)))) |
(*.f64 400 (*.f64 n (+.f64 2 i))) |
(*.f64 400 (*.f64 n (+.f64 i 2))) |
(*.f64 n (*.f64 400 (+.f64 i 2))) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 2 i)))) |
(+.f64 (*.f64 -400 i) (*.f64 400 (*.f64 n (+.f64 i 2)))) |
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800 |
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2 |
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(*.f64 400 (-.f64 (+.f64 i 2) (/.f64 i n))) |
(*.f64 400 (+.f64 i (-.f64 2 (/.f64 i n)))) |
(-.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400) 0) |
(*.f64 400 (-.f64 (+.f64 i 2) (/.f64 i n))) |
(*.f64 400 (+.f64 i (-.f64 2 (/.f64 i n)))) |
(-.f64 (/.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) 4) (/.f64 (neg.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400)) 2)) |
(*.f64 400 (-.f64 (+.f64 i 2) (/.f64 i n))) |
(*.f64 400 (+.f64 i (-.f64 2 (/.f64 i n)))) |
(/.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400) 1) |
(*.f64 400 (-.f64 (+.f64 i 2) (/.f64 i n))) |
(*.f64 400 (+.f64 i (-.f64 2 (/.f64 i n)))) |
(/.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800) 2) |
(*.f64 400 (-.f64 (+.f64 i 2) (/.f64 i n))) |
(*.f64 400 (+.f64 i (-.f64 2 (/.f64 i n)))) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) 4) |
(*.f64 400 (-.f64 (+.f64 i 2) (/.f64 i n))) |
(*.f64 400 (+.f64 i (-.f64 2 (/.f64 i n)))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800)) (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 800))) 8) |
(*.f64 400 (-.f64 (+.f64 i 2) (/.f64 i n))) |
(*.f64 400 (+.f64 i (-.f64 2 (/.f64 i n)))) |
(pow.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 400) 1) |
(*.f64 400 (-.f64 (+.f64 i 2) (/.f64 i n))) |
(*.f64 400 (+.f64 i (-.f64 2 (/.f64 i n)))) |
(+.f64 i (neg.f64 (+.f64 -2 (/.f64 i n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 i (+.f64 (/.f64 i (neg.f64 n)) 2)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (+.f64 i 2) (/.f64 i (neg.f64 n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 0) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) (neg.f64 (/.f64 0 n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) (-.f64 i i)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) (-.f64 (+.f64 i 2) (+.f64 i 2))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 0 (-.f64 (+.f64 i 2) (/.f64 i n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 1 (+.f64 1 (-.f64 i (/.f64 i n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 1 (+.f64 (/.f64 i (neg.f64 n)) (+.f64 i 1))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 1 (+.f64 (+.f64 i 1) (/.f64 i (neg.f64 n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 1 (/.f64 (+.f64 2 (*.f64 (-.f64 i (/.f64 i n)) 2)) 2)) |
(+.f64 1 (+.f64 1 (/.f64 (*.f64 2 (-.f64 i (/.f64 i n))) 2))) |
(+.f64 (/.f64 (*.f64 2 (-.f64 i (/.f64 i n))) 2) 2) |
(+.f64 2 (/.f64 (*.f64 2 (-.f64 i (/.f64 i n))) 2)) |
(+.f64 (-.f64 i (/.f64 i n)) 2) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 i (/.f64 i n)) (neg.f64 (+.f64 -2 (/.f64 0 n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (+.f64 i 1) (+.f64 1 (/.f64 i (neg.f64 n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (/.f64 i (neg.f64 n)) (+.f64 i 2)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (/.f64 i (neg.f64 n)) (-.f64 i (+.f64 -2 (/.f64 0 n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (/.f64 i (neg.f64 n)) (+.f64 (-.f64 i (+.f64 -2 (/.f64 0 n))) 0)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (/.f64 i (neg.f64 n)) (+.f64 (-.f64 i (/.f64 0 n)) 2)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (/.f64 i (neg.f64 n)) (neg.f64 (neg.f64 (+.f64 i 2)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (/.f64 0 n) (-.f64 (+.f64 i 2) (/.f64 i n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (+.f64 1 (/.f64 i (neg.f64 n))) (+.f64 i 1)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (+.f64 1 (-.f64 i (/.f64 i n))) 1) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (/.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2) (/.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (neg.f64 (+.f64 -2 (/.f64 i n))) i) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 i (+.f64 -2 (/.f64 0 n))) (/.f64 i (neg.f64 n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (+.f64 (+.f64 i 2) (/.f64 i (*.f64 n -2))) (/.f64 i (*.f64 n -2))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (/.f64 i (*.f64 n -2)) (+.f64 (+.f64 i 2) (/.f64 i (*.f64 n -2)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (/.f64 i (*.f64 n -2)) (+.f64 (+.f64 i (/.f64 i (*.f64 n -2))) 2)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (/.f64 i (*.f64 n -2)) (neg.f64 (-.f64 -2 (+.f64 i (/.f64 i (*.f64 n -2)))))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (/.f64 i (*.f64 n -2)) (/.f64 (+.f64 (/.f64 i (neg.f64 n)) (*.f64 (+.f64 i 2) 2)) 2)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (+.f64 i (/.f64 i (*.f64 n -2))) (neg.f64 (+.f64 -2 (/.f64 i (+.f64 n n))))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 (/.f64 i 2) -1) (+.f64 (-.f64 (/.f64 i 2) -1) (/.f64 i (neg.f64 n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 (/.f64 i 2) -1) (-.f64 (-.f64 (/.f64 i 2) -1) (/.f64 i n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (/.f64 i 2) (-.f64 (/.f64 i 2) (+.f64 -2 (/.f64 i n)))) |
(+.f64 (/.f64 i 2) (-.f64 (/.f64 i 2) (+.f64 (/.f64 i n) -2))) |
(+.f64 (/.f64 i 2) (+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) 2)) |
(+.f64 2 (+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) (/.f64 i 2))) |
(+.f64 (+.f64 1 (/.f64 i (*.f64 n -2))) (neg.f64 (-.f64 -1 (+.f64 i (/.f64 i (*.f64 n -2)))))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (+.f64 (-.f64 i (/.f64 0 n)) 1) (+.f64 1 (/.f64 i (neg.f64 n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (+.f64 (+.f64 i (/.f64 i (*.f64 n -2))) 1) (+.f64 (/.f64 i (*.f64 n -2)) 1)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 (/.f64 i 2) (+.f64 -2 (/.f64 i n))) (/.f64 i 2)) |
(+.f64 (/.f64 i 2) (-.f64 (/.f64 i 2) (+.f64 (/.f64 i n) -2))) |
(+.f64 (/.f64 i 2) (+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) 2)) |
(+.f64 2 (+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) (/.f64 i 2))) |
(+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) (-.f64 (/.f64 i 2) -2)) |
(+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) (-.f64 (/.f64 i 2) (+.f64 -2 (/.f64 0 n)))) |
(+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) (-.f64 (/.f64 i 2) -2)) |
(+.f64 (-.f64 (/.f64 i 2) -2) (-.f64 (/.f64 i 2) (/.f64 i n))) |
(+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) (-.f64 (/.f64 i 2) -2)) |
(+.f64 (-.f64 (/.f64 i 2) (/.f64 i (+.f64 n n))) (-.f64 (/.f64 i 2) (+.f64 -2 (/.f64 i (+.f64 n n))))) |
(+.f64 (-.f64 (/.f64 i 2) (/.f64 i (+.f64 n n))) (+.f64 (-.f64 (/.f64 i 2) (/.f64 i (+.f64 n n))) 2)) |
(+.f64 (/.f64 i (*.f64 n -2)) (+.f64 (-.f64 (/.f64 i 2) -2) (-.f64 (/.f64 i 2) (/.f64 i (+.f64 n n))))) |
(+.f64 (-.f64 0 (+.f64 (/.f64 i n) -1)) (neg.f64 (neg.f64 (+.f64 i 1)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 (+.f64 i i) (+.f64 -2 (/.f64 i n))) (neg.f64 i)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 2 (/.f64 i n)) (neg.f64 (neg.f64 i))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 2 (/.f64 i (+.f64 n n))) (neg.f64 (-.f64 (/.f64 i (+.f64 n n)) i))) |
(-.f64 2 (+.f64 (/.f64 i (+.f64 n n)) (-.f64 (/.f64 i (+.f64 n n)) i))) |
(-.f64 2 (-.f64 (*.f64 2 (/.f64 i (+.f64 n n))) i)) |
(+.f64 (-.f64 2 (-.f64 (/.f64 i (+.f64 n n)) i)) (/.f64 i (*.f64 n -2))) |
(-.f64 2 (+.f64 (/.f64 i (+.f64 n n)) (-.f64 (/.f64 i (+.f64 n n)) i))) |
(-.f64 2 (-.f64 (*.f64 2 (/.f64 i (+.f64 n n))) i)) |
(+.f64 (-.f64 (/.f64 0 n) (+.f64 (/.f64 i n) -1)) (neg.f64 (neg.f64 (+.f64 i 1)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 (*.f64 (+.f64 i 2) 2) (/.f64 i n)) (neg.f64 (+.f64 i 2))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 (-.f64 (/.f64 i 2) -1) (/.f64 0 n)) (-.f64 (-.f64 (/.f64 i 2) -1) (/.f64 i n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 (-.f64 (/.f64 i 2) -1) (/.f64 i n)) (-.f64 (/.f64 i 2) -1)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(+.f64 (-.f64 (-.f64 (/.f64 i 2) -1) (/.f64 i n)) (-.f64 (-.f64 (/.f64 i 2) -1) (/.f64 0 n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 1) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(*.f64 1 (-.f64 (+.f64 i 2) (/.f64 i n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(*.f64 -1 (+.f64 -2 (-.f64 (/.f64 i n) i))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(*.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) -1) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(*.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2) 1/2) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(*.f64 1/2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(*.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2)) 1/4) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(*.f64 1/4 (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(/.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 1) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(/.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) (/.f64 n n)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(/.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) -1) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(/.f64 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2) 2) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(/.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2)) 4) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2)) (*.f64 2 (*.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 2))) 8) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(/.f64 (-.f64 (+.f64 i i) (*.f64 (+.f64 -2 (/.f64 i n)) 2)) 2) |
(/.f64 (-.f64 (+.f64 i i) (*.f64 2 (+.f64 (/.f64 i n) -2))) 2) |
(-.f64 i (/.f64 (*.f64 2 (+.f64 (/.f64 i n) -2)) 2)) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (+.f64 i 2) 2)) (/.f64 (*.f64 i 4) n)) 4) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(pow.f64 (-.f64 (+.f64 i 2) (/.f64 i n)) 1) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
(neg.f64 (+.f64 -2 (-.f64 (/.f64 i n) i))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 i (-.f64 2 (/.f64 i n))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
| ✓ | 0.2b | (/.f64 1 (/.f64 i n)) |
| 5.5b | (pow.f64 (+.f64 1 (/.f64 i n)) n) | |
| ✓ | 14.0b | (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 1 (/.f64 i n))) |
Compiled 73 to 32 computations (56.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | n | @ | 0 | (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 1 (/.f64 i n))) |
| 1.0ms | i | @ | -inf | (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 1 (/.f64 i n))) |
| 1.0ms | i | @ | inf | (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 1 (/.f64 i n))) |
| 1.0ms | i | @ | -inf | (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
| 1.0ms | n | @ | -inf | (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 1 (/.f64 i n))) |
| 1× | batch-egg-rewrite |
| 1780× | rational_best-4 |
| 1780× | rational_best-2 |
| 1780× | rational_best-3 |
| 1780× | rational_best-1 |
| 1780× | exponential-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 81 |
| 1 | 79 | 81 |
| 2 | 201 | 81 |
| 3 | 718 | 81 |
| 4 | 4464 | 81 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 1 (/.f64 i n))) |
(/.f64 1 (/.f64 i n)) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
| Outputs |
|---|
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4) (/.f64 i n)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4)) (/.f64 1 (*.f64 2 (*.f64 (/.f64 i n) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 i n)) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 i n)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 2 (*.f64 (/.f64 i n) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 i n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 1 (/.f64 1 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 i (+.f64 n n))) (/.f64 1 (/.f64 2 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 i n) (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 i n) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2)) (/.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 i n) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n))) (/.f64 1 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 i n) (*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) 2)) (/.f64 1/2 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 i n) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4)) (/.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) 1))))) |
| 1× | egg-herbie |
| 1444× | rational_best-simplify-1 |
| 1350× | rational_best-simplify-63 |
| 824× | rational_best-simplify-108 |
| 662× | rational_best-simplify-3 |
| 492× | rational_best-simplify-55 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 500 | 11050 |
| 1 | 1470 | 10714 |
| 2 | 4737 | 10594 |
| 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))))))))) |
(/.f64 (-.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) n) i) |
(-.f64 (+.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (/.f64 n i)) |
(-.f64 (+.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))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) (/.f64 n i)) |
(-.f64 (+.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))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (+.f64 (/.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 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) (/.f64 n i)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i)) |
(+.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 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i))) |
(+.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 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i)) (/.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 -1 (/.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 (/.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 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i)) (/.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 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i)) (pow.f64 n 2)) |
(+.f64 (*.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 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i)) (pow.f64 n 2))) |
(+.f64 (*.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 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i)) (pow.f64 n 2)) (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3))))))) |
(+.f64 (*.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 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))) (pow.f64 n 5)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i)) (pow.f64 n 2)) (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)) (/.f64 (log.f64 i) (pow.f64 i 2)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))))) |
(*.f64 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i))) |
(+.f64 (*.f64 -1/2 (*.f64 i (exp.f64 i))) (*.f64 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)))) |
(+.f64 (*.f64 -1/2 (*.f64 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)) (*.f64 n i)) (*.f64 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i))))) |
(+.f64 (/.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)) (*.f64 (pow.f64 n 2) i)) (+.f64 (*.f64 -1/2 (*.f64 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)) (*.f64 n i)) (*.f64 n (-.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i)))))) |
(*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (/.f64 (exp.f64 i) i)) (/.f64 1 i)))) |
(+.f64 (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (/.f64 (exp.f64 i) i)) (/.f64 1 i)))) (*.f64 -1/2 (*.f64 i (exp.f64 i)))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))) (exp.f64 i)) (*.f64 n i)) (+.f64 (*.f64 -1 (*.f64 n (+.f64 (*.f64 -1 (/.f64 (exp.f64 i) i)) (/.f64 1 i)))) (*.f64 -1/2 (*.f64 i (exp.f64 i))))) |
(+.f64 (*.f64 -1 (/.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 -1 (*.f64 n (+.f64 (*.f64 -1 (/.f64 (exp.f64 i) i)) (/.f64 1 i)))) (+.f64 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i)) (*.f64 -1/2 (*.f64 i (exp.f64 i)))))) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(/.f64 n i) |
(+.f64 n (/.f64 n i)) |
(+.f64 n (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (/.f64 n i))) |
(+.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 i)))) |
(/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) |
(+.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) |
(+.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))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) |
(+.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))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (+.f64 (/.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 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) |
(/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i) |
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(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4) (/.f64 i n)) 1/4) |
(*.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4)) (/.f64 1 (*.f64 2 (*.f64 (/.f64 i n) 4)))) |
(*.f64 (/.f64 4 (/.f64 i n)) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4)) |
(*.f64 (/.f64 4 (/.f64 i n)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2))) |
(*.f64 8 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 2 (*.f64 (/.f64 i n) 4)))) |
(*.f64 8 (*.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2))) |
(*.f64 (/.f64 1/2 (/.f64 i n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2)) |
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 1 (/.f64 1 (/.f64 i n)))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 i (+.f64 n n))) (/.f64 1 (/.f64 2 (/.f64 i n)))) |
(*.f64 (*.f64 (/.f64 i n) (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 i n) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2)) (/.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 i n) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n))) (/.f64 1 (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 i n) (*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) 2)) (/.f64 1/2 (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 i n) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4)) (/.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) (/.f64 i n))) |
(pow.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) 1) |
| Outputs |
|---|
n |
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 n (*.f64 (-.f64 1/2 (*.f64 1 (/.f64 1/2 n))) (*.f64 n i))) |
(+.f64 n (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (*.f64 n i))) |
(+.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 (-.f64 1/2 (*.f64 1 (/.f64 1/2 n))) (*.f64 n i)) (*.f64 (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (pow.f64 n 2))) 1/6) (*.f64 1 (/.f64 1/2 n))) (*.f64 (pow.f64 i 2) n)))) |
(+.f64 n (*.f64 n (+.f64 (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n)))) (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (*.f64 n (+.f64 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (*.f64 (pow.f64 i 2) (-.f64 (/.f64 1/3 (pow.f64 n 2)) (+.f64 (/.f64 1/2 n) -1/6)))))) |
(+.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 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (pow.f64 n 2))) 1/6) (*.f64 1 (/.f64 1/2 n))) (*.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 (-.f64 1/2 (*.f64 1 (/.f64 1/2 n))) (*.f64 n i)) (*.f64 (-.f64 (+.f64 1/24 (*.f64 1 (/.f64 11/24 (pow.f64 n 2)))) (+.f64 (*.f64 1 (/.f64 1/4 (pow.f64 n 3))) (*.f64 1 (/.f64 1/4 n)))) (*.f64 (pow.f64 i 3) n))))) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (+.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/24 (*.f64 (/.f64 1 (pow.f64 n 2)) 11/24)) (*.f64 1/4 (+.f64 (/.f64 1 (pow.f64 n 3)) (/.f64 1 n))))))))) |
(+.f64 (*.f64 n (+.f64 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (*.f64 (pow.f64 i 2) (-.f64 (/.f64 1/3 (pow.f64 n 2)) (+.f64 (/.f64 1/2 n) -1/6))))) (+.f64 n (*.f64 (pow.f64 i 3) (*.f64 n (-.f64 (+.f64 1/24 (/.f64 11/24 (pow.f64 n 2))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))))))) |
(/.f64 (-.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) n) i) |
(/.f64 (-.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) n) i) |
(-.f64 (+.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (/.f64 n i)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (/.f64 n i)) |
(-.f64 (+.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))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) (/.f64 n i)) |
(-.f64 (+.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))) (/.f64 n i)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))) (/.f64 n i)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (*.f64 n (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))) (/.f64 n i)) |
(-.f64 (+.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))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (+.f64 (/.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 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) (/.f64 n i)) |
(-.f64 (+.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 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 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))))) (pow.f64 i 4)) (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))))) (/.f64 n i)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (+.f64 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (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 4))))) (/.f64 n i)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (*.f64 n (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (*.f64 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 4))))) (/.f64 n i)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i)) |
(*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (*.f64 n -1)) (*.f64 n -1)) (/.f64 -1 i)) |
(neg.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) n)) i)) |
(+.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 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i))) |
(+.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (*.f64 n -1)) (*.f64 n -1)) (/.f64 -1 i)) (/.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 (neg.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) n)) i)) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) (pow.f64 i 2))) |
