Time bar (total: 6.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 23.7% | 76.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 23.7% | 76.3% | 0% | 0% | 0% | 1 |
| 50% | 11.9% | 11.9% | 76.3% | 0% | 0% | 0% | 2 |
| 75% | 17.8% | 5.9% | 76.3% | 0% | 0% | 0% | 3 |
| 87.5% | 20.8% | 3% | 76.3% | 0% | 0% | 0% | 4 |
| 93.8% | 22.2% | 1.5% | 76.3% | 0% | 0% | 0% | 5 |
| 96.9% | 23% | 0.7% | 76.3% | 0% | 0% | 0% | 6 |
| 98.4% | 23.3% | 0.4% | 76.3% | 0% | 0% | 0% | 7 |
| 98.4% | 23.3% | 0.4% | 76.3% | 0% | 0% | 0% | 8 |
| 98.8% | 23.4% | 0.3% | 76.3% | 0% | 0% | 0% | 9 |
| 99% | 23.5% | 0.2% | 76.3% | 0% | 0% | 0% | 10 |
| 99.1% | 23.5% | 0.2% | 76.3% | 0% | 0% | 0% | 11 |
| 99.2% | 23.5% | 0.2% | 76.3% | 0% | 0% | 0% | 12 |
Compiled 19 to 14 computations (26.3% saved)
| 2.1s | 4393× | body | 1024 | valid |
| 634.0ms | 2248× | body | 512 | valid |
| 312.0ms | 471× | body | 2048 | valid |
| 166.0ms | 1144× | body | 256 | valid |
| 2× | egg-herbie |
| 1764× | associate-+r+ |
| 1702× | fma-def |
| 1008× | distribute-lft-in |
| 950× | associate-+l- |
| 860× | associate-+l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 1 | 29 | 35 |
| 2 | 67 | 35 |
| 3 | 163 | 35 |
| 4 | 340 | 33 |
| 5 | 780 | 33 |
| 6 | 1480 | 33 |
| 7 | 2966 | 33 |
| 8 | 4106 | 33 |
| 9 | 4521 | 33 |
| 10 | 6581 | 33 |
| 11 | 7188 | 33 |
| 12 | 7521 | 33 |
| 13 | 7657 | 33 |
| 14 | 7665 | 33 |
| 15 | 7665 | 33 |
| 16 | 7883 | 33 |
| 17 | 7963 | 33 |
| 18 | 7979 | 33 |
| 19 | 7985 | 33 |
| 20 | 7991 | 33 |
| 21 | 7991 | 33 |
| 22 | 7991 | 33 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
(+.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) -1) |
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) |
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) |
(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 1764× | associate-+r+ |
| 1702× | fma-def |
| 1008× | distribute-lft-in |
| 950× | associate-+l- |
| 860× | associate-+l+ |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 1 | 29 | 35 |
| 2 | 67 | 35 |
| 3 | 163 | 35 |
| 4 | 340 | 33 |
| 5 | 780 | 33 |
| 6 | 1480 | 33 |
| 7 | 2966 | 33 |
| 8 | 4106 | 33 |
| 9 | 4521 | 33 |
| 10 | 6581 | 33 |
| 11 | 7188 | 33 |
| 12 | 7521 | 33 |
| 13 | 7657 | 33 |
| 14 | 7665 | 33 |
| 15 | 7665 | 33 |
| 16 | 7883 | 33 |
| 17 | 7963 | 33 |
| 18 | 7979 | 33 |
| 19 | 7985 | 33 |
| 20 | 7991 | 33 |
| 21 | 7991 | 33 |
| 22 | 7991 | 33 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
| Outputs |
|---|
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
(+.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) -1) |
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) |
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) |
(-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log.f64 n) (log1p.f64 n)) 1)) |
Compiled 65 to 36 computations (44.6% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 4 | 5 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 5 | 6 |
| Status | Error | Program |
|---|---|---|
| ▶ | 44.2b | (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) |
| ▶ | 63.0b | (-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
| ▶ | 62.0b | (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) |
| ▶ | 61.9b | (+.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) -1) |
Compiled 57 to 40 computations (29.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 n (log.f64 n)) |
| ✓ | 62.4b | (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) |
Compiled 50 to 25 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | n | @ | 0 | (*.f64 n (log.f64 n)) |
| 11.0ms | n | @ | -inf | (*.f64 n (log.f64 n)) |
| 7.0ms | n | @ | inf | (*.f64 n (log.f64 n)) |
| 1.0ms | n | @ | -inf | (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) |
| 1.0ms | n | @ | 0 | (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) |
| 1× | batch-egg-rewrite |
| 1008× | *-commutative |
| 782× | unswap-sqr |
| 590× | swap-sqr |
| 484× | distribute-lft-in |
| 468× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 50 |
| 1 | 239 | 40 |
| 2 | 3007 | 40 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) |
