Time bar (total: 25.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 12.5% | 84.3% | 3.2% | 7 |
| 19.5% | 76.5% | 4% | 8 |
| 29.3% | 59.7% | 11% | 9 |
| 33.4% | 54.2% | 12.4% | 10 |
| 38.6% | 44.1% | 17.3% | 11 |
| 40.8% | 40.7% | 18.5% | 12 |
Compiled 18 to 12 computations (33.3% saved)
| 3.3s | 1791× | body | 2048 | valid |
| 2.8s | 2753× | body | 1024 | valid |
| 460.0ms | 2471× | body | 256 | valid |
| 460.0ms | 1208× | body | 512 | valid |
| 183.0ms | 1179× | body | 256 | invalid |
| 134.0ms | 183× | body | 1024 | invalid |
| 130.0ms | 247× | body | 512 | invalid |
| 84.0ms | 33× | body | 4096 | valid |
| 29.0ms | 22× | body | 2048 | invalid |
| 2× | egg-herbie |
| 530× | times-frac_binary64 |
| 476× | associate-*l*_binary64 |
| 458× | associate-*r*_binary64 |
| 360× | associate-/l*_binary64 |
| 342× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 44 |
| 1 | 48 | 44 |
| 2 | 123 | 40 |
| 3 | 329 | 40 |
| 4 | 1057 | 40 |
| 5 | 5890 | 40 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) 1) (/.f64 n i))) |
| Outputs |
|---|
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(*.f64 100 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n))) |
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n)) |
(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i)) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) 1) (/.f64 n i))) |
(*.f64 100 (*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) -1) n) i)) |
(*.f64 100 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 n i)) i) -1) (/.f64 n i))) |
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 n i)) i) -100) (/.f64 n i)) |
(*.f64 i (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 n i)) i) -100) n)) |
(*.f64 (/.f64 i n) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 n i)) i) -100)) |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
| 701× | fma-def_binary64 |
| 561× | associate-/r/_binary64 |
| 483× | associate-/r*_binary64 |
| 476× | associate-*l/_binary64 |
| 408× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 29 | 22 |
| 2 | 68 | 20 |
| 3 | 172 | 20 |
| 4 | 531 | 20 |
| 5 | 2393 | 20 |
| 6 | 7263 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| Outputs |
|---|
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n)) |
(*.f64 100 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n))) |
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n)) |
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) |
Compiled 31 to 19 computations (38.7% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 48.2b | (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) |
| ▶ | 48.0b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
Compiled 33 to 22 computations (33.3% 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))) |
| ✓ | 2.1b | (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) |
| ✓ | 6.3b | (pow.f64 (+.f64 1 (/.f64 i n)) n) |
| ✓ | 11.8b | (/.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 | |
|---|---|---|---|---|
| 6.0ms | n | @ | inf | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 3.0ms | 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)) |
| 3.0ms | i | @ | -inf | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 2.0ms | i | @ | 0 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 1× | batch-egg-rewrite |
| 722× | prod-diff_binary64 |
| 659× | log-prod_binary64 |
| 267× | fma-def_binary64 |
| 250× | egg-rr |
| 221× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 64 |
| 1 | 257 | 58 |
| 2 | 3769 | 58 |
| 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 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))) (cbrt.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) (/.f64 (neg.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) 1) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (sqrt.f64 (/.f64 i n))) (sqrt.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) (/.f64 (neg.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (neg.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) (/.f64 (neg.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))) 10) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))) 1)))))) |
| 1× | egg-herbie |
| 779× | associate-/l*_binary64 |
| 588× | associate-/r*_binary64 |
| 399× | fma-def_binary64 |
| 263× | +-commutative_binary64 |
| 239× | associate-/r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 365 | 5519 |
| 1 | 1221 | 5121 |
| 2 | 4462 | 4705 |
| 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)) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
| Outputs |
|---|
n |
(+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 n (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n)))) |
(fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n) |
(fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 n (*.f64 n (+.f64 (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))) (*.f64 i (-.f64 1/2 (/.f64 1/2 n)))))) |
(fma.f64 n (fma.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n) |
(fma.f64 n (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i))) n) |
(+.f64 n (+.f64 (*.f64 n (*.f64 (pow.f64 i 2) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 n (*.f64 (pow.f64 i 3) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n))))))))) |
(+.f64 n (fma.f64 n (*.f64 (*.f64 i i) (-.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) 1/6) (/.f64 1/2 n))) (*.f64 n (+.f64 (*.f64 i (-.f64 1/2 (/.f64 1/2 n))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))))))))) |
(+.f64 n (*.f64 n (+.f64 (fma.f64 (*.f64 i i) (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (-.f64 (/.f64 11/24 (*.f64 n n)) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))))))) |
(+.f64 n (*.f64 n (+.f64 (*.f64 i (+.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i))) (*.f64 (pow.f64 i 3) (+.f64 1/24 (-.f64 (+.f64 (/.f64 11/24 (*.f64 n n)) (/.f64 -1/4 n)) (/.f64 1/4 (pow.f64 n 3)))))))) |
(/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i) |
(/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) |
(*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) |
(*.f64 (/.f64 n i) (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1)) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) |
(+.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) |
(+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))))) |
(+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1)) (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i) (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)))) |
(+.f64 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (+.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) (/.f64 (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 3)))) |
(+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)))) (*.f64 (/.f64 n i) (+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) i)) (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2)) (+.f64 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i) (+.f64 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3)) (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))))) |
(+.f64 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))) (+.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))) (+.f64 (/.f64 (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 3)) (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 -1/2 (pow.f64 n 5) (*.f64 1/3 (pow.f64 n 4)))))))))) |
(+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) (+.f64 (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))) (/.f64 n (/.f64 (/.f64 (pow.f64 i 4) (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 1/3 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 5))))))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)))) (+.f64 (*.f64 (/.f64 n i) (+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) i)) (fma.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n)) -1))) (*.f64 (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 i n) (pow.f64 n (neg.f64 n))))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 1/3 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 5))))))) |
(/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i) |
(/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) |
(*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) |
(*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) |
(+.f64 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2)) (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)) |
(+.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) |
(+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (pow.f64 n 3) i))) |
(+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) i) (/.f64 (pow.f64 n 3) 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 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (+.f64 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (pow.f64 n 3) i)) (+.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))))) |
(+.f64 (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) i) (+.f64 (/.f64 (pow.f64 n 3) i) (/.f64 n (*.f64 (/.f64 i (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2))) i))))) |
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1 |
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1 |
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(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) 1) |
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(exp.f64 i) |
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i |
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(fma.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (fma.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i) (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 1/2 (pow.f64 i 3)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) i) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (pow.f64 i 3)) (+.f64 (/.f64 1/2 (pow.f64 i 3)) (/.f64 1/3 (pow.f64 i 4))))))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))))))) |
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(*.f64 100 (+.f64 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))) (fma.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (+.f64 (/.f64 1/3 (pow.f64 i 4)) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (/.f64 1/2 (pow.f64 i 3)))))) (*.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3)))))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)) |
(fma.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100 (*.f64 i (*.f64 (exp.f64 i) -50))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i)))))) |
(fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (exp.f64 i) i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i))))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 100 (+.f64 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (*.f64 n n)))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (*.f64 n n)) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n))) (*.f64 (/.f64 n i) (expm1.f64 i))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 (*.f64 100 (*.f64 n (expm1.f64 i))) i)) |
(fma.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100 (*.f64 i (*.f64 (exp.f64 i) -50))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i)))))) |
(fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 -100 (/.f64 (exp.f64 i) (/.f64 (*.f64 i (*.f64 n n)) (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))))) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (expm1.f64 i))))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 (/.f64 -100 i) (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))) n))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (fma.f64 100 (fma.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 (*.f64 (/.f64 (exp.f64 i) (*.f64 n (*.f64 n i))) (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/4 (pow.f64 i 4) (*.f64 1/6 (pow.f64 i 5))))) -100))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.1b | (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) |
| 6.3b | (pow.f64 (+.f64 1 (/.f64 i n)) n) | |
| ✓ | 13.8b | (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) |
Compiled 49 to 25 computations (49% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | n | @ | 0 | (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) |
| 1.0ms | i | @ | -inf | (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) |
| 1.0ms | i | @ | inf | (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) |
| 1.0ms | n | @ | -inf | (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) |
| 1.0ms | n | @ | inf | (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) |
| 1× | batch-egg-rewrite |
| 574× | log-prod_binary64 |
| 320× | pow2_binary64 |
| 316× | prod-diff_binary64 |
| 244× | fma-def_binary64 |
| 238× | pow-unpow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 34 |
| 1 | 259 | 34 |
| 2 | 3285 | 34 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) |
(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n i)) (*.f64 -100 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n))) (*.f64 (/.f64 n i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 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(pow.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 n i) 3) (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3) (pow.f64 (/.f64 n i) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 n i) (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (*.f64 (/.f64 n i) -100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) (/.f64 n i) (*.f64 -100 (/.f64 n i))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -100 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 1) -100)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2) (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 3) -1000000) (+.f64 (pow.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) (-.f64 10000 (*.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) 2) 10000) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) 1)))))) |
| 1× | egg-herbie |
| 784× | associate-/l*_binary64 |
| 584× | associate-/r*_binary64 |
| 370× | fma-def_binary64 |
| 331× | associate-*l/_binary64 |
| 298× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 304 | 3043 |
| 1 | 1041 | 2849 |
| 2 | 3971 | 2649 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.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))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.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))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))) |
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)))) |
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.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 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n 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 (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 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 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 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 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 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (*.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 (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 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (+.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 (+.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 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 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 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 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 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 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 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4)))))) |
(*.f64 100 i) |
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (+.f64 (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n))))))))) |
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100) |
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) 100) |
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) 100) |
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3)))))) 100) |
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))))) 100) |
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))) |
(-.f64 (*.f64 100 (exp.f64 i)) 100) |
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100) |
(-.f64 (*.f64 100 (exp.f64 i)) 100) |
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100) |
| Outputs |
|---|
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) |
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (fma.f64 -1 (log.f64 n) (log.f64 i)))) i) |
(*.f64 100 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i)) |
(*.f64 100 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))) |
(*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))))) |
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))))) |
(*.f64 100 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i))))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.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))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))) |
(fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 4) (/.f64 i (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3)))))) |
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))))))) |
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n))) (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i)))))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.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))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))) |
(fma.f64 100 (/.f64 (pow.f64 n 5) (/.f64 i (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i) (fma.f64 1/24 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i)))))))) (fma.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 4) (/.f64 i (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))))))) |
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 5) i) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i)))))))) |
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i))) (*.f64 (/.f64 (pow.f64 n 4) i) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))) (+.f64 (*.f64 (/.f64 (pow.f64 n 5) i) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))))) |
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) |
(/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100))) |
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100)))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (/.f64 (*.f64 (*.f64 n n) i) (exp.f64 i))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100)))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))))) |
(+.f64 (*.f64 100 (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)))) (fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))) |
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) |
(/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100))) |
(*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100)))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (/.f64 n (/.f64 i (fma.f64 100 (exp.f64 i) -100))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i)) (*.f64 (/.f64 n i) (fma.f64 100 (exp.f64 i) -100)))) |
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(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))) |
(*.f64 100 (+.f64 (*.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i))) (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i))))) |
(*.f64 100 (fma.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (*.f64 n (-.f64 (log.f64 i) (log.f64 n))))) |
(*.f64 100 (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) n)))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))) |
(fma.f64 100 (*.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i)))) (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))))) |
(*.f64 100 (+.f64 (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (fma.f64 (pow.f64 n 3) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))))) |
(*.f64 100 (+.f64 (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) n))) (*.f64 (pow.f64 n 3) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i)))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))) |
(fma.f64 100 (*.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i))) (fma.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i) (fma.f64 1/24 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i)))) (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i))))))) |
(fma.f64 100 (*.f64 n (*.f64 n (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)))) (*.f64 100 (+.f64 (fma.f64 (pow.f64 n 3) (+.f64 (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (/.f64 -1/2 (*.f64 i i))) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) (*.f64 (pow.f64 n 4) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i)))))))))) |
(*.f64 100 (+.f64 (+.f64 (*.f64 (pow.f64 n 4) (+.f64 (/.f64 1/3 (pow.f64 i 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (fma.f64 1/24 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (/.f64 1/2 (*.f64 i i))))))) (*.f64 (pow.f64 n 3) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 (/.f64 -1/2 i) i))))) (*.f64 n (+.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) n))))) |
(-.f64 (*.f64 100 (exp.f64 i)) 100) |
(fma.f64 100 (exp.f64 i) -100) |
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100) |
(+.f64 (*.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i)))) (fma.f64 100 (exp.f64 i) -100)) |
(fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100)) |
(fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100)) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100) |
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (exp.f64 i)))) -100) |
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100))) |
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100) |
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/48 (pow.f64 i 6) (fma.f64 -1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) -1/4))) (/.f64 (pow.f64 n 3) (exp.f64 i))) (exp.f64 i))))) -100) |
(+.f64 -100 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 100 (+.f64 (exp.f64 i) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (/.f64 (pow.f64 n 3) (exp.f64 i)))) (*.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)))))) |
(+.f64 (fma.f64 100 (*.f64 (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (pow.f64 n 3)) 1) (exp.f64 i)) (*.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) -100)) |
(-.f64 (*.f64 100 (exp.f64 i)) 100) |
(fma.f64 100 (exp.f64 i) -100) |
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100) |
(+.f64 (*.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i)))) (fma.f64 100 (exp.f64 i) -100)) |
(fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100)) |
(fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100)) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100) |
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (exp.f64 i)))) -100) |
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100))) |