(+.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 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i)) (/.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 (*.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 (-.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (*.f64 n -1)) (*.f64 n -1)) (/.f64 -1 i)) (/.f64 (*.f64 (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 3) -1/2) (*.f64 1/2 (pow.f64 n 4))) n)) (pow.f64 i 3)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) n)) i)) (+.f64 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))))) (pow.f64 i 3)) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) (pow.f64 i 2)))) |
(+.f64 (neg.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) n)) i)) (+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) (pow.f64 i 2)) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))) (*.f64 n (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))) |
(+.f64 (*.f64 -1 (/.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 (/.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 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -1 n)) i)) (/.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))))) |
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(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) -1) |
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(/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2) 2) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) (*.f64 i (/.f64 2 n))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) 2) (*.f64 (/.f64 i n) 4)) |
(*.f64 (/.f64 (/.f64 1 (/.f64 i n)) 4) (*.f64 2 (-.f64 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2))) |
(*.f64 2 (*.f64 (-.f64 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) (/.f64 1/4 (/.f64 i n)))) |
(/.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2)) 4) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2) 1/2) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4) 4) (*.f64 (/.f64 i n) 4)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) i) (/.f64 1 n)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (+.f64 i i)) (/.f64 1/2 n)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (*.f64 i 4)) (/.f64 1 (*.f64 n 4))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) (+.f64 i i)) (/.f64 1 n)) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) (*.f64 i 4)) (/.f64 1/2 n)) |
(/.f64 (-.f64 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) (*.f64 (*.f64 i 4) (/.f64 1/2 n))) |
(/.f64 (-.f64 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) (*.f64 1/2 (/.f64 (*.f64 i 4) n))) |
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) 2) (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) 2)) (*.f64 2 (*.f64 (/.f64 i n) 4))) |
(*.f64 (/.f64 (/.f64 1 (/.f64 i n)) 4) (*.f64 2 (-.f64 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2))) |
(*.f64 2 (*.f64 (-.f64 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) (/.f64 1/4 (/.f64 i n)))) |
(/.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2)) (*.f64 2 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2))) 8) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (+.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4) 4) (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4) 4)) (*.f64 2 (*.f64 (/.f64 i n) 4))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4) (/.f64 i n)) (/.f64 4 (/.f64 i n))) 4) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (-.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4)) 8) (*.f64 2 (*.f64 (/.f64 i n) 4))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (*.f64 2 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2)) (*.f64 (/.f64 i n) 4)) |
(*.f64 (/.f64 (/.f64 1 (/.f64 i n)) 4) (*.f64 2 (-.f64 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2))) |
(*.f64 2 (*.f64 (-.f64 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) (/.f64 1/4 (/.f64 i n)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) 2) (/.f64 2 (/.f64 i n))) 4) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) (/.f64 i n)) (/.f64 1 (/.f64 i n))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) (*.f64 i (/.f64 2 n))) (/.f64 1/2 (/.f64 i n))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2) (/.f64 i n)) (/.f64 2 (/.f64 i n))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2) (*.f64 i (/.f64 2 n))) (/.f64 1 (/.f64 i n))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2)) (/.f64 i n)) (/.f64 4 (/.f64 i n))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (/.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2)) (*.f64 i (/.f64 2 n))) (/.f64 2 (/.f64 i n))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4) 4) (/.f64 i n)) 4) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 1) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(+.f64 (/.f64 1 (/.f64 i n)) 0) |
(/.f64 1 (/.f64 i n)) |
(+.f64 0 (/.f64 1 (/.f64 i n))) |
(/.f64 1 (/.f64 i n)) |
(+.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 1/2 (/.f64 i n))) |
(/.f64 1 (/.f64 i n)) |
(-.f64 (/.f64 1 (/.f64 i n)) 0) |
(/.f64 1 (/.f64 i n)) |
(-.f64 0 (/.f64 -1 (/.f64 i n))) |
(neg.f64 (/.f64 -1 (/.f64 i n))) |
(-.f64 (/.f64 1/2 (/.f64 i n)) (-.f64 0 (/.f64 1/2 (/.f64 i n)))) |
(/.f64 1 (/.f64 i n)) |
(-.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 (/.f64 -1 (/.f64 i n)) 2)) |
(/.f64 1 (/.f64 i n)) |
(*.f64 1 (/.f64 1 (/.f64 i n))) |
(/.f64 1 (/.f64 i n)) |
(*.f64 (/.f64 1 (/.f64 i n)) 1) |
(/.f64 1 (/.f64 i n)) |
(*.f64 2 (/.f64 1/2 (/.f64 i n))) |
(/.f64 1 (/.f64 i n)) |
(*.f64 (/.f64 2 (/.f64 i n)) 1/2) |
(/.f64 1 (/.f64 i n)) |
(*.f64 4 (/.f64 1 (*.f64 (/.f64 i n) 4))) |
(/.f64 1 (/.f64 i n)) |
(*.f64 1/2 (/.f64 2 (/.f64 i n))) |
(/.f64 1 (/.f64 i n)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) 4) |
(/.f64 1 (/.f64 i n)) |
(*.f64 (/.f64 4 (/.f64 i n)) 1/4) |
(/.f64 1 (/.f64 i n)) |
(*.f64 8 (/.f64 1 (*.f64 2 (*.f64 (/.f64 i n) 4)))) |
(/.f64 1 (/.f64 i n)) |
(*.f64 (/.f64 1/2 (/.f64 i n)) 2) |
(/.f64 1 (/.f64 i n)) |
(pow.f64 (/.f64 1 (/.f64 i n)) 1) |
(/.f64 1 (/.f64 i n)) |
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) 0) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(+.f64 0 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n))) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n)))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(+.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 (/.f64 i n) 4)) (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 3) (*.f64 (/.f64 i n) 4))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(+.f64 (/.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n))) 2) (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 3) (*.f64 i (/.f64 2 n))) 2)) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) 0) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(-.f64 0 (/.f64 (neg.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n))) (/.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -2) (/.f64 i n))) |
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n))) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 -2 (/.f64 i n)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n))) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 (/.f64 i n) -2))) |
(/.f64 (-.f64 (*.f64 1/2 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -2)) (/.f64 i n)) |
(-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) 2) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 3) (*.f64 i (/.f64 2 n))) 2) (/.f64 (/.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -2) (/.f64 i n)) 2)) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 3) (*.f64 (/.f64 i n) 4)) (/.f64 (neg.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 (/.f64 i n) 4))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 1 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (/.f64 i n) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 (/.f64 i n) (/.f64 i n)))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 1 (/.f64 i n))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) 1) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (/.f64 1 (/.f64 i n)) (pow.f64 (+.f64 1 (/.f64 i n)) n)) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2) (/.f64 1/2 (/.f64 i n))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n)))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 2 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) 2) 1/2) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4) (/.f64 1 (*.f64 (/.f64 i n) 4))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (/.f64 2 (/.f64 i n)) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2)) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (/.f64 2 (/.f64 i n)) (*.f64 1 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 4 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 (/.f64 i n) 4))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 4 (*.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 1/2 (*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) 2)) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 1/2 (*.f64 (/.f64 2 (/.f64 i n)) (pow.f64 (+.f64 1 (/.f64 i n)) n))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4)) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) (*.f64 4 (pow.f64 (+.f64 1 (/.f64 i n)) n))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4) (/.f64 i n)) 1/4) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4)) (/.f64 1 (*.f64 2 (*.f64 (/.f64 i n) 4)))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (/.f64 4 (/.f64 i n)) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4)) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (/.f64 4 (/.f64 i n)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 8 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 2 (*.f64 (/.f64 i n) 4)))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 8 (*.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (/.f64 1/2 (/.f64 i n)) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2)) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 1 (/.f64 1 (/.f64 i n)))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 i (+.f64 n n))) (/.f64 1 (/.f64 2 (/.f64 i n)))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 i n) (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 i n) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 2)) (/.f64 (/.f64 1/2 (/.f64 i n)) (/.f64 i n))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 i n) (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n))) (/.f64 1 (/.f64 i n))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 i n) (*.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) 2)) (/.f64 1/2 (/.f64 i n))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 i n) (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 4)) (/.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) (/.f64 i n))) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
(pow.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) 1) |
(/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) |
Compiled 20305 to 13524 computations (33.4% saved)
36 alts after pruning (28 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 710 | 14 | 724 |
| Fresh | 4 | 14 | 18 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 7 | 10 |
| Total | 717 | 36 | 753 |
| Status | Error | Program |
|---|---|---|
| 30.7b | (/.f64 (+.f64 (/.f64 (*.f64 n (*.f64 (+.f64 i (-.f64 2 (/.f64 i n))) 1200)) 4) (*.f64 100 (*.f64 n (+.f64 i (-.f64 2 (/.f64 i n)))))) 8) | |
| ✓ | 30.4b | (/.f64 (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) 8) |
| 62.1b | (/.f64 (*.f64 n (*.f64 -400 (/.f64 i n))) 8) | |
| ▶ | 29.4b | (/.f64 12800 (/.f64 128 n)) |
| 29.6b | (+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 (/.f64 300 (/.f64 2 n)) 2)) | |
| 58.8b | (+.f64 (*.f64 (exp.f64 i) (*.f64 i -50)) (*.f64 (/.f64 100 i) (+.f64 (*.f64 n (+.f64 -1 (exp.f64 i))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 (pow.f64 i 4) 1/8))) n)))) | |
| 30.1b | (+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) | |
| 55.7b | (*.f64 (pow.f64 n 2) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) (/.f64 100 i))) | |
| ✓ | 47.0b | (*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
| 47.1b | (*.f64 (-.f64 (exp.f64 i) 1) (*.f64 100 (/.f64 n i))) | |
| ✓ | 47.3b | (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
| ✓ | 51.3b | (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) -1) (/.f64 100 (/.f64 i n))) |
| 30.1b | (*.f64 (+.f64 i 2) (*.f64 n 50)) | |
| ▶ | 30.2b | (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 50) |
| 55.7b | (*.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (/.f64 100 (/.f64 i n))) | |
| 46.8b | (*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) | |
| 30.1b | (*.f64 n (*.f64 50 (+.f64 i 2))) | |
| ✓ | 29.5b | (*.f64 n 100) |
| 38.9b | (*.f64 i (/.f64 100 (/.f64 i n))) | |
| ✓ | 62.1b | (*.f64 i -50) |
| ▶ | 49.3b | (*.f64 100 (/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
| ✓ | 47.3b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 55.7b | (*.f64 100 (/.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (/.f64 i n))) | |
| ✓ | 47.3b | (*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 1 (/.f64 i n)))) |
| 41.9b | (*.f64 100 (-.f64 (/.f64 2 (/.f64 1 n)) (/.f64 i (/.f64 i n)))) | |
| 61.3b | (*.f64 100 (-.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (*.f64 n i)) (+.f64 n (/.f64 n i))) (/.f64 1 (/.f64 i n)))) | |
| 47.8b | (*.f64 100 (-.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n)))) (/.f64 1 (/.f64 i n)))) | |
| 49.1b | (*.f64 100 (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))) | |
| ▶ | 29.8b | (*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
| 55.7b | (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (neg.f64 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i)))) | |
| 45.1b | (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) | |
| ▶ | 43.3b | (*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))))) |
| 38.8b | (*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) i)) | |
| 37.8b | (*.f64 100 (*.f64 1/2 (/.f64 (-.f64 (*.f64 i 3) i) (/.f64 i n)))) | |
| 55.4b | (*.f64 100 (neg.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) n)) i))) | |
| 52.0b | 0 |
Compiled 1018 to 717 computations (29.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (/.f64 12800 (/.f64 128 n)) |
Compiled 13 to 10 computations (23.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | 0 | (/.f64 12800 (/.f64 128 n)) |
| 0.0ms | n | @ | inf | (/.f64 12800 (/.f64 128 n)) |
| 0.0ms | n | @ | -inf | (/.f64 12800 (/.f64 128 n)) |
| 1× | batch-egg-rewrite |
| 1522× | rational_best-2 |
| 1522× | rational_best-3 |
| 1522× | rational_best-1 |
| 1518× | rational_best-4 |
| 1518× | exponential-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 52 | 13 |
| 2 | 120 | 13 |
| 3 | 292 | 13 |
| 4 | 982 | 13 |
| 5 | 4957 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 12800 (/.f64 128 n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 102400 (/.f64 1024 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 102400 (/.f64 1024 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 51200 (/.f64 1024 n)) (/.f64 51200 (/.f64 1024 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 25600 (/.f64 1024 n)) (+.f64 (/.f64 25600 (/.f64 1024 n)) (/.f64 51200 (/.f64 1024 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 25600 (/.f64 1024 n)) (/.f64 (/.f64 38400 (/.f64 256 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 25600 (/.f64 1024 n)) (/.f64 (/.f64 307200 (/.f64 1024 n)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 102400 (/.f64 1024 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 51200 (/.f64 1024 n)) (neg.f64 (/.f64 51200 (/.f64 1024 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 25600 (/.f64 1024 n)) (/.f64 51200 (/.f64 1024 n))) (-.f64 0 (/.f64 25600 (/.f64 1024 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 38400 (/.f64 256 n)) 2) (/.f64 (neg.f64 (/.f64 51200 (/.f64 1024 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 307200 (/.f64 1024 n)) 4) (/.f64 (/.f64 12800 (/.f64 -128 n)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 12800 (/.f64 -1 (/.f64 -128 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 102400 (/.f64 1024 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 102400 (/.f64 1024 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 25600 (/.f64 4 (/.f64 1024 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 25600 (*.f64 (/.f64 -1 (/.f64 -128 n)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 51200 (/.f64 1024 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 102400 (/.f64 1024 n)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 204800 (/.f64 1024 n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 51200 (/.f64 2 (/.f64 1024 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 51200 (*.f64 (/.f64 4 (/.f64 1024 n)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 204800 (/.f64 1024 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 -128 n)) 12800)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 1024 n)) 25600)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 1024 n)) 51200)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 102400 (/.f64 256 n)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 102400 (/.f64 1 (/.f64 1024 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 102400 (*.f64 (/.f64 2 (/.f64 1024 n)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 51200 (/.f64 1024 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 1 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 1/2 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 50 (/.f64 1 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 50 (/.f64 1/2 (/.f64 1/4 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 25 (/.f64 1 (/.f64 1/4 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/128 (/.f64 12800 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/256 (/.f64 12800 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/256 (/.f64 25600 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/512 (/.f64 12800 (/.f64 1/4 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/512 (/.f64 25600 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 200 (/.f64 1/2 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 102400 (/.f64 256 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1024 n)) 102400)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 102400 (/.f64 128 n)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 204800 (/.f64 1 (/.f64 2048 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 204800 (/.f64 1/2 (/.f64 1024 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 102400 (/.f64 1024 n)) 1))))) |
| 1× | egg-herbie |
| 1414× | rational_best-simplify-48 |
| 1348× | rational_best-simplify-52 |
| 1200× | rational_best-simplify-1 |
| 950× | rational_best-simplify-51 |
| 800× | rational_best-simplify-62 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 123 | 784 |
| 1 | 291 | 784 |
| 2 | 556 | 742 |
| 3 | 1314 | 742 |
| 4 | 4174 | 742 |
| 1× | node limit |
| 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) |
(+.f64 (/.f64 102400 (/.f64 1024 n)) 0) |
(+.f64 0 (/.f64 102400 (/.f64 1024 n))) |
(+.f64 (/.f64 51200 (/.f64 1024 n)) (/.f64 51200 (/.f64 1024 n))) |
(+.f64 (/.f64 25600 (/.f64 1024 n)) (+.f64 (/.f64 25600 (/.f64 1024 n)) (/.f64 51200 (/.f64 1024 n)))) |
(+.f64 (/.f64 25600 (/.f64 1024 n)) (/.f64 (/.f64 38400 (/.f64 256 n)) 2)) |
(+.f64 (/.f64 25600 (/.f64 1024 n)) (/.f64 (/.f64 307200 (/.f64 1024 n)) 4)) |
(-.f64 (/.f64 102400 (/.f64 1024 n)) 0) |
(-.f64 (/.f64 51200 (/.f64 1024 n)) (neg.f64 (/.f64 51200 (/.f64 1024 n)))) |
(-.f64 (+.f64 (/.f64 25600 (/.f64 1024 n)) (/.f64 51200 (/.f64 1024 n))) (-.f64 0 (/.f64 25600 (/.f64 1024 n)))) |
(-.f64 (/.f64 (/.f64 38400 (/.f64 256 n)) 2) (/.f64 (neg.f64 (/.f64 51200 (/.f64 1024 n))) 2)) |
(-.f64 (/.f64 (/.f64 307200 (/.f64 1024 n)) 4) (/.f64 (/.f64 12800 (/.f64 -128 n)) 4)) |
(*.f64 12800 (/.f64 -1 (/.f64 -128 n))) |
(*.f64 (/.f64 102400 (/.f64 1024 n)) 1) |
(*.f64 1 (/.f64 102400 (/.f64 1024 n))) |
(*.f64 25600 (/.f64 4 (/.f64 1024 n))) |
(*.f64 25600 (*.f64 (/.f64 -1 (/.f64 -128 n)) 1/2)) |
(*.f64 2 (/.f64 51200 (/.f64 1024 n))) |
(*.f64 2 (*.f64 (/.f64 102400 (/.f64 1024 n)) 1/2)) |
(*.f64 (/.f64 204800 (/.f64 1024 n)) 1/2) |
(*.f64 51200 (/.f64 2 (/.f64 1024 n))) |
(*.f64 51200 (*.f64 (/.f64 4 (/.f64 1024 n)) 1/2)) |
(*.f64 1/2 (/.f64 204800 (/.f64 1024 n))) |
(*.f64 (/.f64 -1 (/.f64 -128 n)) 12800) |
(*.f64 (/.f64 4 (/.f64 1024 n)) 25600) |
(*.f64 (/.f64 2 (/.f64 1024 n)) 51200) |
(*.f64 (/.f64 102400 (/.f64 256 n)) 1/4) |
(*.f64 102400 (/.f64 1 (/.f64 1024 n))) |
(*.f64 102400 (*.f64 (/.f64 2 (/.f64 1024 n)) 1/2)) |
(*.f64 (/.f64 51200 (/.f64 1024 n)) 2) |
(*.f64 100 (/.f64 1 (/.f64 1 n))) |
(*.f64 100 (/.f64 1/2 (/.f64 1/2 n))) |
(*.f64 50 (/.f64 1 (/.f64 1/2 n))) |
(*.f64 50 (/.f64 1/2 (/.f64 1/4 n))) |
(*.f64 25 (/.f64 1 (/.f64 1/4 n))) |
(*.f64 1/128 (/.f64 12800 (/.f64 1 n))) |
(*.f64 1/256 (/.f64 12800 (/.f64 1/2 n))) |
(*.f64 1/256 (/.f64 25600 (/.f64 1 n))) |
(*.f64 1/512 (/.f64 12800 (/.f64 1/4 n))) |
(*.f64 1/512 (/.f64 25600 (/.f64 1/2 n))) |
(*.f64 200 (/.f64 1/2 (/.f64 1 n))) |
(*.f64 1/4 (/.f64 102400 (/.f64 256 n))) |
(*.f64 (/.f64 1 (/.f64 1024 n)) 102400) |
(*.f64 (/.f64 102400 (/.f64 128 n)) 1/8) |
(*.f64 204800 (/.f64 1 (/.f64 2048 n))) |
(*.f64 204800 (/.f64 1/2 (/.f64 1024 n))) |
(pow.f64 (/.f64 102400 (/.f64 1024 n)) 1) |
| 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) |
(+.f64 (/.f64 102400 (/.f64 1024 n)) 0) |
(/.f64 102400 (/.f64 1024 n)) |
(+.f64 0 (/.f64 102400 (/.f64 1024 n))) |
(/.f64 102400 (/.f64 1024 n)) |
(+.f64 (/.f64 51200 (/.f64 1024 n)) (/.f64 51200 (/.f64 1024 n))) |
(/.f64 102400 (/.f64 1024 n)) |
(+.f64 (/.f64 25600 (/.f64 1024 n)) (+.f64 (/.f64 25600 (/.f64 1024 n)) (/.f64 51200 (/.f64 1024 n)))) |
(/.f64 102400 (/.f64 1024 n)) |
(+.f64 (/.f64 25600 (/.f64 1024 n)) (/.f64 (/.f64 38400 (/.f64 256 n)) 2)) |
(/.f64 102400 (/.f64 1024 n)) |
(+.f64 (/.f64 25600 (/.f64 1024 n)) (/.f64 (/.f64 307200 (/.f64 1024 n)) 4)) |
(/.f64 102400 (/.f64 1024 n)) |
(-.f64 (/.f64 102400 (/.f64 1024 n)) 0) |
(/.f64 102400 (/.f64 1024 n)) |
(-.f64 (/.f64 51200 (/.f64 1024 n)) (neg.f64 (/.f64 51200 (/.f64 1024 n)))) |
(/.f64 102400 (/.f64 1024 n)) |
(-.f64 (+.f64 (/.f64 25600 (/.f64 1024 n)) (/.f64 51200 (/.f64 1024 n))) (-.f64 0 (/.f64 25600 (/.f64 1024 n)))) |
(/.f64 102400 (/.f64 1024 n)) |