(*.f64 n (log.f64 n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (neg.f64 (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) (neg.f64 (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 0) (neg.f64 (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 0 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 0) (neg.f64 (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (exp.f64 (log1p.f64 (neg.f64 (*.f64 n (log.f64 n)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (log.f64 n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 n (log.f64 n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n 0) (*.f64 n (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (log.f64 (pow.f64 (cbrt.f64 n) 2))) (*.f64 n (log.f64 (cbrt.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (log.f64 (sqrt.f64 n))) (*.f64 n (log.f64 (sqrt.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 n) 0) (*.f64 n (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 n) (log.f64 (pow.f64 (cbrt.f64 n) 2))) (*.f64 (neg.f64 n) (log.f64 (cbrt.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 n) (log.f64 (sqrt.f64 n))) (*.f64 (neg.f64 n) (log.f64 (sqrt.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(pow.f64 (log.f64 n) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 n n) 1)))))) |
| 1× | egg-herbie |
| 1820× | unswap-sqr |
| 1076× | associate-+l+ |
| 1068× | associate-+r+ |
| 532× | +-commutative |
| 512× | distribute-lft-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 327 | 6245 |
| 1 | 854 | 5275 |
| 2 | 3553 | 5263 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 n (-.f64 1 (log.f64 n))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (*.f64 1/2 (pow.f64 n 2))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2)))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2))))) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n)))) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) |
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(+.f64 (neg.f64 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) |
(+.f64 0 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (neg.f64 (*.f64 n (log.f64 n)))) |
(+.f64 (+.f64 0 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) (neg.f64 (*.f64 n (log.f64 n)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 0) (neg.f64 (*.f64 n (log.f64 n)))) |
(+.f64 (-.f64 (+.f64 0 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 0) (neg.f64 (*.f64 n (log.f64 n)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (exp.f64 (log1p.f64 (neg.f64 (*.f64 n (log.f64 n)))))) 1) |
(+.f64 (-.f64 (+.f64 0 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) (exp.f64 (log1p.f64 (neg.f64 (*.f64 n (log.f64 n)))))) 1) |
(-.f64 0 (-.f64 (neg.f64 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))) |
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (neg.f64 (*.f64 n (log.f64 n)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))) 1) |
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (*.f64 n (log.f64 n))))) (-.f64 1 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))) |
(-.f64 (+.f64 0 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) (neg.f64 (*.f64 n (log.f64 n)))) |
(-.f64 (+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (exp.f64 (log1p.f64 (neg.f64 (*.f64 n (log.f64 n)))))) 1) |
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 0) (neg.f64 (*.f64 n (log.f64 n)))) |
(-.f64 (-.f64 (+.f64 0 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 0) (neg.f64 (*.f64 n (log.f64 n)))) |
(*.f64 1 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) |
(*.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 1) |
(*.f64 (sqrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) (sqrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))) |
(*.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) 2) (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 2) (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 2)) (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 2) (+.f64 (pow.f64 (neg.f64 (*.f64 n (log.f64 n))) 3) (pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 3))) (-.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 2) (*.f64 (neg.f64 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))) (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))) (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))))) (*.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))))) |
(*.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) (sqrt.f64 (neg.f64 (*.f64 n (log.f64 n))))) (-.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) (sqrt.f64 (neg.f64 (*.f64 n (log.f64 n)))))) |
(*.f64 (+.f64 (*.f64 (sqrt.f64 (log.f64 (+.f64 n 1))) (sqrt.f64 (+.f64 n 1))) (sqrt.f64 (neg.f64 (*.f64 n (log.f64 n))))) (-.f64 (*.f64 (sqrt.f64 (log.f64 (+.f64 n 1))) (sqrt.f64 (+.f64 n 1))) (sqrt.f64 (neg.f64 (*.f64 n (log.f64 n)))))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 3) 1/6)) |
(/.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 1) |