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100) |
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (fma.f64 -100 (/.f64 (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (/.f64 (pow.f64 n 3) (exp.f64 i))) (*.f64 100 (exp.f64 i))))) -100) |
(+.f64 -100 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) (*.f64 -100 (/.f64 (exp.f64 i) (/.f64 (pow.f64 n 3) (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4)))))))))) |
(+.f64 (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (/.f64 (/.f64 (pow.f64 n 3) (exp.f64 i)) -100)))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) -100)) |
Compiled 29258 to 15410 computations (47.3% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 697 | 21 | 718 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 698 | 22 | 720 |
| Status | Error | Program |
|---|---|---|
| 37.3b | (*.f64 (/.f64 n i) (*.f64 100 i)) | |
| 16.5b | (/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) | |
| 31.3b | (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) | |
| 37.7b | (pow.f64 (*.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))) 10) 2) | |
| 35.2b | (*.f64 100 (/.f64 i (/.f64 i n))) | |
| 27.3b | (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) | |
| 16.8b | (/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n)) | |
| 18.3b | (*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) | |
| ▶ | 16.2b | (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) |
| ✓ | 48.0b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 48.0b | (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n)) | |
| 51.5b | (*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) | |
| 36.3b | (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) 3)) | |
| 24.4b | (/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n))) | |
| 28.8b | (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) | |
| ▶ | 27.7b | (*.f64 n 100) |
| ▶ | 48.2b | (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
| 46.5b | (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) | |
| ▶ | 18.6b | (+.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))) |
| ▶ | 28.5b | (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
| 28.5b | (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) | |
| 16.7b | (*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n)) |
Compiled 639 to 449 computations (29.7% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) |
| ✓ | 5.3b | (log1p.f64 (/.f64 i n)) |
| ✓ | 11.9b | (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) |
| ✓ | 12.0b | (*.f64 n (log1p.f64 (/.f64 i n))) |
Compiled 47 to 12 computations (74.5% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | n | @ | -inf | (*.f64 n (log1p.f64 (/.f64 i n))) |
| 2.0ms | n | @ | 0 | (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) |
| 1.0ms | n | @ | 0 | (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) |
| 1.0ms | i | @ | inf | (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) |
| 1.0ms | i | @ | -inf | (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) |
| 1× | batch-egg-rewrite |
| 604× | log-prod_binary64 |
| 334× | pow-prod-down_binary64 |
| 271× | pow2_binary64 |
| 216× | pow-unpow_binary64 |
| 215× | prod-diff_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 49 |
| 1 | 212 | 49 |
| 2 | 2905 | 49 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 n (log1p.f64 (/.f64 i n))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) |
(log1p.f64 (/.f64 i n)) |
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10000 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (pow.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) 1) 1)))))) |
| 1× | egg-herbie |
| 745× | associate-/r*_binary64 |
| 517× | associate-*l/_binary64 |
| 509× | fma-def_binary64 |
| 283× | associate-/r/_binary64 |
| 260× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 370 | 4211 |
| 1 | 1249 | 3933 |
| 2 | 4960 | 3738 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (/.f64 (pow.f64 n 2) i)) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))) |
i |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))) |
i |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))) |
i |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (/.f64 (pow.f64 n 2) i)) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (/.f64 (pow.f64 n 2) i)) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))) |
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(*.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))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4)))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))) |
(/.f64 i n) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (/.f64 i n)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))) |
(+.f64 (/.f64 n i) (+.f64 (log.f64 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 i))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (/.f64 n i) (+.f64 (log.f64 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 i)))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (/.f64 n i) (+.f64 (log.f64 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 i))))))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (+.f64 (log.f64 (neg.f64 (/.f64 1 n))) (/.f64 n i))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (+.f64 (log.f64 (neg.f64 (/.f64 1 n))) (/.f64 n i)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (+.f64 (log.f64 (neg.f64 (/.f64 1 n))) (/.f64 n i))))) |
(+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) |
(+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (/.f64 n i) (log.f64 i))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (/.f64 n i) (log.f64 i)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 3) (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 n 2) (pow.f64 i 2))) (+.f64 (*.f64 -1 (log.f64 n)) (+.f64 (/.f64 n i) (log.f64 i))))) |
(/.f64 i n) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (/.f64 i n)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n)))) |
(/.f64 i n) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (/.f64 i n)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 3))) (/.f64 i n)))) |
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))) (pow.f64 n 3))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))) (pow.f64 n 3))) (+.f64 (*.f64 100 (*.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))) (pow.f64 n 4))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (-.f64 (exp.f64 i) 1))))) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (-.f64 (exp.f64 i) 1)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (-.f64 (exp.f64 i) 1)) (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (pow.f64 n 3)))))) |
(*.f64 100 i) |
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (+.f64 (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n))))))))) |
(*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) |
(+.f64 (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) |
(+.f64 (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) |
(+.f64 (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3)))))) |
(*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))))) |
| Outputs |
|---|
(*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) |
(*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i))) |
(*.f64 n (-.f64 (log.f64 i) (log.f64 n))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (/.f64 (pow.f64 n 2) i)) |
(fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i)) |
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (/.f64 n (/.f64 i n))) |
(+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2))))) |
(+.f64 (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i)) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)))) |
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3))) (+.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) (+.f64 (/.f64 (pow.f64 n 2) i) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (pow.f64 i 2)))))) |
(fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (+.f64 (fma.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)) (/.f64 (*.f64 n n) i)) (*.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i))))) |
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) (fma.f64 1/3 (/.f64 (pow.f64 n 4) (pow.f64 i 3)) (fma.f64 -1/2 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n (/.f64 i n))))) |
i |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) i) |
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) i) |
(fma.f64 -1/2 (*.f64 (/.f64 i n) i) i) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i)) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i)) |
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) i)) |
(fma.f64 -1/2 (*.f64 (/.f64 i n) i) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) i)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i) (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))) |
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) (fma.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)) i))) |
(fma.f64 -1/2 (*.f64 (/.f64 i n) i) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) (fma.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)) i))) |
i |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) i) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) i) |
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) i) |
(fma.f64 -1/2 (*.f64 (/.f64 i n) i) i) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) i)) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i)) |
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) i)) |
(fma.f64 -1/2 (*.f64 (/.f64 i n) i) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) i)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 i 2) n)) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 i 3) (pow.f64 n 2))) (+.f64 i (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 i i) n) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 i 3) (*.f64 n n)) i) (*.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3))))) |
(fma.f64 -1/2 (/.f64 i (/.f64 n i)) (fma.f64 1/3 (/.f64 (/.f64 (pow.f64 i 3) n) n) (fma.f64 -1/4 (/.f64 (pow.f64 i 4) (pow.f64 n 3)) i))) |
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i |
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(*.f64 100 (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))) |
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) i) (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) |
(*.f64 100 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 n (/.f64 i n)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))) |
(*.f64 100 (+.f64 (*.f64 (+.f64 (/.f64 n (/.f64 i n)) 1) (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n)))) -1)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)))) |
(fma.f64 100 (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) i) (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 (pow.f64 n 4) 1/2)) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))))) |
(*.f64 100 (+.f64 (*.f64 (/.f64 n (/.f64 i n)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (fma.f64 (pow.f64 n 4) 1/2 (*.f64 -1/2 (pow.f64 n 3))) i))))) |
(*.f64 100 (+.f64 (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1) (*.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (+.f64 (/.f64 n (/.f64 i n)) (/.f64 (fma.f64 (pow.f64 n 4) 1/2 (*.f64 -1/2 (pow.f64 n 3))) (*.f64 i i)))))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1))))) |
(fma.f64 100 (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) i) (fma.f64 -100 (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (/.f64 (pow.f64 i 3) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))))) (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 (pow.f64 n 4) 1/2)) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))) |
(fma.f64 100 (*.f64 (/.f64 n (/.f64 i n)) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (fma.f64 100 (+.f64 (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (fma.f64 (pow.f64 n 4) 1/2 (*.f64 -1/2 (pow.f64 n 3))) i))) (*.f64 -100 (/.f64 (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))) (/.f64 (pow.f64 i 3) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))))) |
(+.f64 (*.f64 100 (+.f64 (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1) (*.f64 (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))) (+.f64 (/.f64 n (/.f64 i n)) (/.f64 (fma.f64 (pow.f64 n 4) 1/2 (*.f64 -1/2 (pow.f64 n 3))) (*.f64 i i)))))) (*.f64 -100 (/.f64 (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))) (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (/.f64 -1 n) n) (pow.f64 (/.f64 -1 i) (neg.f64 n))))))) |
Compiled 7 to 5 computations (28.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
| ✓ | 0.1b | (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) |
| ✓ | 0.1b | (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
| ✓ | 5.2b | (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
Compiled 75 to 57 computations (24% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | i | @ | -inf | (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) |
| 1.0ms | i | @ | 0 | (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
| 1.0ms | n | @ | 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 | n | @ | inf | (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) |
| 1× | batch-egg-rewrite |
| 781× | log-prod_binary64 |
| 560× | fma-def_binary64 |
| 271× | pow1/3_binary64 |
| 268× | expm1-udef_binary64 |
| 268× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 58 |
| 1 | 314 | 56 |
| 2 | 4157 | 56 |
| 1× | node limit |
| Inputs |
|---|
(*.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 i (-.f64 1/2 (*.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)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 n i)) (*.f64 (/.f64 -1/2 n) (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 n i) 1/2) (*.f64 (*.f64 n i) (/.f64 -1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 i) (+.f64 1/2 (/.f64 -1/2 n))) n)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 i) (+.f64 1/2 (/.f64 -1/2 n))) n)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 i) (+.f64 1/2 (/.f64 -1/2 n))) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 i) (+.f64 1/2 (/.f64 -1/2 n))) n))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 i) (+.f64 1/2 (/.f64 -1/2 n))) n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n i) (-.f64 1/8 (/.f64 1/8 (pow.f64 n 3)))) (+.f64 1/4 (fma.f64 (pow.f64 n -2) 1/4 (/.f64 1/4 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n i) (-.f64 1/4 (*.f64 (pow.f64 n -2) 1/4))) (+.f64 1/2 (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 n 3) (pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 3) (pow.f64 n 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 i) (+.f64 1/2 (/.f64 -1/2 n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 n i) (*.f64 (/.f64 -1/2 n) (*.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n i) 1/2 (*.f64 (*.f64 n i) (/.f64 -1/2 n))))))) |
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 n 100)) 2) (*.f64 (cbrt.f64 (*.f64 n 100)) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i))) 2) (*.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i))) 100) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) 100) (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 10 (sqrt.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)))) (*.f64 10 (sqrt.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 10 (sqrt.f64 n)) (*.f64 10 (sqrt.f64 n)) (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 10 (sqrt.f64 n)) (*.f64 (*.f64 10 (sqrt.f64 n)) (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i))) (*.f64 (sqrt.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i))) 100) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n i) (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) 100) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) n (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i))) 2)) (cbrt.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (sqrt.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)))) (sqrt.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (*.f64 n i)) (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 n 100) i) (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 n 100) (+.f64 1/2 (/.f64 -1/2 n))) i (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 n 100) (pow.f64 (cbrt.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) 2)) (cbrt.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 n 100) (sqrt.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))))) (sqrt.f64 (*.f64 i (+.f64 1/2 (/.f64 -1/2 n)))) (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n) (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 100 (sqrt.f64 n)) (sqrt.f64 n) (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100)))))) |
| 1× | egg-herbie |
| 849× | unsub-neg_binary64 |
| 619× | times-frac_binary64 |
| 490× | associate-/l*_binary64 |
| 380× | distribute-rgt-in_binary64 |
| 284× | distribute-rgt-neg-out_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 608 |
| 1 | 97 | 554 |
| 2 | 225 | 505 |
| 3 | 577 | 505 |
| 4 | 1639 | 505 |
| 5 | 4040 | 505 |
| 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 -50 i) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(*.f64 50 (*.f64 n i)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(*.f64 50 (*.f64 n i)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 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 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i)) |
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) |
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i)) |
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i)) |
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i)) |
(*.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))))))) |
| Outputs |
|---|
(*.f64 -1/2 i) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n))) |
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2)) |
(*.f64 i (fma.f64 1/2 n -1/2)) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n))) |
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2)) |
(*.f64 i (fma.f64 1/2 n -1/2)) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n))) |
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2)) |
(*.f64 i (fma.f64 1/2 n -1/2)) |
(*.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))) |
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n))) |
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2)) |
(*.f64 i (fma.f64 1/2 n -1/2)) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n))) |
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2)) |
(*.f64 i (fma.f64 1/2 n -1/2)) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n))) |
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2)) |
(*.f64 i (fma.f64 1/2 n -1/2)) |
(*.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))) |
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n))) |
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2)) |
(*.f64 i (fma.f64 1/2 n -1/2)) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n))) |
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2)) |
(*.f64 i (fma.f64 1/2 n -1/2)) |
(+.f64 (*.f64 -1/2 i) (*.f64 1/2 (*.f64 n i))) |
(fma.f64 -1/2 i (*.f64 1/2 (*.f64 i n))) |
(*.f64 i (+.f64 (*.f64 1/2 n) -1/2)) |
(*.f64 i (fma.f64 1/2 n -1/2)) |
(*.f64 -50 i) |
(*.f64 i -50) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(fma.f64 50 (*.f64 i n) (*.f64 i -50)) |
(*.f64 i (+.f64 -50 (*.f64 n 50))) |
(*.f64 i (fma.f64 n 50 -50)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(fma.f64 50 (*.f64 i n) (*.f64 i -50)) |
(*.f64 i (+.f64 -50 (*.f64 n 50))) |
(*.f64 i (fma.f64 n 50 -50)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(fma.f64 50 (*.f64 i n) (*.f64 i -50)) |
(*.f64 i (+.f64 -50 (*.f64 n 50))) |
(*.f64 i (fma.f64 n 50 -50)) |
(*.f64 50 (*.f64 n i)) |
(*.f64 (*.f64 50 n) i) |
(*.f64 n (*.f64 i 50)) |
(*.f64 (*.f64 i n) 50) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(fma.f64 50 (*.f64 i n) (*.f64 i -50)) |
(*.f64 i (+.f64 -50 (*.f64 n 50))) |
(*.f64 i (fma.f64 n 50 -50)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(fma.f64 50 (*.f64 i n) (*.f64 i -50)) |
(*.f64 i (+.f64 -50 (*.f64 n 50))) |
(*.f64 i (fma.f64 n 50 -50)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(fma.f64 50 (*.f64 i n) (*.f64 i -50)) |
(*.f64 i (+.f64 -50 (*.f64 n 50))) |
(*.f64 i (fma.f64 n 50 -50)) |
(*.f64 50 (*.f64 n i)) |
(*.f64 (*.f64 50 n) i) |
(*.f64 n (*.f64 i 50)) |
(*.f64 (*.f64 i n) 50) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(fma.f64 50 (*.f64 i n) (*.f64 i -50)) |
(*.f64 i (+.f64 -50 (*.f64 n 50))) |
(*.f64 i (fma.f64 n 50 -50)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(fma.f64 50 (*.f64 i n) (*.f64 i -50)) |
(*.f64 i (+.f64 -50 (*.f64 n 50))) |
(*.f64 i (fma.f64 n 50 -50)) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 -50 i)) |
(fma.f64 50 (*.f64 i n) (*.f64 i -50)) |
(*.f64 i (+.f64 -50 (*.f64 n 50))) |
(*.f64 i (fma.f64 n 50 -50)) |
(*.f64 -1/2 (/.f64 i n)) |
(*.f64 i (/.f64 -1/2 n)) |
(/.f64 i (*.f64 n -2)) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(*.f64 1/2 i) |
(*.f64 i 1/2) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(*.f64 1/2 i) |
(*.f64 i 1/2) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(+.f64 (*.f64 1/2 i) (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 1/2 i (*.f64 -1/2 (/.f64 i n))) |
(fma.f64 -1/2 (/.f64 i n) (*.f64 i 1/2)) |
(*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) |
(*.f64 1/2 (-.f64 i (/.f64 i n))) |
(*.f64 -50 i) |
(*.f64 i -50) |
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i)) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50)) |
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50)) |
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n)) |
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i)) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50)) |
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50)) |
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n)) |
(+.f64 (*.f64 n (+.f64 100 (*.f64 50 i))) (*.f64 -50 i)) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50)) |
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50)) |
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(*.f64 n (+.f64 100 (*.f64 i 50))) |
(*.f64 n (fma.f64 i 50 100)) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50)) |
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50)) |
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n)) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50)) |
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50)) |
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n)) |
(+.f64 (*.f64 -50 i) (*.f64 n (+.f64 100 (*.f64 50 i)))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50)) |
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50)) |
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n)) |
(*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) |