(-.f64 (/.f64 (/.f64 38400 (/.f64 256 n)) 2) (/.f64 (neg.f64 (/.f64 51200 (/.f64 1024 n))) 2)) |
(/.f64 102400 (/.f64 1024 n)) |
(-.f64 (/.f64 (/.f64 307200 (/.f64 1024 n)) 4) (/.f64 (/.f64 12800 (/.f64 -128 n)) 4)) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 3200 (/.f64 -128 n))) |
(-.f64 (/.f64 38400 (/.f64 512 n)) (/.f64 3200 (/.f64 -128 n))) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 12800 (/.f64 -1 (/.f64 -128 n))) |
(*.f64 25600 (/.f64 -1 (/.f64 -256 n))) |
(neg.f64 (/.f64 12800 (/.f64 -128 n))) |
(neg.f64 (/.f64 25600 (/.f64 -256 n))) |
(*.f64 (/.f64 102400 (/.f64 1024 n)) 1) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 1 (/.f64 102400 (/.f64 1024 n))) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 25600 (/.f64 4 (/.f64 1024 n))) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 25600 (*.f64 (/.f64 -1 (/.f64 -128 n)) 1/2)) |
(*.f64 12800 (/.f64 -1 (/.f64 -128 n))) |
(*.f64 25600 (/.f64 -1 (/.f64 -256 n))) |
(neg.f64 (/.f64 12800 (/.f64 -128 n))) |
(neg.f64 (/.f64 25600 (/.f64 -256 n))) |
(*.f64 2 (/.f64 51200 (/.f64 1024 n))) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 2 (*.f64 (/.f64 102400 (/.f64 1024 n)) 1/2)) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 (/.f64 204800 (/.f64 1024 n)) 1/2) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 51200 (/.f64 2 (/.f64 1024 n))) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 51200 (*.f64 (/.f64 4 (/.f64 1024 n)) 1/2)) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 1/2 (/.f64 204800 (/.f64 1024 n))) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 (/.f64 -1 (/.f64 -128 n)) 12800) |
(*.f64 12800 (/.f64 -1 (/.f64 -128 n))) |
(*.f64 25600 (/.f64 -1 (/.f64 -256 n))) |
(neg.f64 (/.f64 12800 (/.f64 -128 n))) |
(neg.f64 (/.f64 25600 (/.f64 -256 n))) |
(*.f64 (/.f64 4 (/.f64 1024 n)) 25600) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 (/.f64 2 (/.f64 1024 n)) 51200) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 (/.f64 102400 (/.f64 256 n)) 1/4) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 102400 (/.f64 1 (/.f64 1024 n))) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 102400 (*.f64 (/.f64 2 (/.f64 1024 n)) 1/2)) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 (/.f64 51200 (/.f64 1024 n)) 2) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 100 (/.f64 1 (/.f64 1 n))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 100 (/.f64 1/2 (/.f64 1/2 n))) |
(*.f64 100 (/.f64 1 (/.f64 1 n))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 50 (/.f64 1 (/.f64 1/2 n))) |
(*.f64 100 (/.f64 1 (/.f64 1 n))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 50 (/.f64 1/2 (/.f64 1/4 n))) |
(*.f64 100 (/.f64 1 (/.f64 1 n))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 25 (/.f64 1 (/.f64 1/4 n))) |
(*.f64 100 (/.f64 1 (/.f64 1 n))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 1/128 (/.f64 12800 (/.f64 1 n))) |
(*.f64 12800 (/.f64 1/128 (/.f64 1 n))) |
(*.f64 12800 (/.f64 1/256 (/.f64 1/2 n))) |
(*.f64 102400 (/.f64 1/256 (/.f64 4 n))) |
(*.f64 51200 (/.f64 1/512 (/.f64 1 n))) |
(*.f64 1/256 (/.f64 12800 (/.f64 1/2 n))) |
(*.f64 12800 (/.f64 1/128 (/.f64 1 n))) |
(*.f64 12800 (/.f64 1/256 (/.f64 1/2 n))) |
(*.f64 102400 (/.f64 1/256 (/.f64 4 n))) |
(*.f64 51200 (/.f64 1/512 (/.f64 1 n))) |
(*.f64 1/256 (/.f64 25600 (/.f64 1 n))) |
(*.f64 12800 (/.f64 1/128 (/.f64 1 n))) |
(*.f64 12800 (/.f64 1/256 (/.f64 1/2 n))) |
(*.f64 102400 (/.f64 1/256 (/.f64 4 n))) |
(*.f64 51200 (/.f64 1/512 (/.f64 1 n))) |
(*.f64 1/512 (/.f64 12800 (/.f64 1/4 n))) |
(*.f64 12800 (/.f64 1/128 (/.f64 1 n))) |
(*.f64 12800 (/.f64 1/256 (/.f64 1/2 n))) |
(*.f64 102400 (/.f64 1/256 (/.f64 4 n))) |
(*.f64 51200 (/.f64 1/512 (/.f64 1 n))) |
(*.f64 1/512 (/.f64 25600 (/.f64 1/2 n))) |
(*.f64 12800 (/.f64 1/128 (/.f64 1 n))) |
(*.f64 12800 (/.f64 1/256 (/.f64 1/2 n))) |
(*.f64 102400 (/.f64 1/256 (/.f64 4 n))) |
(*.f64 51200 (/.f64 1/512 (/.f64 1 n))) |
(*.f64 200 (/.f64 1/2 (/.f64 1 n))) |
(*.f64 100 (/.f64 1 (/.f64 1 n))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 1/4 (/.f64 102400 (/.f64 256 n))) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 (/.f64 1 (/.f64 1024 n)) 102400) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 (/.f64 102400 (/.f64 128 n)) 1/8) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 204800 (/.f64 1 (/.f64 2048 n))) |
(/.f64 102400 (/.f64 1024 n)) |
(*.f64 204800 (/.f64 1/2 (/.f64 1024 n))) |
(/.f64 102400 (/.f64 1024 n)) |
(pow.f64 (/.f64 102400 (/.f64 1024 n)) 1) |
(/.f64 102400 (/.f64 1024 n)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
Compiled 21 to 14 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | 0 | (*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
| 0.0ms | i | @ | inf | (*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
| 0.0ms | i | @ | 0 | (*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
| 0.0ms | i | @ | -inf | (*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
| 0.0ms | n | @ | -inf | (*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
| 1× | batch-egg-rewrite |
| 1200× | rational_best-simplify-86 |
| 690× | rational_best-simplify-83 |
| 610× | rational_best-simplify-47 |
| 530× | rational_best-simplify-48 |
| 518× | rational_best-simplify-52 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 62 | 19 |
| 2 | 121 | 19 |
| 3 | 298 | 19 |
| 4 | 1014 | 19 |
| 5 | 6449 | 19 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 100 (+.f64 n (*.f64 -1/2 i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2) (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4) (+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4) (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4) (/.f64 (/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 300) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4) (/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 300) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) (+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) -2) (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2) (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4) (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2)) (neg.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 300) 2) 2) (/.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 300) 4) (/.f64 (neg.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 200) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 400) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) (*.f64 (+.f64 n (-.f64 n i)) 400)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 1))))) |
| 1× | egg-herbie |
| 1016× | rational_best-simplify-57 |
| 924× | rational_best-simplify-62 |
| 892× | rational_best-simplify-108 |
| 884× | rational_best-simplify-49 |
| 752× | rational_best-simplify-64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 738 |
| 1 | 144 | 738 |
| 2 | 361 | 738 |
| 3 | 1492 | 738 |
| 4 | 5747 | 738 |
| 5 | 7886 | 738 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -50 i) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(*.f64 100 n) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(*.f64 100 n) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(*.f64 100 n) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(*.f64 -50 i) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(*.f64 -50 i) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 0) |
(+.f64 0 (*.f64 100 (+.f64 n (*.f64 -1/2 i)))) |
(+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2) (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2)) |
(+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4) (+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4) (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2))) |
(+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4) (/.f64 (/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 300) 2) 2)) |
(+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4) (/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 300) 4)) |
(-.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 0) |
(-.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) (+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) -2) (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2))) |
(-.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2) (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) -2)) |
(-.f64 (+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4) (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2)) (neg.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 300) 2) 2) (/.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) -2) 2)) |
(-.f64 (/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 300) 4) (/.f64 (neg.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i)))) 4)) |
(/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 1) |
(/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 200) 2) |
(/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 400) 4) |
(/.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) 8) |
(/.f64 (+.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) (*.f64 (+.f64 n (-.f64 n i)) 400)) 16) |
(pow.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 1) |
| Outputs |
|---|
(*.f64 -50 i) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(*.f64 100 n) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(*.f64 100 n) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(*.f64 100 n) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(*.f64 -50 i) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(*.f64 -50 i) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(+.f64 (*.f64 -50 i) (*.f64 100 n)) |
(+.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 0) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
(+.f64 0 (*.f64 100 (+.f64 n (*.f64 -1/2 i)))) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
(+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2) (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2)) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
(+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4) (+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4) (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2))) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
(+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4) (/.f64 (/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 300) 2) 2)) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
(+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4) (/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 300) 4)) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
(-.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 0) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
(-.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) (+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) -2) (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2))) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
(-.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2) (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) -2)) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
(-.f64 (+.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4) (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 2)) (neg.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 4))) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 300) 2) 2) (/.f64 (/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) -2) 2)) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
(-.f64 (/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 300) 4) (/.f64 (neg.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i)))) 4)) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
(/.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 1) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
(/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 200) 2) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
(/.f64 (*.f64 (+.f64 n (*.f64 -1/2 i)) 400) 4) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
(/.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) 8) |
(/.f64 (*.f64 400 (+.f64 n (-.f64 n i))) 8) |
(/.f64 (+.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) (*.f64 (+.f64 n (-.f64 n i)) 400)) 16) |
(/.f64 (*.f64 400 (+.f64 n (-.f64 n i))) 8) |
(pow.f64 (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 1) |
(*.f64 100 (+.f64 n (*.f64 i -1/2))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 i 2) (/.f64 i n)) |
| ✓ | 0.1b | (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 50) |
| ✓ | 4.2b | (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) |
Compiled 39 to 20 computations (48.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | -inf | (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) |
| 0.0ms | i | @ | -inf | (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) |
| 0.0ms | n | @ | 0 | (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) |
| 0.0ms | i | @ | inf | (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) |
| 0.0ms | n | @ | inf | (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) |
| 1× | batch-egg-rewrite |
| 1262× | rational_best-4 |
| 1262× | rational_best-2 |
| 1262× | rational_best-3 |
| 1262× | rational_best-1 |
| 1262× | exponential-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 75 |
| 1 | 74 | 75 |
| 2 | 157 | 75 |
| 3 | 521 | 75 |
| 4 | 2929 | 75 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) |
(*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 50) |
(-.f64 (+.f64 i 2) (/.f64 i n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 2) (/.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 2) (/.f64 (*.f64 n (+.f64 -2 (-.f64 (/.f64 i n) i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) (+.f64 n n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (+.f64 -2 (-.f64 (/.f64 i n) i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) (*.f64 n 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 n n) (+.f64 -2 (-.f64 (/.f64 i n) i))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) (*.f64 n 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n 4) (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) (*.f64 2 (*.f64 n 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) (*.f64 n -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (*.f64 -2 (-.f64 2 (-.f64 (/.f64 i n) i)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (-.f64 (*.f64 (/.f64 i n) 4) (*.f64 (+.f64 i 2) 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) (neg.f64 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) (neg.f64 (*.f64 n 4))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (/.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) n)) (neg.f64 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (/.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) (+.f64 n n))) (neg.f64 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (/.f64 (*.f64 -2 (-.f64 2 (-.f64 (/.f64 i n) i))) n)) (neg.f64 (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (*.f64 (*.f64 -2 (-.f64 2 (-.f64 (/.f64 i n) i))) 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 n (+.f64 -2 (-.f64 (/.f64 i n) i)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 50)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 50)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 100)) 4) (/.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 100)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 50)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 100)) 4) (/.f64 (*.f64 (*.f64 n 50) (+.f64 -2 (-.f64 (/.f64 i n) i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 50)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 100)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n 50) (+.f64 -2 (-.f64 (/.f64 i n) i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 200) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) (+.f64 n n)) 200) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) (*.f64 n 100)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 50)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 n 50) (+.f64 -2 (-.f64 (/.f64 i n) i)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 i (+.f64 2 (/.f64 i (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (-.f64 i (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 i 2) (/.f64 i (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 2 (-.f64 (/.f64 i n) i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 i 1) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 i (/.f64 i n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i (neg.f64 n)) (+.f64 i 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 i 1) (+.f64 1 (/.f64 i (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 i (+.f64 i 4)) (/.f64 i n)) (neg.f64 (+.f64 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 i (/.f64 i n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 2) (/.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 i (+.f64 -2 (/.f64 i (+.f64 n n)))) (/.f64 i (*.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 i (*.f64 n -2)) (-.f64 i (+.f64 -2 (/.f64 i (+.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 i 2)) (-.f64 (+.f64 i (+.f64 i 4)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 i 2)) (-.f64 (+.f64 1 (/.f64 i 2)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 i 2)) (+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 i (/.f64 i (+.f64 n n))) (-.f64 2 (/.f64 i (+.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (/.f64 i (+.f64 n n))) (-.f64 i (/.f64 i (+.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 2 (/.f64 i (neg.f64 n))) i)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 i (neg.f64 n))) (+.f64 i 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 i 1) (/.f64 i n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) (-.f64 (/.f64 i 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 i 2) -2) (-.f64 (/.f64 i 2) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (/.f64 i n) -2)) (neg.f64 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (neg.f64 i)) (neg.f64 (+.f64 (/.f64 i n) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 1 (/.f64 i 2)) (/.f64 i n)) (+.f64 1 (/.f64 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 i (/.f64 i (+.f64 n n))) 1) (+.f64 (/.f64 i (*.f64 n -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (/.f64 i 2) (/.f64 i (+.f64 n n))) 1) (+.f64 (-.f64 (/.f64 i 2) (/.f64 i (+.f64 n n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 i (/.f64 i n)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) 1) (+.f64 1 (/.f64 i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 2 (-.f64 (/.f64 i n) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 2 (-.f64 (/.f64 i n) i))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -2 (-.f64 (/.f64 i n) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 2 (-.f64 (/.f64 i n) i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (+.f64 i 2) 4) (*.f64 2 (+.f64 (+.f64 i 2) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 2 (-.f64 (/.f64 i n) i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -2 (-.f64 (/.f64 i n) i))))))) |
| 1× | egg-herbie |
| 1434× | rational_best-simplify-57 |
| 942× | rational_best-simplify-54 |
| 874× | rational_best-simplify-50 |
| 828× | rational_best-simplify-3 |
| 702× | rational_best-simplify-1 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 4637 |
| 1 | 561 | 4413 |
| 2 | 1576 | 4359 |
| 3 | 5164 | 3759 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 i) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(*.f64 (+.f64 2 i) n) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(*.f64 (+.f64 2 i) n) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(*.f64 2 n) |
(+.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) (*.f64 2 n)) |
(+.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) (*.f64 2 n)) |
(+.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) (*.f64 2 n)) |
(*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) (*.f64 2 n)) |
(+.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) (*.f64 2 n)) |
(+.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) (*.f64 2 n)) |
(*.f64 -1 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(+.f64 (*.f64 -1 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) (*.f64 2 n)) |
(+.f64 (*.f64 -1 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) (*.f64 2 n)) |
(+.f64 (*.f64 -1 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) (*.f64 2 n)) |
(*.f64 -50 i) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(*.f64 50 (*.f64 n (+.f64 2 i))) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(*.f64 50 (*.f64 n (+.f64 2 i))) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(*.f64 100 n) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(*.f64 -50 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(+.f64 (*.f64 -50 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) (*.f64 100 n)) |
(+.f64 (*.f64 -50 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) (*.f64 100 n)) |
(+.f64 (*.f64 -50 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) (*.f64 100 n)) |
2 |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(*.f64 i (-.f64 1 (/.f64 1 n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 n) 1) i)) |
(+.f64 2 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(+.f64 2 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(+.f64 2 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(*.f64 -1 (/.f64 i n)) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 2 i) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 2 i) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 0) |
(+.f64 0 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i)))) |
(+.f64 (/.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 2) (/.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 2)) |
(-.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 0) |
(-.f64 (/.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 2) (/.f64 (*.f64 n (+.f64 -2 (-.f64 (/.f64 i n) i))) 2)) |
(/.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 1) |
(/.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) (+.f64 n n)) 2) |
(/.f64 (*.f64 n (+.f64 -2 (-.f64 (/.f64 i n) i))) -1) |
(/.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) (*.f64 n 4)) 4) |
(/.f64 (*.f64 (+.f64 n n) (+.f64 -2 (-.f64 (/.f64 i n) i))) -2) |
(/.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) (*.f64 n 4)) -4) |