(/.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 2) (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 n (log.f64 n))) 3) (pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 3)) (-.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 2) (*.f64 (neg.f64 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (neg.f64 (*.f64 n (log.f64 n))) 3) (pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 3))) (-.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 2) (*.f64 (neg.f64 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 n (log.f64 n))) 3) (pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 3)) 1) (-.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 2) (*.f64 (neg.f64 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))) |
(/.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 2) 1) (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) |
(/.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 2) (sqrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))) (sqrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))) |
(/.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 2) (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) 2)) |
(/.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 2) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) 2)) (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))) |
(pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))) 3) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 2)) |
(log.f64 (*.f64 (pow.f64 n n) (exp.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n))))))) |
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))) |
(exp.f64 (log.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))) |
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))))) |
(+.f64 (*.f64 n (log.f64 n)) 0) |
(+.f64 0 (*.f64 n (log.f64 n))) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 n (log.f64 n))))) 1) |
(+.f64 (*.f64 n 0) (*.f64 n (log.f64 n))) |
(+.f64 (*.f64 n (log.f64 (pow.f64 (cbrt.f64 n) 2))) (*.f64 n (log.f64 (cbrt.f64 n)))) |
(+.f64 (*.f64 n (log.f64 (sqrt.f64 n))) (*.f64 n (log.f64 (sqrt.f64 n)))) |
(+.f64 (*.f64 (neg.f64 n) 0) (*.f64 n (log.f64 n))) |
(+.f64 (*.f64 (neg.f64 n) (log.f64 (pow.f64 (cbrt.f64 n) 2))) (*.f64 (neg.f64 n) (log.f64 (cbrt.f64 n)))) |
(+.f64 (*.f64 (neg.f64 n) (log.f64 (sqrt.f64 n))) (*.f64 (neg.f64 n) (log.f64 (sqrt.f64 n)))) |
(+.f64 (*.f64 0 n) (*.f64 n (log.f64 n))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 n) 2)) n) (*.f64 (log.f64 (cbrt.f64 n)) n)) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 n)) n) (*.f64 (log.f64 (sqrt.f64 n)) n)) |
(+.f64 (*.f64 0 (neg.f64 n)) (*.f64 n (log.f64 n))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 n) 2)) (neg.f64 n)) (*.f64 (log.f64 (cbrt.f64 n)) (neg.f64 n))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 n)) (neg.f64 n)) (*.f64 (log.f64 (sqrt.f64 n)) (neg.f64 n))) |
(-.f64 0 (*.f64 n (log.f64 n))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (log.f64 n)))) 1) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 n (log.f64 n))))) 1) |
(/.f64 (*.f64 n (log.f64 n)) 1) |
(/.f64 (*.f64 n (log.f64 n)) -1) |
(/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (*.f64 n (log.f64 n))) |
(/.f64 (+.f64 0 (pow.f64 (*.f64 n (log.f64 n)) 3)) (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0)) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0)) (*.f64 n (log.f64 n))) |
(/.f64 (*.f64 1 (+.f64 0 (pow.f64 (*.f64 n (log.f64 n)) 3))) (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0)) |
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0)) (*.f64 n (log.f64 n))) |
(/.f64 (*.f64 -1 (+.f64 0 (pow.f64 (*.f64 n (log.f64 n)) 3))) (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) 1) (*.f64 n (log.f64 n))) |
(/.f64 (*.f64 (+.f64 0 (pow.f64 (*.f64 n (log.f64 n)) 3)) 1) (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) -1) (*.f64 n (log.f64 n))) |
(/.f64 (*.f64 (+.f64 0 (pow.f64 (*.f64 n (log.f64 n)) 3)) -1) (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) n) (log.f64 n)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) n) (neg.f64 (log.f64 n))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) 1) (*.f64 n (log.f64 n))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (log.f64 n)) n) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (log.f64 n)) (neg.f64 n)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (sqrt.f64 (log.f64 n))) (*.f64 n (sqrt.f64 (log.f64 n)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (sqrt.f64 (*.f64 n (log.f64 n)))) (sqrt.f64 (*.f64 n (log.f64 n)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (sqrt.f64 n)) (*.f64 (sqrt.f64 n) (neg.f64 (log.f64 n)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (sqrt.f64 n)) (*.f64 (log.f64 n) (sqrt.f64 n))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (pow.f64 (cbrt.f64 (log.f64 n)) 2)) (*.f64 n (cbrt.f64 (log.f64 