(*.f64 n (+.f64 100 (*.f64 i 50))) |
(*.f64 n (fma.f64 i 50 100)) |
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i)) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50)) |
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50)) |
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n)) |
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i)) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50)) |
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50)) |
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n)) |
(+.f64 (*.f64 -1 (*.f64 n (-.f64 (*.f64 -50 i) 100))) (*.f64 -50 i)) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50)) |
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50)) |
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n)) |
(*.f64 100 n) |
(*.f64 n 100) |
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(fma.f64 50 (*.f64 i n) (*.f64 i -50)) |
(*.f64 i (+.f64 -50 (*.f64 n 50))) |
(*.f64 i (fma.f64 n 50 -50)) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50)) |
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50)) |
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n)) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50)) |
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50)) |
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n)) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50)) |
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50)) |
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n)) |
(*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(fma.f64 50 (*.f64 i n) (*.f64 i -50)) |
(*.f64 i (+.f64 -50 (*.f64 n 50))) |
(*.f64 i (fma.f64 n 50 -50)) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50)) |
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50)) |
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n)) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50)) |
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50)) |
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n)) |
(+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(fma.f64 n (+.f64 100 (*.f64 i 50)) (*.f64 i -50)) |
(fma.f64 i -50 (*.f64 n (fma.f64 i 50 100))) |
(fma.f64 n (fma.f64 i 50 100) (*.f64 i -50)) |
(*.f64 100 (fma.f64 i (fma.f64 1/2 n -1/2) n)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.2b | (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100) |
| 6.3b | (pow.f64 (+.f64 1 (/.f64 i n)) n) | |
| ✓ | 13.8b | (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
Compiled 60 to 32 computations (46.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | n | @ | 0 | (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
| 1.0ms | i | @ | -inf | (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
| 1.0ms | i | @ | inf | (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
| 0.0ms | n | @ | -inf | (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
| 0.0ms | i | @ | 0 | (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
| 1× | batch-egg-rewrite |
| 707× | prod-diff_binary64 |
| 690× | log-prod_binary64 |
| 370× | fma-def_binary64 |
| 250× | expm1-udef_binary64 |
| 250× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 34 |
| 1 | 295 | 34 |
| 2 | 4035 | 34 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
(+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 784× | associate-/l*_binary64 |
| 584× | associate-/r*_binary64 |
| 370× | fma-def_binary64 |
| 331× | associate-*l/_binary64 |
| 298× | associate-*r/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 304 | 3043 |
| 1 | 1041 | 2849 |
| 2 | 3971 | 2649 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.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))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 4) (-.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))))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))))) |
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)))) |
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.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 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n 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 (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 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 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 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 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 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (*.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 (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 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100)) i) (+.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 (+.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 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 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 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 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 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 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 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100)) i) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4)))))) |
(*.f64 100 i) |
(+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))))) (+.f64 (*.f64 100 i) (+.f64 (*.f64 100 (*.f64 (pow.f64 i 2) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))) (*.f64 100 (*.f64 (pow.f64 i 4) (-.f64 (+.f64 1/24 (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n))))))))) |
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 100) |
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) 100) |
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) 100) |
(-.f64 (+.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)) (*.f64 100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4))))) (pow.f64 i 3)))))) 100) |
(-.f64 (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))))) 100) |
(*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i)) (+.f64 (*.f64 1/24 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 2))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2)))))) (*.f64 100 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))))) |
(-.f64 (*.f64 100 (exp.f64 i)) 100) |
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100) |
(-.f64 (*.f64 100 (exp.f64 i)) 100) |
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100) |
| Outputs |
|---|
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) |
(/.f64 (*.f64 100 (*.f64 (*.f64 n n) (fma.f64 -1 (log.f64 n) (log.f64 i)))) i) |
(*.f64 100 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i)) |
(*.f64 100 (*.f64 (/.f64 n (/.f64 i n)) (-.f64 (log.f64 i) (log.f64 n)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 3)) i))) |
(*.f64 100 (+.f64 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))) (/.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))))) |
(*.f64 100 (+.f64 (/.f64 (*.f64 (*.f64 n n) (-.f64 (log.f64 i) (log.f64 n))) i) (/.f64 (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (/.f64 i (pow.f64 n 3))))) |
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(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (exp.f64 i)))) -100) |
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100))) |
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100) |
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (+.f64 (/.f64 (fma.f64 -1/48 (pow.f64 i 6) (fma.f64 -1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) -1/4))) (/.f64 (pow.f64 n 3) (exp.f64 i))) (exp.f64 i))))) -100) |
(+.f64 -100 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 100 (+.f64 (exp.f64 i) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (/.f64 (pow.f64 n 3) (exp.f64 i)))) (*.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)))))) |
(+.f64 (fma.f64 100 (*.f64 (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (pow.f64 n 3)) 1) (exp.f64 i)) (*.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) -100)) |
(-.f64 (*.f64 100 (exp.f64 i)) 100) |
(fma.f64 100 (exp.f64 i) -100) |
(-.f64 (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i))) 100) |
(+.f64 (*.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i)))) (fma.f64 100 (exp.f64 i) -100)) |
(fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100)) |
(fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100)) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (*.f64 100 (exp.f64 i)))) 100) |
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (*.f64 100 (exp.f64 i)))) -100) |
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) -100))) |
(fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) -100))) |
(-.f64 (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2))) (+.f64 (*.f64 -50 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (*.f64 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (*.f64 100 (exp.f64 i))))) 100) |
(+.f64 (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) (/.f64 (*.f64 n n) (exp.f64 i))) (fma.f64 -50 (/.f64 (*.f64 i i) (/.f64 n (exp.f64 i))) (fma.f64 -100 (/.f64 (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (/.f64 (pow.f64 n 3) (exp.f64 i))) (*.f64 100 (exp.f64 i))))) -100) |
(+.f64 -100 (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) n)) (fma.f64 -50 (*.f64 (/.f64 (*.f64 i i) n) (exp.f64 i)) (fma.f64 100 (exp.f64 i) (*.f64 -100 (/.f64 (exp.f64 i) (/.f64 (pow.f64 n 3) (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4)))))))))) |
(+.f64 (fma.f64 -50 (*.f64 (/.f64 (exp.f64 i) n) (*.f64 i i)) (fma.f64 100 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) 1/4))) (/.f64 (/.f64 (pow.f64 n 3) (exp.f64 i)) -100)))) (fma.f64 100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4)))) -100)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 n i) 100) |
| 5.3b | (log1p.f64 (/.f64 i n)) | |
| 12.0b | (*.f64 n (log1p.f64 (/.f64 i n))) | |
| ✓ | 13.4b | (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) |
Compiled 62 to 19 computations (69.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | n | @ | 0 | (*.f64 (/.f64 n i) 100) |
| 1.0ms | n | @ | inf | (*.f64 (/.f64 n i) 100) |
| 1.0ms | n | @ | 0 | (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) |
| 1.0ms | i | @ | inf | (*.f64 (/.f64 n i) 100) |
| 1.0ms | i | @ | 0 | (*.f64 (/.f64 n i) 100) |
| 1× | batch-egg-rewrite |
| 598× | log-prod_binary64 |
| 370× | pow-prod-down_binary64 |
| 286× | pow2_binary64 |
| 245× | pow-unpow_binary64 |
| 204× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 27 |
| 1 | 228 | 27 |
| 2 | 2860 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) |
(*.f64 (/.f64 n i) 100) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n (/.f64 i 100))) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 n (/.f64 i 100))) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n (/.f64 i 100))) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 n (/.f64 i 100))) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 n 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 n 100)) i)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 2) 10000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i)) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 n (/.f64 i 100))) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n (/.f64 i 100)))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 n (/.f64 i 100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 n (/.f64 i 100)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 n (/.f64 i 100))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 n (/.f64 i 100))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 n (/.f64 i 100))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 n (/.f64 i 100)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 i 100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n 100) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 n 100)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n 100) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n 100) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 n 100) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) 100) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (neg.f64 n)) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (/.f64 i 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (/.f64 i 100)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (/.f64 i 100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 n (/.f64 i 100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 n (/.f64 i 100))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (*.f64 n 100)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 n (/.f64 i 100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 n (/.f64 i 100))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 n (/.f64 i 100)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 n (/.f64 i 100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 n (/.f64 i 100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 n (/.f64 i 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 n (/.f64 i 100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 n (/.f64 i 100))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 n (/.f64 i 100)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 n (/.f64 i 100)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 n (/.f64 i 100)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 n (/.f64 i 100))) 1) 1)))))) |
| 1× | egg-herbie |
| 801× | times-frac_binary64 |
| 707× | distribute-rgt-in_binary64 |
| 705× | distribute-lft-in_binary64 |
| 595× | associate-/l*_binary64 |
| 246× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 1764 |
| 1 | 726 | 1651 |
| 2 | 2797 | 1563 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(*.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))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4)))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
| Outputs |
|---|
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) |
(*.f64 100 (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))) |
(*.f64 100 (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))) |
(*.f64 100 (*.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (*.f64 n n))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))) |
(*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))))) |
(*.f64 100 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n))))) |
(*.f64 100 (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (*.f64 n n)))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))) |
(fma.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (+.f64 (/.f64 (log.f64 i) (*.f64 i i)) (*.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i)))) (/.f64 1/2 (pow.f64 i 3)))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i))))))) |
(*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))) (fma.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n)))))) |
(*.f64 100 (+.f64 (fma.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3)))) (*.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (*.f64 n n))) (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))) |
(fma.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) i)))) (fma.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (+.f64 (/.f64 (log.f64 i) (*.f64 i i)) (*.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i)))) (/.f64 1/2 (pow.f64 i 3)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 4) i) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) (pow.f64 i 3)) (+.f64 (/.f64 1/2 (pow.f64 i 3)) (/.f64 1/3 (pow.f64 i 4))))))) (/.f64 (*.f64 n n) (/.f64 i (fma.f64 -1 (log.f64 n) (log.f64 i)))))))) |
(fma.f64 100 (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3)))) (fma.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (+.f64 (/.f64 1/3 (pow.f64 i 4)) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (/.f64 1/2 (pow.f64 i 3)))))) (*.f64 (/.f64 (*.f64 n n) i) (-.f64 (log.f64 i) (log.f64 n))))))) |
(*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))) (+.f64 (*.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3))))) (fma.f64 (pow.f64 n 5) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (*.f64 i i)) (fma.f64 1/24 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 4) i) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i 3)) (+.f64 (/.f64 1/2 (pow.f64 i 3)) (/.f64 1/3 (pow.f64 i 4)))))) (*.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (*.f64 n n)))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))) |
(fma.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)) (*.f64 i (*.f64 (exp.f64 i) -50))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)) (/.f64 n (/.f64 i (expm1.f64 i)))))) |
(fma.f64 100 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (exp.f64 i) i)) (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) i)) (/.f64 n (/.f64 i (expm1.f64 i))))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (exp.f64 i) i))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 (pow.f64 i 4) -1/4 (*.f64 -1/48 (pow.f64 i 6)))) (*.f64 n n)) (/.f64 (fma.f64 (pow.f64 i 3) 1/3 (*.f64 (pow.f64 i 4) 1/8)) n)))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i)))) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 i))))) |
(fma.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i)) (*.f64 i (*.f64 (exp.f64 i) -50))) |
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(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (fma.f64 100 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (fma.f64 -100 (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6))))))) (*.f64 100 (/.f64 n (/.f64 i (expm1.f64 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))))) |
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i)) (fma.f64 100 (/.f64 n (/.f64 (/.f64 (pow.f64 i 3) (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4)))) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (fma.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 -100 (/.f64 n (/.f64 (/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))))))) |
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (/.f64 i (pow.f64 (/.f64 -1 n) n))) (+.f64 (/.f64 (pow.f64 n 3) i) (*.f64 (/.f64 n i) (/.f64 (fma.f64 (pow.f64 n 3) -1/2 (*.f64 1/2 (pow.f64 n 4))) i)))) (*.f64 (/.f64 n i) (fma.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n) -1)))) (*.f64 (/.f64 -100 (pow.f64 i 4)) (*.f64 (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 -1/6 (pow.f64 n 6)))) (*.f64 n (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)))))) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
Compiled 26632 to 15967 computations (40% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 900 | 13 | 913 |
| Fresh | 9 | 7 | 16 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 912 | 23 | 935 |
| Status | Error | Program |
|---|---|---|
| 37.3b | (*.f64 (/.f64 n i) (*.f64 100 i)) | |
| ▶ | 16.5b | (/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) |
| 51.5b | (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) | |
| 28.4b | (fma.f64 n 100 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100)) | |
| ▶ | 35.2b | (*.f64 100 (/.f64 i (/.f64 i n))) |
| 16.8b | (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (/.f64 100 (/.f64 1 n))) | |
| 28.3b | (*.f64 n (+.f64 100 (*.f64 50 i))) | |
| 16.8b | (/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n)) | |
| 31.3b | (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) | |
| 18.3b | (*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) | |
| ▶ | 35.2b | (/.f64 (*.f64 i 100) (/.f64 i n)) |
| 16.7b | (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n) | |
| ▶ | 48.1b | (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
| 16.5b | (pow.f64 (*.f64 1/100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) -1) | |
| 28.8b | (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) | |
| ✓ | 27.7b | (*.f64 n 100) |
| ✓ | 48.2b | (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
| 46.5b | (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) | |
| ▶ | 27.4b | (/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) |
| 28.0b | (+.f64 (*.f64 i -50) (*.f64 100 n)) | |
| 26.7b | (/.f64 (*.f64 (expm1.f64 (*.f64 n (/.f64 i n))) 100) (/.f64 i n)) | |
| 18.3b | (*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) | |
| ✓ | 48.0b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
Compiled 605 to 417 computations (31.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) |
| 5.3b | (log1p.f64 (/.f64 i n)) | |
| ✓ | 12.0b | (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) |
| 12.0b | (*.f64 n (log1p.f64 (/.f64 i n))) |
Compiled 63 to 18 computations (71.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | i | @ | -inf | (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) |
| 3.0ms | i | @ | inf | (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) |
| 3.0ms | n | @ | 0 | (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) |
| 2.0ms | n | @ | inf | (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) |
| 2.0ms | n | @ | -inf | (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) |
| 1× | batch-egg-rewrite |
| 679× | log-prod_binary64 |
| 310× | pow2_binary64 |
| 243× | pow-unpow_binary64 |
| 219× | pow1/3_binary64 |
| 215× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 43 |
| 1 | 253 | 40 |
| 2 | 3442 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) |
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 477× | fma-def_binary64 |
| 322× | associate-*r*_binary64 |
| 310× | *-commutative_binary64 |
| 310× | times-frac_binary64 |
| 276× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 437 | 5099 |
| 1 | 1523 | 4754 |
| 2 | 6486 | 4690 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/100 n) |
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(+.f64 (*.f64 -1/100 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 i 5) (pow.f64 (exp.f64 i) 2)) (pow.f64 (-.f64 (exp.f64 i) 1) 3))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (*.f64 i (exp.f64 i))) (pow.f64 (-.f64 (exp.f64 i) 1) 2))) (*.f64 (pow.f64 i 2) (exp.f64 i))) (-.f64 (exp.f64 i) 1))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 i 3) (*.f64 (pow.f64 (exp.f64 i) 2) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))))) (pow.f64 (-.f64 (exp.f64 i) 1) 3))) (/.f64 (*.f64 i (*.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 (-.f64 (exp.f64 i) 1) 2)))) (pow.f64 n 4))) (+.f64 (*.f64 1/200 (/.f64 (*.f64 (pow.f64 i 3) (exp.f64 i)) (*.f64 (pow.f64 n 2) (pow.f64 (-.f64 (exp.f64 i) 1) 2)))) (+.f64 (*.f64 1/100 (/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))) (*.f64 -1/100 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 i 5) (pow.f64 (exp.f64 i) 2)) (pow.f64 (-.f64 (exp.f64 i) 1) 3))) (/.f64 (*.f64 i (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))))) (pow.f64 (-.f64 (exp.f64 i) 1) 2))) (pow.f64 n 3)))))) |
(*.f64 1/100 (/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))) |
(+.f64 (*.f64 1/200 (/.f64 (*.f64 (pow.f64 i 3) (exp.f64 i)) (*.f64 (pow.f64 n 2) (pow.f64 (-.f64 (exp.f64 i) 1) 2)))) (*.f64 1/100 (/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1))))) |