(/.f64 (*.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 8) 8) |
(/.f64 (*.f64 (*.f64 n 4) (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 4)) 16) |
(/.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) (*.f64 2 (*.f64 n 4))) -8) |
(/.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) (*.f64 n -2)) -2) |
(/.f64 (*.f64 n (*.f64 -2 (-.f64 2 (-.f64 (/.f64 i n) i)))) -2) |
(/.f64 (*.f64 n (-.f64 (*.f64 (/.f64 i n) 4) (*.f64 (+.f64 i 2) 4))) -4) |
(/.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) (neg.f64 n)) -1) |
(/.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) (neg.f64 (*.f64 n 4))) -4) |
(/.f64 (*.f64 n (/.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) n)) (neg.f64 (/.f64 1 n))) |
(/.f64 (*.f64 n (/.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) (+.f64 n n))) (neg.f64 (/.f64 1/2 n))) |
(/.f64 (*.f64 n (/.f64 (*.f64 -2 (-.f64 2 (-.f64 (/.f64 i n) i))) n)) (neg.f64 (/.f64 2 n))) |
(/.f64 (*.f64 n (*.f64 (*.f64 -2 (-.f64 2 (-.f64 (/.f64 i n) i))) 2)) -4) |
(pow.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 1) |
(neg.f64 (*.f64 n (+.f64 -2 (-.f64 (/.f64 i n) i)))) |
(+.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 50)) 0) |
(+.f64 0 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 50))) |
(+.f64 (/.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 100)) 4) (/.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 100)) 4)) |
(-.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 50)) 0) |
(-.f64 (/.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 100)) 4) (/.f64 (*.f64 (*.f64 n 50) (+.f64 -2 (-.f64 (/.f64 i n) i))) 2)) |
(/.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 50)) 1) |
(/.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 100)) 2) |
(/.f64 (*.f64 (*.f64 n 50) (+.f64 -2 (-.f64 (/.f64 i n) i))) -1) |
(/.f64 (*.f64 (*.f64 n (-.f64 2 (-.f64 (/.f64 i n) i))) 200) 4) |
(/.f64 (*.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) (+.f64 n n)) 200) 8) |
(/.f64 (*.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) (*.f64 n 100)) -2) |
(pow.f64 (*.f64 n (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 50)) 1) |
(neg.f64 (*.f64 (*.f64 n 50) (+.f64 -2 (-.f64 (/.f64 i n) i)))) |
(+.f64 i (+.f64 2 (/.f64 i (neg.f64 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 (+.f64 i 2) (/.f64 i (neg.f64 n))) |
(+.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 0) |
(+.f64 0 (-.f64 2 (-.f64 (/.f64 i n) i))) |
(+.f64 1 (-.f64 (+.f64 i 1) (/.f64 i n))) |
(+.f64 1 (+.f64 (-.f64 i (/.f64 i n)) 1)) |
(+.f64 (/.f64 i (neg.f64 n)) (+.f64 i 2)) |
(+.f64 (+.f64 i 1) (+.f64 1 (/.f64 i (neg.f64 n)))) |
(+.f64 (-.f64 (+.f64 i (+.f64 i 4)) (/.f64 i n)) (neg.f64 (+.f64 i 2))) |
(+.f64 (-.f64 i (/.f64 i n)) 2) |
(+.f64 (/.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 2) (/.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 2)) |
(+.f64 (-.f64 i (+.f64 -2 (/.f64 i (+.f64 n n)))) (/.f64 i (*.f64 n -2))) |
(+.f64 (/.f64 i (*.f64 n -2)) (-.f64 i (+.f64 -2 (/.f64 i (+.f64 n n))))) |
(+.f64 (neg.f64 (+.f64 i 2)) (-.f64 (+.f64 i (+.f64 i 4)) (/.f64 i n))) |
(+.f64 (+.f64 1 (/.f64 i 2)) (-.f64 (+.f64 1 (/.f64 i 2)) (/.f64 i n))) |
(+.f64 (+.f64 1 (/.f64 i 2)) (+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) 1)) |
(+.f64 (-.f64 i (/.f64 i (+.f64 n n))) (-.f64 2 (/.f64 i (+.f64 n n)))) |
(+.f64 (-.f64 2 (/.f64 i (+.f64 n n))) (-.f64 i (/.f64 i (+.f64 n n)))) |
(+.f64 (+.f64 2 (/.f64 i (neg.f64 n))) i) |
(+.f64 (+.f64 1 (/.f64 i (neg.f64 n))) (+.f64 i 1)) |
(+.f64 (-.f64 (+.f64 i 1) (/.f64 i n)) 1) |
(+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) (-.f64 (/.f64 i 2) -2)) |
(+.f64 (-.f64 (/.f64 i 2) -2) (-.f64 (/.f64 i 2) (/.f64 i n))) |
(+.f64 (neg.f64 (+.f64 (/.f64 i n) -2)) (neg.f64 (neg.f64 i))) |
(+.f64 (neg.f64 (neg.f64 i)) (neg.f64 (+.f64 (/.f64 i n) -2))) |
(+.f64 (-.f64 (+.f64 1 (/.f64 i 2)) (/.f64 i n)) (+.f64 1 (/.f64 i 2))) |
(+.f64 (+.f64 (-.f64 i (/.f64 i (+.f64 n n))) 1) (+.f64 (/.f64 i (*.f64 n -2)) 1)) |
(+.f64 (+.f64 (-.f64 (/.f64 i 2) (/.f64 i (+.f64 n n))) 1) (+.f64 (-.f64 (/.f64 i 2) (/.f64 i (+.f64 n n))) 1)) |
(+.f64 (+.f64 (-.f64 i (/.f64 i n)) 1) 1) |
(+.f64 (+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) 1) (+.f64 1 (/.f64 i 2))) |
(*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 1) |
(*.f64 1 (-.f64 2 (-.f64 (/.f64 i n) i))) |
(*.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) -1) |
(*.f64 (*.f64 2 (-.f64 2 (-.f64 (/.f64 i n) i))) 1/2) |
(*.f64 -1 (+.f64 -2 (-.f64 (/.f64 i n) i))) |
(*.f64 1/2 (*.f64 2 (-.f64 2 (-.f64 (/.f64 i n) i)))) |
(*.f64 1/2 (-.f64 (*.f64 (+.f64 i 2) 4) (*.f64 2 (+.f64 (+.f64 i 2) (/.f64 i n))))) |
(*.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 4) 1/4) |
(*.f64 1/4 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 4)) |
(/.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 1) |
(/.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) -1) |
(/.f64 (*.f64 2 (-.f64 2 (-.f64 (/.f64 i n) i))) 2) |
(/.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 4) 4) |
(/.f64 (*.f64 2 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 4)) 8) |
(pow.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 1) |
(neg.f64 (+.f64 -2 (-.f64 (/.f64 i n) i))) |
| Outputs |
|---|
(*.f64 -1 i) |
(neg.f64 i) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(+.f64 (neg.f64 i) (*.f64 n (+.f64 i 2))) |
(-.f64 (*.f64 n (+.f64 i 2)) i) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(+.f64 (neg.f64 i) (*.f64 n (+.f64 i 2))) |
(-.f64 (*.f64 n (+.f64 i 2)) i) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(+.f64 (neg.f64 i) (*.f64 n (+.f64 i 2))) |
(-.f64 (*.f64 n (+.f64 i 2)) i) |
(*.f64 (+.f64 2 i) n) |
(*.f64 n (+.f64 i 2)) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(+.f64 (neg.f64 i) (*.f64 n (+.f64 i 2))) |
(-.f64 (*.f64 n (+.f64 i 2)) i) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(+.f64 (neg.f64 i) (*.f64 n (+.f64 i 2))) |
(-.f64 (*.f64 n (+.f64 i 2)) i) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(+.f64 (neg.f64 i) (*.f64 n (+.f64 i 2))) |
(-.f64 (*.f64 n (+.f64 i 2)) i) |
(*.f64 (+.f64 2 i) n) |
(*.f64 n (+.f64 i 2)) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(+.f64 (neg.f64 i) (*.f64 n (+.f64 i 2))) |
(-.f64 (*.f64 n (+.f64 i 2)) i) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(+.f64 (neg.f64 i) (*.f64 n (+.f64 i 2))) |
(-.f64 (*.f64 n (+.f64 i 2)) i) |
(+.f64 (*.f64 (+.f64 2 i) n) (*.f64 -1 i)) |
(+.f64 (neg.f64 i) (*.f64 n (+.f64 i 2))) |
(-.f64 (*.f64 n (+.f64 i 2)) i) |
(*.f64 2 n) |
(+.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) (*.f64 2 n)) |
(+.f64 (*.f64 2 n) (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (-.f64 i (/.f64 i n)))) |
(+.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) (*.f64 2 n)) |
(+.f64 (*.f64 2 n) (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (-.f64 i (/.f64 i n)))) |
(+.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) (*.f64 2 n)) |
(+.f64 (*.f64 2 n) (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (-.f64 i (/.f64 i n)))) |
(*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(*.f64 (-.f64 1 (/.f64 1 n)) (*.f64 i n)) |
(*.f64 i (*.f64 n (-.f64 1 (/.f64 1 n)))) |
(*.f64 n (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) (*.f64 2 n)) |
(+.f64 (*.f64 2 n) (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (-.f64 i (/.f64 i n)))) |
(+.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) (*.f64 2 n)) |
(+.f64 (*.f64 2 n) (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (-.f64 i (/.f64 i n)))) |
(+.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) (*.f64 2 n)) |
(+.f64 (*.f64 2 n) (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (-.f64 i (/.f64 i n)))) |
(*.f64 -1 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(*.f64 (-.f64 1 (/.f64 1 n)) (*.f64 i n)) |
(*.f64 i (*.f64 n (-.f64 1 (/.f64 1 n)))) |
(*.f64 n (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 -1 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) (*.f64 2 n)) |
(+.f64 (*.f64 2 n) (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (-.f64 i (/.f64 i n)))) |
(+.f64 (*.f64 -1 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) (*.f64 2 n)) |
(+.f64 (*.f64 2 n) (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (-.f64 i (/.f64 i n)))) |
(+.f64 (*.f64 -1 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) (*.f64 2 n)) |
(+.f64 (*.f64 2 n) (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 n (+.f64 2 (-.f64 i (/.f64 i n)))) |
(*.f64 -50 i) |
(*.f64 i -50) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 50 (*.f64 n (+.f64 i 2)))) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 50 (*.f64 n (+.f64 i 2)))) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 50 (*.f64 n (+.f64 i 2)))) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(*.f64 50 (*.f64 n (+.f64 2 i))) |
(*.f64 50 (*.f64 n (+.f64 i 2))) |
(*.f64 (+.f64 i 2) (*.f64 n 50)) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 50 (*.f64 n (+.f64 i 2)))) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 50 (*.f64 n (+.f64 i 2)))) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 50 (*.f64 n (+.f64 i 2)))) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(*.f64 50 (*.f64 n (+.f64 2 i))) |
(*.f64 50 (*.f64 n (+.f64 i 2))) |
(*.f64 (+.f64 i 2) (*.f64 n 50)) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 50 (*.f64 n (+.f64 i 2)))) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 50 (*.f64 n (+.f64 i 2)))) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(+.f64 (*.f64 50 (*.f64 n (+.f64 2 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 i -50) (*.f64 50 (*.f64 n (+.f64 i 2)))) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(*.f64 100 n) |
(*.f64 n 100) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) 50)) |
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 (*.f64 i (-.f64 1 (/.f64 1 n))) 50))) |
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 (-.f64 1 (/.f64 1 n)) (*.f64 i 50)))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 n 50) (-.f64 i (/.f64 i n)))) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) 50)) |
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 (*.f64 i (-.f64 1 (/.f64 1 n))) 50))) |
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 (-.f64 1 (/.f64 1 n)) (*.f64 i 50)))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 n 50) (-.f64 i (/.f64 i n)))) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) 50)) |
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 (*.f64 i (-.f64 1 (/.f64 1 n))) 50))) |
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 (-.f64 1 (/.f64 1 n)) (*.f64 i 50)))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 n 50) (-.f64 i (/.f64 i n)))) |
(*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) |
(*.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) 50) |
(*.f64 n (*.f64 (*.f64 i (-.f64 1 (/.f64 1 n))) 50)) |
(*.f64 n (*.f64 (-.f64 1 (/.f64 1 n)) (*.f64 i 50))) |
(*.f64 (*.f64 n 50) (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) 50)) |
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 (*.f64 i (-.f64 1 (/.f64 1 n))) 50))) |
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 (-.f64 1 (/.f64 1 n)) (*.f64 i 50)))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 n 50) (-.f64 i (/.f64 i n)))) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) 50)) |
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 (*.f64 i (-.f64 1 (/.f64 1 n))) 50))) |
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 (-.f64 1 (/.f64 1 n)) (*.f64 i 50)))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 n 50) (-.f64 i (/.f64 i n)))) |
(+.f64 (*.f64 50 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n))))) (*.f64 100 n)) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 n (*.f64 i (-.f64 1 (/.f64 1 n)))) 50)) |
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 (*.f64 i (-.f64 1 (/.f64 1 n))) 50))) |
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 (-.f64 1 (/.f64 1 n)) (*.f64 i 50)))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 n 50) (-.f64 i (/.f64 i n)))) |
(*.f64 -50 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(*.f64 (*.f64 i (+.f64 (/.f64 1 n) -1)) (*.f64 n -50)) |
(*.f64 (*.f64 i (+.f64 -1 (/.f64 1 n))) (*.f64 n -50)) |
(*.f64 i (*.f64 (*.f64 n (+.f64 -1 (/.f64 1 n))) -50)) |
(*.f64 n (*.f64 -50 (-.f64 (/.f64 i n) i))) |
(+.f64 (*.f64 -50 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) (*.f64 100 n)) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 i (+.f64 (/.f64 1 n) -1)) (*.f64 n -50))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 i (+.f64 -1 (/.f64 1 n))) (*.f64 n -50))) |
(+.f64 (*.f64 n 100) (*.f64 i (*.f64 (*.f64 n (+.f64 -1 (/.f64 1 n))) -50))) |
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 -50 (-.f64 (/.f64 i n) i)))) |
(+.f64 (*.f64 -50 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) (*.f64 100 n)) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 i (+.f64 (/.f64 1 n) -1)) (*.f64 n -50))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 i (+.f64 -1 (/.f64 1 n))) (*.f64 n -50))) |
(+.f64 (*.f64 n 100) (*.f64 i (*.f64 (*.f64 n (+.f64 -1 (/.f64 1 n))) -50))) |
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 -50 (-.f64 (/.f64 i n) i)))) |
(+.f64 (*.f64 -50 (*.f64 n (*.f64 (-.f64 (/.f64 1 n) 1) i))) (*.f64 100 n)) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 i (+.f64 (/.f64 1 n) -1)) (*.f64 n -50))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 i (+.f64 -1 (/.f64 1 n))) (*.f64 n -50))) |
(+.f64 (*.f64 n 100) (*.f64 i (*.f64 (*.f64 n (+.f64 -1 (/.f64 1 n))) -50))) |
(+.f64 (*.f64 n 100) (*.f64 n (*.f64 -50 (-.f64 (/.f64 i n) i)))) |
2 |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(*.f64 i (-.f64 1 (/.f64 1 n))) |
(-.f64 i (/.f64 i n)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 n) 1) i)) |
(*.f64 i (-.f64 1 (/.f64 1 n))) |
(-.f64 i (/.f64 i n)) |
(+.f64 2 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 2 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 2 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 n) 1) i))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(*.f64 -1 (/.f64 i n)) |
(neg.f64 (/.f64 i n)) |
(/.f64 i (neg.f64 n)) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 -1 (/.f64 i n)) (+.f64 2 i)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
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(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 (-.f64 (+.f64 i 1) (/.f64 i n)) 1) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) (-.f64 (/.f64 i 2) -2)) |
(+.f64 (-.f64 (/.f64 i 2) -2) (-.f64 (/.f64 i 2) (/.f64 i n))) |
(+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) (-.f64 (/.f64 i 2) -2)) |
(+.f64 (neg.f64 (+.f64 (/.f64 i n) -2)) (neg.f64 (neg.f64 i))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 (neg.f64 (neg.f64 i)) (neg.f64 (+.f64 (/.f64 i n) -2))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 (-.f64 (+.f64 1 (/.f64 i 2)) (/.f64 i n)) (+.f64 1 (/.f64 i 2))) |
(+.f64 (+.f64 1 (/.f64 i 2)) (-.f64 (+.f64 1 (/.f64 i 2)) (/.f64 i n))) |
(+.f64 (/.f64 i 2) (+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) 2)) |
(+.f64 (/.f64 i 2) (+.f64 2 (-.f64 (/.f64 i 2) (/.f64 i n)))) |
(+.f64 (+.f64 (-.f64 i (/.f64 i (+.f64 n n))) 1) (+.f64 (/.f64 i (*.f64 n -2)) 1)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 (+.f64 (-.f64 (/.f64 i 2) (/.f64 i (+.f64 n n))) 1) (+.f64 (-.f64 (/.f64 i 2) (/.f64 i (+.f64 n n))) 1)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 (+.f64 (-.f64 i (/.f64 i n)) 1) 1) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(+.f64 (+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) 1) (+.f64 1 (/.f64 i 2))) |
(+.f64 (+.f64 1 (/.f64 i 2)) (-.f64 (+.f64 1 (/.f64 i 2)) (/.f64 i n))) |
(+.f64 (/.f64 i 2) (+.f64 (-.f64 (/.f64 i 2) (/.f64 i n)) 2)) |
(+.f64 (/.f64 i 2) (+.f64 2 (-.f64 (/.f64 i 2) (/.f64 i n)))) |
(*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 1) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(*.f64 1 (-.f64 2 (-.f64 (/.f64 i n) i))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(*.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) -1) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(*.f64 (*.f64 2 (-.f64 2 (-.f64 (/.f64 i n) i))) 1/2) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(*.f64 -1 (+.f64 -2 (-.f64 (/.f64 i n) i))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(*.f64 1/2 (*.f64 2 (-.f64 2 (-.f64 (/.f64 i n) i)))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(*.f64 1/2 (-.f64 (*.f64 (+.f64 i 2) 4) (*.f64 2 (+.f64 (+.f64 i 2) (/.f64 i n))))) |
(*.f64 1/2 (-.f64 (*.f64 4 (+.f64 i 2)) (*.f64 2 (+.f64 (/.f64 i n) (+.f64 i 2))))) |
(*.f64 1/2 (-.f64 (*.f64 4 (+.f64 i 2)) (*.f64 2 (+.f64 i (+.f64 2 (/.f64 i n)))))) |
(*.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 4) 1/4) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(*.f64 1/4 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 4)) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(/.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 1) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(/.f64 (+.f64 -2 (-.f64 (/.f64 i n) i)) -1) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(/.f64 (*.f64 2 (-.f64 2 (-.f64 (/.f64 i n) i))) 2) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(/.f64 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 4) 4) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(/.f64 (*.f64 2 (*.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 4)) 8) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(pow.f64 (-.f64 2 (-.f64 (/.f64 i n) i)) 1) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
(neg.f64 (+.f64 -2 (-.f64 (/.f64 i n) i))) |
(+.f64 2 (*.f64 i (-.f64 1 (/.f64 1 n)))) |
(+.f64 2 (-.f64 i (/.f64 i n))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 1 (/.f64 i n)) | |
| ✓ | 15.8b | (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))) |
| 15.9b | (/.f64 i (/.f64 i n)) | |
| ✓ | 16.9b | (*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n)))) |
Compiled 60 to 17 computations (71.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | i | @ | -inf | (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))) |
| 0.0ms | i | @ | inf | (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))) |
| 0.0ms | i | @ | 0 | (*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n)))) |
| 0.0ms | n | @ | inf | (*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n)))) |
| 0.0ms | i | @ | inf | (*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n)))) |
| 1× | batch-egg-rewrite |
| 1126× | rational_best-simplify-65 |
| 1116× | rational_best-simplify-80 |
| 946× | rational_best-simplify-67 |
| 588× | rational_best-simplify-52 |
| 534× | rational_best-2 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 68 |
| 1 | 75 | 62 |
| 2 | 223 | 38 |
| 3 | 1203 | 38 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n)))) |
(*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1260× | rational_best-simplify-49 |
| 1202× | rational_best-simplify-53 |
| 902× | rational_best-simplify-55 |
| 820× | rational_best-simplify-54 |
| 628× | rational_best-simplify-65 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 598 | 9093 |
| 1 | 1964 | 7803 |
| 1× | node limit |
| Inputs |
|---|
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(/.f64 (*.f64 (/.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (*.f64 (/.f64 i n) 4)) (*.f64 4 (+.f64 1 (/.f64 0 (/.f64 i n))))) 1) |
(/.f64 (*.f64 (/.f64 (/.f64 i (/.f64 i n)) 4) (*.f64 4 (+.f64 1 (/.f64 0 (/.f64 i n))))) 1) |
(/.f64 (*.f64 (/.f64 (/.f64 1 (/.f64 i n)) 2) (+.f64 i i)) (+.f64 1 (/.f64 0 (/.f64 i n)))) |
(/.f64 (*.f64 (/.f64 i (+.f64 n n)) (/.f64 (*.f64 i (/.f64 2 (/.f64 i n))) (/.f64 i n))) (+.f64 1 (/.f64 0 (/.f64 i n)))) |
(/.f64 (*.f64 (/.f64 (/.f64 i n) (*.f64 (/.f64 i n) 4)) (*.f64 4 (/.f64 i (/.f64 i n)))) 1) |
(/.f64 (*.f64 (/.f64 (/.f64 i (/.f64 i n)) (*.f64 (/.f64 i n) 4)) (*.f64 (/.f64 i n) 4)) 1) |
(pow.f64 (/.f64 i (/.f64 i n)) 1) |
(+.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) 0) |
(+.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n))))) |
(+.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (+.f64 (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))) 0)) |
(+.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (+.f64 (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))))) |
(+.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 0 (/.f64 (/.f64 i n) (/.f64 i (+.f64 n n))))) |
(+.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 0 (/.f64 1 (/.f64 i n)))) |
(+.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 (/.f64 0 (/.f64 i n)) (/.f64 1 (/.f64 i n)))) |
(+.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 1 (/.f64 i n)))) |
(+.f64 0 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n))))) |
(+.f64 (/.f64 0 (/.f64 i n)) (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n))))) |
(+.f64 (/.f64 (/.f64 i (/.f64 i n)) (/.f64 2 (/.f64 i n))) (/.f64 (/.f64 i (/.f64 i n)) (/.f64 2 (/.f64 i n)))) |
(+.f64 (/.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) 2) (/.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) 2)) |
(+.f64 (/.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) 2) (+.f64 (/.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) 2) (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))))) |
(+.f64 (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))) (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n))))) |
(+.f64 (*.f64 (/.f64 i n) (/.f64 i (*.f64 (/.f64 i n) 2))) (*.f64 (/.f64 i n) (/.f64 i (*.f64 (/.f64 i n) 2)))) |
(+.f64 (/.f64 0 (/.f64 (/.f64 i n) (/.f64 i (+.f64 n n)))) (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n))))) |
(+.f64 (/.f64 (/.f64 i 2) (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 (/.f64 i 2) (+.f64 1 (/.f64 0 (/.f64 i n))))) |
(+.f64 (/.f64 0 (/.f64 1 (/.f64 i n))) (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n))))) |
(+.f64 (/.f64 (/.f64 0 (/.f64 i n)) (/.f64 1 (/.f64 i n))) (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n))))) |
(+.f64 (/.f64 (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 1 (/.f64 i n))) (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n))))) |
(+.f64 (/.f64 (/.f64 i (*.f64 (/.f64 i n) 2)) (/.f64 1 (/.f64 i n))) (/.f64 (/.f64 i (*.f64 (/.f64 i n) 2)) (/.f64 1 (/.f64 i n)))) |