n)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (cbrt.f64 (*.f64 n (log.f64 n)))) (pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 2)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 2)) (cbrt.f64 (*.f64 n (log.f64 n)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (pow.f64 (cbrt.f64 n) 2)) (*.f64 (cbrt.f64 n) (neg.f64 (log.f64 n)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (pow.f64 (cbrt.f64 n) 2)) (*.f64 (log.f64 n) (cbrt.f64 n))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (neg.f64 n)) (log.f64 n)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (neg.f64 (log.f64 n))) n) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) -1) (*.f64 n (log.f64 n))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (*.f64 (sqrt.f64 (log.f64 n)) (neg.f64 n))) (sqrt.f64 (log.f64 n))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (*.f64 (pow.f64 (cbrt.f64 (log.f64 n)) 2) (neg.f64 n))) (cbrt.f64 (log.f64 n))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (*.f64 n (sqrt.f64 (log.f64 n)))) (sqrt.f64 (log.f64 n))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (*.f64 n (pow.f64 (cbrt.f64 (log.f64 n)) 2))) (cbrt.f64 (log.f64 n))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (*.f64 (log.f64 n) (sqrt.f64 n))) (sqrt.f64 n)) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (*.f64 (log.f64 n) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0)) (*.f64 n (log.f64 n))) |
(/.f64 (neg.f64 (+.f64 0 (pow.f64 (*.f64 n (log.f64 n)) 3))) (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0)) |
(pow.f64 (*.f64 n (log.f64 n)) 1) |
(pow.f64 (sqrt.f64 (*.f64 n (log.f64 n))) 2) |
(pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 3) |
(pow.f64 (pow.f64 (*.f64 n (log.f64 n)) 3) 1/3) |
(neg.f64 (*.f64 n (log.f64 n))) |
(sqrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 2)) |
(log.f64 (pow.f64 n n)) |
(log.f64 (+.f64 1 (-.f64 (pow.f64 n n) 1))) |
(cbrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 n) 3) (pow.f64 n 3))) |
(expm1.f64 (log1p.f64 (*.f64 n (log.f64 n)))) |
(exp.f64 (log.f64 (*.f64 n (log.f64 n)))) |
(log1p.f64 (-.f64 (pow.f64 n n) 1)) |
| Outputs |
|---|
(*.f64 n (-.f64 1 (log.f64 n))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (*.f64 1/2 (pow.f64 n 2))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (*.f64 1/2 (*.f64 n n))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (*.f64 n (*.f64 n 1/2))) |
(*.f64 n (+.f64 (-.f64 1 (log.f64 n)) (*.f64 n 1/2))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2)))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (*.f64 1/2 (*.f64 n n)))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 1/2 (*.f64 n n) (*.f64 -1/6 (pow.f64 n 3)))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (*.f64 (*.f64 n n) (+.f64 1/2 (*.f64 n -1/6)))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2))))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/12 (pow.f64 n 4) (*.f64 1/2 (*.f64 n n))))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/2 (*.f64 n n) (*.f64 1/12 (pow.f64 n 4))))) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n)))) |
(+.f64 1 (neg.f64 (neg.f64 (log.f64 n)))) |
(+.f64 1 (log.f64 n)) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) |
(+.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 1/2 n)) |
(+.f64 1 (+.f64 (log.f64 n) (/.f64 1/2 n))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 1 (-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n)))) |
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(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0) (*.f64 (log.f64 n) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n)) |
(/.f64 (pow.f64 (log.f64 (pow.f64 n n)) 2) (*.f64 (*.f64 (log.f64 n) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2))) |
(/.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) (*.f64 (log.f64 n) (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2)))) |
(/.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) (*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (log.f64 n) (cbrt.f64 n)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0)) (*.f64 n (log.f64 n))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 (pow.f64 n n)) 2)) (log.f64 (pow.f64 n n))) |
(/.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) (*.f64 (log.f64 n) (neg.f64 n))) |
(/.f64 (neg.f64 (+.f64 0 (pow.f64 (*.f64 n (log.f64 n)) 3))) (+.f64 (pow.f64 (*.f64 n (log.f64 n)) 2) 0)) |
(/.f64 (pow.f64 (*.f64 n (neg.f64 (log.f64 n))) 3) (pow.f64 (log.f64 (pow.f64 n n)) 2)) |
(/.f64 (pow.f64 (*.f64 (log.f64 n) (neg.f64 n)) 3) (pow.f64 (*.f64 n (log.f64 n)) 2)) |
(pow.f64 (*.f64 n (log.f64 n)) 1) |
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n))) |