(+.f64 (*.f64 1/200 (/.f64 (*.f64 (pow.f64 i 3) (exp.f64 i)) (*.f64 (pow.f64 n 2) (pow.f64 (-.f64 (exp.f64 i) 1) 2)))) (+.f64 (*.f64 1/100 (/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))) (*.f64 -1/100 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 i 5) (pow.f64 (exp.f64 i) 2)) (pow.f64 (-.f64 (exp.f64 i) 1) 3))) (/.f64 (*.f64 i (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))))) (pow.f64 (-.f64 (exp.f64 i) 1) 2))) (pow.f64 n 3))))) |
(+.f64 (*.f64 1/200 (/.f64 (*.f64 (pow.f64 i 3) (exp.f64 i)) (*.f64 (pow.f64 n 2) (pow.f64 (-.f64 (exp.f64 i) 1) 2)))) (+.f64 (*.f64 1/100 (/.f64 i (*.f64 n (-.f64 (exp.f64 i) 1)))) (+.f64 (*.f64 1/100 (/.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 i 5) (pow.f64 (exp.f64 i) 2)) (pow.f64 (-.f64 (exp.f64 i) 1) 3))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (*.f64 i (exp.f64 i))) (pow.f64 (-.f64 (exp.f64 i) 1) 2))) (*.f64 (pow.f64 i 2) (exp.f64 i))) (-.f64 (exp.f64 i) 1))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 3) (*.f64 (pow.f64 (exp.f64 i) 2) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))))) (pow.f64 (-.f64 (exp.f64 i) 1) 3))) (/.f64 (*.f64 i (*.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 (-.f64 (exp.f64 i) 1) 2)))) (pow.f64 n 4))) (*.f64 -1/100 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (pow.f64 i 5) (pow.f64 (exp.f64 i) 2)) (pow.f64 (-.f64 (exp.f64 i) 1) 3))) (/.f64 (*.f64 i (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4))))) (pow.f64 (-.f64 (exp.f64 i) 1) 2))) (pow.f64 n 3)))))) |
(*.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))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) 1)) i)) (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4)))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) 1)) i))))) |
(*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i)))) |
(+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 5) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) (pow.f64 i 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 4) i)) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) (pow.f64 i 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 i 3))) (*.f64 1/3 (/.f64 1 (pow.f64 i 4))))))))) (*.f64 100 (/.f64 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))) i))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
| Outputs |
|---|
(/.f64 1/100 n) |
(+.f64 (*.f64 1/100 (/.f64 1 n)) (*.f64 1/100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 (/.f64 1/100 n) (*.f64 (*.f64 1/100 i) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n)) |
(+.f64 (*.f64 1/100 (/.f64 1 n)) (+.f64 (*.f64 1/100 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/6 (/.f64 1 n)) (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) (pow.f64 i 2))) (*.f64 1/100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (/.f64 1/100 n) (*.f64 1/100 (+.f64 (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 1/6 n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (-.f64 1/2 (/.f64 1/2 n))))) (*.f64 i i)) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))) |
(fma.f64 1/100 (fma.f64 (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (+.f64 1/2 (/.f64 -1/2 n)) (/.f64 1/6 n))) (/.f64 1/3 (pow.f64 n 3))) (*.f64 i i) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (/.f64 1/100 n)) |
(fma.f64 1/100 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (/.f64 -1/3 (pow.f64 n 3)) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (+.f64 1/2 (/.f64 -1/2 n)) (/.f64 1/6 n)))) (*.f64 i i) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (/.f64 1/100 n)) |
(+.f64 (*.f64 1/100 (/.f64 1 n)) (+.f64 (*.f64 1/100 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/6 (/.f64 1 n)) (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 1/100 (*.f64 (pow.f64 i 3) (-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/4 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/6 (/.f64 1 n)) (*.f64 (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))) (+.f64 (*.f64 1/24 (/.f64 1 n)) (+.f64 (*.f64 11/24 (/.f64 1 (pow.f64 n 3))) (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 n 2))) 1/6) (*.f64 1/2 (/.f64 1 n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))))))) (*.f64 1/100 (*.f64 i (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))))) |
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(+.f64 (/.f64 1/100 n) (*.f64 1/100 (+.f64 (*.f64 (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (+.f64 1/2 (/.f64 -1/2 n)) (/.f64 1/6 n))) (/.f64 1/3 (pow.f64 n 3))) (*.f64 i i)) (fma.f64 (pow.f64 i 3) (+.f64 (/.f64 1/4 (*.f64 n n)) (-.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (+.f64 1/6 (+.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 11/24 (pow.f64 n 3))) (fma.f64 (+.f64 1/2 (/.f64 -1/2 n)) (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (+.f64 1/2 (/.f64 -1/2 n)) (/.f64 1/6 n))) (/.f64 1/3 (pow.f64 n 3))) (/.f64 1/24 n))))) (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))))) |
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(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 -100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n n)) (/.f64 (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))) i)) (*.f64 100 (+.f64 (*.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/8 (pow.f64 i 4) (*.f64 1/3 (pow.f64 i 3))) i)) (/.f64 n (/.f64 i (expm1.f64 i))))))) |
(fma.f64 (*.f64 i (exp.f64 i)) -50 (fma.f64 100 (fma.f64 (/.f64 (exp.f64 i) n) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 1/8 (pow.f64 i 4))) i) (*.f64 (/.f64 n i) (expm1.f64 i))) (*.f64 -100 (*.f64 (/.f64 (exp.f64 i) (*.f64 n (*.f64 n i))) (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 100 (/.f64 i (/.f64 i n))) |
| ✓ | 17.0b | (/.f64 i (/.f64 i n)) |
Compiled 20 to 7 computations (65% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | n | @ | inf | (/.f64 i (/.f64 i n)) |
| 1.0ms | n | @ | -inf | (/.f64 i (/.f64 i n)) |
| 0.0ms | n | @ | inf | (*.f64 100 (/.f64 i (/.f64 i n))) |
| 0.0ms | n | @ | -inf | (*.f64 100 (/.f64 i (/.f64 i n))) |
| 0.0ms | i | @ | 0 | (/.f64 i (/.f64 i n)) |
| 1× | batch-egg-rewrite |
| 753× | pow1_binary64 |
| 707× | add-log-exp_binary64 |
| 707× | log1p-expm1-u_binary64 |
| 707× | expm1-log1p-u_binary64 |
| 692× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 155 | 5 |
| 2 | 2224 | 5 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 i (/.f64 i n)) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i 1) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) i) (/.f64 (cbrt.f64 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) i) (/.f64 (sqrt.f64 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) 1) (/.f64 (cbrt.f64 i) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) 1) (/.f64 (sqrt.f64 i) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 i (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (sqrt.f64 i) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 i n))) (/.f64 i (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (sqrt.f64 (/.f64 i n))) (/.f64 (cbrt.f64 i) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (neg.f64 i)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 n 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 n 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 n) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 n) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 i (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 n n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 n 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 i 3) (pow.f64 (/.f64 i n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x . n)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 n)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 n 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i 100) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 i 100)) (/.f64 (neg.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 i 100) i) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 i 100) 1) (/.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 i 100) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 i 100) (sqrt.f64 (/.f64 i n))) (sqrt.f64 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 i) 100) (/.f64 (neg.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (neg.f64 i)) (/.f64 (neg.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n 100)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n 100) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) n))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n 100))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 120 |
| 1 | 5 | 120 |
| 1× | saturated |
| 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 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 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
| Outputs |
|---|
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 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 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) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 17.4b | (/.f64 (*.f64 i 100) (/.f64 i n)) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | i | @ | 0 | (/.f64 (*.f64 i 100) (/.f64 i n)) |
| 0.0ms | i | @ | inf | (/.f64 (*.f64 i 100) (/.f64 i n)) |
| 0.0ms | n | @ | inf | (/.f64 (*.f64 i 100) (/.f64 i n)) |
| 0.0ms | i | @ | -inf | (/.f64 (*.f64 i 100) (/.f64 i n)) |
| 0.0ms | n | @ | -inf | (/.f64 (*.f64 i 100) (/.f64 i n)) |
| 1× | batch-egg-rewrite |
| 915× | pow1_binary64 |
| 860× | add-log-exp_binary64 |
| 860× | log1p-expm1-u_binary64 |
| 860× | expm1-log1p-u_binary64 |
| 843× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 156 | 10 |
| 2 | 2260 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 i 100) (/.f64 i n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 (/.f64 i (/.f64 i n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (/.f64 1 (*.f64 (/.f64 i n) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i (*.f64 100 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 i (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (*.f64 i (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i 100) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (*.f64 100 (/.f64 i i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (/.f64 i (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 100 (/.f64 i (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))) (pow.f64 (cbrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))) 2) (cbrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 i 100)) 2) (*.f64 (cbrt.f64 (*.f64 i 100)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))) (sqrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 10 (sqrt.f64 i)) (*.f64 (*.f64 10 (sqrt.f64 i)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i -100) (/.f64 1 (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) (*.f64 i 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (/.f64 i i)) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i 1) (/.f64 100 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i i) (/.f64 100 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 i 100)) 2) 1) (/.f64 (cbrt.f64 (*.f64 i 100)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 10 (sqrt.f64 i)) 1) (/.f64 (*.f64 10 (sqrt.f64 i)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 10 (sqrt.f64 i)) i) (/.f64 (*.f64 10 (sqrt.f64 i)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 i 100)) 2) i) (/.f64 (cbrt.f64 (*.f64 i 100)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (/.f64 i n)) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 100 (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 i (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (*.f64 i 100) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 i 100)) 2) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 10 (sqrt.f64 i)) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (*.f64 10 (sqrt.f64 i)) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i (sqrt.f64 (/.f64 i n))) (/.f64 100 (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (sqrt.f64 (/.f64 i n))) (/.f64 i (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 i n))) (/.f64 (*.f64 i 100) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 i 100)) 2) (sqrt.f64 (/.f64 i n))) (/.f64 (cbrt.f64 (*.f64 i 100)) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 i 100) 1) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 i 100) (neg.f64 i)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 (/.f64 i i)) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 (/.f64 i i)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 (/.f64 i i)) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (/.f64 i (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (/.f64 i (/.f64 i n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 100 (/.f64 i (/.f64 i n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/100 (/.f64 (/.f64 i n) i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 i 100) (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 100 (/.f64 i (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 i) 100) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (/.f64 i (/.f64 i n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 i 100) 3) (pow.f64 (/.f64 i n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (/.f64 i (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (/.f64 i (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (/.f64 i (/.f64 i n))))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 96 |
| 1 | 5 | 96 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
| Outputs |
|---|
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (expm1.f64 i) 100) |
| ✓ | 13.7b | (/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) |
Compiled 22 to 10 computations (54.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | n | @ | 0 | (/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) |
| 2.0ms | i | @ | -inf | (/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) |
| 2.0ms | i | @ | inf | (/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) |
| 1.0ms | i | @ | 0 | (/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) |
| 1.0ms | n | @ | inf | (/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) |
| 1× | batch-egg-rewrite |
| 500× | log-prod_binary64 |
| 392× | exp-prod_binary64 |
| 294× | prod-exp_binary64 |
| 258× | pow-prod-down_binary64 |
| 225× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 18 |
| 1 | 174 | 18 |
| 2 | 2455 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) |
(*.f64 (expm1.f64 i) 100) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100) (/.f64 n i))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100) (/.f64 n i)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100) (/.f64 n i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 i) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (/.f64 1 (*.f64 (/.f64 i n) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) 100) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) (pow.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) 2) (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) 2) (*.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) (*.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (expm1.f64 i) -100) (/.f64 1 (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) i) (/.f64 100 (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 i) (/.f64 (expm1.f64 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) 2) i) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) i) (/.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) 1) (/.f64 100 (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (/.f64 i n)) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) 1) (/.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) (/.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 100 (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 i n)) -2) (/.f64 (*.f64 (expm1.f64 i) 100) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) 2) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) (pow.f64 (cbrt.f64 (/.f64 i n)) 2)) (/.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) (cbrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) (sqrt.f64 (/.f64 i n))) (/.f64 100 (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (sqrt.f64 (/.f64 i n))) (/.f64 (expm1.f64 i) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 i n) -1/2) (/.f64 (*.f64 (expm1.f64 i) 100) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) 2) (sqrt.f64 (/.f64 i n))) (/.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) (sqrt.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (expm1.f64 i) 100) 1) (/.f64 n i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/100 (/.f64 (/.f64 i n) (expm1.f64 i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 i) 100) 3) (pow.f64 (/.f64 n i) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/100 (/.f64 (/.f64 i n) (expm1.f64 i))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))) 2)) (cbrt.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))) (sqrt.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 (neg.f64 i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100) (/.f64 n i)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 i) 100) 3) (pow.f64 (/.f64 n i) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/100 (/.f64 (/.f64 i n) (expm1.f64 i)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 i)) 1) (log.f64 (*.f64 (/.f64 i n) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) 1) (log.f64 (/.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) (*.f64 (log.f64 (/.f64 i n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) 1) (*.f64 (log.f64 (/.f64 i n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) 1) (log.f64 (/.f64 n i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 n) 1) (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 n i)) (*.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) (*.f64 (log.f64 n) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (expm1.f64 i) 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (expm1.f64 i) 100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (expm1.f64 i) 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (expm1.f64 i) 2) 10000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (expm1.f64 i) 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (expm1.f64 i) 100))) 2)) (cbrt.f64 (log.f64 (*.f64 (expm1.f64 i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (expm1.f64 i) 100)))) (sqrt.f64 (log.f64 (*.f64 (expm1.f64 i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (expm1.f64 i) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (expm1.f64 i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (expm1.f64 i) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (expm1.f64 i) 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (expm1.f64 i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (expm1.f64 i) 100) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (expm1.f64 i) 100))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (expm1.f64 i)) 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (expm1.f64 i) 100)) 1) 1)))))) |
| 1× | egg-herbie |
| 803× | unswap-sqr_binary64 |
| 766× | fma-def_binary64 |
| 647× | times-frac_binary64 |
| 570× | distribute-lft-out_binary64 |
| 432× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 413 |
| 1 | 117 | 413 |
| 2 | 294 | 407 |
| 3 | 953 | 382 |
| 4 | 3059 | 382 |
| 5 | 5399 | 382 |
| 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)) |
(*.f64 100 i) |
(+.f64 (*.f64 100 i) (*.f64 50 (pow.f64 i 2))) |
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (*.f64 50 (pow.f64 i 2)))) |
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (+.f64 (*.f64 50 (pow.f64 i 2)) (*.f64 25/6 (pow.f64 i 4))))) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
| Outputs |
|---|
(*.f64 100 n) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(fma.f64 50 (*.f64 n i) (*.f64 100 n)) |
(fma.f64 100 n (*.f64 50 (*.f64 n i))) |
(*.f64 n (+.f64 (*.f64 50 i) 100)) |
(*.f64 n (fma.f64 50 i 100)) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))) |
(fma.f64 50 (*.f64 n i) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 100 n))) |
(fma.f64 50 (*.f64 n i) (fma.f64 100 n (*.f64 n (*.f64 (*.f64 i i) 50/3)))) |
(fma.f64 (*.f64 i i) (*.f64 n 50/3) (*.f64 n (+.f64 (*.f64 50 i) 100))) |
(*.f64 n (+.f64 100 (*.f64 i (fma.f64 i 50/3 50)))) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))) |
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 50/3 (*.f64 n (*.f64 i i)) (*.f64 100 n)))) |
(fma.f64 50 (*.f64 n i) (fma.f64 25/6 (*.f64 n (pow.f64 i 3)) (fma.f64 100 n (*.f64 n (*.f64 (*.f64 i i) 50/3))))) |
(fma.f64 n (*.f64 25/6 (pow.f64 i 3)) (fma.f64 (*.f64 i i) (*.f64 n 50/3) (*.f64 n (+.f64 (*.f64 50 i) 100)))) |
(*.f64 n (+.f64 (fma.f64 25/6 (pow.f64 i 3) 100) (*.f64 i (fma.f64 i 50/3 50)))) |
(*.f64 n (+.f64 (*.f64 i (fma.f64 i 50/3 50)) (fma.f64 25/6 (pow.f64 i 3) 100))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (expm1.f64 i)) i)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 100 (*.f64 n (/.f64 (expm1.f64 i) i))) |
(*.f64 100 i) |
(+.f64 (*.f64 100 i) (*.f64 50 (pow.f64 i 2))) |
(fma.f64 100 i (*.f64 50 (*.f64 i i))) |
(*.f64 i (+.f64 100 (*.f64 50 i))) |
(*.f64 i (fma.f64 50 i 100)) |
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (*.f64 50 (pow.f64 i 2)))) |
(fma.f64 100 i (fma.f64 50/3 (pow.f64 i 3) (*.f64 50 (*.f64 i i)))) |
(fma.f64 100 i (fma.f64 50 (*.f64 i i) (*.f64 50/3 (pow.f64 i 3)))) |
(fma.f64 100 i (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i 50/3)))) |
(*.f64 i (+.f64 (*.f64 i (fma.f64 i 50/3 50)) 100)) |
(*.f64 i (+.f64 100 (*.f64 i (fma.f64 i 50/3 50)))) |
(+.f64 (*.f64 100 i) (+.f64 (*.f64 50/3 (pow.f64 i 3)) (+.f64 (*.f64 50 (pow.f64 i 2)) (*.f64 25/6 (pow.f64 i 4))))) |
(fma.f64 100 i (fma.f64 50/3 (pow.f64 i 3) (fma.f64 50 (*.f64 i i) (*.f64 25/6 (pow.f64 i 4))))) |
(fma.f64 100 i (fma.f64 25/6 (pow.f64 i 4) (*.f64 (*.f64 i i) (+.f64 50 (*.f64 i 50/3))))) |
(fma.f64 i (fma.f64 50 i 100) (*.f64 (pow.f64 i 3) (+.f64 50/3 (*.f64 i 25/6)))) |
(*.f64 i (+.f64 (*.f64 i (fma.f64 i 50/3 50)) (fma.f64 25/6 (pow.f64 i 3) 100))) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(*.f64 100 (expm1.f64 i)) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(*.f64 100 (expm1.f64 i)) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(*.f64 100 (expm1.f64 i)) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(*.f64 100 (expm1.f64 i)) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(*.f64 100 (expm1.f64 i)) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(*.f64 100 (expm1.f64 i)) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(*.f64 100 (expm1.f64 i)) |
(*.f64 100 (-.f64 (exp.f64 i) 1)) |
(*.f64 100 (expm1.f64 i)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.6b | (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) |
| ✓ | 0.6b | (/.f64 1 (*.f64 (/.f64 i n) 1/100)) |