(+.f64 (/.f64 (/.f64 (/.f64 0 (/.f64 i n)) (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 1 (/.f64 i n))) (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n))))) |
(+.f64 (/.f64 i (/.f64 (/.f64 i n) (/.f64 i (+.f64 n n)))) (/.f64 i (/.f64 (/.f64 i n) (/.f64 i (+.f64 n n))))) |
(-.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) 0) |
(-.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 0 (/.f64 i n))) |
(-.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n))))) |
(-.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (+.f64 (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))) 0)) |
(-.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (+.f64 (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))))) |
(-.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (neg.f64 (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))))) |
(-.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 0 (/.f64 (/.f64 i n) (/.f64 i (+.f64 n n))))) |
(-.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 0 (/.f64 1 (/.f64 i n)))) |
(-.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 (/.f64 0 (/.f64 i n)) (/.f64 1 (/.f64 i n)))) |
(-.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 1 (/.f64 i n)))) |
(-.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 (/.f64 (/.f64 0 (/.f64 i n)) (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 1 (/.f64 i n)))) |
(-.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 (neg.f64 (/.f64 0 (/.f64 i n))) (/.f64 1 (/.f64 i n)))) |
(-.f64 (/.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) 2) (/.f64 (*.f64 (/.f64 i (/.f64 i n)) (/.f64 (neg.f64 i) n)) 2)) |
(-.f64 (/.f64 (/.f64 i 2) (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 (/.f64 (neg.f64 i) 2) (+.f64 1 (/.f64 0 (/.f64 i n))))) |
(-.f64 (/.f64 (/.f64 i (*.f64 (/.f64 i n) 2)) (/.f64 1 (/.f64 i n))) (/.f64 (/.f64 (neg.f64 i) (*.f64 (/.f64 i n) 2)) (/.f64 1 (/.f64 i n)))) |
(-.f64 (/.f64 i (/.f64 (/.f64 i n) (/.f64 i (+.f64 n n)))) (/.f64 (neg.f64 i) (/.f64 (/.f64 i n) (/.f64 i (+.f64 n n))))) |
(/.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) |
(/.f64 (/.f64 i (/.f64 i n)) (/.f64 1 (/.f64 i n))) |
(/.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) 1) |
(/.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (+.f64 1 (/.f64 0 (/.f64 i n)))) |
(/.f64 (+.f64 i i) (/.f64 (/.f64 i n) (/.f64 i (+.f64 n n)))) |
(/.f64 (*.f64 i 4) (*.f64 (/.f64 (/.f64 i n) (/.f64 i (+.f64 n n))) 2)) |
(/.f64 (/.f64 i (*.f64 (/.f64 i n) 2)) (/.f64 1 (*.f64 (/.f64 i n) 2))) |
(/.f64 (*.f64 i (/.f64 i n)) (/.f64 i n)) |
(/.f64 (*.f64 i (/.f64 i n)) (neg.f64 (/.f64 (neg.f64 i) n))) |
(/.f64 (*.f64 i (/.f64 i n)) (*.f64 (/.f64 n n) (/.f64 i n))) |
(/.f64 (*.f64 i (/.f64 2 (/.f64 i n))) (/.f64 2 (/.f64 i n))) |
(/.f64 (/.f64 i (/.f64 (/.f64 i (+.f64 n n)) (/.f64 i n))) 2) |
(/.f64 (/.f64 i (/.f64 1 (/.f64 i n))) (/.f64 i n)) |
(/.f64 (/.f64 i (/.f64 1 (/.f64 i n))) (/.f64 1 (/.f64 1 (/.f64 i n)))) |
(/.f64 (/.f64 i 2) (/.f64 (/.f64 i (+.f64 n n)) (/.f64 i n))) |
(/.f64 (*.f64 4 (/.f64 i (/.f64 i n))) (/.f64 4 (/.f64 i n))) |
(/.f64 (*.f64 (/.f64 i (/.f64 i n)) (*.f64 4 (/.f64 i n))) 4) |
(/.f64 (/.f64 i (/.f64 (neg.f64 i) n)) (/.f64 1 (/.f64 (neg.f64 i) n))) |
(/.f64 (*.f64 (/.f64 i n) (*.f64 i 4)) (*.f64 (/.f64 i n) 4)) |
(/.f64 (*.f64 (/.f64 i n) (*.f64 i 4)) (*.f64 (/.f64 (+.f64 n n) n) (*.f64 (/.f64 i n) 2))) |
(/.f64 (*.f64 i (/.f64 (neg.f64 i) n)) (/.f64 (neg.f64 i) n)) |
(/.f64 (*.f64 (/.f64 i n) (+.f64 i i)) (*.f64 (/.f64 i n) 2)) |
(/.f64 (*.f64 (/.f64 i n) (*.f64 -2 i)) (*.f64 2 (/.f64 (neg.f64 i) n))) |
(/.f64 (*.f64 (*.f64 i 4) 4) (*.f64 (*.f64 4 (+.f64 1 (/.f64 0 (/.f64 i n)))) 4)) |
(/.f64 (*.f64 (/.f64 i n) (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n))))) (/.f64 i n)) |
(/.f64 (*.f64 (/.f64 i n) (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n))))) (*.f64 (/.f64 n n) (/.f64 i n))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 2) (/.f64 i (/.f64 (/.f64 i (+.f64 n n)) (/.f64 i n)))) (*.f64 (/.f64 i n) 4)) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 2) (/.f64 i (/.f64 (/.f64 i (+.f64 n n)) (/.f64 i n)))) (*.f64 (/.f64 (+.f64 n n) n) (*.f64 (/.f64 i n) 2))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 4) (*.f64 i 4)) (*.f64 4 (*.f64 (/.f64 i n) 4))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 4) (*.f64 i 4)) (*.f64 (/.f64 (*.f64 n 4) n) (*.f64 (/.f64 i n) 4))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 4) (*.f64 (/.f64 i (/.f64 i n)) (*.f64 4 (/.f64 i n)))) (*.f64 4 (*.f64 (/.f64 i n) 4))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 4) (*.f64 (/.f64 i (/.f64 i n)) (*.f64 4 (/.f64 i n)))) (*.f64 (/.f64 (*.f64 n 4) n) (*.f64 (/.f64 i n) 4))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 2) (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n))))) (*.f64 (/.f64 i n) 2)) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 4) (+.f64 i i)) (*.f64 2 (*.f64 (/.f64 i n) 4))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 4) (/.f64 i (/.f64 (/.f64 i (+.f64 n n)) (/.f64 i n)))) (*.f64 2 (*.f64 (/.f64 i n) 4))) |
(/.f64 (*.f64 4 (*.f64 (/.f64 i n) (*.f64 i 4))) (*.f64 (*.f64 (/.f64 i n) 4) 4)) |
(/.f64 (*.f64 (*.f64 i n) i) (*.f64 i n)) |
(/.f64 (*.f64 (*.f64 i (*.f64 n 4)) i) (*.f64 i (*.f64 n 4))) |
(/.f64 (*.f64 4 (*.f64 4 (/.f64 i (/.f64 i n)))) (*.f64 (/.f64 4 (/.f64 i n)) 4)) |
(/.f64 (*.f64 (*.f64 2 (*.f64 (/.f64 i n) 4)) (*.f64 2 (*.f64 i 4))) (*.f64 8 (*.f64 2 (*.f64 (/.f64 i n) 4)))) |
(/.f64 (/.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 1 (/.f64 i n))) (/.f64 1 (/.f64 1 (/.f64 i n)))) |
(/.f64 (/.f64 (+.f64 i i) (/.f64 (neg.f64 i) n)) (/.f64 2 (/.f64 (neg.f64 i) n))) |
(/.f64 (*.f64 (*.f64 4 (/.f64 i (/.f64 i n))) (*.f64 (/.f64 i n) 4)) 16) |
(/.f64 (*.f64 (*.f64 i 4) (*.f64 4 (+.f64 1 (/.f64 0 (/.f64 i n))))) 16) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 4) (*.f64 4 (/.f64 i (/.f64 i n)))) 16) |
(/.f64 (*.f64 (/.f64 4 (/.f64 i n)) (*.f64 (/.f64 i n) (*.f64 i 4))) 16) |
(/.f64 (*.f64 (*.f64 4 (+.f64 1 (/.f64 0 (/.f64 i n)))) (*.f64 i 4)) 16) |
(/.f64 (*.f64 (+.f64 1 (/.f64 0 (/.f64 i n))) (*.f64 i 4)) 4) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) (*.f64 i 4)) (/.f64 4 (/.f64 i n))) 16) |
(/.f64 (*.f64 2 (/.f64 (/.f64 i (/.f64 i n)) (/.f64 2 (/.f64 i n)))) (+.f64 1 (/.f64 0 (/.f64 i n)))) |
(/.f64 (*.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) (*.f64 (/.f64 i n) (*.f64 i 4))) 1) |
(/.f64 (*.f64 (/.f64 i (*.f64 (/.f64 i n) 4)) (*.f64 (/.f64 i n) 4)) 1) |
(/.f64 (*.f64 (/.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (*.f64 (/.f64 i n) 4)) (*.f64 (/.f64 i n) 4)) 1) |
(/.f64 (*.f64 (/.f64 (/.f64 i (/.f64 i n)) 4) (*.f64 (/.f64 i n) 4)) 1) |
(/.f64 (*.f64 (*.f64 i (/.f64 i (+.f64 n n))) (/.f64 2 (/.f64 i n))) 1) |
(pow.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) 1) |
| Outputs |
|---|
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i |
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i |
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i |
i |
i |
i |
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i |
i |
i |
i |
i |
(+.f64 (/.f64 i (/.f64 i n)) 0) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (neg.f64 (/.f64 0 (/.f64 i n)))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n))))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 (/.f64 0 (/.f64 i n)) (+.f64 1 (/.f64 0 (/.f64 i n))))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (+.f64 (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))) 0)) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (+.f64 (/.f64 (/.f64 0 (/.f64 i n)) (+.f64 1 (/.f64 0 (/.f64 i n)))) 0)) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (+.f64 (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 0 (/.f64 i n)))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (+.f64 (/.f64 (/.f64 0 (/.f64 i n)) (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 0 (/.f64 i n)))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (+.f64 (/.f64 0 (/.f64 i n)) (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (+.f64 (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (+.f64 (/.f64 (/.f64 0 (/.f64 i n)) (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (+.f64 (/.f64 0 (/.f64 i n)) (/.f64 (/.f64 0 (/.f64 i n)) (+.f64 1 (/.f64 0 (/.f64 i n)))))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (+.f64 (/.f64 (/.f64 0 (/.f64 i n)) (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 (/.f64 0 (/.f64 i n)) (+.f64 1 (/.f64 0 (/.f64 i n)))))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 (*.f64 (/.f64 i n) (+.f64 1 (/.f64 0 (/.f64 i n)))))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))) (+.f64 1 (/.f64 0 (/.f64 i n))))) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 (/.f64 0 (+.f64 (/.f64 0 (/.f64 i n)) 1)) (+.f64 (/.f64 0 (/.f64 i n)) 1))) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 (*.f64 (-.f64 (/.f64 0 (/.f64 i n)) -2) (+.f64 (/.f64 0 (/.f64 i n)) 1)))) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 (*.f64 (+.f64 1 (/.f64 0 (/.f64 i n))) (*.f64 (/.f64 i n) 2)))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 (/.f64 (/.f64 i (+.f64 n n)) (/.f64 i n)))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 (/.f64 0 (/.f64 i n)) (/.f64 (/.f64 i (+.f64 n n)) (/.f64 i n)))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 (/.f64 (/.f64 i n) (/.f64 i (+.f64 n n))))) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 (/.f64 i (*.f64 n (/.f64 i (+.f64 n n)))))) |
(+.f64 (/.f64 i (/.f64 i n)) (/.f64 0 (/.f64 (/.f64 (+.f64 i i) n) (/.f64 i n)))) |
(+.f64 0 (/.f64 i (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 0 (/.f64 i n)) (/.f64 i (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (*.f64 (/.f64 i n) 2)) (/.f64 i (*.f64 (/.f64 i n) 2))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 i (*.f64 (/.f64 i n) 4)) (/.f64 (*.f64 i 3) (*.f64 (/.f64 i n) 4))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 0 (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 i (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 (/.f64 0 (/.f64 i n)) (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 i (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 (/.f64 i (/.f64 i n)) 4) (/.f64 (/.f64 (*.f64 i 3) (*.f64 (/.f64 i n) 2)) (/.f64 (/.f64 i n) (/.f64 i (+.f64 n n))))) |
(+.f64 (/.f64 i (*.f64 i (/.f64 4 n))) (/.f64 (*.f64 i 3) (*.f64 (*.f64 (/.f64 i n) 2) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) |
(+.f64 (/.f64 i (*.f64 i (/.f64 4 n))) (/.f64 (*.f64 i 3) (*.f64 (*.f64 i (/.f64 2 n)) (/.f64 (/.f64 (+.f64 i i) n) (/.f64 i n))))) |
(+.f64 (/.f64 (/.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) 2) (/.f64 i n)) (/.f64 (/.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) 2) (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 0 (*.f64 (/.f64 i n) (+.f64 1 (/.f64 0 (/.f64 i n))))) (/.f64 i (/.f64 i n))) |
(/.f64 i (/.f64 i n)) |
(+.f64 (/.f64 (/.f64 i 2) (*.f64 (/.f64 i n) (+.f64 1 (/.f64 0 (/.f64 i n))))) (/.f64 (/.f64 i 2) (*.f64 (/.f64 i n) (+.f64 1 (/.f64 0 (/.f64 i n)))))) |
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(/.f64 (*.f64 (/.f64 i n) (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n))))) (/.f64 i n)) |
(/.f64 (*.f64 (/.f64 i n) (*.f64 i (+.f64 (/.f64 0 (/.f64 i n)) 1))) (/.f64 i n)) |
(/.f64 (*.f64 (/.f64 i n) (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n))))) (*.f64 (/.f64 n n) (/.f64 i n))) |
(/.f64 (*.f64 i (/.f64 i n)) (*.f64 i (/.f64 (/.f64 n n) n))) |
(+.f64 (/.f64 i (/.f64 n n)) (/.f64 0 (/.f64 i n))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 2) (/.f64 i (/.f64 (/.f64 i (+.f64 n n)) (/.f64 i n)))) (*.f64 (/.f64 i n) 4)) |
(+.f64 (neg.f64 (/.f64 0 (/.f64 i n))) (*.f64 i (+.f64 (/.f64 0 (/.f64 i n)) 1))) |
(-.f64 i (/.f64 0 (/.f64 i n))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 2) (/.f64 i (/.f64 (/.f64 i (+.f64 n n)) (/.f64 i n)))) (*.f64 (/.f64 (+.f64 n n) n) (*.f64 (/.f64 i n) 2))) |
(/.f64 (/.f64 (/.f64 i (*.f64 (/.f64 i n) 2)) (/.f64 i (*.f64 (+.f64 n n) (/.f64 i n)))) (/.f64 (/.f64 (+.f64 n n) n) (*.f64 (/.f64 i n) 2))) |
(/.f64 (/.f64 i (/.f64 i n)) (/.f64 (/.f64 (+.f64 n n) n) (*.f64 i (/.f64 2 n)))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 4) (*.f64 i 4)) (*.f64 4 (*.f64 (/.f64 i n) 4))) |
(+.f64 (neg.f64 (/.f64 0 (/.f64 i n))) (*.f64 i (+.f64 (/.f64 0 (/.f64 i n)) 1))) |
(-.f64 i (/.f64 0 (/.f64 i n))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 4) (*.f64 i 4)) (*.f64 (/.f64 (*.f64 n 4) n) (*.f64 (/.f64 i n) 4))) |
(/.f64 (/.f64 (*.f64 i 4) (*.f64 i (/.f64 4 n))) (/.f64 (/.f64 (*.f64 n 4) n) (*.f64 i (/.f64 4 n)))) |
(+.f64 (/.f64 (*.f64 i 4) (/.f64 (*.f64 n 4) n)) (/.f64 0 (/.f64 i n))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 4) (*.f64 (/.f64 i (/.f64 i n)) (*.f64 4 (/.f64 i n)))) (*.f64 4 (*.f64 (/.f64 i n) 4))) |
(+.f64 (neg.f64 (/.f64 0 (/.f64 i n))) (*.f64 i (+.f64 (/.f64 0 (/.f64 i n)) 1))) |
(-.f64 i (/.f64 0 (/.f64 i n))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 4) (*.f64 (/.f64 i (/.f64 i n)) (*.f64 4 (/.f64 i n)))) (*.f64 (/.f64 (*.f64 n 4) n) (*.f64 (/.f64 i n) 4))) |
(/.f64 (/.f64 (*.f64 i 4) (*.f64 i (/.f64 4 n))) (/.f64 (/.f64 (*.f64 n 4) n) (*.f64 i (/.f64 4 n)))) |
(+.f64 (/.f64 (*.f64 i 4) (/.f64 (*.f64 n 4) n)) (/.f64 0 (/.f64 i n))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 2) (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n))))) (*.f64 (/.f64 i n) 2)) |
(/.f64 (*.f64 (+.f64 (/.f64 0 (/.f64 i n)) 1) (*.f64 i (*.f64 (/.f64 i n) 2))) (*.f64 (/.f64 i n) 2)) |
(/.f64 (*.f64 i (*.f64 (+.f64 (/.f64 0 (/.f64 i n)) 1) (*.f64 i (/.f64 2 n)))) (*.f64 i (/.f64 2 n))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 4) (+.f64 i i)) (*.f64 2 (*.f64 (/.f64 i n) 4))) |
(+.f64 (neg.f64 (/.f64 0 (/.f64 i n))) (*.f64 i (+.f64 (/.f64 0 (/.f64 i n)) 1))) |
(-.f64 i (/.f64 0 (/.f64 i n))) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 4) (/.f64 i (/.f64 (/.f64 i (+.f64 n n)) (/.f64 i n)))) (*.f64 2 (*.f64 (/.f64 i n) 4))) |
(+.f64 (neg.f64 (/.f64 0 (/.f64 i n))) (*.f64 i (+.f64 (/.f64 0 (/.f64 i n)) 1))) |
(-.f64 i (/.f64 0 (/.f64 i n))) |
(/.f64 (*.f64 4 (*.f64 (/.f64 i n) (*.f64 i 4))) (*.f64 (*.f64 (/.f64 i n) 4) 4)) |
(+.f64 (neg.f64 (/.f64 0 (/.f64 i n))) (*.f64 i (+.f64 (/.f64 0 (/.f64 i n)) 1))) |
(-.f64 i (/.f64 0 (/.f64 i n))) |
(/.f64 (*.f64 (*.f64 i n) i) (*.f64 i n)) |
(+.f64 (/.f64 (*.f64 n i) n) (/.f64 0 i)) |
(+.f64 (/.f64 0 i) (/.f64 (*.f64 n i) n)) |
(/.f64 (*.f64 (*.f64 i (*.f64 n 4)) i) (*.f64 i (*.f64 n 4))) |
(+.f64 (/.f64 (*.f64 i (*.f64 n 4)) (*.f64 n 4)) (/.f64 0 i)) |
(/.f64 (*.f64 i (*.f64 (*.f64 n i) 8)) (*.f64 (*.f64 n i) 8)) |
(/.f64 (*.f64 4 (*.f64 4 (/.f64 i (/.f64 i n)))) (*.f64 (/.f64 4 (/.f64 i n)) 4)) |
(+.f64 (neg.f64 (/.f64 0 (/.f64 i n))) (*.f64 i (+.f64 (/.f64 0 (/.f64 i n)) 1))) |
(-.f64 i (/.f64 0 (/.f64 i n))) |
(/.f64 (*.f64 (*.f64 2 (*.f64 (/.f64 i n) 4)) (*.f64 2 (*.f64 i 4))) (*.f64 8 (*.f64 2 (*.f64 (/.f64 i n) 4)))) |
(+.f64 (neg.f64 (/.f64 0 (/.f64 i n))) (*.f64 i (+.f64 (/.f64 0 (/.f64 i n)) 1))) |
(-.f64 i (/.f64 0 (/.f64 i n))) |
(/.f64 (/.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (/.f64 1 (/.f64 i n))) (/.f64 1 (/.f64 1 (/.f64 i n)))) |
(+.f64 (neg.f64 (/.f64 0 (/.f64 i n))) (*.f64 i (+.f64 (/.f64 0 (/.f64 i n)) 1))) |
(-.f64 i (/.f64 0 (/.f64 i n))) |
(/.f64 (/.f64 (+.f64 i i) (/.f64 (neg.f64 i) n)) (/.f64 2 (/.f64 (neg.f64 i) n))) |
(-.f64 (/.f64 i 1) (/.f64 0 (/.f64 (neg.f64 i) n))) |
(-.f64 i (/.f64 0 (/.f64 (neg.f64 i) n))) |
(/.f64 (*.f64 (*.f64 4 (/.f64 i (/.f64 i n))) (*.f64 (/.f64 i n) 4)) 16) |
(/.f64 (*.f64 (*.f64 i (/.f64 4 n)) (*.f64 i (/.f64 4 (/.f64 i n)))) 16) |
(/.f64 (/.f64 (*.f64 i 16) (/.f64 (*.f64 n i) (*.f64 n i))) 16) |
(/.f64 (*.f64 (*.f64 i 4) (*.f64 4 (+.f64 1 (/.f64 0 (/.f64 i n))))) 16) |
(/.f64 (*.f64 (*.f64 i (/.f64 4 n)) (*.f64 i (/.f64 4 (/.f64 i n)))) 16) |
(/.f64 (/.f64 (*.f64 i 16) (/.f64 (*.f64 n i) (*.f64 n i))) 16) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) 4) (*.f64 4 (/.f64 i (/.f64 i n)))) 16) |
(/.f64 (*.f64 (*.f64 i (/.f64 4 n)) (*.f64 i (/.f64 4 (/.f64 i n)))) 16) |
(/.f64 (/.f64 (*.f64 i 16) (/.f64 (*.f64 n i) (*.f64 n i))) 16) |
(/.f64 (*.f64 (/.f64 4 (/.f64 i n)) (*.f64 (/.f64 i n) (*.f64 i 4))) 16) |
(/.f64 (*.f64 (*.f64 i (/.f64 4 n)) (*.f64 i (/.f64 4 (/.f64 i n)))) 16) |
(/.f64 (/.f64 (*.f64 i 16) (/.f64 (*.f64 n i) (*.f64 n i))) 16) |
(/.f64 (*.f64 (*.f64 4 (+.f64 1 (/.f64 0 (/.f64 i n)))) (*.f64 i 4)) 16) |
(/.f64 (*.f64 (*.f64 i (/.f64 4 n)) (*.f64 i (/.f64 4 (/.f64 i n)))) 16) |
(/.f64 (/.f64 (*.f64 i 16) (/.f64 (*.f64 n i) (*.f64 n i))) 16) |
(/.f64 (*.f64 (+.f64 1 (/.f64 0 (/.f64 i n))) (*.f64 i 4)) 4) |
(/.f64 (*.f64 (/.f64 i n) (*.f64 i (/.f64 4 (/.f64 i n)))) 4) |
(/.f64 (*.f64 (*.f64 (/.f64 i n) (*.f64 i 4)) (/.f64 4 (/.f64 i n))) 16) |
(/.f64 (*.f64 (*.f64 i (/.f64 4 n)) (*.f64 i (/.f64 4 (/.f64 i n)))) 16) |
(/.f64 (/.f64 (*.f64 i 16) (/.f64 (*.f64 n i) (*.f64 n i))) 16) |
(/.f64 (*.f64 2 (/.f64 (/.f64 i (/.f64 i n)) (/.f64 2 (/.f64 i n)))) (+.f64 1 (/.f64 0 (/.f64 i n)))) |
(/.f64 (*.f64 2 (-.f64 (/.f64 i 2) (/.f64 0 (/.f64 i n)))) (+.f64 (/.f64 0 (/.f64 i n)) 1)) |
(/.f64 (*.f64 i (/.f64 (*.f64 n i) (*.f64 n i))) (+.f64 (/.f64 0 (/.f64 i n)) 1)) |
(/.f64 (*.f64 (/.f64 1 (*.f64 (/.f64 i n) 4)) (*.f64 (/.f64 i n) (*.f64 i 4))) 1) |
(*.f64 (*.f64 i 4) (*.f64 (/.f64 i n) (/.f64 1 (*.f64 i (/.f64 4 n))))) |
(*.f64 1 (-.f64 i (/.f64 0 (/.f64 i n)))) |
(/.f64 (*.f64 (/.f64 i (*.f64 (/.f64 i n) 4)) (*.f64 (/.f64 i n) 4)) 1) |
(*.f64 i (+.f64 (/.f64 0 (/.f64 i n)) 1)) |
(/.f64 (*.f64 (/.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) (*.f64 (/.f64 i n) 4)) (*.f64 (/.f64 i n) 4)) 1) |
(*.f64 i (+.f64 (/.f64 0 (/.f64 i n)) 1)) |
(/.f64 (*.f64 (/.f64 (/.f64 i (/.f64 i n)) 4) (*.f64 (/.f64 i n) 4)) 1) |
(*.f64 i (+.f64 (/.f64 0 (/.f64 i n)) 1)) |
(/.f64 (*.f64 (*.f64 i (/.f64 i (+.f64 n n))) (/.f64 2 (/.f64 i n))) 1) |
(*.f64 (/.f64 2 (/.f64 i n)) (*.f64 i (/.f64 i (+.f64 n n)))) |
(*.f64 i (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i n)))) |
(pow.f64 (*.f64 i (+.f64 1 (/.f64 0 (/.f64 i n)))) 1) |
(*.f64 i (+.f64 (/.f64 0 (/.f64 i n)) 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.0b | (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) | |
| 5.5b | (pow.f64 (+.f64 1 (/.f64 i n)) n) | |
| ✓ | 11.4b | (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) |
| ✓ | 16.1b | (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))) |
Compiled 129 to 68 computations (47.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | 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)) |
| 0.0ms | n | @ | inf | (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) |
| 0.0ms | i | @ | 0 | (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) |
| 1× | batch-egg-rewrite |
| 914× | rational_best-simplify-52 |
| 794× | rational_best-simplify-55 |
| 738× | rational_best-simplify-64 |
| 706× | rational_best-4 |
| 706× | rational_best-2 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 62 |
| 1 | 116 | 62 |
| 2 | 346 | 56 |
| 3 | 1698 | 56 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1444× | rational_best-simplify-53 |
| 1332× | rational_best-simplify-49 |
| 1158× | rational_best-simplify-50 |
| 874× | rational_best-simplify-54 |
| 700× | rational_best-simplify-1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1060 | 23921 |
| 1 | 3215 | 21563 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
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))))))))) |
(/.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 (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 (*.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 (*.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 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 (*.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)) |
(+.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 (*.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 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)))) |
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(*.f64 (*.f64 (/.f64 (*.f64 i 4) n) (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 (*.f64 i 4) n))) |
(*.f64 (*.f64 (*.f64 i (/.f64 8 n)) (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1)) (/.f64 (/.f64 1 (/.f64 i n)) (*.f64 i (/.f64 8 n)))) |
(*.f64 (*.f64 (/.f64 i (/.f64 n 2)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n))) (/.f64 1 (/.f64 i (/.f64 n 2)))) |
(*.f64 (*.f64 (/.f64 (*.f64 i 4) n) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n))) (/.f64 1 (/.f64 (*.f64 i 4) n))) |
(*.f64 (*.f64 (*.f64 i (/.f64 8 n)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n))) (/.f64 1 (*.f64 i (/.f64 8 n)))) |
(*.f64 (*.f64 (/.f64 (*.f64 i 4) n) (+.f64 (*.f64 2 (pow.f64 (+.f64 (/.f64 i n) 1) n)) -2)) (/.f64 (/.f64 1 (/.f64 i (/.f64 n 2))) (/.f64 (*.f64 i 4) n))) |
(*.f64 (*.f64 (*.f64 i (/.f64 8 n)) (+.f64 (*.f64 2 (pow.f64 (+.f64 (/.f64 i n) 1) n)) -2)) (/.f64 (/.f64 1 (/.f64 i (/.f64 n 2))) (*.f64 i (/.f64 8 n)))) |
(*.f64 (*.f64 (/.f64 i (/.f64 n 2)) (*.f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)))) (/.f64 1/2 (/.f64 i (/.f64 n 2)))) |
(*.f64 (*.f64 (/.f64 (*.f64 i 4) n) (*.f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)))) (/.f64 1/2 (/.f64 (*.f64 i 4) n))) |
(*.f64 (*.f64 (*.f64 i (/.f64 8 n)) (*.f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)))) (/.f64 1/2 (*.f64 i (/.f64 8 n)))) |
(*.f64 (*.f64 (/.f64 i (/.f64 n 2)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) 4)) (/.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (/.f64 i (/.f64 n 2)))) |
(*.f64 (*.f64 (*.f64 i (/.f64 8 n)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) 4)) (/.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (*.f64 i (/.f64 8 n)))) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)) 1) |
| Outputs |
|---|
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
1/2 |
n |
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 n (*.f64 (-.f64 1/2 (*.f64 1 (/.f64 1/2 n))) (*.f64 n i))) |
(+.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 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 n (*.f64 n (+.f64 (*.f64 i (-.f64 1/2 (*.f64 1 (/.f64 1/2 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (pow.f64 n 2))) 1/6) (*.f64 1 (/.f64 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 (*.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 (+.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 (/.f64 1 (pow.f64 n 2)) 11/24)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1 (/.f64 1/4 n))))))))) |