(*.f64 n (log.f64 n)) |
(pow.f64 (sqrt.f64 (*.f64 n (log.f64 n))) 2) |
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n))) |
(*.f64 n (log.f64 n)) |
(pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 3) |
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n))) |
(*.f64 n (log.f64 n)) |
(pow.f64 (pow.f64 (*.f64 n (log.f64 n)) 3) 1/3) |
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n))) |
(*.f64 n (log.f64 n)) |
(neg.f64 (*.f64 n (log.f64 n))) |
(*.f64 n (neg.f64 (log.f64 n))) |
(*.f64 (log.f64 n) (neg.f64 n)) |
(sqrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 2)) |
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 n n)) 2)) |
(fabs.f64 (*.f64 n (log.f64 n))) |
(log.f64 (pow.f64 n n)) |
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n))) |
(*.f64 n (log.f64 n)) |
(log.f64 (+.f64 1 (-.f64 (pow.f64 n n) 1))) |
(log1p.f64 (+.f64 (pow.f64 n n) -1)) |
(log.f64 (+.f64 (pow.f64 n n) 0)) |
(log1p.f64 (+.f64 -1 (pow.f64 n n))) |
(cbrt.f64 (pow.f64 (*.f64 n (log.f64 n)) 3)) |
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n))) |
(*.f64 n (log.f64 n)) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 n) 3) (pow.f64 n 3))) |
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n))) |
(*.f64 n (log.f64 n)) |
(expm1.f64 (log1p.f64 (*.f64 n (log.f64 n)))) |
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n))) |
(*.f64 n (log.f64 n)) |
(exp.f64 (log.f64 (*.f64 n (log.f64 n)))) |
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n))) |
(*.f64 n (log.f64 n)) |
(log1p.f64 (-.f64 (pow.f64 n n) 1)) |
(log1p.f64 (+.f64 (pow.f64 n n) -1)) |
(log.f64 (+.f64 (pow.f64 n n) 0)) |
(log1p.f64 (+.f64 -1 (pow.f64 n n))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (+.f64 n 1) (log1p.f64 n)) |
| ✓ | 0.3b | (fma.f64 n (log.f64 n) 1) |
| ✓ | 5.3b | (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) |
Compiled 33 to 17 computations (48.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | -inf | (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) |
| 0.0ms | n | @ | 0 | (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) |
| 0.0ms | n | @ | inf | (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) |
| 0.0ms | n | @ | -inf | (*.f64 (+.f64 n 1) (log1p.f64 n)) |
| 0.0ms | n | @ | -inf | (fma.f64 n (log.f64 n) 1) |
| 1× | batch-egg-rewrite |
| 1108× | associate-*r/ |
| 1052× | distribute-rgt-in |
| 1010× | distribute-lft-in |
| 926× | associate-*l/ |
| 264× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 65 |
| 1 | 246 | 65 |
| 2 | 3146 | 65 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) |
(fma.f64 n (log.f64 n) 1) |
(*.f64 (+.f64 n 1) (log1p.f64 n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (+.f64 (*.f64 (log1p.f64 n) n) (-.f64 -1 (*.f64 n (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (+.f64 (*.f64 n (log1p.f64 n)) (-.f64 -1 (*.f64 n (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (+.f64 (*.f64 (log1p.f64 n) n) (*.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (+.f64 (*.f64 n (log1p.f64 n)) (*.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (-.f64 (*.f64 (log1p.f64 n) n) (fma.f64 n (log.f64 n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (-.f64 (*.f64 n (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (-.f64 -1 (*.f64 n (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 (-.f64 -1 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)) (fma.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1 (fma.f64 n (log.f64 n) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (+.f64 (fma.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1 (fma.f64 n (log.f64 n) 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 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#<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))))))) |
| 1× | egg-herbie |
| 1002× | fma-def |
| 764× | associate-/l* |
| 658× | associate-*r* |
| 644× | +-commutative |
| 606× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 665 | 15874 |
| 1 | 1822 | 15096 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 n (-.f64 1 (log.f64 n))) 1) |
(-.f64 (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (*.f64 1/2 (pow.f64 n 2))) 1) |
(-.f64 (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2)))) 1) |
(*.f64 -1 (log.f64 (/.f64 1 n))) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 1/2 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
1 |
(+.f64 1 (*.f64 n (log.f64 n))) |
(+.f64 1 (*.f64 n (log.f64 n))) |
(+.f64 1 (*.f64 n (log.f64 n))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(+.f64 1 (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))) |
(+.f64 1 (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))) |