| ✓ | 6.3b | (pow.f64 (+.f64 (/.f64 i n) 1) n) |
| ✓ | 15.2b | (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
Compiled 67 to 33 computations (50.7% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | i | @ | inf | (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
| 2.0ms | n | @ | 0 | (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
| 2.0ms | n | @ | 0 | (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) |
| 2.0ms | i | @ | -inf | (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
| 1.0ms | n | @ | inf | (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
| 1× | batch-egg-rewrite |
| 746× | log-prod_binary64 |
| 503× | fma-def_binary64 |
| 368× | fma-neg_binary64 |
| 343× | log-div_binary64 |
| 249× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 61 |
| 1 | 288 | 56 |
| 2 | 4512 | 56 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
(pow.f64 (+.f64 (/.f64 i n) 1) n) |
(/.f64 1 (*.f64 (/.f64 i n) 1/100)) |
(/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 n i) 100)) (/.f64 (neg.f64 (/.f64 n i)) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 n i) 100)) (*.f64 (/.f64 (neg.f64 (/.f64 n i)) 1/100) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 n i) 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (fma.f64 (/.f64 (neg.f64 (/.f64 n i)) 1/100) 1 (*.f64 (/.f64 n i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 n i) 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 n i) 100))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 i n) 1/100) -2)) (*.f64 (/.f64 n i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 n i) 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) (+.f64 (/.f64 (neg.f64 (/.f64 n i)) 1/100) (*.f64 (/.f64 n i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (/.f64 n i) 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (/.f64 n i)) 1/100) (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 n i) 100)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (/.f64 n i) 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))) (cbrt.f64 (exp.f64 (*.f64 (*.f64 (/.f64 n i) 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (*.f64 (/.f64 n i) 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (/.f64 n i) 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 (/.f64 n i) 100) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 (/.f64 n i) 100) (expm1.f64 (*.f64 n 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| 1× | egg-herbie |
| 822× | distribute-rgt-in_binary64 |
| 815× | distribute-lft-in_binary64 |
| 429× | fma-def_binary64 |
| 274× | distribute-lft-out_binary64 |
| 224× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 341 | 4354 |
| 1 | 1186 | 4053 |
| 2 | 4332 | 3620 |
| 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 (-.f64 (*.f64 100 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (*.f64 100 n)) i) |
(-.f64 (+.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) (*.f64 100 (/.f64 n i))) |
(-.f64 (+.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) (*.f64 100 (/.f64 n i))) |
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(*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i)))) |
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(*.f64 n (-.f64 (*.f64 100 (/.f64 (exp.f64 i) i)) (*.f64 100 (/.f64 1 i)))) |
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(*.f64 -1 (*.f64 n (+.f64 (*.f64 -100 (/.f64 (exp.f64 i) i)) (*.f64 100 (/.f64 1 i))))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 -1 (*.f64 n (+.f64 (*.f64 -100 (/.f64 (exp.f64 i) i)) (*.f64 100 (/.f64 1 i)))))) |
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(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 -100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4))))) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (exp.f64 i) (+.f64 (*.f64 1/3 (pow.f64 i 3)) (*.f64 1/8 (pow.f64 i 4)))) (*.f64 n i))) (*.f64 -1 (*.f64 n (+.f64 (*.f64 -100 (/.f64 (exp.f64 i) i)) (*.f64 100 (/.f64 1 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)))))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2)) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) |
1 |
(+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) (+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) (+.f64 1 (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))) |
(exp.f64 i) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (+.f64 (exp.f64 i) (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))))) |
(exp.f64 i) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (pow.f64 n 3))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (pow.f64 n 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 i 2) (exp.f64 i)) n)) (exp.f64 i)))) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(*.f64 100 (/.f64 n i)) |
(+.f64 (*.f64 100 (/.f64 n i)) (*.f64 100 n)) |
(+.f64 (*.f64 100 (/.f64 n i)) (+.f64 (*.f64 100 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))))) |
(+.f64 (*.f64 100 (/.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 n) (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))))) |
(*.f64 100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) 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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))))) |
(*.f64 100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4)))))) |
(*.f64 100 (/.f64 n i)) |
(+.f64 (*.f64 100 (/.f64 n i)) (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i)))))) |
(+.f64 (*.f64 100 (/.f64 n i)) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i))))))) |
(+.f64 (*.f64 100 (/.f64 n i)) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i)))))))) |
(*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i))))) |
(*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.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 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i))))) |
| Outputs |
|---|
(*.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 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n))))) |
(*.f64 100 (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)) |
(*.f64 100 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) 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))) |
(fma.f64 100 (*.f64 (*.f64 n (*.f64 i i)) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (*.f64 100 (+.f64 n (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n)))))) |
(*.f64 100 (+.f64 (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n) (*.f64 n (*.f64 (*.f64 i i) (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 i (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))) (+.f64 1/2 (/.f64 -1/2 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)))) |
(fma.f64 100 (*.f64 n (*.f64 (-.f64 (+.f64 1/24 (/.f64 11/24 (*.f64 n n))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) (pow.f64 i 3))) (fma.f64 100 (*.f64 (*.f64 n (*.f64 i i)) (+.f64 (/.f64 1/3 (*.f64 n n)) (-.f64 1/6 (/.f64 1/2 n)))) (*.f64 100 (+.f64 n (*.f64 (*.f64 n i) (-.f64 1/2 (/.f64 1/2 n))))))) |
(+.f64 (*.f64 100 (fma.f64 n (*.f64 i (+.f64 1/2 (/.f64 -1/2 n))) n)) (*.f64 (*.f64 100 n) (+.f64 (*.f64 (-.f64 (+.f64 1/24 (/.f64 (/.f64 11/24 n) n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) (pow.f64 i 3)) (*.f64 (*.f64 i i) (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n))))))) |
(*.f64 100 (+.f64 (fma.f64 (*.f64 n i) (+.f64 1/2 (/.f64 -1/2 n)) n) (*.f64 n (*.f64 (*.f64 i i) (+.f64 (*.f64 i (+.f64 1/24 (+.f64 (/.f64 (/.f64 11/24 n) n) (+.f64 (/.f64 -1/4 (pow.f64 n 3)) (/.f64 -1/4 n))))) (+.f64 (/.f64 (/.f64 1/3 n) n) (+.f64 1/6 (/.f64 -1/2 n)))))))) |
(/.f64 (-.f64 (*.f64 100 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (*.f64 100 n)) i) |
(/.f64 (*.f64 100 (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) n)) i) |
(/.f64 100 (/.f64 i (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) n))) |
(/.f64 100 (/.f64 i (-.f64 (*.f64 n (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n))) n))) |
(-.f64 (+.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))) (*.f64 100 (/.f64 n i))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (*.f64 i i))) (/.f64 (*.f64 100 (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) n)) i)) |
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i)) (/.f64 100 (/.f64 i (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) n)))) |
(*.f64 100 (-.f64 (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (+.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n i))) (/.f64 n i))) |
(-.f64 (+.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 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i)))) (*.f64 100 (/.f64 n i))) |
(+.f64 (fma.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (*.f64 i i)) (*.f64 100 (+.f64 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))))) (/.f64 n (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))))))) (*.f64 -100 (/.f64 n i))) |
(+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i)) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))))) (/.f64 100 (/.f64 i (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) n)))) |
(+.f64 (*.f64 100 (+.f64 (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (+.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n i))) (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))))) (*.f64 n (/.f64 -100 i))) |
(-.f64 (+.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 (+.f64 (*.f64 1/6 (pow.f64 n 6)) (+.f64 (*.f64 -1/2 (pow.f64 n 5)) (*.f64 1/3 (pow.f64 n 4)))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))))) (pow.f64 i 4))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n)))))) i))))) (*.f64 100 (/.f64 n i))) |
(+.f64 (fma.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n))))) (*.f64 i i)) (fma.f64 100 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4)))))) (*.f64 100 (+.f64 (/.f64 n (/.f64 (pow.f64 i 4) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 -1/2 (pow.f64 n 5) (*.f64 1/3 (pow.f64 n 4))))))) (/.f64 n (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))))))))) (*.f64 -100 (/.f64 n i))) |
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) i) (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) i)) (+.f64 (*.f64 100 (+.f64 (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))) (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 1/3 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 5)))))))) (/.f64 100 (/.f64 i (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n)))) n))))) |
(+.f64 (*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 n (pow.f64 i 3)) (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)))) (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (fma.f64 1/6 (pow.f64 n 6) (fma.f64 1/3 (pow.f64 n 4) (*.f64 -1/2 (pow.f64 n 5))))))) (*.f64 (*.f64 (pow.f64 n (neg.f64 n)) (pow.f64 i n)) (+.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (/.f64 n i))))) (*.f64 n (/.f64 -100 i))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -100 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -100 n)) i)) |
(neg.f64 (/.f64 (*.f64 -100 (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) n)) i)) |
(/.f64 (*.f64 100 (fma.f64 n (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (neg.f64 n))) i) |
(/.f64 100 (/.f64 i (-.f64 (*.f64 n (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) n))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -100 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -100 n)) i)) (*.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)))) |
(fma.f64 -1 (/.f64 (*.f64 -100 (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) n)) i) (*.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))))) |
(fma.f64 100 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (pow.f64 n 3) i)) (/.f64 (*.f64 100 (fma.f64 n (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (neg.f64 n))) i)) |
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) (/.f64 100 (/.f64 i (-.f64 (*.f64 n (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) n)))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -100 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (*.f64 -100 n)) 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 (+.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))))) |
(fma.f64 -1 (/.f64 (*.f64 -100 (-.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) n)) i) (*.f64 100 (+.f64 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))))))) |
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1 |
(+.f64 1 i) |
(+.f64 i 1) |
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(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 1 i))) (log.f64 (/.f64 1 n))))) |
(pow.f64 (exp.f64 n) (fma.f64 -1 (neg.f64 (log.f64 i)) (neg.f64 (log.f64 n)))) |
(pow.f64 (exp.f64 n) (-.f64 (log.f64 i) (log.f64 n))) |
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(exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) |
(pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) |
(pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) |
(*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) |
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(*.f64 (+.f64 (/.f64 (*.f64 n n) i) 1) (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) |
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(+.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) (*.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) (+.f64 (/.f64 (*.f64 n n) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (*.f64 i i))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6))))) (pow.f64 i 3))) (+.f64 (/.f64 (*.f64 (pow.f64 n 2) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2)) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))))) |
(fma.f64 -1 (/.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (/.f64 (pow.f64 i 3) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6))))) (+.f64 (/.f64 (*.f64 n n) (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (+.f64 (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))) (/.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))) |
(-.f64 (+.f64 (*.f64 (/.f64 (*.f64 n n) i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))) (+.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) i)))) (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (pow.f64 i 3)) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) (+.f64 (/.f64 (*.f64 n n) i) (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (*.f64 i i)))) (-.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) (/.f64 (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)) (/.f64 (pow.f64 i 3) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6))))))) |
1 |
(+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))) |
(+.f64 1 (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))) |
(fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) 1) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) (+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i))))) |
(fma.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (*.f64 n n) (+.f64 1 (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i))))) |
(fma.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) 1)) |
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2)) (/.f64 1 i)) (pow.f64 n 2)) (+.f64 1 (+.f64 (*.f64 (pow.f64 n 3) (-.f64 (+.f64 (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3)) (+.f64 (*.f64 -1 (/.f64 (log.f64 n) i)) (/.f64 (log.f64 i) i))) (*.f64 1/2 (/.f64 1 (pow.f64 i 2))))) (*.f64 n (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)))))) |
(fma.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2) (/.f64 1 i)) (*.f64 n n) (+.f64 1 (fma.f64 (pow.f64 n 3) (-.f64 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))) (/.f64 1/2 (*.f64 i i))) (*.f64 n (fma.f64 -1 (log.f64 n) (log.f64 i)))))) |
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(+.f64 (fma.f64 (*.f64 n n) (fma.f64 1/2 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) (/.f64 1 i)) (fma.f64 n (-.f64 (log.f64 i) (log.f64 n)) 1)) (*.f64 (pow.f64 n 3) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (fma.f64 1/6 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) (/.f64 -1/2 (*.f64 i i)))))) |
(exp.f64 i) |
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(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (*.f64 100 (+.f64 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (/.f64 n (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))))) |
(*.f64 100 (+.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (pow.f64 n 3) i)) (/.f64 (*.f64 n (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2))) (/.f64 (pow.f64 i 3) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))) (*.f64 (/.f64 n i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i))))))) |
(*.f64 100 (+.f64 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) (*.f64 (/.f64 n i) (*.f64 (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (*.f64 i i)) 1) (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)))))) |
(+.f64 (*.f64 100 (/.f64 (*.f64 (pow.f64 n 3) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) (pow.f64 i 2))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 4))) (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))))) (pow.f64 i 3))) (+.f64 (*.f64 100 (/.f64 (*.f64 n (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n))))))) i)) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (exp.f64 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 i))) (log.f64 (neg.f64 (/.f64 1 n)))))) (+.f64 (*.f64 -1/3 (pow.f64 n 4)) (+.f64 (*.f64 1/2 (pow.f64 n 5)) (*.f64 -1/6 (pow.f64 n 6)))))) (pow.f64 i 4)))))) |
(fma.f64 100 (/.f64 (pow.f64 n 3) (/.f64 (*.f64 i i) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (fma.f64 100 (/.f64 n (/.f64 (pow.f64 i 3) (*.f64 (fma.f64 -1/2 (pow.f64 n 3) (*.f64 1/2 (pow.f64 n 4))) (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))))) (fma.f64 100 (/.f64 n (/.f64 i (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n)))))) (*.f64 -100 (/.f64 (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (fma.f64 -1 (log.f64 (/.f64 -1 i)) (log.f64 (/.f64 -1 n))))) (fma.f64 -1/3 (pow.f64 n 4) (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6)))) (pow.f64 i 4)))))) |
(fma.f64 100 (*.f64 (/.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) i) (/.f64 (pow.f64 n 3) i)) (fma.f64 100 (+.f64 (/.f64 (*.f64 n (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2))) (/.f64 (pow.f64 i 3) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 (/.f64 n i) (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))))) (*.f64 -100 (*.f64 (/.f64 n (pow.f64 i 4)) (*.f64 (pow.f64 (exp.f64 n) (-.f64 (log.f64 (/.f64 -1 n)) (log.f64 (/.f64 -1 i)))) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6)))))))) |
(fma.f64 100 (*.f64 (/.f64 (pow.f64 n 3) (*.f64 i i)) (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) (fma.f64 100 (*.f64 (/.f64 n i) (*.f64 (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 n 4) (*.f64 (pow.f64 n 3) -1/2)) (*.f64 i i)) 1) (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n)))) (*.f64 -100 (/.f64 (*.f64 n (*.f64 (pow.f64 (/.f64 -1 i) (neg.f64 n)) (pow.f64 (/.f64 -1 n) n))) (/.f64 (pow.f64 i 4) (fma.f64 (pow.f64 n 4) -1/3 (fma.f64 1/2 (pow.f64 n 5) (*.f64 (pow.f64 n 6) -1/6)))))))) |
(*.f64 100 (/.f64 n i)) |
(+.f64 (*.f64 100 (/.f64 n i)) (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i)))))) |
(*.f64 100 (+.f64 (/.f64 n i) (*.f64 (*.f64 n n) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))))) |
(*.f64 100 (+.f64 (/.f64 n i) (*.f64 (*.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))))) |
(*.f64 100 (+.f64 (/.f64 n i) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))) |
(+.f64 (*.f64 100 (/.f64 n i)) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i))))))) |
(fma.f64 100 (/.f64 n i) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (/.f64 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2)) i))) (*.f64 (*.f64 n n) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i)))))) |
(*.f64 100 (+.f64 (/.f64 n i) (fma.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) (*.f64 (*.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i)))))) |
(*.f64 100 (+.f64 (*.f64 (*.f64 n n) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (*.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) n))) (/.f64 n i))) |
(+.f64 (*.f64 100 (/.f64 n i)) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 n) (pow.f64 i 2))) (+.f64 (/.f64 (log.f64 i) (pow.f64 i 2)) (*.f64 1/6 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 3) i)))) (*.f64 1/2 (/.f64 1 (pow.f64 i 3)))))) (+.f64 (*.f64 100 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (pow.f64 i 2)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 i)) 2) i))))) (*.f64 100 (*.f64 (pow.f64 n 2) (+.f64 (/.f64 (log.f64 i) i) (*.f64 -1 (/.f64 (log.f64 n) i)))))))) |
(fma.f64 100 (/.f64 n i) (fma.f64 100 (*.f64 (pow.f64 n 4) (-.f64 (fma.f64 -1 (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 3) i) (/.f64 (log.f64 i) (*.f64 i i)))) (/.f64 1/2 (pow.f64 i 3)))) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (+.f64 (/.f64 1 (*.f64 i i)) (/.f64 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 n) (log.f64 i)) 2)) i))) (*.f64 (*.f64 n n) (fma.f64 -1 (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))))))) |
(fma.f64 100 (/.f64 n i) (*.f64 100 (+.f64 (*.f64 (pow.f64 n 3) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i)))) (fma.f64 (pow.f64 n 4) (+.f64 (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 (log.f64 n) (*.f64 i i))) (/.f64 -1/2 (pow.f64 i 3))) (*.f64 (*.f64 n n) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))))))) |
(*.f64 100 (+.f64 (/.f64 n i) (+.f64 (*.f64 (*.f64 n n) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) (*.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 2) i) (/.f64 1 (*.f64 i i))) n))) (*.f64 (pow.f64 n 4) (+.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) 3) i) (/.f64 -1/2 (pow.f64 i 3)))))))) |
(*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (exp.f64 i)))) |
(/.f64 (*.f64 100 n) (/.f64 i (exp.f64 i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (/.f64 n (/.f64 i (exp.f64 i))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 (*.f64 100 n) (/.f64 i (exp.f64 i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (exp.f64 i)))))) |
(fma.f64 100 (fma.f64 (/.f64 (fma.f64 (pow.f64 i 4) 1/8 (*.f64 1/3 (pow.f64 i 3))) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (exp.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50))) |
(fma.f64 100 (*.f64 (exp.f64 i) (+.f64 (/.f64 n i) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (*.f64 n i)))) (*.f64 i (*.f64 (exp.f64 i) -50))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 i 6)) (+.f64 (*.f64 -1/6 (pow.f64 i 5)) (*.f64 -1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (*.f64 (/.f64 (fma.f64 -1/48 (pow.f64 i 6) (fma.f64 -1/6 (pow.f64 i 5) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (exp.f64 i) i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (exp.f64 i))))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 i 4) 1/8 (*.f64 1/3 (pow.f64 i 3))) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (exp.f64 i))) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (*.f64 (/.f64 n i) (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 i 5) (fma.f64 -1/48 (pow.f64 i 6) (*.f64 (pow.f64 i 4) -1/4))) (*.f64 n n)) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n)))))) |