(+.f64 (*.f64 n (+.f64 (*.f64 i (-.f64 1/2 (*.f64 1 (/.f64 1/2 n)))) (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1 (/.f64 1/3 (pow.f64 n 2))) 1/6) (*.f64 1 (/.f64 1/2 n)))))) (+.f64 (*.f64 (-.f64 (*.f64 1 (/.f64 11/24 (pow.f64 n 2))) (+.f64 (*.f64 1/4 (+.f64 (/.f64 1 (pow.f64 n 3)) (/.f64 1 n))) -1/24)) (*.f64 (pow.f64 i 3) n)) 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 (*.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 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) i) |
(+.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 (*.f64 n (+.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) -1)) i) (/.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 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) i) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) |
(+.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 (*.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 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))) |
(+.f64 (/.f64 (*.f64 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) i) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (*.f64 (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))) n)) (pow.f64 i 3)) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)))) |
(+.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 (*.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 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 (*.f64 n (*.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 4))))) |
(+.f64 (/.f64 (*.f64 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) i) (+.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (*.f64 (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))) n)) (pow.f64 i 3)) (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 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)))) n)) (pow.f64 i 4))) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (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 (neg.f64 (/.f64 1 n)))))) 1)) i) |
(/.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 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))))) i) |
(+.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)) |
(+.f64 (/.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 (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 (*.f64 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))))) i) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) (pow.f64 i 2))) |
(+.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 (*.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 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 (*.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 (*.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 n (*.f64 (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.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 (*.f64 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))))) i) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))) (*.f64 (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))) n)) (pow.f64 i 3)) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) (pow.f64 i 2)))) |
(+.f64 (*.f64 -1 (/.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 (/.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 (*.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 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 (/.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 n (*.f64 (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.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 (*.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 -1 (/.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 (pow.f64 n 4) -1/3) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 (pow.f64 n 6) -1/6))))) (pow.f64 i 4))))) |
(+.f64 (+.f64 (/.f64 (*.f64 n (+.f64 -1 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))))) i) (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) (pow.f64 i 2))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))) (*.f64 (+.f64 (*.f64 (pow.f64 n 3) -1/2) (*.f64 1/2 (pow.f64 n 4))) n)) (pow.f64 i 3)) (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n))))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 n 5)) (+.f64 (*.f64 (pow.f64 n 6) -1/6) (*.f64 (pow.f64 n 4) -1/3))) n)) (pow.f64 i 4))))) |
(/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) |
(/.f64 (*.f64 (pow.f64 n 2) (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) i) |
(+.f64 (*.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 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i) (*.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))))) |
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1/2 |
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1/2 |
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1/2 |
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1/2 |
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1/2 |
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) 4) (/.f64 1 (/.f64 (*.f64 i 4) n))) |
(*.f64 4 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 1 (/.f64 (*.f64 i 4) n)))) |
(*.f64 (*.f64 i (/.f64 8 n)) (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)) (*.f64 i (/.f64 8 n)))) |
(*.f64 (*.f64 i (/.f64 8 n)) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 (/.f64 i n) (*.f64 i (/.f64 8 n))))) |
(*.f64 i (*.f64 (/.f64 8 n) (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 i (*.f64 (/.f64 8 n) (/.f64 i n)))))) |
(*.f64 1/2 (*.f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(*.f64 (/.f64 1 (/.f64 i (/.f64 n 2))) (+.f64 (*.f64 2 (pow.f64 (+.f64 (/.f64 i n) 1) n)) -2)) |
(*.f64 1 (/.f64 (+.f64 -2 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (/.f64 i (/.f64 n 2)))) |
(*.f64 (/.f64 1 (/.f64 i (/.f64 n 2))) (+.f64 -2 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) 4)) |
(*.f64 4 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 1 (/.f64 (*.f64 i 4) n)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) 4) (/.f64 i n)) 1/4) |
(*.f64 1/4 (/.f64 (*.f64 4 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (/.f64 i n))) |
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) 4) (/.f64 i n)) (/.f64 1 (/.f64 (/.f64 (*.f64 i 4) n) (/.f64 i n)))) |
(*.f64 1 (/.f64 (/.f64 (*.f64 4 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (/.f64 i n)) (/.f64 (/.f64 (*.f64 i 4) (/.f64 i n)) n))) |
(*.f64 1 (/.f64 (*.f64 4 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 i n) (/.f64 (/.f64 (*.f64 i 4) (/.f64 i n)) n)))) |
(*.f64 (*.f64 2 (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) 4)) (/.f64 1 (*.f64 i (/.f64 8 n)))) |
(*.f64 (/.f64 1 (*.f64 i (/.f64 8 n))) (*.f64 4 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2))) |
(*.f64 (/.f64 1/8 (/.f64 i n)) (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 8)) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)) (/.f64 i n)) (/.f64 1 (/.f64 1 (/.f64 i n)))) |
(*.f64 1 (/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 1 (/.f64 i n)))) |
(*.f64 1 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 (*.f64 i (/.f64 i (*.f64 n n))) (/.f64 1 (/.f64 i n))))) |
(*.f64 (/.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n))) (/.f64 i n)) (/.f64 1 (/.f64 2 (/.f64 i n)))) |
(*.f64 (/.f64 1 (/.f64 2 (/.f64 i n))) (/.f64 (*.f64 2 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n))) (/.f64 i n))) |
(*.f64 1 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 2 (/.f64 i n))) (*.f64 (/.f64 i n) (/.f64 2 (/.f64 i n))))) |
(*.f64 (*.f64 (/.f64 i n) (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 i (/.f64 n 2)) (+.f64 (*.f64 2 (pow.f64 (+.f64 (/.f64 i n) 1) n)) -2)) (/.f64 (/.f64 1 (/.f64 i (/.f64 n 2))) (/.f64 i (/.f64 n 2)))) |
(*.f64 (/.f64 1 (/.f64 i (/.f64 n 2))) (/.f64 (*.f64 (/.f64 i (/.f64 n 2)) (+.f64 -2 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n)))) (/.f64 i (/.f64 n 2)))) |
(*.f64 (+.f64 -2 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 i (/.f64 n 2)) (/.f64 1 (*.f64 (/.f64 i (/.f64 n 2)) (/.f64 i (/.f64 n 2)))))) |
(*.f64 (*.f64 (/.f64 (*.f64 i 4) n) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) 4)) (/.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (/.f64 (*.f64 i 4) n))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 (*.f64 i 4) n) (/.f64 (*.f64 i 4) n))) (*.f64 4 (*.f64 (/.f64 (*.f64 i 4) n) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))) |
(*.f64 (/.f64 (/.f64 1/4 i) (/.f64 (*.f64 i 4) (*.f64 n n))) (*.f64 4 (*.f64 (/.f64 (*.f64 i 4) n) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))) |
(*.f64 (*.f64 (/.f64 i n) (+.f64 (*.f64 2 (pow.f64 (+.f64 (/.f64 i n) 1) n)) -2)) (/.f64 (/.f64 1 (/.f64 i (/.f64 n 2))) (/.f64 i n))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 i n) (/.f64 i (/.f64 n 2)))) (*.f64 (/.f64 i n) (+.f64 -2 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n))))) |
(*.f64 (*.f64 (/.f64 i n) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n))) (/.f64 1 (/.f64 i n))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 i n) (*.f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)))) (/.f64 1/2 (/.f64 i n))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
(*.f64 (*.f64 (/.f64 i n) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) 4)) (/.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (/.f64 i n))) |
(/.f64 (*.f64 4 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 1 (/.f64 (*.f64 i 4) n)))) (/.f64 (/.f64 i n) (/.f64 i n))) |
(*.f64 (*.f64 4 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 i n) (/.f64 (/.f64 1/4 i) (/.f64 i (*.f64 n n))))) |
(*.f64 (*.f64 (/.f64 i (/.f64 n 2)) (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i (/.f64 n 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) (/.f64 (/.f64 i (/.f64 n 2)) (/.f64 i (/.f64 n 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 (/.f64 i n) (/.f64 (/.f64 i (/.f64 n 2)) (/.f64 i (/.f64 n 2))))) |
(*.f64 (*.f64 (/.f64 (*.f64 i 4) n) (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 (*.f64 i 4) n))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) (/.f64 (/.f64 (*.f64 i 4) n) (/.f64 (*.f64 i 4) n))) |
(*.f64 (/.f64 (*.f64 i 4) n) (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 (/.f64 1/4 i) (/.f64 i (*.f64 n n))))) |
(*.f64 (*.f64 (*.f64 i (/.f64 8 n)) (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1)) (/.f64 (/.f64 1 (/.f64 i n)) (*.f64 i (/.f64 8 n)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) (/.f64 (*.f64 i (/.f64 8 n)) (*.f64 i (/.f64 8 n)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 (/.f64 i n) (/.f64 (*.f64 i (/.f64 8 n)) (*.f64 i (/.f64 8 n))))) |
(*.f64 (*.f64 (/.f64 i (/.f64 n 2)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n))) (/.f64 1 (/.f64 i (/.f64 n 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) (/.f64 (/.f64 i (/.f64 n 2)) (/.f64 i (/.f64 n 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 (/.f64 i n) (/.f64 (/.f64 i (/.f64 n 2)) (/.f64 i (/.f64 n 2))))) |
(*.f64 (*.f64 (/.f64 (*.f64 i 4) n) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n))) (/.f64 1 (/.f64 (*.f64 i 4) n))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) (/.f64 (/.f64 (*.f64 i 4) n) (/.f64 (*.f64 i 4) n))) |
(*.f64 (/.f64 (*.f64 i 4) n) (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 (/.f64 1/4 i) (/.f64 i (*.f64 n n))))) |
(*.f64 (*.f64 (*.f64 i (/.f64 8 n)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n))) (/.f64 1 (*.f64 i (/.f64 8 n)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) (/.f64 (*.f64 i (/.f64 8 n)) (*.f64 i (/.f64 8 n)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 (/.f64 i n) (/.f64 (*.f64 i (/.f64 8 n)) (*.f64 i (/.f64 8 n))))) |
(*.f64 (*.f64 (/.f64 (*.f64 i 4) n) (+.f64 (*.f64 2 (pow.f64 (+.f64 (/.f64 i n) 1) n)) -2)) (/.f64 (/.f64 1 (/.f64 i (/.f64 n 2))) (/.f64 (*.f64 i 4) n))) |
(*.f64 (/.f64 1 (/.f64 i (/.f64 n 2))) (/.f64 (*.f64 (/.f64 (*.f64 i 4) n) (+.f64 -2 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n)))) (/.f64 (*.f64 i 4) n))) |
(*.f64 (+.f64 -2 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 (*.f64 i 4) n) (/.f64 (/.f64 1/4 i) (/.f64 i (*.f64 (/.f64 n 2) n))))) |
(*.f64 (*.f64 (*.f64 i (/.f64 8 n)) (+.f64 (*.f64 2 (pow.f64 (+.f64 (/.f64 i n) 1) n)) -2)) (/.f64 (/.f64 1 (/.f64 i (/.f64 n 2))) (*.f64 i (/.f64 8 n)))) |
(*.f64 (/.f64 1 (/.f64 i (/.f64 n 2))) (/.f64 (*.f64 (*.f64 i (/.f64 8 n)) (+.f64 -2 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n)))) (*.f64 i (/.f64 8 n)))) |
(*.f64 (*.f64 i (/.f64 8 n)) (*.f64 (+.f64 -2 (*.f64 2 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (/.f64 (/.f64 1/8 (/.f64 i n)) (/.f64 i (/.f64 n 2))))) |
(*.f64 (*.f64 (/.f64 i (/.f64 n 2)) (*.f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)))) (/.f64 1/2 (/.f64 i (/.f64 n 2)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) (/.f64 (/.f64 i (/.f64 n 2)) (/.f64 i (/.f64 n 2)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 (/.f64 i n) (/.f64 (/.f64 i (/.f64 n 2)) (/.f64 i (/.f64 n 2))))) |
(*.f64 (*.f64 (/.f64 (*.f64 i 4) n) (*.f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)))) (/.f64 1/2 (/.f64 (*.f64 i 4) n))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) (/.f64 (/.f64 (*.f64 i 4) n) (/.f64 (*.f64 i 4) n))) |
(*.f64 (/.f64 (*.f64 i 4) n) (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 (/.f64 1/4 i) (/.f64 i (*.f64 n n))))) |
(*.f64 (*.f64 (*.f64 i (/.f64 8 n)) (*.f64 2 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)))) (/.f64 1/2 (*.f64 i (/.f64 8 n)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) (/.f64 (*.f64 i (/.f64 8 n)) (*.f64 i (/.f64 8 n)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 (/.f64 i n) (/.f64 (*.f64 i (/.f64 8 n)) (*.f64 i (/.f64 8 n))))) |
(*.f64 (*.f64 (/.f64 i (/.f64 n 2)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) 4)) (/.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (/.f64 i (/.f64 n 2)))) |
(*.f64 (/.f64 1 (*.f64 (/.f64 (*.f64 i 4) n) (/.f64 i (/.f64 n 2)))) (*.f64 4 (*.f64 (/.f64 i (/.f64 n 2)) (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))))) |
(*.f64 (/.f64 i (/.f64 n 2)) (*.f64 (*.f64 4 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (/.f64 (/.f64 1/4 i) (/.f64 i (*.f64 (/.f64 n 2) n))))) |
(*.f64 (*.f64 (*.f64 i (/.f64 8 n)) (*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) 4)) (/.f64 (/.f64 1 (/.f64 (*.f64 i 4) n)) (*.f64 i (/.f64 8 n)))) |
(/.f64 (*.f64 4 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 1 (/.f64 (*.f64 i 4) n)))) (/.f64 (*.f64 i (/.f64 8 n)) (*.f64 i (/.f64 8 n)))) |
(*.f64 (*.f64 i (/.f64 8 n)) (*.f64 (*.f64 4 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (/.f64 (/.f64 1/8 (/.f64 i n)) (/.f64 (*.f64 i 4) n)))) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n)) 1) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 i n)) |
Compiled 54418 to 32359 computations (40.5% saved)
48 alts after pruning (36 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1658 | 15 | 1673 |
| Fresh | 2 | 21 | 23 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 11 | 12 |
| Total | 1661 | 48 | 1709 |
| Status | Error | Program |
|---|---|---|
| 30.7b | (/.f64 (+.f64 (/.f64 (*.f64 n (*.f64 (+.f64 i (-.f64 2 (/.f64 i n))) 1200)) 4) (*.f64 100 (*.f64 n (+.f64 i (-.f64 2 (/.f64 i n)))))) 8) | |
| 30.0b | (/.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) 8) | |
| 62.1b | (/.f64 (*.f64 n (*.f64 -400 (/.f64 i n))) 8) | |
| ✓ | 29.4b | (/.f64 12800 (/.f64 128 n)) |
| 29.2b | (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) | |
| 58.8b | (+.f64 (*.f64 (exp.f64 i) (*.f64 i -50)) (*.f64 (/.f64 100 i) (+.f64 (*.f64 n (+.f64 -1 (exp.f64 i))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 (pow.f64 i 4) 1/8))) n)))) | |
| 29.8b | (+.f64 (*.f64 100 n) (*.f64 -50 i)) | |
| 55.7b | (*.f64 (pow.f64 n 2) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) (/.f64 100 i))) | |
| ✓ | 47.0b | (*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
| 47.1b | (*.f64 (-.f64 (exp.f64 i) 1) (*.f64 100 (/.f64 n i))) | |
| ✓ | 47.3b | (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
| ✓ | 51.3b | (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) -1) (/.f64 100 (/.f64 i n))) |
| 30.1b | (*.f64 (+.f64 i 2) (*.f64 n 50)) | |
| ✓ | 30.2b | (*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 50) |
| 55.7b | (*.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (/.f64 100 (/.f64 i n))) | |
| 46.8b | (*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) | |
| 30.2b | (*.f64 n (*.f64 50 (-.f64 i (-.f64 (/.f64 i n) 2)))) | |
| 30.1b | (*.f64 n (*.f64 50 (+.f64 i 2))) | |
| ✓ | 29.5b | (*.f64 n 100) |
| 38.9b | (*.f64 i (/.f64 100 (/.f64 i n))) | |
| ✓ | 62.1b | (*.f64 i -50) |
| ✓ | 49.3b | (*.f64 100 (/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
| 53.0b | (*.f64 100 (/.f64 (/.f64 (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 i n)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n)))) | |
| 42.3b | (*.f64 100 (/.f64 (/.f64 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) | |
| 49.6b | (*.f64 100 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 i (/.f64 8 n)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n))) (/.f64 1 (*.f64 i (/.f64 8 n)))) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) | |
| 41.9b | (*.f64 100 (/.f64 (/.f64 n 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) | |
| 52.5b | (*.f64 100 (/.f64 (/.f64 i (/.f64 1 (/.f64 i n))) (*.f64 (/.f64 i n) (/.f64 i n)))) | |
| ✓ | 47.3b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 43.9b | (*.f64 100 (/.f64 (*.f64 (/.f64 i (/.f64 i n)) (*.f64 n i)) (*.f64 n i))) | |
| 51.1b | (*.f64 100 (/.f64 (*.f64 (/.f64 i n) (*.f64 (+.f64 i i) 2)) (*.f64 i (/.f64 (*.f64 i (/.f64 4 n)) n)))) | |
| 55.7b | (*.f64 100 (/.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (/.f64 i n))) | |
| 43.4b | (*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (/.f64 (*.f64 i (/.f64 4 n)) (/.f64 i n)))) | |
| 43.4b | (*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (*.f64 (/.f64 i (*.f64 n (/.f64 i (+.f64 n n)))) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) | |
| ✓ | 47.3b | (*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 1 (/.f64 i n)))) |
| 41.9b | (*.f64 100 (-.f64 (/.f64 2 (/.f64 1 n)) (/.f64 i (/.f64 i n)))) | |
| 61.3b | (*.f64 100 (-.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (*.f64 n i)) (+.f64 n (/.f64 n i))) (/.f64 1 (/.f64 i n)))) | |
| 47.8b | (*.f64 100 (-.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n)))) (/.f64 1 (/.f64 i n)))) | |
| 49.1b | (*.f64 100 (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))) | |
| ✓ | 29.8b | (*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
| 55.7b | (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (neg.f64 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i)))) | |
| 45.1b | (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) | |
| 43.3b | (*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (+.f64 i i) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) | |
| 49.8b | (*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (*.f64 (*.f64 i n) i) (*.f64 i n)))) | |
| ✓ | 43.3b | (*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))))) |
| 38.8b | (*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) i)) | |
| 37.8b | (*.f64 100 (*.f64 1/2 (/.f64 (-.f64 (*.f64 i 3) i) (/.f64 i n)))) | |
| 55.4b | (*.f64 100 (neg.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) n)) i))) | |
| 52.0b | 0 |
Compiled 841 to 559 computations (33.5% saved)
| Inputs |
|---|
0 |
(*.f64 i -50) |
(*.f64 n 100) |
(/.f64 12800 (/.f64 128 n)) |
(*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 i (/.f64 100 (/.f64 i n))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 (+.f64 i 2) (*.f64 n 50)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) i)) |
(*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
(*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100)) |
(/.f64 (*.f64 n (*.f64 -400 (/.f64 i n))) 8) |
(/.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) 8) |
(*.f64 n (*.f64 50 (-.f64 i (-.f64 (/.f64 i n) 2)))) |
(*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 50) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 100 (*.f64 1/2 (/.f64 (-.f64 (*.f64 i 3) i) (/.f64 i n)))) |
(*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 n (-.f64 1/2 (/.f64 1/2 n)))))) |
(*.f64 100 (-.f64 (/.f64 2 (/.f64 1 n)) (/.f64 i (/.f64 i n)))) |
(+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 (/.f64 300 (/.f64 2 n)) 2)) |
(/.f64 (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) 8) |
(/.f64 (*.f64 (+.f64 2 (-.f64 i (/.f64 i n))) (*.f64 n 400)) 8) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (/.f64 (*.f64 (/.f64 i (/.f64 i n)) (*.f64 n i)) (*.f64 n i))) |
(*.f64 100 (/.f64 (/.f64 n 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (*.f64 (*.f64 i n) i) (*.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 i (/.f64 1 (/.f64 i n))) (*.f64 (/.f64 i n) (/.f64 i n)))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 n 100))) |
(*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (/.f64 (*.f64 i (/.f64 4 n)) (/.f64 i n)))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (+.f64 i i) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) |
(*.f64 100 (/.f64 (*.f64 (/.f64 i n) (*.f64 (+.f64 i i) 2)) (*.f64 i (/.f64 (*.f64 i (/.f64 4 n)) n)))) |
(*.f64 100 (-.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (*.f64 n i)) (+.f64 n (/.f64 n i))) (/.f64 1 (/.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 i n)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(/.f64 (+.f64 (/.f64 (*.f64 n (*.f64 (+.f64 i (-.f64 2 (/.f64 i n))) 1200)) 4) (*.f64 100 (*.f64 n (+.f64 i (-.f64 2 (/.f64 i n)))))) 8) |
(*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (*.f64 (/.f64 i (*.f64 n (/.f64 i (+.f64 n n)))) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 (-.f64 (exp.f64 i) 1) (*.f64 100 (/.f64 n i))) |
(*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
(*.f64 (+.f64 i (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (pow.f64 i 2))) (/.f64 100 (/.f64 i n))) |
(*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 1 (/.f64 i n)))) |
(*.f64 100 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n)))) (/.f64 -1 (/.f64 i n)))) |
(*.f64 100 (-.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n)))) (/.f64 1 (/.f64 i n)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) -1) (/.f64 100 (/.f64 i n))) |