(*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)) |
(*.f64 100 (/.f64 n (/.f64 i (exp.f64 i)))) |
(/.f64 (*.f64 100 n) (/.f64 i (exp.f64 i))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (/.f64 n (/.f64 i (exp.f64 i))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 (*.f64 100 n) (/.f64 i (exp.f64 i)))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 i 4)) (*.f64 1/3 (pow.f64 i 3))) (exp.f64 i)) (*.f64 n i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i)))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (*.f64 100 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (/.f64 n (/.f64 i (exp.f64 i)))))) |
(fma.f64 100 (fma.f64 (/.f64 (fma.f64 (pow.f64 i 4) 1/8 (*.f64 1/3 (pow.f64 i 3))) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (exp.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50))) |
(fma.f64 100 (*.f64 (exp.f64 i) (+.f64 (/.f64 n i) (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (*.f64 n i)))) (*.f64 i (*.f64 (exp.f64 i) -50))) |
(+.f64 (*.f64 -50 (*.f64 i (exp.f64 i))) (+.f64 (*.f64 100 (/.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 -100 (/.f64 (*.f64 (+.f64 (*.f64 1/48 (pow.f64 i 6)) (+.f64 (*.f64 1/6 (pow.f64 i 5)) (*.f64 1/4 (pow.f64 i 4)))) (exp.f64 i)) (*.f64 (pow.f64 n 2) i))) (*.f64 100 (/.f64 (*.f64 n (exp.f64 i)) i))))) |
(fma.f64 -50 (*.f64 i (exp.f64 i)) (fma.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) (/.f64 (*.f64 n i) (exp.f64 i))) (fma.f64 -100 (/.f64 (exp.f64 i) (/.f64 (*.f64 i (*.f64 n n)) (fma.f64 1/48 (pow.f64 i 6) (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))))) (*.f64 100 (/.f64 n (/.f64 i (exp.f64 i))))))) |
(+.f64 (fma.f64 100 (fma.f64 (/.f64 (fma.f64 (pow.f64 i 4) 1/8 (*.f64 1/3 (pow.f64 i 3))) n) (/.f64 (exp.f64 i) i) (*.f64 (/.f64 n i) (exp.f64 i))) (*.f64 i (*.f64 (exp.f64 i) -50))) (*.f64 -100 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))) (*.f64 n n))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 i) i) (+.f64 (*.f64 -100 (/.f64 (fma.f64 (pow.f64 i 6) 1/48 (fma.f64 1/6 (pow.f64 i 5) (*.f64 1/4 (pow.f64 i 4)))) (*.f64 n n))) (*.f64 100 (/.f64 (fma.f64 1/3 (pow.f64 i 3) (*.f64 (pow.f64 i 4) 1/8)) n)))) (fma.f64 -50 (*.f64 i (exp.f64 i)) (/.f64 (*.f64 100 n) (/.f64 i (exp.f64 i))))) |
Compiled 28656 to 16217 computations (43.4% saved)
39 alts after pruning (32 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 905 | 25 | 930 |
| Fresh | 8 | 7 | 15 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 6 | 7 |
| Total | 914 | 39 | 953 |
| Status | Error | Program |
|---|---|---|
| ▶ | 46.8b | (exp.f64 (log.f64 (*.f64 n 100))) |
| ✓ | 16.5b | (/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) |
| 16.7b | (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) n) | |
| ✓ | 48.2b | (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
| 16.7b | (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)) n) | |
| 54.3b | (-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) | |
| ▶ | 27.8b | (/.f64 1 (/.f64 1/100 n)) |
| 14.9b | (*.f64 (/.f64 (expm1.f64 i) i) (/.f64 100 (/.f64 1 n))) | |
| 35.3b | (/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100))) | |
| 46.5b | (/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) | |
| ▶ | 14.8b | (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) |
| 27.8b | (/.f64 100 (/.f64 1 n)) | |
| 28.9b | (*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100)) | |
| 26.8b | (*.f64 100 (-.f64 (+.f64 1 n) 1)) | |
| 28.0b | (+.f64 (*.f64 i -50) (*.f64 100 n)) | |
| ▶ | 32.4b | (*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n))) |
| ▶ | 46.6b | (*.f64 100 (sqrt.f64 (*.f64 n n))) |
| 28.3b | (*.f64 n (+.f64 100 (*.f64 50 i))) | |
| 31.3b | (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) | |
| ✓ | 35.2b | (/.f64 (*.f64 i 100) (/.f64 i n)) |
| 37.5b | (*.f64 i (*.f64 100 (/.f64 n i))) | |
| 32.1b | (*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n)))) | |
| ✓ | 48.1b | (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
| 27.8b | (*.f64 100 (pow.f64 (/.f64 1 n) -1)) | |
| 18.3b | (*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) | |
| 18.3b | (*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) | |
| 37.2b | (*.f64 100 (*.f64 (/.f64 n i) i)) | |
| ✓ | 48.0b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 14.8b | (*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n)) | |
| 37.3b | (*.f64 (/.f64 n i) (*.f64 i 100)) | |
| 28.3b | (*.f64 100 (pow.f64 (cbrt.f64 n) 3)) | |
| 36.6b | (*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n)))) | |
| 17.7b | (/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) | |
| 53.3b | (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) -1/100)) (*.f64 (*.f64 (/.f64 i n) 1/100) -1)) (*.f64 (*.f64 (/.f64 i n) 1/100) (*.f64 (/.f64 i n) -1/100))) | |
| ✓ | 27.7b | (*.f64 n 100) |
| 51.5b | (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) | |
| 32.1b | (*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n))) | |
| ✓ | 27.4b | (/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) |
| 16.8b | (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (/.f64 100 (/.f64 1 n))) |
Compiled 914 to 655 computations (28.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (expm1.f64 i) i) |
| ✓ | 0.1b | (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) |
| ✓ | 0.1b | (*.f64 100 (/.f64 (expm1.f64 i) i)) |
Compiled 25 to 10 computations (60% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | i | @ | inf | (*.f64 100 (/.f64 (expm1.f64 i) i)) |
| 0.0ms | i | @ | 0 | (*.f64 100 (/.f64 (expm1.f64 i) i)) |
| 0.0ms | i | @ | -inf | (*.f64 100 (/.f64 (expm1.f64 i) i)) |
| 0.0ms | i | @ | -inf | (/.f64 (expm1.f64 i) i) |
| 0.0ms | i | @ | 0 | (/.f64 (expm1.f64 i) i) |
| 1× | batch-egg-rewrite |
| 856× | pow1_binary64 |
| 795× | add-log-exp_binary64 |
| 795× | log1p-expm1-u_binary64 |
| 795× | expm1-log1p-u_binary64 |
| 778× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 1 | 168 | 27 |
| 2 | 2125 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 100 (/.f64 (expm1.f64 i) i)) |
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) |
(/.f64 (expm1.f64 i) i) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 (/.f64 (expm1.f64 i) i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 i (expm1.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 100 (expm1.f64 i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (expm1.f64 i)) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 100 (expm1.f64 i))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 (expm1.f64 i)) 1) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 (expm1.f64 i)) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 (expm1.f64 i)) (sqrt.f64 i)) (sqrt.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (expm1.f64 i)) 100) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (neg.f64 (expm1.f64 i))) (neg.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (expm1.f64 i) i)) 100))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (/.f64 (expm1.f64 i) i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (*.f64 100 (expm1.f64 i))) i)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 (*.f64 (/.f64 (expm1.f64 i) i) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (*.f64 (/.f64 (expm1.f64 i) i) n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (*.f64 (/.f64 (expm1.f64 i) i) n)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 i) i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 i) i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 i) (/.f64 1 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 i) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 i) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 2) (cbrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (*.f64 (cbrt.f64 (expm1.f64 i)) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) (sqrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 i)) (*.f64 (sqrt.f64 (expm1.f64 i)) (/.f64 1 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 i)) (/.f64 1 (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 i) (expm1.f64 i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) 1) (/.f64 (sqrt.f64 (expm1.f64 i)) i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 i) 2)) (/.f64 (expm1.f64 i) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (pow.f64 (cbrt.f64 i) 2)) (cbrt.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 i)) (pow.f64 (cbrt.f64 i) 2)) (/.f64 (sqrt.f64 (expm1.f64 i)) (cbrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 i)) (/.f64 (expm1.f64 i) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 i)) 2) (sqrt.f64 i)) (/.f64 (cbrt.f64 (expm1.f64 i)) (sqrt.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 i) i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 i) i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 i) i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 i (expm1.f64 i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 i) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 i) i) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 i) 3) (pow.f64 i 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 i) i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 i) i))))))) |
| 1× | egg-herbie |
| 860× | fma-def_binary64 |
| 527× | associate-/l*_binary64 |
| 519× | associate-/l/_binary64 |
| 483× | distribute-lft-out_binary64 |
| 450× | associate-/r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 513 |
| 1 | 140 | 507 |
| 2 | 359 | 490 |
| 3 | 1058 | 465 |
| 4 | 3123 | 465 |
| 5 | 5041 | 465 |
| 1× | node limit |
| Inputs |
|---|
100 |
(+.f64 100 (*.f64 50 i)) |
(+.f64 100 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))) |
(+.f64 100 (+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2))))) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 n) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 25/6 (*.f64 n (pow.f64 i 3))) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n)))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 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)) |
1 |
(+.f64 1 (*.f64 1/2 i)) |
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (*.f64 1/2 i))) |
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (+.f64 (*.f64 1/2 i) (*.f64 1/24 (pow.f64 i 3))))) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
| Outputs |
|---|
100 |
(+.f64 100 (*.f64 50 i)) |
(fma.f64 50 i 100) |
(+.f64 100 (+.f64 (*.f64 50 i) (*.f64 50/3 (pow.f64 i 2)))) |
(+.f64 100 (fma.f64 50 i (*.f64 50/3 (*.f64 i i)))) |
(+.f64 (fma.f64 50 i 100) (*.f64 i (*.f64 i 50/3))) |
(fma.f64 i (*.f64 i 50/3) (fma.f64 50 i 100)) |
(fma.f64 i (fma.f64 i 50/3 50) 100) |
(+.f64 100 (+.f64 (*.f64 50 i) (+.f64 (*.f64 25/6 (pow.f64 i 3)) (*.f64 50/3 (pow.f64 i 2))))) |
(+.f64 100 (fma.f64 50 i (fma.f64 25/6 (pow.f64 i 3) (*.f64 50/3 (*.f64 i i))))) |
(+.f64 (fma.f64 50 i 100) (fma.f64 25/6 (pow.f64 i 3) (*.f64 i (*.f64 i 50/3)))) |
(+.f64 100 (fma.f64 50 i (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6))))) |
(fma.f64 i (*.f64 i (fma.f64 i 25/6 50/3)) (fma.f64 50 i 100)) |
(fma.f64 (*.f64 i i) (fma.f64 i 25/6 50/3) (fma.f64 50 i 100)) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 100 (expm1.f64 i)) i) |
(*.f64 (expm1.f64 i) (/.f64 100 i)) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 100 (expm1.f64 i)) i) |
(*.f64 (expm1.f64 i) (/.f64 100 i)) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 100 (expm1.f64 i)) i) |
(*.f64 (expm1.f64 i) (/.f64 100 i)) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 100 (expm1.f64 i)) i) |
(*.f64 (expm1.f64 i) (/.f64 100 i)) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 100 (expm1.f64 i)) i) |
(*.f64 (expm1.f64 i) (/.f64 100 i)) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 100 (expm1.f64 i)) i) |
(*.f64 (expm1.f64 i) (/.f64 100 i)) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 100 (expm1.f64 i)) i) |
(*.f64 (expm1.f64 i) (/.f64 100 i)) |
(*.f64 100 (/.f64 (-.f64 (exp.f64 i) 1) i)) |
(*.f64 100 (/.f64 (expm1.f64 i) i)) |
(/.f64 (*.f64 100 (expm1.f64 i)) i) |
(*.f64 (expm1.f64 i) (/.f64 100 i)) |
(*.f64 100 n) |
(+.f64 (*.f64 50 (*.f64 n i)) (*.f64 100 n)) |
(fma.f64 50 (*.f64 i n) (*.f64 100 n)) |
(fma.f64 100 n (*.f64 50 (*.f64 i n))) |
(*.f64 n (fma.f64 50 i 100)) |
(*.f64 (fma.f64 50 i 100) n) |
(+.f64 (*.f64 50 (*.f64 n i)) (+.f64 (*.f64 50/3 (*.f64 n (pow.f64 i 2))) (*.f64 100 n))) |
(fma.f64 50 (*.f64 i n) (fma.f64 50/3 (*.f64 (*.f64 i i) n) (*.f64 100 n))) |
(fma.f64 50 (*.f64 i n) (fma.f64 100 n (*.f64 (*.f64 i (*.f64 i 50/3)) n))) |
(fma.f64 100 n (*.f64 n (*.f64 i (+.f64 50 (*.f64 i 50/3))))) |
(*.f64 n (fma.f64 i (fma.f64 i 50/3 50) 100)) |
(*.f64 (fma.f64 i (fma.f64 i 50/3 50) 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)))) |
(fma.f64 50 (*.f64 i n) (fma.f64 25/6 (*.f64 (pow.f64 i 3) n) (fma.f64 50/3 (*.f64 (*.f64 i i) n) (*.f64 100 n)))) |
(fma.f64 50 (*.f64 i n) (fma.f64 25/6 (*.f64 (pow.f64 i 3) n) (fma.f64 100 n (*.f64 (*.f64 i (*.f64 i 50/3)) n)))) |
(+.f64 (*.f64 n (fma.f64 50 i 100)) (*.f64 n (*.f64 (*.f64 i i) (+.f64 50/3 (*.f64 i 25/6))))) |
(*.f64 n (fma.f64 i (*.f64 i (fma.f64 i 25/6 50/3)) (fma.f64 50 i 100))) |
(*.f64 (fma.f64 (*.f64 i i) (fma.f64 i 25/6 50/3) (fma.f64 50 i 100)) n) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
(*.f64 100 (/.f64 (*.f64 n (-.f64 (exp.f64 i) 1)) i)) |
(*.f64 100 (/.f64 (*.f64 (expm1.f64 i) n) i)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 100 (*.f64 (expm1.f64 i) (/.f64 n i))) |
(*.f64 (expm1.f64 i) (*.f64 100 (/.f64 n i))) |
1 |
(+.f64 1 (*.f64 1/2 i)) |
(+.f64 1 (*.f64 i 1/2)) |
(fma.f64 i 1/2 1) |
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (*.f64 1/2 i))) |
(fma.f64 1/6 (*.f64 i i) (+.f64 1 (*.f64 i 1/2))) |
(fma.f64 (*.f64 i i) 1/6 (fma.f64 i 1/2 1)) |
(fma.f64 i 1/2 (fma.f64 i (*.f64 i 1/6) 1)) |
(fma.f64 i (fma.f64 i 1/6 1/2) 1) |
(+.f64 (*.f64 1/6 (pow.f64 i 2)) (+.f64 1 (+.f64 (*.f64 1/2 i) (*.f64 1/24 (pow.f64 i 3))))) |
(fma.f64 1/6 (*.f64 i i) (+.f64 1 (fma.f64 1/2 i (*.f64 (pow.f64 i 3) 1/24)))) |
(fma.f64 (*.f64 i i) 1/6 (+.f64 (fma.f64 i 1/2 1) (*.f64 (pow.f64 i 3) 1/24))) |
(fma.f64 i (*.f64 i 1/6) (fma.f64 (pow.f64 i 3) 1/24 (fma.f64 i 1/2 1))) |
(fma.f64 i (fma.f64 i 1/6 1/2) (fma.f64 (pow.f64 i 3) 1/24 1)) |
(fma.f64 (*.f64 i i) (fma.f64 i 1/24 1/6) (fma.f64 i 1/2 1)) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
(/.f64 (-.f64 (exp.f64 i) 1) i) |
(/.f64 (expm1.f64 i) i) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 1/100 n) |
| ✓ | 0.2b | (/.f64 1 (/.f64 1/100 n)) |
Compiled 13 to 10 computations (23.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | 0 | (/.f64 1/100 n) |
| 0.0ms | n | @ | -inf | (/.f64 1/100 n) |
| 0.0ms | n | @ | inf | (/.f64 1/100 n) |
| 0.0ms | n | @ | 0 | (/.f64 1 (/.f64 1/100 n)) |
| 0.0ms | n | @ | inf | (/.f64 1 (/.f64 1/100 n)) |
| 1× | batch-egg-rewrite |
| 548× | pow1_binary64 |
| 519× | add-log-exp_binary64 |
| 519× | log1p-expm1-u_binary64 |
| 519× | expm1-log1p-u_binary64 |
| 509× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 130 | 8 |
| 2 | 1507 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 1/100 n)) |
(/.f64 1/100 n) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 n 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n 100)) (pow.f64 (cbrt.f64 (*.f64 n 100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 n 100)) 2) (cbrt.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 10 (sqrt.f64 n)) (*.f64 10 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1/100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (pow.f64 (/.f64 1 n) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/100 n)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 1/100 n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/10 (sqrt.f64 n)) -1) (pow.f64 (/.f64 1/10 (sqrt.f64 n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -100 (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/100 n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) n))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n 100))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/100 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/100 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/100 (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/100 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/100 n)) (pow.f64 (cbrt.f64 (/.f64 1/100 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/100 n)) 2) (cbrt.f64 (/.f64 1/100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/10 (sqrt.f64 n)) (/.f64 1/10 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/100 (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) 1/100)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/100 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n 100) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/100 n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/100 n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/10 (sqrt.f64 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/10000 (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/100 n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/100 n))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1 | 5 | 48 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
| Outputs |
|---|
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 i (/.f64 1 n)) |
| ✓ | 14.2b | (*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n))) |
Compiled 26 to 17 computations (34.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | i | @ | -inf | (/.f64 i (/.f64 1 n)) |
| 0.0ms | n | @ | -inf | (/.f64 i (/.f64 1 n)) |
| 0.0ms | n | @ | inf | (/.f64 i (/.f64 1 n)) |
| 0.0ms | i | @ | 0 | (*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n))) |
| 0.0ms | i | @ | inf | (*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 478× | log-prod_binary64 |
| 414× | prod-exp_binary64 |
| 370× | exp-prod_binary64 |
| 328× | pow-prod-down_binary64 |
| 244× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 200 | 14 |
| 2 | 2676 | 8 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n))) |
(/.f64 i (/.f64 1 n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 100 n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 100) n)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 100) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) n))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 100) n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 100 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (*.f64 i (/.f64 1 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 (/.f64 i n) i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 i (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 i (*.f64 (*.f64 i 1/100) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 100 i) (/.f64 1 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 i 1/100) (/.f64 1 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 i n) (*.f64 100 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 i (*.f64 100 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 n) 100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 i n) (*.f64 i 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -100 (/.f64 -1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -100 (*.f64 (neg.f64 i) (/.f64 1 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -100 (*.f64 (/.f64 1 (*.f64 i n)) (neg.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 i) (*.f64 (*.f64 i 1/100) (/.f64 -1 n)))))) 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(cbrt.f64 (log.f64 (*.f64 100 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 100 n)))) (sqrt.f64 (log.f64 (*.f64 100 n))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 10000 (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 100 n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 100 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 100 n))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 100 n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 100 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 100 n)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 100 i)) 1) (neg.f64 (log.f64 (*.f64 i n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 i n)) 1) (log.f64 (*.f64 i 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 100 (*.f64 i n))) (*.f64 (log.f64 i) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 99) (*.f64 (log.f64 n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 99) (*.f64 (neg.f64 (log.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 100 i)) 1) (log.f64 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 100 i)) (*.f64 (log.f64 (*.f64 i n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 100 i)) 1) (*.f64 (log.f64 (*.f64 i n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 i n)) 1) (log.f64 (/.f64 100 i))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 i n)) (*.f64 (log.f64 (/.f64 100 i)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 i n)) 1) (*.f64 (log.f64 (/.f64 100 i)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 99) (*.f64 (log.f64 n) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 n) i)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) i))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 i n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 i n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 i n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 i n)) (pow.f64 (cbrt.f64 (*.f64 i n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 i n)) 2) (cbrt.f64 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 i) 2) (*.f64 (cbrt.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 i n)) (sqrt.f64 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (/.f64 i (pow.f64 n -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 i) (*.f64 (sqrt.f64 i) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) 1) (/.f64 (cbrt.f64 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) 1) (/.f64 (sqrt.f64 i) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 n -2))) (/.f64 i (/.f64 1 (cbrt.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (cbrt.f64 (pow.f64 n -2))) (cbrt.f64 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 i) (cbrt.f64 (pow.f64 n -2))) (/.f64 (sqrt.f64 i) (/.f64 1 (cbrt.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 i) 2) (pow.f64 n -1/2)) (/.f64 (cbrt.f64 i) (pow.f64 n -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 i -1) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 i (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 i n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i n) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 i n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 i n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 i n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 i n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 i 3) (pow.f64 n -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 i n)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 i 3) (pow.f64 n 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 n 3) (pow.f64 i 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 n) (cbrt.f64 i)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 n) (sqrt.f64 i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 i n))) 2)) (cbrt.f64 (log.f64 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 i n)))) (sqrt.f64 (log.f64 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 i (/.f64 -1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 i n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) i))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 i n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 i n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 i 3) (pow.f64 n -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 i n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 i n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 i n))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 i n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 i n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 i n))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 i n)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 i) 1) (neg.f64 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 i) (*.f64 (log.f64 n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 i) 1) (*.f64 (log.f64 n) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 i) (*.f64 (neg.f64 (log.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 i) 1) (*.f64 (neg.f64 (log.f64 n)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 i) 1) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 i) (*.f64 (log.f64 n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 i) 1) (*.f64 (log.f64 n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 n) 1) (log.f64 i)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 n) (*.f64 (log.f64 i) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 n) 1) (*.f64 (log.f64 i) 1))))))) |
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 192 |
| 1 | 8 | 192 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.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 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) |
| 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 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 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) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 29.5b | (sqrt.f64 (*.f64 n n)) |
Compiled 17 to 7 computations (58.8% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | n | @ | inf | (sqrt.f64 (*.f64 n n)) |
| 1.0ms | n | @ | 0 | (sqrt.f64 (*.f64 n n)) |
| 0.0ms | n | @ | -inf | (sqrt.f64 (*.f64 n n)) |
| 1× | batch-egg-rewrite |
| 393× | log1p-udef_binary64 |
| 281× | associate-*r*_binary64 |
| 269× | associate-*l*_binary64 |
| 262× | pow1_binary64 |
| 254× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 1 |
| 1 | 80 | 1 |
| 2 | 728 | 1 |
| 3 | 7510 | 1 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 n n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 n 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 n)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 n)) 2)) (log.f64 (cbrt.f64 (exp.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 n))) (log.f64 (sqrt.f64 (exp.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 n 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2) (*.f64 (cbrt.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n (cbrt.f64 n))) (cbrt.f64 (cbrt.f64 (pow.f64 n 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n (cbrt.f64 n))) (pow.f64 (cbrt.f64 (pow.f64 n 5)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n (cbrt.f64 n))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 n 8))) (cbrt.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n 1/6) (*.f64 (pow.f64 n 1/6) (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n 1/4) (sqrt.f64 (pow.f64 n 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n 1/4) (pow.f64 (pow.f64 n 3/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n 1/4) (*.f64 (pow.f64 n 1/4) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 n) (pow.f64 n 1/4)) (pow.f64 n 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 n 5/2)) (pow.f64 n 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 n 3/2)) (pow.f64 n 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 n 5))) (pow.f64 n 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 n 3/2) 1/2) (pow.f64 n 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 n 5)) 1/2) (pow.f64 n 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 n 8)) 1/3) (cbrt.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 n 5/2) 1/3) (pow.f64 n 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 n) (cbrt.f64 n)) (pow.f64 n 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 n) (cbrt.f64 (*.f64 n (cbrt.f64 n)))) (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2)) (cbrt.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 n 1/6)) (pow.f64 n 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 n 1) 3) 1) (+.f64 (*.f64 (+.f64 n 1) (+.f64 n 1)) (+.f64 1 (+.f64 n 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 n 1) (+.f64 n 1)) 1) (+.f64 (+.f64 n 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 n 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n n) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 n 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 n 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 n 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 n) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 n) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (*.f64 (log.f64 n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 n) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 n)) 2)) (cbrt.f64 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 n)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (+.f64 n 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 n 3))))) (#(struct:change #<rule egg-rr> (2) ((x . n)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 n) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 n)) 3)))))) |
| 1× | egg-herbie |
| 3× | sub-neg_binary64 |
| 2× | +-commutative_binary64 |
| 2× | fma-def_binary64 |
| 1× | *-commutative_binary64 |
| 1× | associate-+l-_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 20 |
| 1 | 6 | 20 |
| 2 | 8 | 20 |
| 3 | 9 | 20 |
| 4 | 11 | 20 |
| 5 | 15 | 20 |
| 6 | 19 | 20 |
| 7 | 24 | 20 |
| 1× | saturated |
| Inputs |
|---|
n |
n |
n |
n |
n |
n |
n |
n |
(*.f64 -1 n) |
(*.f64 -1 n) |
(*.f64 -1 n) |
(*.f64 -1 n) |
| Outputs |
|---|
n |
n |
n |
n |
n |
n |
n |
n |
(*.f64 -1 n) |
(neg.f64 n) |
(*.f64 -1 n) |
(neg.f64 n) |
(*.f64 -1 n) |
(neg.f64 n) |
(*.f64 -1 n) |
(neg.f64 n) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.7b | (exp.f64 (log.f64 (*.f64 n 100))) |
Compiled 16 to 12 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | n | @ | 0 | (exp.f64 (log.f64 (*.f64 n 100))) |
| 1.0ms | n | @ | inf | (exp.f64 (log.f64 (*.f64 n 100))) |
| 1.0ms | n | @ | -inf | (exp.f64 (log.f64 (*.f64 n 100))) |
| 1× | batch-egg-rewrite |
| 428× | pow1_binary64 |
| 415× | add-sqr-sqrt_binary64 |
| 407× | *-un-lft-identity_binary64 |
| 399× | add-log-exp_binary64 |
| 399× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 4 |
| 1 | 106 | 4 |
| 2 | 1084 | 4 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log.f64 (*.f64 n 100))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 n 100 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 n) 100)) (cbrt.f64 (pow.f64 (exp.f64 n) 100)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) 100))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) 100))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 n 100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 n 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 n 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n 100)) (cbrt.f64 (*.f64 10000 (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 10000 (*.f64 n n))) (cbrt.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 10 (sqrt.f64 n)) (*.f64 10 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n 100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n 100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n 100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (sqrt.f64 n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 n 100)))) (sqrt.f64 (log.f64 (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 n 100))) 2)) (cbrt.f64 (log.f64 (*.f64 n 100))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 10000 (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) 100))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n 100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n 100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n 100))))))) |
| 1× | egg-herbie |
| 1× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1 | 5 | 48 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
| Outputs |
|---|
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
(*.f64 100 n) |
Compiled 3722 to 2340 computations (37.1% saved)
47 alts after pruning (38 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 355 | 19 | 374 |
| Fresh | 8 | 19 | 27 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 8 | 11 |
| Total | 366 | 47 | 413 |
| Status | Error | Program |
|---|---|---|
| ✓ | 46.8b | (exp.f64 (log.f64 (*.f64 n 100))) |
| 26.7b | (+.f64 1 (fma.f64 n 100 -1)) | |
| 28.3b | (*.f64 100 (pow.f64 (cbrt.f64 n) 3)) | |
| ✓ | 16.5b | (/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) |
| 16.7b | (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) n) | |
| ✓ | 48.2b | (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
| 32.7b | (/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100))) | |
| 16.7b | (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)) n) | |
| 54.3b | (-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) | |
| 47.3b | (*.f64 (/.f64 100 i) (exp.f64 (log.f64 (*.f64 i n)))) | |
| ✓ | 27.8b | (/.f64 1 (/.f64 1/100 n)) |
| 14.9b | (*.f64 (/.f64 (expm1.f64 i) i) (/.f64 100 (/.f64 1 n))) | |
| 35.3b | (/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i)) | |
| 35.3b | (/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100))) | |
| 32.4b | (*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n)))) | |
| 27.8b | (/.f64 100 (/.f64 1 n)) | |
| 14.9b | (*.f64 (*.f64 100 (*.f64 (/.f64 1 i) (expm1.f64 i))) n) | |
| 28.9b | (*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100)) | |
| 51.8b | (/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1)) | |
| 35.5b | (/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100))) | |
| 26.8b | (*.f64 100 (-.f64 (+.f64 n 1) 1)) | |
| 28.0b | (+.f64 (*.f64 i -50) (*.f64 100 n)) | |
| 32.7b | (/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i)) | |
| 28.3b | (*.f64 (+.f64 100 (*.f64 50 i)) n) | |
| 31.3b | (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) | |
| 27.9b | (/.f64 1 (*.f64 (/.f64 1 n) 1/100)) | |
| ✓ | 35.2b | (/.f64 (*.f64 i 100) (/.f64 i n)) |
| 32.1b | (*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n)))) | |
| 18.9b | (/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) | |
| 37.5b | (*.f64 i (*.f64 100 (/.f64 n i))) | |
| ✓ | 48.1b | (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
| 18.3b | (*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) | |
| 32.2b | (/.f64 (*.f64 i n) (*.f64 i 1/100)) | |
| 62.5b | (*.f64 100 (neg.f64 n)) | |
| 18.3b | (*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) | |
| 37.2b | (*.f64 100 (*.f64 (/.f64 n i) i)) | |
| 14.8b | (*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n) | |
| ✓ | 48.0b | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 36.6b | (*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n)))) | |
| 17.7b | (/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) | |
| 53.3b | (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) -1/100)) (*.f64 (*.f64 (/.f64 i n) 1/100) -1)) (*.f64 (*.f64 (/.f64 i n) 1/100) (*.f64 (/.f64 i n) -1/100))) | |
| ✓ | 27.7b | (*.f64 n 100) |
| 32.4b | (*.f64 (/.f64 100 i) (*.f64 n i)) | |
| 51.5b | (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) | |
| 46.6b | (/.f64 1 (sqrt.f64 (/.f64 1/10000 (*.f64 n n)))) | |
| ✓ | 27.4b | (/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) |
| 16.8b | (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (/.f64 100 (/.f64 1 n))) |
Compiled 588 to 424 computations (27.9% saved)
| Inputs |
|---|
(*.f64 n 100) |
(*.f64 100 (neg.f64 n)) |
(/.f64 1 (/.f64 1/100 n)) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
(*.f64 (+.f64 100 (*.f64 50 i)) n) |
(/.f64 1 (*.f64 (/.f64 1 n) 1/100)) |
(/.f64 (*.f64 i n) (*.f64 i 1/100)) |
(*.f64 (/.f64 100 i) (*.f64 n i)) |
(*.f64 100 (-.f64 (+.f64 1 n) 1)) |
(*.f64 i (*.f64 100 (/.f64 n i))) |
(*.f64 100 (*.f64 (/.f64 n i) i)) |
(*.f64 (/.f64 n i) (*.f64 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(/.f64 (*.f64 i 100) (/.f64 i n)) |
(+.f64 (*.f64 i -50) (*.f64 100 n)) |
(*.f64 (/.f64 n i) (*.f64 100 i)) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1)) |
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100))) |
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i)) |
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100))) |
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n))) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i)) |
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100))) |
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n)))) |
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n)))) |
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n))) |
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n)))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(+.f64 1 (fma.f64 n 100 -1)) |
(*.f64 100 (sqrt.f64 (*.f64 n n))) |
(*.f64 100 (pow.f64 (/.f64 1 n) -1)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n) |
(/.f64 1 (sqrt.f64 (/.f64 1/10000 (*.f64 n n)))) |
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) |
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100)) |
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) |
(*.f64 (*.f64 100 (*.f64 (/.f64 1 i) (expm1.f64 i))) n) |
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 100 (/.f64 1 n))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n)) |
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) |
(/.f64 (*.f64 (expm1.f64 (*.f64 n (/.f64 i n))) 100) (/.f64 i n)) |
(fma.f64 n 100 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100)) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) -1/100)) (*.f64 (*.f64 (/.f64 i n) 1/100) -1)) (*.f64 (*.f64 (/.f64 i n) 1/100) (*.f64 (/.f64 i n) -1/100))) |
(exp.f64 (log.f64 (*.f64 n 100))) |
(*.f64 100 (pow.f64 (cbrt.f64 n) 3)) |
(*.f64 100 (pow.f64 (cbrt.f64 n) 3)) |
(*.f64 (/.f64 100 i) (exp.f64 (log.f64 (*.f64 i n)))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) n) |
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)) n) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) |
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n) |
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) |
(/.f64 100 (/.f64 i (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) n))) |
(*.f64 100 (*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) n)) |
(/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) (/.f64 i n)) |
(*.f64 (/.f64 n i) (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) i) (/.f64 100 (/.f64 1 n))) |
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100))) |
(/.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) (/.f64 1 n)) |
(+.f64 0 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100))) |
(pow.f64 (*.f64 1/100 (/.f64 (/.f64 i n) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) -1) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 n i))) 10) 2) |
(cbrt.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 (/.f64 n i) 100)) 3)) |
| Outputs |
|---|
(/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
4 calls:
| 171.0ms | i |
| 120.0ms | n |
| 28.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 24.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| Error | Segments | Branch |
|---|---|---|
| 5.2b | 4 | i |
| 4.2b | 3 | n |
| 0.2b | 3 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 0.2b | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 916 to 497 computations (45.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6494657860.045693 | NaN |
| 0.0ms | 0.0 | 8.784133440664712e-234 |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
(*.f64 n 100) |
(*.f64 100 (neg.f64 n)) |
(/.f64 1 (/.f64 1/100 n)) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
(*.f64 (+.f64 100 (*.f64 50 i)) n) |
(/.f64 1 (*.f64 (/.f64 1 n) 1/100)) |
(/.f64 (*.f64 i n) (*.f64 i 1/100)) |
(*.f64 (/.f64 100 i) (*.f64 n i)) |
(*.f64 100 (-.f64 (+.f64 1 n) 1)) |
(*.f64 i (*.f64 100 (/.f64 n i))) |
(*.f64 100 (*.f64 (/.f64 n i) i)) |
(*.f64 (/.f64 n i) (*.f64 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(/.f64 (*.f64 i 100) (/.f64 i n)) |
(+.f64 (*.f64 i -50) (*.f64 100 n)) |
(*.f64 (/.f64 n i) (*.f64 100 i)) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1)) |
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100))) |
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i)) |
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100))) |
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n))) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i)) |
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100))) |
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n)))) |
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n)))) |
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n))) |
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n)))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(+.f64 1 (fma.f64 n 100 -1)) |
(*.f64 100 (sqrt.f64 (*.f64 n n))) |
(*.f64 100 (pow.f64 (/.f64 1 n) -1)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n) |
(/.f64 1 (sqrt.f64 (/.f64 1/10000 (*.f64 n n)))) |
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) |
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100)) |
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) |
(*.f64 (*.f64 100 (*.f64 (/.f64 1 i) (expm1.f64 i))) n) |
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 100 (/.f64 1 n))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n)) |
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) |
(/.f64 (*.f64 (expm1.f64 (*.f64 n (/.f64 i n))) 100) (/.f64 i n)) |
(fma.f64 n 100 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100)) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) -1/100)) (*.f64 (*.f64 (/.f64 i n) 1/100) -1)) (*.f64 (*.f64 (/.f64 i n) 1/100) (*.f64 (/.f64 i n) -1/100))) |
(exp.f64 (log.f64 (*.f64 n 100))) |
(*.f64 100 (pow.f64 (cbrt.f64 n) 3)) |
(*.f64 100 (pow.f64 (cbrt.f64 n) 3)) |
(*.f64 (/.f64 100 i) (exp.f64 (log.f64 (*.f64 i n)))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) n) |
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (*.f64 i 1/100)) n) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n))))) 100) |
(*.f64 (/.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) (/.f64 i 100)) n) |
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100)) |
(*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) n) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
4 calls:
| 130.0ms | i |
| 104.0ms | n |
| 23.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 22.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| Error | Segments | Branch |
|---|---|---|
| 5.4b | 4 | i |
| 4.3b | 3 | n |
| 0.9b | 3 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 0.9b | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 742 to 434 computations (41.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6494657860.045693 | NaN |
| 0.0ms | 0.0 | 8.784133440664712e-234 |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
(*.f64 n 100) |
(*.f64 100 (neg.f64 n)) |
(/.f64 1 (/.f64 1/100 n)) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
(*.f64 (+.f64 100 (*.f64 50 i)) n) |
(/.f64 1 (*.f64 (/.f64 1 n) 1/100)) |
(/.f64 (*.f64 i n) (*.f64 i 1/100)) |
(*.f64 (/.f64 100 i) (*.f64 n i)) |
(*.f64 100 (-.f64 (+.f64 1 n) 1)) |
(*.f64 i (*.f64 100 (/.f64 n i))) |
(*.f64 100 (*.f64 (/.f64 n i) i)) |
(*.f64 (/.f64 n i) (*.f64 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(/.f64 (*.f64 i 100) (/.f64 i n)) |
(+.f64 (*.f64 i -50) (*.f64 100 n)) |
(*.f64 (/.f64 n i) (*.f64 100 i)) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1)) |
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100))) |
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i)) |
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100))) |
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n))) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i)) |
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100))) |
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n)))) |
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n)))) |
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n))) |
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n)))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(+.f64 1 (fma.f64 n 100 -1)) |
(*.f64 100 (sqrt.f64 (*.f64 n n))) |
(*.f64 100 (pow.f64 (/.f64 1 n) -1)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n) |
(/.f64 1 (sqrt.f64 (/.f64 1/10000 (*.f64 n n)))) |
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) |
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100)) |
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) |
(*.f64 (*.f64 100 (*.f64 (/.f64 1 i) (expm1.f64 i))) n) |
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 100 (/.f64 1 n))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n)) |
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) |
(/.f64 (*.f64 (expm1.f64 (*.f64 n (/.f64 i n))) 100) (/.f64 i n)) |
(fma.f64 n 100 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100)) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
(/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (/.f64 i n) 1) n) (*.f64 (/.f64 i n) -1/100)) (*.f64 (*.f64 (/.f64 i n) 1/100) -1)) (*.f64 (*.f64 (/.f64 i n) 1/100) (*.f64 (/.f64 i n) -1/100))) |
(exp.f64 (log.f64 (*.f64 n 100))) |
(*.f64 100 (pow.f64 (cbrt.f64 n) 3)) |
(*.f64 100 (pow.f64 (cbrt.f64 n) 3)) |
(*.f64 (/.f64 100 i) (exp.f64 (log.f64 (*.f64 i n)))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n) |
(/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) |
(/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) |