(*.f64 100 (/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(*.f64 100 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 i (/.f64 8 n)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n))) (/.f64 1 (*.f64 i (/.f64 8 n)))) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (/.f64 i n))) |
(*.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (/.f64 100 (/.f64 i n))) |
(*.f64 100 (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))) |
(*.f64 (pow.f64 n 2) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) (/.f64 100 i))) |
(*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (neg.f64 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i)))) |
(*.f64 100 (neg.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 -1 i))) (log.f64 (/.f64 -1 n)))))) n)) i))) |
(+.f64 (*.f64 (exp.f64 i) (*.f64 i -50)) (*.f64 (/.f64 100 i) (+.f64 (*.f64 n (+.f64 -1 (exp.f64 i))) (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 (pow.f64 i 4) 1/8))) n)))) |
| Outputs |
|---|
(*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
(*.f64 (pow.f64 n 2) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) (/.f64 100 i))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
0 |
4 calls:
| 1.4s | i |
| 596.0ms | n |
| 110.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 102.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| Error | Segments | Branch |
|---|---|---|
| 9.1b | 7 | i |
| 21.0b | 6 | n |
| 21.0b | 4 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 21.0b | 4 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 979 to 565 computations (42.3% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 85.0ms | 7.155304395581762e+268 | 1.7397616428643006e+273 |
| 112.0ms | 1.7132381976047145e+204 | 3.630276868498321e+204 |
| 917.0ms | 11.88125849808457 | 4.638750358777968e+21 |
| 206.0ms | 4.196593718881794e-22 | 1.8079271229193882e-19 |
| 379.0ms | 1.5043710655686504e-100 | 6.806860660658678e-98 |
| 203.0ms | -0.006476327923644254 | -3.8192249989541955e-11 |
| 470.0ms | 254× | body | 1024 | valid |
| 423.0ms | 195× | body | 512 | valid |
| 355.0ms | 44× | body | 2048 | valid |
| 205.0ms | 83× | body | 1024 | infinite |
| 136.0ms | 291× | body | 256 | valid |
| 101.0ms | 62× | body | 512 | infinite |
| 95.0ms | 282× | body | 256 | invalid |
| 41.0ms | 135× | body | 256 | infinite |
Compiled 1361 to 1033 computations (24.1% saved)
| Inputs |
|---|
0 |
(*.f64 i -50) |
(*.f64 n 100) |
(/.f64 12800 (/.f64 128 n)) |
(*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 i (/.f64 100 (/.f64 i n))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 (+.f64 i 2) (*.f64 n 50)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) i)) |
(*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
(*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100)) |
(/.f64 (*.f64 n (*.f64 -400 (/.f64 i n))) 8) |
(/.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) 8) |
(*.f64 n (*.f64 50 (-.f64 i (-.f64 (/.f64 i n) 2)))) |
(*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 50) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 100 (*.f64 1/2 (/.f64 (-.f64 (*.f64 i 3) i) (/.f64 i n)))) |
(*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 n (-.f64 1/2 (/.f64 1/2 n)))))) |
(*.f64 100 (-.f64 (/.f64 2 (/.f64 1 n)) (/.f64 i (/.f64 i n)))) |
(+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 (/.f64 300 (/.f64 2 n)) 2)) |
(/.f64 (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) 8) |
(/.f64 (*.f64 (+.f64 2 (-.f64 i (/.f64 i n))) (*.f64 n 400)) 8) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (/.f64 (*.f64 (/.f64 i (/.f64 i n)) (*.f64 n i)) (*.f64 n i))) |
(*.f64 100 (/.f64 (/.f64 n 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (*.f64 (*.f64 i n) i) (*.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 i (/.f64 1 (/.f64 i n))) (*.f64 (/.f64 i n) (/.f64 i n)))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 n 100))) |
(*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (/.f64 (*.f64 i (/.f64 4 n)) (/.f64 i n)))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (+.f64 i i) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) |
(*.f64 100 (/.f64 (*.f64 (/.f64 i n) (*.f64 (+.f64 i i) 2)) (*.f64 i (/.f64 (*.f64 i (/.f64 4 n)) n)))) |
(*.f64 100 (-.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (*.f64 n i)) (+.f64 n (/.f64 n i))) (/.f64 1 (/.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 i n)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(/.f64 (+.f64 (/.f64 (*.f64 n (*.f64 (+.f64 i (-.f64 2 (/.f64 i n))) 1200)) 4) (*.f64 100 (*.f64 n (+.f64 i (-.f64 2 (/.f64 i n)))))) 8) |
(*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (*.f64 (/.f64 i (*.f64 n (/.f64 i (+.f64 n n)))) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 (-.f64 (exp.f64 i) 1) (*.f64 100 (/.f64 n i))) |
(*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
(*.f64 (+.f64 i (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (pow.f64 i 2))) (/.f64 100 (/.f64 i n))) |
(*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 1 (/.f64 i n)))) |
(*.f64 100 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n)))) (/.f64 -1 (/.f64 i n)))) |
(*.f64 100 (-.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n)))) (/.f64 1 (/.f64 i n)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) -1) (/.f64 100 (/.f64 i n))) |
(*.f64 100 (/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(*.f64 100 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 i (/.f64 8 n)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n))) (/.f64 1 (*.f64 i (/.f64 8 n)))) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (/.f64 i n))) |
(*.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (/.f64 100 (/.f64 i n))) |
(*.f64 100 (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i) (*.f64 -1/2 (*.f64 i (exp.f64 i))))) |
| Outputs |
|---|
(*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
(*.f64 100 (/.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (/.f64 i n))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
0 |
4 calls:
| 683.0ms | i |
| 553.0ms | n |
| 117.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 101.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| Error | Segments | Branch |
|---|---|---|
| 9.1b | 7 | i |
| 21.0b | 6 | n |
| 21.0b | 4 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 21.0b | 4 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 891 to 510 computations (42.8% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 139.0ms | 7.155304395581762e+268 | 1.7397616428643006e+273 |
| 86.0ms | 1.7132381976047145e+204 | 3.630276868498321e+204 |
| 407.0ms | 11.88125849808457 | 4.638750358777968e+21 |
| 515.0ms | 4.196593718881794e-22 | 1.8079271229193882e-19 |
| 188.0ms | 1.5043710655686504e-100 | 6.806860660658678e-98 |
| 168.0ms | -0.006476327923644254 | -3.8192249989541955e-11 |
| 452.0ms | 188× | body | 512 | valid |
| 343.0ms | 238× | body | 1024 | valid |
| 156.0ms | 297× | body | 256 | invalid |
| 141.0ms | 52× | body | 2048 | valid |
| 123.0ms | 73× | body | 1024 | infinite |
| 114.0ms | 306× | body | 256 | valid |
| 93.0ms | 63× | body | 512 | infinite |
| 44.0ms | 175× | body | 256 | infinite |
Compiled 1361 to 1017 computations (25.3% saved)
| Inputs |
|---|
0 |
(*.f64 i -50) |
(*.f64 n 100) |
(/.f64 12800 (/.f64 128 n)) |
(*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 i (/.f64 100 (/.f64 i n))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 (+.f64 i 2) (*.f64 n 50)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) i)) |
(*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
(*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100)) |
(/.f64 (*.f64 n (*.f64 -400 (/.f64 i n))) 8) |
(/.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) 8) |
(*.f64 n (*.f64 50 (-.f64 i (-.f64 (/.f64 i n) 2)))) |
(*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 50) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 100 (*.f64 1/2 (/.f64 (-.f64 (*.f64 i 3) i) (/.f64 i n)))) |
(*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 n (-.f64 1/2 (/.f64 1/2 n)))))) |
(*.f64 100 (-.f64 (/.f64 2 (/.f64 1 n)) (/.f64 i (/.f64 i n)))) |
(+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 (/.f64 300 (/.f64 2 n)) 2)) |
(/.f64 (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) 8) |
(/.f64 (*.f64 (+.f64 2 (-.f64 i (/.f64 i n))) (*.f64 n 400)) 8) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (/.f64 (*.f64 (/.f64 i (/.f64 i n)) (*.f64 n i)) (*.f64 n i))) |
(*.f64 100 (/.f64 (/.f64 n 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (*.f64 (*.f64 i n) i) (*.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 i (/.f64 1 (/.f64 i n))) (*.f64 (/.f64 i n) (/.f64 i n)))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 n 100))) |
(*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (/.f64 (*.f64 i (/.f64 4 n)) (/.f64 i n)))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (+.f64 i i) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) |
(*.f64 100 (/.f64 (*.f64 (/.f64 i n) (*.f64 (+.f64 i i) 2)) (*.f64 i (/.f64 (*.f64 i (/.f64 4 n)) n)))) |
(*.f64 100 (-.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (*.f64 n i)) (+.f64 n (/.f64 n i))) (/.f64 1 (/.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 i n)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(/.f64 (+.f64 (/.f64 (*.f64 n (*.f64 (+.f64 i (-.f64 2 (/.f64 i n))) 1200)) 4) (*.f64 100 (*.f64 n (+.f64 i (-.f64 2 (/.f64 i n)))))) 8) |
(*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (*.f64 (/.f64 i (*.f64 n (/.f64 i (+.f64 n n)))) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 (-.f64 (exp.f64 i) 1) (*.f64 100 (/.f64 n i))) |
(*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
(*.f64 (+.f64 i (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (pow.f64 i 2))) (/.f64 100 (/.f64 i n))) |
(*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 1 (/.f64 i n)))) |
(*.f64 100 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n)))) (/.f64 -1 (/.f64 i n)))) |
(*.f64 100 (-.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n)))) (/.f64 1 (/.f64 i n)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 (/.f64 i n)) (+.f64 1 (/.f64 i n))) (/.f64 n 2)) -1) (/.f64 100 (/.f64 i n))) |
(*.f64 100 (/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(*.f64 100 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 i (/.f64 8 n)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) -1) (/.f64 i n))) (/.f64 1 (*.f64 i (/.f64 8 n)))) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
| Outputs |
|---|
(*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
(*.f64 100 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n)))) (/.f64 -1 (/.f64 i n)))) |
0 |
4 calls:
| 888.0ms | n |
| 630.0ms | i |
| 83.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 76.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| Error | Segments | Branch |
|---|---|---|
| 10.7b | 6 | i |
| 22.2b | 5 | n |
| 21.0b | 4 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 21.0b | 4 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 846 to 489 computations (42.2% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 70.0ms | 7.155304395581762e+268 | 1.7397616428643006e+273 |
| 195.0ms | 1.872593604415135e-13 | 11.88125849808457 |
| 136.0ms | 4.196593718881794e-22 | 1.8079271229193882e-19 |
| 272.0ms | 1.5043710655686504e-100 | 6.806860660658678e-98 |
| 145.0ms | -0.006476327923644254 | -3.8192249989541955e-11 |
| 448.0ms | 253× | body | 1024 | valid |
| 123.0ms | 54× | body | 2048 | valid |
| 111.0ms | 181× | body | 512 | valid |
| 57.0ms | 218× | body | 256 | invalid |
| 43.0ms | 200× | body | 256 | valid |
| 16.0ms | 71× | body | 256 | infinite |
Compiled 1313 to 985 computations (25% saved)
| Inputs |
|---|
0 |
(*.f64 i -50) |
(*.f64 n 100) |
(/.f64 12800 (/.f64 128 n)) |
(*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 i (/.f64 100 (/.f64 i n))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 (+.f64 i 2) (*.f64 n 50)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) i)) |
(*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
(*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100)) |
(/.f64 (*.f64 n (*.f64 -400 (/.f64 i n))) 8) |
(/.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) 8) |
(*.f64 n (*.f64 50 (-.f64 i (-.f64 (/.f64 i n) 2)))) |
(*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 50) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 100 (*.f64 1/2 (/.f64 (-.f64 (*.f64 i 3) i) (/.f64 i n)))) |
(*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 n (-.f64 1/2 (/.f64 1/2 n)))))) |
(*.f64 100 (-.f64 (/.f64 2 (/.f64 1 n)) (/.f64 i (/.f64 i n)))) |
(+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 (/.f64 300 (/.f64 2 n)) 2)) |
(/.f64 (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) 8) |
(/.f64 (*.f64 (+.f64 2 (-.f64 i (/.f64 i n))) (*.f64 n 400)) 8) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (/.f64 (*.f64 (/.f64 i (/.f64 i n)) (*.f64 n i)) (*.f64 n i))) |
(*.f64 100 (/.f64 (/.f64 n 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (*.f64 (*.f64 i n) i) (*.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 i (/.f64 1 (/.f64 i n))) (*.f64 (/.f64 i n) (/.f64 i n)))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 n 100))) |
(*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (/.f64 (*.f64 i (/.f64 4 n)) (/.f64 i n)))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (+.f64 i i) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) |
(*.f64 100 (/.f64 (*.f64 (/.f64 i n) (*.f64 (+.f64 i i) 2)) (*.f64 i (/.f64 (*.f64 i (/.f64 4 n)) n)))) |
(*.f64 100 (-.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (*.f64 n i)) (+.f64 n (/.f64 n i))) (/.f64 1 (/.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 i n)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(/.f64 (+.f64 (/.f64 (*.f64 n (*.f64 (+.f64 i (-.f64 2 (/.f64 i n))) 1200)) 4) (*.f64 100 (*.f64 n (+.f64 i (-.f64 2 (/.f64 i n)))))) 8) |
(*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (*.f64 (/.f64 i (*.f64 n (/.f64 i (+.f64 n n)))) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 (-.f64 (exp.f64 i) 1) (*.f64 100 (/.f64 n i))) |
(*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) |
(*.f64 (+.f64 i (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (pow.f64 i 2))) (/.f64 100 (/.f64 i n))) |
(*.f64 100 (-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (/.f64 i n)) (/.f64 1 (/.f64 i n)))) |
| Outputs |
|---|
(*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
0 |
4 calls:
| 397.0ms | n |
| 389.0ms | i |
| 80.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 74.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| Error | Segments | Branch |
|---|---|---|
| 10.7b | 6 | i |
| 22.2b | 5 | n |
| 21.0b | 4 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 21.0b | 4 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 709 to 408 computations (42.5% saved)
| 5× | binary-search |
| Time | Left | Right |
|---|---|---|
| 57.0ms | 7.155304395581762e+268 | 1.7397616428643006e+273 |
| 207.0ms | 1.872593604415135e-13 | 11.88125849808457 |
| 164.0ms | 4.196593718881794e-22 | 1.8079271229193882e-19 |
| 134.0ms | 1.5043710655686504e-100 | 6.806860660658678e-98 |
| 224.0ms | -0.006476327923644254 | -3.8192249989541955e-11 |
| 351.0ms | 240× | body | 1024 | valid |
| 156.0ms | 190× | body | 512 | valid |
| 136.0ms | 58× | body | 2048 | valid |
| 78.0ms | 200× | body | 256 | valid |
| 30.0ms | 190× | body | 256 | invalid |
| 18.0ms | 78× | body | 256 | infinite |
Compiled 1169 to 877 computations (25% saved)
| Inputs |
|---|
0 |
(*.f64 i -50) |
(*.f64 n 100) |
(/.f64 12800 (/.f64 128 n)) |
(*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 i (/.f64 100 (/.f64 i n))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 (+.f64 i 2) (*.f64 n 50)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) i)) |
(*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
(*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100)) |
(/.f64 (*.f64 n (*.f64 -400 (/.f64 i n))) 8) |
(/.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) 8) |
(*.f64 n (*.f64 50 (-.f64 i (-.f64 (/.f64 i n) 2)))) |
(*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 50) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 100 (*.f64 1/2 (/.f64 (-.f64 (*.f64 i 3) i) (/.f64 i n)))) |
(*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 n (-.f64 1/2 (/.f64 1/2 n)))))) |
(*.f64 100 (-.f64 (/.f64 2 (/.f64 1 n)) (/.f64 i (/.f64 i n)))) |
(+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 (/.f64 300 (/.f64 2 n)) 2)) |
(/.f64 (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) 8) |
(/.f64 (*.f64 (+.f64 2 (-.f64 i (/.f64 i n))) (*.f64 n 400)) 8) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (/.f64 (*.f64 (/.f64 i (/.f64 i n)) (*.f64 n i)) (*.f64 n i))) |
(*.f64 100 (/.f64 (/.f64 n 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (*.f64 (*.f64 i n) i) (*.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 i (/.f64 1 (/.f64 i n))) (*.f64 (/.f64 i n) (/.f64 i n)))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 n 100))) |
(*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (/.f64 (*.f64 i (/.f64 4 n)) (/.f64 i n)))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (+.f64 i i) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) |
(*.f64 100 (/.f64 (*.f64 (/.f64 i n) (*.f64 (+.f64 i i) 2)) (*.f64 i (/.f64 (*.f64 i (/.f64 4 n)) n)))) |
(*.f64 100 (-.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (*.f64 n i)) (+.f64 n (/.f64 n i))) (/.f64 1 (/.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 i n)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(/.f64 (+.f64 (/.f64 (*.f64 n (*.f64 (+.f64 i (-.f64 2 (/.f64 i n))) 1200)) 4) (*.f64 100 (*.f64 n (+.f64 i (-.f64 2 (/.f64 i n)))))) 8) |
(*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (*.f64 (/.f64 i (*.f64 n (/.f64 i (+.f64 n n)))) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) |
(*.f64 n (*.f64 (+.f64 (exp.f64 i) -1) (/.f64 100 i))) |
(*.f64 (-.f64 (exp.f64 i) 1) (*.f64 100 (/.f64 n i))) |
(*.f64 (-.f64 (exp.f64 i) 1) (/.f64 100 (/.f64 i n))) |
| Outputs |
|---|
(*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
0 |
2 calls:
| 388.0ms | i |
| 209.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 11.9b | 5 | i |
| 24.0b | 3 | n |
Compiled 611 to 352 computations (42.4% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 328.0ms | 11.88125849808457 | 4.638750358777968e+21 |
| 96.0ms | 4.196593718881794e-22 | 1.8079271229193882e-19 |
| 136.0ms | 1.5043710655686504e-100 | 6.806860660658678e-98 |
| 103.0ms | -0.006476327923644254 | -3.8192249989541955e-11 |
| 262.0ms | 224× | body | 1024 | valid |
| 98.0ms | 79× | body | 1024 | infinite |
| 88.0ms | 204× | body | 512 | valid |
| 85.0ms | 50× | body | 2048 | valid |
| 47.0ms | 172× | body | 256 | invalid |
| 37.0ms | 48× | body | 512 | infinite |
| 19.0ms | 98× | body | 256 | valid |
| 11.0ms | 36× | body | 256 | infinite |
Compiled 867 to 681 computations (21.5% saved)
| Inputs |
|---|
0 |
(*.f64 i -50) |
(*.f64 n 100) |
(/.f64 12800 (/.f64 128 n)) |
(*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 i (/.f64 100 (/.f64 i n))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 (+.f64 i 2) (*.f64 n 50)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) i)) |
(*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
(*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100)) |
(/.f64 (*.f64 n (*.f64 -400 (/.f64 i n))) 8) |
(/.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) 8) |
(*.f64 n (*.f64 50 (-.f64 i (-.f64 (/.f64 i n) 2)))) |
(*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 50) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 100 (*.f64 1/2 (/.f64 (-.f64 (*.f64 i 3) i) (/.f64 i n)))) |
(*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 n (-.f64 1/2 (/.f64 1/2 n)))))) |
(*.f64 100 (-.f64 (/.f64 2 (/.f64 1 n)) (/.f64 i (/.f64 i n)))) |
(+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 (/.f64 300 (/.f64 2 n)) 2)) |
(/.f64 (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) 8) |
(/.f64 (*.f64 (+.f64 2 (-.f64 i (/.f64 i n))) (*.f64 n 400)) 8) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (/.f64 (*.f64 (/.f64 i (/.f64 i n)) (*.f64 n i)) (*.f64 n i))) |
(*.f64 100 (/.f64 (/.f64 n 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (*.f64 (*.f64 i n) i) (*.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 i (/.f64 1 (/.f64 i n))) (*.f64 (/.f64 i n) (/.f64 i n)))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 n 100))) |
(*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (/.f64 (*.f64 i (/.f64 4 n)) (/.f64 i n)))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (+.f64 i i) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) |
(*.f64 100 (/.f64 (*.f64 (/.f64 i n) (*.f64 (+.f64 i i) 2)) (*.f64 i (/.f64 (*.f64 i (/.f64 4 n)) n)))) |
(*.f64 100 (-.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (*.f64 n i)) (+.f64 n (/.f64 n i))) (/.f64 1 (/.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 i n)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(/.f64 (+.f64 (/.f64 (*.f64 n (*.f64 (+.f64 i (-.f64 2 (/.f64 i n))) 1200)) 4) (*.f64 100 (*.f64 n (+.f64 i (-.f64 2 (/.f64 i n)))))) 8) |
(*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (*.f64 (/.f64 i (*.f64 n (/.f64 i (+.f64 n n)))) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
| Outputs |
|---|
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
0 |
2 calls:
| 229.0ms | n |
| 222.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 11.9b | 5 | i |
| 24.0b | 3 | n |
Compiled 571 to 330 computations (42.2% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 328.0ms | 11.88125849808457 | 4.638750358777968e+21 |
| 146.0ms | 4.196593718881794e-22 | 1.8079271229193882e-19 |
| 143.0ms | 1.5043710655686504e-100 | 6.806860660658678e-98 |
| 150.0ms | -0.006476327923644254 | -3.8192249989541955e-11 |
| 276.0ms | 223× | body | 1024 | valid |
| 148.0ms | 76× | body | 1024 | infinite |
| 99.0ms | 49× | body | 2048 | valid |
| 90.0ms | 202× | body | 512 | valid |
| 61.0ms | 35× | body | 512 | infinite |
| 45.0ms | 184× | body | 256 | invalid |
| 21.0ms | 102× | body | 256 | valid |
| 10.0ms | 32× | body | 256 | infinite |
Compiled 867 to 681 computations (21.5% saved)
| Inputs |
|---|
0 |
(*.f64 i -50) |
(*.f64 n 100) |
(/.f64 12800 (/.f64 128 n)) |
(*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 i (/.f64 100 (/.f64 i n))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 (+.f64 i 2) (*.f64 n 50)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) i)) |
(*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
(*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100)) |
(/.f64 (*.f64 n (*.f64 -400 (/.f64 i n))) 8) |
(/.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) 8) |
(*.f64 n (*.f64 50 (-.f64 i (-.f64 (/.f64 i n) 2)))) |
(*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 50) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 100 (*.f64 1/2 (/.f64 (-.f64 (*.f64 i 3) i) (/.f64 i n)))) |
(*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) |
(*.f64 100 (+.f64 n (*.f64 i (*.f64 n (-.f64 1/2 (/.f64 1/2 n)))))) |
(*.f64 100 (-.f64 (/.f64 2 (/.f64 1 n)) (/.f64 i (/.f64 i n)))) |
(+.f64 (/.f64 100 (/.f64 4 n)) (/.f64 (/.f64 300 (/.f64 2 n)) 2)) |
(/.f64 (*.f64 n (*.f64 (-.f64 (-.f64 i -2) (/.f64 i n)) 400)) 8) |
(/.f64 (*.f64 (+.f64 2 (-.f64 i (/.f64 i n))) (*.f64 n 400)) 8) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 100 (/.f64 (*.f64 (/.f64 i (/.f64 i n)) (*.f64 n i)) (*.f64 n i))) |
(*.f64 100 (/.f64 (/.f64 n 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (*.f64 (/.f64 i n) (/.f64 i (/.f64 i n))))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (*.f64 (*.f64 i n) i) (*.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 i (/.f64 1 (/.f64 i n))) (*.f64 (/.f64 i n) (/.f64 i n)))) |
(+.f64 (*.f64 n 100) (*.f64 (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (*.f64 n 100))) |
(*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (/.f64 (*.f64 i (/.f64 4 n)) (/.f64 i n)))) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) (/.f64 (+.f64 i i) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) |
(*.f64 100 (/.f64 (*.f64 (/.f64 i n) (*.f64 (+.f64 i i) 2)) (*.f64 i (/.f64 (*.f64 i (/.f64 4 n)) n)))) |
(*.f64 100 (-.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/2 n)) (*.f64 n i)) (+.f64 n (/.f64 n i))) (/.f64 1 (/.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 (/.f64 i (*.f64 (/.f64 i n) (/.f64 i n))) (/.f64 i n)) (/.f64 (/.f64 1 (/.f64 i n)) (/.f64 i n)))) |
(*.f64 100 (/.f64 (/.f64 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) 2) (/.f64 (/.f64 i n) (*.f64 i (/.f64 2 n))))) |
(/.f64 (+.f64 (/.f64 (*.f64 n (*.f64 (+.f64 i (-.f64 2 (/.f64 i n))) 1200)) 4) (*.f64 100 (*.f64 n (+.f64 i (-.f64 2 (/.f64 i n)))))) 8) |
(*.f64 100 (/.f64 (*.f64 i (/.f64 4 (/.f64 i n))) (*.f64 (/.f64 i (*.f64 n (/.f64 i (+.f64 n n)))) (/.f64 i (*.f64 n (/.f64 i (+.f64 n n))))))) |
| Outputs |
|---|
0 |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
0 |
2 calls:
| 186.0ms | i |
| 165.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 20.9b | 5 | i |
| 24.0b | 3 | n |
Compiled 561 to 323 computations (42.4% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 243.0ms | 11.88125849808457 | 4.638750358777968e+21 |
| 159.0ms | 4.196593718881794e-22 | 1.8079271229193882e-19 |
| 152.0ms | 1.5043710655686504e-100 | 6.806860660658678e-98 |
| 156.0ms | -9.831736535384851e+28 | -9.043903941425948e+23 |
| 241.0ms | 202× | body | 1024 | valid |
| 108.0ms | 53× | body | 2048 | valid |
| 106.0ms | 198× | body | 512 | valid |
| 100.0ms | 81× | body | 1024 | infinite |
| 77.0ms | 123× | body | 256 | valid |
| 28.0ms | 178× | body | 256 | invalid |
| 26.0ms | 35× | body | 512 | infinite |
| 10.0ms | 33× | body | 256 | infinite |
Compiled 786 to 627 computations (20.2% saved)
| Inputs |
|---|
0 |
(*.f64 i -50) |
(*.f64 n 100) |
(/.f64 12800 (/.f64 128 n)) |
(*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 i (/.f64 100 (/.f64 i n))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 (+.f64 i 2) (*.f64 n 50)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) i)) |
(*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
(*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100)) |
(/.f64 (*.f64 n (*.f64 -400 (/.f64 i n))) 8) |
(/.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) 8) |
(*.f64 n (*.f64 50 (-.f64 i (-.f64 (/.f64 i n) 2)))) |
(*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 50) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
(*.f64 100 (*.f64 1/2 (/.f64 (-.f64 (*.f64 i 3) i) (/.f64 i n)))) |
| Outputs |
|---|
0 |
(-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) |
0 |
2 calls:
| 56.0ms | n |
| 56.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 22.1b | 3 | i |
| 24.0b | 3 | n |
Compiled 178 to 119 computations (33.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 304.0ms | 11.88125849808457 | 4.638750358777968e+21 |
| 97.0ms | -9.831736535384851e+28 | -9.043903941425948e+23 |
| 136.0ms | 103× | body | 1024 | valid |
| 110.0ms | 88× | body | 1024 | infinite |
| 55.0ms | 126× | body | 512 | valid |
| 37.0ms | 48× | body | 512 | infinite |
| 20.0ms | 123× | body | 256 | invalid |
| 20.0ms | 88× | body | 256 | valid |
| 10.0ms | 32× | body | 256 | infinite |
| 6.0ms | 3× | body | 2048 | valid |
Compiled 382 to 335 computations (12.3% saved)
| Inputs |
|---|
0 |
(*.f64 i -50) |
(*.f64 n 100) |
(/.f64 12800 (/.f64 128 n)) |
(*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 i (/.f64 100 (/.f64 i n))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 (+.f64 i 2) (*.f64 n 50)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) i)) |
(*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
(*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100)) |
(/.f64 (*.f64 n (*.f64 -400 (/.f64 i n))) 8) |
(/.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) 8) |
(*.f64 n (*.f64 50 (-.f64 i (-.f64 (/.f64 i n) 2)))) |
(*.f64 (*.f64 n (-.f64 (+.f64 i 2) (/.f64 i n))) 50) |
(+.f64 (*.f64 i -50) (*.f64 (+.f64 i 2) (*.f64 n 50))) |
| Outputs |
|---|
0 |
(*.f64 n (*.f64 50 (-.f64 i (-.f64 (/.f64 i n) 2)))) |
0 |
2 calls:
| 104.0ms | i |
| 52.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 22.3b | 3 | i |
| 24.0b | 3 | n |
Compiled 154 to 102 computations (33.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 221.0ms | 11.88125849808457 | 4.638750358777968e+21 |
| 192.0ms | -307.52693746602 | -0.007865378997225237 |
| 170.0ms | 105× | body | 1024 | valid |
| 88.0ms | 133× | body | 512 | valid |
| 68.0ms | 56× | body | 1024 | infinite |
| 31.0ms | 42× | body | 512 | infinite |
| 18.0ms | 112× | body | 256 | invalid |
| 12.0ms | 60× | body | 256 | valid |
| 9.0ms | 6× | body | 2048 | valid |
| 9.0ms | 31× | body | 256 | infinite |
Compiled 364 to 281 computations (22.8% saved)
| Inputs |
|---|
0 |
(*.f64 i -50) |
(*.f64 n 100) |
(/.f64 12800 (/.f64 128 n)) |
(*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
(*.f64 100 (/.f64 2 (/.f64 2 n))) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(*.f64 i (/.f64 100 (/.f64 i n))) |
(*.f64 n (*.f64 50 (+.f64 i 2))) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 (+.f64 i 2) (*.f64 n 50)) |
(+.f64 (*.f64 100 n) (*.f64 -50 i)) |
(*.f64 100 (*.f64 (/.f64 1 (/.f64 i n)) i)) |
(*.f64 (+.f64 1 -1) (/.f64 100 (/.f64 i n))) |
(*.f64 (+.f64 (*.f64 i 1/2) 1) (*.f64 n 100)) |
(/.f64 (*.f64 n (*.f64 -400 (/.f64 i n))) 8) |
(/.f64 (*.f64 (+.f64 n (-.f64 n i)) 400) 8) |
| Outputs |
|---|
0 |
(*.f64 100 (+.f64 n (*.f64 -1/2 i))) |
0 |
2 calls:
| 41.0ms | n |
| 40.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 22.3b | 3 | i |
| 24.0b | 3 | n |
Compiled 121 to 82 computations (32.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 321.0ms | 11.88125849808457 | 4.638750358777968e+21 |
| 102.0ms | -9.831736535384851e+28 | -9.043903941425948e+23 |
| 132.0ms | 92× | body | 1024 | infinite |
| 103.0ms | 106× | body | 1024 | valid |
| 75.0ms | 123× | body | 512 | valid |
| 40.0ms | 51× | body | 512 | infinite |
| 21.0ms | 86× | body | 256 | valid |
| 21.0ms | 125× | body | 256 | invalid |
| 12.0ms | 39× | body | 256 | infinite |
| 9.0ms | 5× | body | 2048 | valid |
Compiled 302 to 255 computations (15.6% saved)
| Inputs |
|---|
0 |
(*.f64 i -50) |
(*.f64 n 100) |
(/.f64 12800 (/.f64 128 n)) |
| Outputs |
|---|
0 |
(/.f64 12800 (/.f64 128 n)) |
0 |
2 calls:
| 37.0ms | n |
| 33.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 22.4b | 3 | i |
| 24.0b | 3 | n |
Compiled 20 to 15 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 432.0ms | 11.88125849808457 | 4.638750358777968e+21 |
| 165.0ms | -9.831736535384851e+28 | -9.043903941425948e+23 |
| 239.0ms | 99× | body | 1024 | valid |
| 130.0ms | 77× | body | 1024 | infinite |
| 63.0ms | 60× | body | 512 | infinite |
| 56.0ms | 104× | body | 256 | valid |
| 52.0ms | 116× | body | 512 | valid |
| 20.0ms | 121× | body | 256 | invalid |
| 12.0ms | 37× | body | 256 | infinite |
| 2.0ms | 1× | body | 2048 | valid |
Compiled 262 to 235 computations (10.3% saved)
| Inputs |
|---|
0 |
(*.f64 i -50) |
(*.f64 n 100) |
| Outputs |
|---|
0 |
(*.f64 n 100) |
0 |
2 calls:
| 32.0ms | i |
| 26.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 22.5b | 3 | i |
| 24.0b | 3 | n |
Compiled 15 to 11 computations (26.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 276.0ms | 11.88125849808457 | 4.638750358777968e+21 |
| 176.0ms | -9.831736535384851e+28 | -9.043903941425948e+23 |
| 149.0ms | 116× | body | 1024 | valid |
| 96.0ms | 65× | body | 1024 | infinite |
| 71.0ms | 117× | body | 512 | valid |
| 59.0ms | 86× | body | 256 | valid |
| 41.0ms | 52× | body | 512 | infinite |
| 20.0ms | 116× | body | 256 | invalid |
| 6.0ms | 22× | body | 256 | infinite |
| 2.0ms | 1× | body | 2048 | valid |
Compiled 222 to 195 computations (12.2% saved)
Total -10.5b remaining (-20.2%)
Threshold costs -10.5b (-20.2%)
| Inputs |
|---|
0 |
(*.f64 i -50) |
| Outputs |
|---|
0 |
2 calls:
| 6.0ms | i |
| 6.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 52.0b | 1 | i |
| 52.0b | 1 | n |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 1581 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 i -5077488442381443/1208925819614629174706176) (*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) (if (<=.f64 i 2616539473979321/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) (if (<=.f64 i 8932412131674635/21267647932558653966460912964485513216) (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) (if (<=.f64 i 12) (*.f64 n (*.f64 50 (+.f64 i 2))) (if (<=.f64 i 1749999999999999945537279284121116754170500342394539691784096422111747951892561628676099497514199492136999860900657273699595023518174726621973270803496674276565704583462114698621852874185457450167201431552) (*.f64 (pow.f64 n 2) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) (/.f64 100 i))) (if (<=.f64 i 319999999999999984931154728127160036656042955988703846542198385080071113894660323224791592140770236030863809881568860698368297080270127229341017583564460494198120942997063499228931516112662430180737825497411525563342666971929432481799487989831572338538974174126180038344704) (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 0)))))) |
(if (<=.f64 i -5077488442381443/1208925819614629174706176) (*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) (if (<=.f64 i 2616539473979321/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) (if (<=.f64 i 8932412131674635/21267647932558653966460912964485513216) (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) (if (<=.f64 i 12) (*.f64 n (*.f64 50 (+.f64 i 2))) (if (<=.f64 i 2399999999999999973045858900151906743622427035909198151940083637216702268376684804266624726704016556284462092829335413891555822713817714967396609292669022973953836679189737228268954111525194220750449410048) (*.f64 100 (/.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (/.f64 i n))) (if (<=.f64 i 124999999999999993175292712074084360572372067744430332391576294978214836780364264914355270352584409956129900912446413604230863648892335621563498660292086972825958380028239784381335508157645939622272169348783200633183258296172106293911632615442380804833710050863089369219072) (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 0)))))) |
(if (<=.f64 i -5077488442381443/1208925819614629174706176) (*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) (if (<=.f64 i 2616539473979321/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) (if (<=.f64 i 8932412131674635/21267647932558653966460912964485513216) (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) (if (<=.f64 i 2589569785738035/1125899906842624) (*.f64 n (*.f64 50 (+.f64 i 2))) (if (<=.f64 i 539999999999999978325082018116932676842651335985566171695839571597371773036188990823151593047165627275787778465313142852773510915308571009104312505416148714840059544627497234968685394735569139598309255471454655548130634474082230390201805505183086880916825862457727647744) (*.f64 100 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n)))) (/.f64 -1 (/.f64 i n)))) 0))))) |
(if (<=.f64 i -5077488442381443/1208925819614629174706176) (*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) (if (<=.f64 i 7757269969915163/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) (if (<=.f64 i 8932412131674635/21267647932558653966460912964485513216) (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) (if (<=.f64 i 4278419646001971/4503599627370496) (*.f64 n (*.f64 50 (+.f64 i 2))) (if (<=.f64 i 10499999999999999787085395596848697326694823074976477263856869268546216050089769009412157715340212417790601208501405023485985467372818397932103039447042982281930627441087589569939074969605582640429023019976768644546422556937782984096433413842021609330733110860000194985984) (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) 0))))) |
(if (<=.f64 i -5077488442381443/1208925819614629174706176) (*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) (if (<=.f64 i 2616539473979321/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) (if (<=.f64 i 8932412131674635/21267647932558653966460912964485513216) (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) (if (<=.f64 i 36) (*.f64 n (*.f64 50 (+.f64 i 2))) 0)))) |
(if (<=.f64 i -5077488442381443/1208925819614629174706176) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) (if (<=.f64 i 2616539473979321/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) (if (<=.f64 i 8932412131674635/21267647932558653966460912964485513216) (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) (if (<=.f64 i 3996944669291315/281474976710656) (*.f64 n (*.f64 50 (+.f64 i 2))) 0)))) |
(if (<=.f64 i -980000000000000058720256) 0 (if (<=.f64 i 2616539473979321/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) (if (<=.f64 i 8932412131674635/21267647932558653966460912964485513216) (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) (if (<=.f64 i 63) (*.f64 n (*.f64 50 (+.f64 i 2))) 0)))) |
(if (<=.f64 i -289999999999999998355832832) 0 (if (<=.f64 i 3433994715870003/281474976710656) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) 0)) |
(if (<=.f64 i -7566047373982433/72057594037927936) 0 (if (<=.f64 i 12) (*.f64 n (*.f64 50 (-.f64 i (-.f64 (/.f64 i n) 2)))) 0)) |
(if (<=.f64 i -939999999999999941279744) 0 (if (<=.f64 i 21) (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 0)) |
(if (<=.f64 i -289999999999999998355832832) 0 (if (<=.f64 i 32) (/.f64 12800 (/.f64 128 n)) 0)) |
(if (<=.f64 i -1400000000000000083886080) 0 (if (<=.f64 i 17) (*.f64 n 100) 0)) |
0 |
| Outputs |
|---|
(if (<=.f64 i -5077488442381443/1208925819614629174706176) (*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) (if (<=.f64 i 2616539473979321/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) (if (<=.f64 i 8932412131674635/21267647932558653966460912964485513216) (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) (if (<=.f64 i 12) (*.f64 n (*.f64 50 (+.f64 i 2))) (if (<=.f64 i 1749999999999999945537279284121116754170500342394539691784096422111747951892561628676099497514199492136999860900657273699595023518174726621973270803496674276565704583462114698621852874185457450167201431552) (*.f64 (pow.f64 n 2) (*.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) (/.f64 100 i))) (if (<=.f64 i 319999999999999984931154728127160036656042955988703846542198385080071113894660323224791592140770236030863809881568860698368297080270127229341017583564460494198120942997063499228931516112662430180737825497411525563342666971929432481799487989831572338538974174126180038344704) (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 0)))))) |
(if (<=.f64 i -5077488442381443/1208925819614629174706176) (*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) (if (<=.f64 i 2616539473979321/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) (if (<=.f64 i 8932412131674635/21267647932558653966460912964485513216) (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) (if (<=.f64 i 12) (*.f64 n (*.f64 50 (+.f64 i 2))) (if (<=.f64 i 2399999999999999973045858900151906743622427035909198151940083637216702268376684804266624726704016556284462092829335413891555822713817714967396609292669022973953836679189737228268954111525194220750449410048) (*.f64 100 (/.f64 (*.f64 n (+.f64 (neg.f64 (log.f64 n)) (log.f64 i))) (/.f64 i n))) (if (<=.f64 i 124999999999999993175292712074084360572372067744430332391576294978214836780364264914355270352584409956129900912446413604230863648892335621563498660292086972825958380028239784381335508157645939622272169348783200633183258296172106293911632615442380804833710050863089369219072) (*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 100 (/.f64 i n))) 0)))))) |
(if (<=.f64 i -5077488442381443/1208925819614629174706176) (*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) (if (<=.f64 i 2616539473979321/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) (if (<=.f64 i 8932412131674635/21267647932558653966460912964485513216) (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) (if (<=.f64 i 2589569785738035/1125899906842624) (*.f64 n (*.f64 50 (+.f64 i 2))) (if (<=.f64 i 539999999999999978325082018116932676842651335985566171695839571597371773036188990823151593047165627275787778465313142852773510915308571009104312505416148714840059544627497234968685394735569139598309255471454655548130634474082230390201805505183086880916825862457727647744) (*.f64 100 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) (*.f64 i (/.f64 2 n)))) (/.f64 -1 (/.f64 i n)))) 0))))) |
(if (<=.f64 i -5077488442381443/1208925819614629174706176) (*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) (if (<=.f64 i 7757269969915163/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) (if (<=.f64 i 8932412131674635/21267647932558653966460912964485513216) (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) (if (<=.f64 i 4278419646001971/4503599627370496) (*.f64 n (*.f64 50 (+.f64 i 2))) (if (<=.f64 i 10499999999999999787085395596848697326694823074976477263856869268546216050089769009412157715340212417790601208501405023485985467372818397932103039447042982281930627441087589569939074969605582640429023019976768644546422556937782984096433413842021609330733110860000194985984) (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) 0))))) |
(if (<=.f64 i -5077488442381443/1208925819614629174706176) (*.f64 n (*.f64 (+.f64 -1 (exp.f64 i)) (/.f64 100 i))) (if (<=.f64 i 2616539473979321/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) (if (<=.f64 i 8932412131674635/21267647932558653966460912964485513216) (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) (if (<=.f64 i 36) (*.f64 n (*.f64 50 (+.f64 i 2))) 0)))) |
(if (<=.f64 i -5077488442381443/1208925819614629174706176) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) (if (<=.f64 i 2616539473979321/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) (if (<=.f64 i 8932412131674635/21267647932558653966460912964485513216) (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) (if (<=.f64 i 3996944669291315/281474976710656) (*.f64 n (*.f64 50 (+.f64 i 2))) 0)))) |
(if (<=.f64 i -980000000000000058720256) 0 (if (<=.f64 i 2616539473979321/38478521676166483605741250097796497856523182881313912761668255277583712667477744737709244389536050430475222646784) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) (if (<=.f64 i 8932412131674635/21267647932558653966460912964485513216) (*.f64 100 (*.f64 (/.f64 i n) (/.f64 1 (/.f64 i (*.f64 n n))))) (if (<=.f64 i 63) (*.f64 n (*.f64 50 (+.f64 i 2))) 0)))) |
(if (<=.f64 i -289999999999999998355832832) 0 (if (<=.f64 i 3433994715870003/281474976710656) (-.f64 (/.f64 76800 (/.f64 1024 n)) (/.f64 25600 (/.f64 -1024 n))) 0)) |
(if (<=.f64 i -7566047373982433/72057594037927936) 0 (if (<=.f64 i 12) (*.f64 n (*.f64 50 (-.f64 i (-.f64 (/.f64 i n) 2)))) 0)) |
(if (<=.f64 i -939999999999999941279744) 0 (if (<=.f64 i 21) (*.f64 100 (+.f64 n (*.f64 -1/2 i))) 0)) |
(if (<=.f64 i -289999999999999998355832832) 0 (if (<=.f64 i 32) (/.f64 12800 (/.f64 128 n)) 0)) |
(if (<=.f64 i -1400000000000000083886080) 0 (if (<=.f64 i 17) (*.f64 n 100) 0)) |
0 |
Compiled 631 to 456 computations (27.7% saved)
| 12× | egg-herbie |
| 1604× | rational_best-simplify-51 |
| 1604× | rational_best-simplify-51 |
| 1604× | rational_best-simplify-51 |
| 1604× | rational_best-simplify-51 |
| 1414× | rational_best-simplify-48 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 1 | 27 | 43 |
| 2 | 57 | 43 |
| 3 | 118 | 43 |
| 4 | 273 | 43 |
| 5 | 753 | 43 |
| 6 | 2232 | 43 |
| 7 | 6379 | 43 |
| 0 | 392 | 8411 |
| 1 | 1019 | 8049 |
| 2 | 2389 | 7863 |
| 3 | 6159 | 7847 |
| 0 | 127 | 1261 |
| 1 | 314 | 1189 |
| 2 | 1117 | 1123 |
| 3 | 5774 | 1117 |
| 0 | 163 | 1032 |
| 1 | 441 | 1032 |
| 2 | 1055 | 1032 |
| 3 | 3277 | 1032 |
| 0 | 123 | 784 |
| 1 | 291 | 784 |
| 2 | 556 | 742 |
| 3 | 1314 | 742 |
| 4 | 4174 | 742 |
| 0 | 127 | 1261 |
| 1 | 314 | 1189 |
| 2 | 1117 | 1123 |
| 3 | 5774 | 1117 |
| 0 | 311 | 5752 |
| 1 | 804 | 5410 |
| 2 | 2358 | 5136 |
| 0 | 313 | 6678 |
| 1 | 798 | 6294 |
| 2 | 2031 | 6288 |
| 3 | 7420 | 5574 |
| 0 | 12 | 43 |
| 1 | 27 | 43 |
| 2 | 57 | 43 |
| 3 | 118 | 43 |
| 4 | 273 | 43 |
| 5 | 753 | 43 |
| 6 | 2232 | 43 |
| 7 | 6379 | 43 |
| 0 | 392 | 8411 |
| 1 | 1019 | 8049 |
| 2 | 2389 | 7863 |
| 3 | 6159 | 7847 |
| 0 | 12 | 43 |
| 1 | 27 | 43 |
| 2 | 57 | 43 |
| 3 | 118 | 43 |
| 4 | 273 | 43 |
| 5 | 753 | 43 |
| 6 | 2232 | 43 |
| 7 | 6379 | 43 |
| 0 | 12 | 43 |
| 1 | 27 | 43 |
| 2 | 57 | 43 |
| 3 | 118 | 43 |
| 4 | 273 | 43 |
| 5 | 753 | 43 |
| 6 | 2232 | 43 |
| 7 | 6379 | 43 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 1619 to 1162 computations (28.2% saved)
Compiled 607 to 404 computations (33.4% saved)
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