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) |
4 calls:
| 194.0ms | i |
| 152.0ms | n |
| 20.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 18.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| Error | Segments | Branch |
|---|---|---|
| 9.3b | 3 | i |
| 8.6b | 5 | n |
| 10.7b | 3 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 10.7b | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 664 to 411 computations (38.1% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 220.0ms | 6.041019261882009e-30 | 1.3375844714274135e-25 |
| 81.0ms | -2.215520233747318e-232 | -3.107425722672403e-236 |
| 274.0ms | -6.90478987052218e-155 | -9.301686591535009e-169 |
| 1.4s | -7.698737125551297e-5 | -3.2740221120503304e-9 |
Compiled 1110 to 831 computations (25.1% saved)
| Inputs |
|---|
(*.f64 n 100) |
(*.f64 100 (neg.f64 n)) |
(/.f64 1 (/.f64 1/100 n)) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
(*.f64 (+.f64 100 (*.f64 50 i)) n) |
(/.f64 1 (*.f64 (/.f64 1 n) 1/100)) |
(/.f64 (*.f64 i n) (*.f64 i 1/100)) |
(*.f64 (/.f64 100 i) (*.f64 n i)) |
(*.f64 100 (-.f64 (+.f64 1 n) 1)) |
(*.f64 i (*.f64 100 (/.f64 n i))) |
(*.f64 100 (*.f64 (/.f64 n i) i)) |
(*.f64 (/.f64 n i) (*.f64 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(/.f64 (*.f64 i 100) (/.f64 i n)) |
(+.f64 (*.f64 i -50) (*.f64 100 n)) |
(*.f64 (/.f64 n i) (*.f64 100 i)) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1)) |
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100))) |
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i)) |
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100))) |
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n))) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i)) |
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100))) |
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n)))) |
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n)))) |
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n))) |
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n)))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(+.f64 1 (fma.f64 n 100 -1)) |
(*.f64 100 (sqrt.f64 (*.f64 n n))) |
(*.f64 100 (pow.f64 (/.f64 1 n) -1)) |
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n) |
(/.f64 1 (sqrt.f64 (/.f64 1/10000 (*.f64 n n)))) |
(*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n) |
(*.f64 (/.f64 n i) (*.f64 (expm1.f64 i) 100)) |
(/.f64 (*.f64 (expm1.f64 i) 100) (/.f64 i n)) |
(*.f64 100 (/.f64 (expm1.f64 i) (/.f64 i n))) |
(*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) |
(*.f64 (*.f64 100 (*.f64 (/.f64 1 i) (expm1.f64 i))) n) |
(*.f64 (/.f64 (expm1.f64 i) i) (/.f64 100 (/.f64 1 n))) |
(*.f64 (/.f64 (*.f64 (expm1.f64 i) 100) (neg.f64 i)) (neg.f64 n)) |
(/.f64 (*.f64 n (-.f64 (*.f64 100 (exp.f64 i)) 100)) i) |
(/.f64 (*.f64 (expm1.f64 (*.f64 n (/.f64 i n))) 100) (/.f64 i n)) |
(fma.f64 n 100 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/2 n)) (*.f64 n i)) 100)) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) |
(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) |
4 calls:
| 503.0ms | i |
| 114.0ms | n |
| 20.0ms | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
| 18.0ms | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| Error | Segments | Branch |
|---|---|---|
| 10.2b | 3 | i |
| 10.4b | 4 | n |
| 10.7b | 3 | (*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))) |
| 10.7b | 3 | (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) |
Compiled 566 to 353 computations (37.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 267.0ms | 1.0845619322461194e-7 | 16526384358106.844 |
| 815.0ms | -1.4341093182620273e-177 | -4.161158220670075e-193 |
Compiled 374 to 301 computations (19.5% saved)
| Inputs |
|---|
(*.f64 n 100) |
(*.f64 100 (neg.f64 n)) |
(/.f64 1 (/.f64 1/100 n)) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
(*.f64 (+.f64 100 (*.f64 50 i)) n) |
(/.f64 1 (*.f64 (/.f64 1 n) 1/100)) |
(/.f64 (*.f64 i n) (*.f64 i 1/100)) |
(*.f64 (/.f64 100 i) (*.f64 n i)) |
(*.f64 100 (-.f64 (+.f64 1 n) 1)) |
(*.f64 i (*.f64 100 (/.f64 n i))) |
(*.f64 100 (*.f64 (/.f64 n i) i)) |
(*.f64 (/.f64 n i) (*.f64 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(/.f64 (*.f64 i 100) (/.f64 i n)) |
(+.f64 (*.f64 i -50) (*.f64 100 n)) |
(*.f64 (/.f64 n i) (*.f64 100 i)) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1)) |
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100))) |
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i)) |
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100))) |
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n))) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i)) |
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100))) |
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n)))) |
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n)))) |
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n))) |
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n)))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(+.f64 1 (fma.f64 n 100 -1)) |
(*.f64 100 (sqrt.f64 (*.f64 n n))) |
(*.f64 100 (pow.f64 (/.f64 1 n) -1)) |
| Outputs |
|---|
(+.f64 1 (fma.f64 n 100 -1)) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) |
2 calls:
| 338.0ms | n |
| 186.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 18.5b | 3 | i |
| 20.2b | 6 | n |
Compiled 374 to 251 computations (32.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 82.0ms | 1.0845619322461194e-7 | 16526384358106.844 |
| 724.0ms | -9.802725730192604e-98 | -2.994814124047714e-98 |
Compiled 519 to 421 computations (18.9% saved)
| Inputs |
|---|
(*.f64 n 100) |
(*.f64 100 (neg.f64 n)) |
(/.f64 1 (/.f64 1/100 n)) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
(*.f64 (+.f64 100 (*.f64 50 i)) n) |
(/.f64 1 (*.f64 (/.f64 1 n) 1/100)) |
(/.f64 (*.f64 i n) (*.f64 i 1/100)) |
(*.f64 (/.f64 100 i) (*.f64 n i)) |
(*.f64 100 (-.f64 (+.f64 1 n) 1)) |
(*.f64 i (*.f64 100 (/.f64 n i))) |
(*.f64 100 (*.f64 (/.f64 n i) i)) |
(*.f64 (/.f64 n i) (*.f64 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(/.f64 (*.f64 i 100) (/.f64 i n)) |
(+.f64 (*.f64 i -50) (*.f64 100 n)) |
(*.f64 (/.f64 n i) (*.f64 100 i)) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1)) |
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100))) |
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i)) |
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100))) |
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n))) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i)) |
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100))) |
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n)))) |
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n)))) |
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n))) |
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n)))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 (*.f64 (+.f64 (/.f64 1/3 (*.f64 n n)) (+.f64 1/6 (/.f64 -1/2 n))) i) (+.f64 1/2 (/.f64 -1/2 n))))))) |
| Outputs |
|---|
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
(+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) |
2 calls:
| 100.0ms | n |
| 55.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 18.5b | 3 | i |
| 20.2b | 6 | n |
Compiled 355 to 237 computations (33.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 134.0ms | 1.0845619322461194e-7 | 16526384358106.844 |
| 605.0ms | -9.802725730192604e-98 | -2.994814124047714e-98 |
Compiled 524 to 426 computations (18.7% saved)
| Inputs |
|---|
(*.f64 n 100) |
(*.f64 100 (neg.f64 n)) |
(/.f64 1 (/.f64 1/100 n)) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
(*.f64 (+.f64 100 (*.f64 50 i)) n) |
(/.f64 1 (*.f64 (/.f64 1 n) 1/100)) |
(/.f64 (*.f64 i n) (*.f64 i 1/100)) |
(*.f64 (/.f64 100 i) (*.f64 n i)) |
(*.f64 100 (-.f64 (+.f64 1 n) 1)) |
(*.f64 i (*.f64 100 (/.f64 n i))) |
(*.f64 100 (*.f64 (/.f64 n i) i)) |
(*.f64 (/.f64 n i) (*.f64 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(/.f64 (*.f64 i 100) (/.f64 i n)) |
(+.f64 (*.f64 i -50) (*.f64 100 n)) |
(*.f64 (/.f64 n i) (*.f64 100 i)) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1)) |
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100))) |
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i)) |
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100))) |
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n))) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i)) |
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100))) |
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n)))) |
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n)))) |
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n))) |
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n)))) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(-.f64 (/.f64 (+.f64 i 1) (*.f64 (/.f64 i n) 1/100)) (/.f64 1 (*.f64 (/.f64 i n) 1/100))) |
| Outputs |
|---|
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
(*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) |
2 calls:
| 84.0ms | n |
| 43.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 18.5b | 3 | i |
| 20.2b | 6 | n |
Compiled 284 to 187 computations (34.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 79.0ms | 1.0845619322461194e-7 | 16526384358106.844 |
| 333.0ms | -9.802725730192604e-98 | -2.994814124047714e-98 |
Compiled 492 to 394 computations (19.9% saved)
| Inputs |
|---|
(*.f64 n 100) |
(*.f64 100 (neg.f64 n)) |
(/.f64 1 (/.f64 1/100 n)) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
(*.f64 (+.f64 100 (*.f64 50 i)) n) |
(/.f64 1 (*.f64 (/.f64 1 n) 1/100)) |
(/.f64 (*.f64 i n) (*.f64 i 1/100)) |
(*.f64 (/.f64 100 i) (*.f64 n i)) |
(*.f64 100 (-.f64 (+.f64 1 n) 1)) |
(*.f64 i (*.f64 100 (/.f64 n i))) |
(*.f64 100 (*.f64 (/.f64 n i) i)) |
(*.f64 (/.f64 n i) (*.f64 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(/.f64 (*.f64 i 100) (/.f64 i n)) |
(+.f64 (*.f64 i -50) (*.f64 100 n)) |
(*.f64 (/.f64 n i) (*.f64 100 i)) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1)) |
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100))) |
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i)) |
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100))) |
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n))) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) |
(*.f64 100 (/.f64 (-.f64 1 1) (/.f64 i n))) |
(/.f64 (*.f64 (neg.f64 i) 100) (*.f64 (/.f64 -1 n) i)) |
(/.f64 1 (*.f64 (/.f64 1 (*.f64 i n)) (*.f64 i 1/100))) |
(*.f64 100 (*.f64 (/.f64 1 i) (/.f64 i (/.f64 1 n)))) |
(*.f64 100 (*.f64 (neg.f64 i) (/.f64 1 (/.f64 (neg.f64 i) n)))) |
(*.f64 (/.f64 1 i) (/.f64 (*.f64 i 100) (/.f64 1 n))) |
(*.f64 (/.f64 100 i) (*.f64 (neg.f64 i) (/.f64 1 (/.f64 -1 n)))) |
| Outputs |
|---|
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
(*.f64 (+.f64 100 (*.f64 50 i)) n) |
(*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)) |
2 calls:
| 74.0ms | n |
| 38.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 18.6b | 3 | i |
| 20.2b | 6 | n |
Compiled 252 to 166 computations (34.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 77.0ms | 1.0845619322461194e-7 | 16526384358106.844 |
| 331.0ms | -9.802725730192604e-98 | -2.994814124047714e-98 |
Compiled 364 to 298 computations (18.1% saved)
| Inputs |
|---|
(*.f64 n 100) |
(*.f64 100 (neg.f64 n)) |
(/.f64 1 (/.f64 1/100 n)) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
(*.f64 (+.f64 100 (*.f64 50 i)) n) |
(/.f64 1 (*.f64 (/.f64 1 n) 1/100)) |
(/.f64 (*.f64 i n) (*.f64 i 1/100)) |
(*.f64 (/.f64 100 i) (*.f64 n i)) |
(*.f64 100 (-.f64 (+.f64 1 n) 1)) |
(*.f64 i (*.f64 100 (/.f64 n i))) |
(*.f64 100 (*.f64 (/.f64 n i) i)) |
(*.f64 (/.f64 n i) (*.f64 i 100)) |
(*.f64 n (+.f64 100 (*.f64 50 i))) |
(/.f64 (*.f64 i 100) (/.f64 i n)) |
(+.f64 (*.f64 i -50) (*.f64 100 n)) |
(*.f64 (/.f64 n i) (*.f64 100 i)) |
(*.f64 100 (/.f64 i (/.f64 i n))) |
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1/100 n)) 1)) |
(/.f64 i (*.f64 (/.f64 1 n) (*.f64 i 1/100))) |
(/.f64 100 (*.f64 (/.f64 1 (*.f64 i n)) i)) |
(/.f64 1 (/.f64 (/.f64 i n) (*.f64 i 100))) |
(*.f64 (/.f64 100 i) (/.f64 i (/.f64 1 n))) |
| Outputs |
|---|
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
(*.f64 (+.f64 100 (*.f64 50 i)) n) |
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
2 calls:
| 151.0ms | i |
| 64.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 18.7b | 3 | i |
| 20.2b | 6 | n |
Compiled 168 to 110 computations (34.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 252.0ms | 1.0845619322461194e-7 | 16526384358106.844 |
| 356.0ms | -9.802725730192604e-98 | -2.994814124047714e-98 |
Compiled 342 to 287 computations (16.1% saved)
| Inputs |
|---|
(*.f64 n 100) |
(*.f64 100 (neg.f64 n)) |
(/.f64 1 (/.f64 1/100 n)) |
(/.f64 100 (/.f64 1 n)) |
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
| Outputs |
|---|
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
(*.f64 n 100) |
(*.f64 100 (-.f64 (+.f64 n 1) 1)) |
2 calls:
| 49.0ms | n |
| 18.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 18.8b | 3 | i |
| 22.5b | 3 | n |
Compiled 32 to 25 computations (21.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 335.0ms | 1.245466140336405e-31 | 1.4024026877503424e-23 |
| 372.0ms | -9.802725730192604e-98 | -2.994814124047714e-98 |
Compiled 246 to 211 computations (14.2% saved)
Total -34.9b remaining (-126.1%)
Threshold costs -34.9b (-126.1%)
| Inputs |
|---|
(*.f64 n 100) |
(*.f64 100 (neg.f64 n)) |
(/.f64 1 (/.f64 1/100 n)) |
(/.f64 100 (/.f64 1 n)) |
| Outputs |
|---|
(*.f64 n 100) |
2 calls:
| 4.0ms | n |
| 4.0ms | i |
| Error | Segments | Branch |
|---|---|---|
| 27.7b | 1 | i |
| 27.7b | 1 | n |
Compiled 25 to 19 computations (24% saved)
| 1× | egg-herbie |
| 26× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 646 |
| 1 | 151 | 646 |
| 2 | 165 | 646 |
| 3 | 172 | 646 |
| 4 | 176 | 646 |
| 5 | 177 | 646 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 41943040000000000/4194304) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) (*.f64 100 (-.f64 (+.f64 n 1) 1)))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) n) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 41943040000000000/4194304) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) (*.f64 100 (-.f64 (+.f64 n 1) 1)))) |
(if (<=.f64 n -5534023222112865/73786976294838206464) (*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n) (if (<=.f64 n -2018324372703715/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) (if (<=.f64 n -6300558862064491520/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) (if (<=.f64 n 9061310151451597824/1461501637330902918203684832716283019655932542976) (/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n))))) |
(if (<=.f64 i -6543038603749149/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)))) |
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (+.f64 1 (fma.f64 n 100 -1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)))) |
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)))) |
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 16500000000000) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)))) |
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 16500000000000) (*.f64 (+.f64 100 (*.f64 50 i)) n) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)))) |
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 519460313115661/4722366482869645213696) (*.f64 (+.f64 100 (*.f64 50 i)) n) (*.f64 100 (-.f64 (+.f64 n 1) 1)))) |
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 182687704666362880/1461501637330902918203684832716283019655932542976) (*.f64 n 100) (*.f64 100 (-.f64 (+.f64 n 1) 1)))) |
(*.f64 n 100) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 41943040000000000/4194304) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) (*.f64 100 (-.f64 (+.f64 n 1) 1)))) |
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 0) (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) (/.f64 i n)) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 10000000000) (*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100)) (*.f64 100 (+.f64 (+.f64 1 n) -1)))) |
(if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 0) (*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i) n) (if (<=.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)) 41943040000000000/4194304) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n)) -100)) (*.f64 100 (-.f64 (+.f64 n 1) 1)))) |
(if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 0) (*.f64 n (/.f64 (*.f64 (expm1.f64 (*.f64 n (log1p.f64 (/.f64 i n)))) 100) i)) (if (<=.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 10000000000) (*.f64 (/.f64 n i) (+.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100) -100)) (*.f64 100 (+.f64 (+.f64 1 n) -1)))) |
(if (<=.f64 n -5534023222112865/73786976294838206464) (*.f64 (/.f64 (*.f64 100 (expm1.f64 i)) i) n) (if (<=.f64 n -2018324372703715/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) (if (<=.f64 n -6300558862064491520/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (*.f64 (*.f64 (/.f64 n i) (expm1.f64 i)) 100) (if (<=.f64 n 9061310151451597824/1461501637330902918203684832716283019655932542976) (/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) (*.f64 (*.f64 100 (/.f64 (expm1.f64 i) i)) n))))) |
(if (<=.f64 n -5534023222112865/73786976294838206464) (*.f64 n (/.f64 (*.f64 100 (expm1.f64 i)) i)) (if (<=.f64 n -2018324372703715/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) (if (<=.f64 n -6152889513734855/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) (if (<=.f64 n 8848935694776951/1427247692705959881058285969449495136382746624) (/.f64 1 (fma.f64 1/100 (*.f64 i (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (/.f64 1/100 n))) (*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i))))))) |
(if (<=.f64 n -5534023222112865/73786976294838206464) (*.f64 n (/.f64 (*.f64 100 (expm1.f64 i)) i)) (if (<=.f64 n -2018324372703715/2124551971267068394758352826209874509318372470908127692797776552801614239443408970956650009060917142675557317944986004061386317350610828957638079915066349407775325083341572876126912512) (/.f64 1 (fma.f64 1/100 (*.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 1/100 n))) (if (<=.f64 n -6152889513734855/27967679607885704301190218685229334463595448410322902860782665724913148442727445468110629165844363647880233895721679414135153184333079469434028345743715409785657103816385949318619923106913065211176796883038813718238213431256579671499373815533666304) (*.f64 100 (*.f64 (/.f64 n i) (expm1.f64 i))) (if (<=.f64 n 8848935694776951/1427247692705959881058285969449495136382746624) (/.f64 1 (fma.f64 1/100 (*.f64 i (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 1/100 n))) (*.f64 n (*.f64 100 (/.f64 (expm1.f64 i) i))))))) |
(if (<=.f64 i -6543038603749149/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (*.f64 (*.f64 100 (expm1.f64 i)) n) i) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)))) |
(if (<=.f64 i -6543038603749149/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (*.f64 n (*.f64 100 (expm1.f64 i))) i) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 -1/2 (/.f64 1 n)))))) (*.f64 n 100)) (*.f64 0 (/.f64 n i)))) |
(if (<=.f64 i -6543038603749149/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776) (/.f64 (*.f64 n (*.f64 100 (expm1.f64 i))) i) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 (/.f64 1 n) -1/2))))) (*.f64 n 100)) (*.f64 0 (/.f64 n i)))) |
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (+.f64 1 (fma.f64 n 100 -1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)))) |
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (+.f64 1 (fma.f64 n 100 -1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 -1/2 (/.f64 1 n)))))) (*.f64 n 100)) (*.f64 0 (/.f64 n i)))) |
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (+.f64 1 (fma.f64 n 100 -1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 (/.f64 1 n) -1/2))))) (*.f64 n 100)) (*.f64 0 (/.f64 n i)))) |
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n)))))) (*.f64 100 n)) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)))) |
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (*.f64 100 (+.f64 (+.f64 1 n) -1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 -1/2 (/.f64 1 n)))))) (*.f64 n 100)) (*.f64 0 (/.f64 n i)))) |
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (*.f64 100 (+.f64 (+.f64 1 n) -1)) (if (<=.f64 i 16500000000000) (+.f64 (*.f64 100 (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 (/.f64 1 n) -1/2))))) (*.f64 n 100)) (*.f64 0 (/.f64 n i)))) |
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 16500000000000) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (-.f64 1/2 (*.f64 1/2 (/.f64 1 n))))))) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)))) |
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (*.f64 100 (+.f64 (+.f64 1 n) -1)) (if (<=.f64 i 16500000000000) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 -1/2 (/.f64 1 n))))))) (*.f64 0 (/.f64 n i)))) |
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (*.f64 100 (+.f64 (+.f64 1 n) -1)) (if (<=.f64 i 16500000000000) (*.f64 100 (+.f64 n (*.f64 n (*.f64 i (+.f64 1/2 (*.f64 (/.f64 1 n) -1/2)))))) (*.f64 0 (/.f64 n i)))) |
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 16500000000000) (*.f64 (+.f64 100 (*.f64 50 i)) n) (*.f64 (/.f64 n i) (+.f64 (*.f64 100 1) -100)))) |
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (*.f64 100 (+.f64 (+.f64 1 n) -1)) (if (<=.f64 i 16500000000000) (*.f64 n (+.f64 100 (*.f64 i 50))) (*.f64 0 (/.f64 n i)))) |
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 519460313115661/4722366482869645213696) (*.f64 (+.f64 100 (*.f64 50 i)) n) (*.f64 100 (-.f64 (+.f64 n 1) 1)))) |
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (*.f64 100 (+.f64 (+.f64 1 n) -1)) (if (<=.f64 i 519460313115661/4722366482869645213696) (*.f64 n (+.f64 100 (*.f64 i 50))) (*.f64 100 (+.f64 (+.f64 1 n) -1)))) |
(if (<=.f64 i -3782592594853870080/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (*.f64 100 (-.f64 (+.f64 n 1) 1)) (if (<=.f64 i 182687704666362880/1461501637330902918203684832716283019655932542976) (*.f64 n 100) (*.f64 100 (-.f64 (+.f64 n 1) 1)))) |
(if (<=.f64 i -7387876161823965/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (*.f64 100 (+.f64 (+.f64 1 n) -1)) (if (<=.f64 i 178405961588245/1427247692705959881058285969449495136382746624) (*.f64 n 100) (*.f64 100 (+.f64 (+.f64 1 n) -1)))) |
(*.f64 n 100) |
Compiled 462 to 326 computations (29.4% saved)
| 1× | egg-herbie |
| 701× | fma-def_binary64 |
| 561× | associate-/r/_binary64 |
| 483× | associate-/r*_binary64 |
| 476× | associate-*l/_binary64 |
| 408× | associate-/l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 22 |
| 1 | 29 | 22 |
| 2 | 68 | 20 |
| 3 | 172 | 20 |
| 4 | 531 | 20 |
| 5 | 2393 | 20 |
| 6 | 7263 | 20 |
| 1× | node limit |
Compiled 247 to 176 computations (28.7% saved)
Compiled 442 to 294 computations (33.5% saved)
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