(+.f64 1 (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))) |
(+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))) |
(+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))) |
n |
(+.f64 n (*.f64 1/2 (pow.f64 n 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (*.f64 1/2 (pow.f64 n 2)))) |
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2))))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))))) |
(+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/2 (/.f64 1 n)))))) |
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (log1p.f64 n) (+.f64 (*.f64 (log1p.f64 n) n) (-.f64 -1 (*.f64 n (log.f64 n))))) |
(+.f64 (log1p.f64 n) (+.f64 (*.f64 n (log1p.f64 n)) (-.f64 -1 (*.f64 n (log.f64 n))))) |
(+.f64 (log1p.f64 n) (+.f64 (*.f64 (log1p.f64 n) n) (*.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1))) |
(+.f64 (log1p.f64 n) (+.f64 (*.f64 n (log1p.f64 n)) (*.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1))) |
(+.f64 (log1p.f64 n) (-.f64 (*.f64 (log1p.f64 n) n) (fma.f64 n (log.f64 n) 1))) |
(+.f64 (log1p.f64 n) (-.f64 (*.f64 n (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))) |
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (-.f64 -1 (*.f64 n (log.f64 n)))) |
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1)) |
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1 (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (+.f64 (*.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1) (fma.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1 (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (+.f64 (*.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (+.f64 (*.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 1 (*.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1))) |
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 (*.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1) 1)) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (fma.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1 (fma.f64 n (log.f64 n) 1))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (+.f64 (fma.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1 (fma.f64 n (log.f64 n) 1)) (fma.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1 (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)) (fma.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1 (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)) (fma.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1 (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (+.f64 (fma.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1 (fma.f64 n (log.f64 n) 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (+.f64 (fma.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1 (fma.f64 n (log.f64 n) 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (*.f64 1 (fma.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1 (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (*.f64 (fma.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1 (fma.f64 n (log.f64 n) 1)) 1)) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)) 1)) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)) 1)) |
(+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log1p.f64 n))) |
(+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1 (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 n (log.f64 n) 1))) (sqrt.f64 (fma.f64 n (log.f64 n) 1)) (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)))) |
(+.f64 (*.f64 (log1p.f64 n) n) (+.f64 (log1p.f64 n) (-.f64 -1 (*.f64 n (log.f64 n))))) |
(+.f64 (*.f64 (log1p.f64 n) n) (+.f64 (log1p.f64 n) (*.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1))) |
(+.f64 (*.f64 (log1p.f64 n) n) (-.f64 (log1p.f64 n) (fma.f64 n (log.f64 n) 1))) |
(+.f64 (*.f64 n (log1p.f64 n)) (+.f64 (log1p.f64 n) (-.f64 -1 (*.f64 n (log.f64 n))))) |
(+.f64 (*.f64 n (log1p.f64 n)) (+.f64 (log1p.f64 n) (*.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1))) |
(+.f64 (*.f64 n (log1p.f64 n)) (-.f64 (log1p.f64 n) (fma.f64 n (log.f64 n) 1))) |
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(/.f64 (fma.f64 n n -1) (/.f64 (+.f64 n -1) (log1p.f64 n))) |
(/.f64 (+.f64 1 (pow.f64 n 3)) (/.f64 (fma.f64 n n (-.f64 1 n)) (log1p.f64 n))) |
(/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n -1)) (+.f64 n -1)) |
(/.f64 (*.f64 (log1p.f64 n) (+.f64 1 (pow.f64 n 3))) (fma.f64 n n (-.f64 1 n))) |
(/.f64 (*.f64 (fma.f64 n n -1) (log1p.f64 n)) (+.f64 n -1)) |
(/.f64 (*.f64 (+.f64 1 (pow.f64 n 3)) (log1p.f64 n)) (fma.f64 n n (-.f64 1 n))) |
(/.f64 (*.f64 1 (*.f64 (log1p.f64 n) (fma.f64 n n -1))) (+.f64 n -1)) |
(/.f64 (*.f64 1 (*.f64 (log1p.f64 n) (+.f64 1 (pow.f64 n 3)))) (fma.f64 n n (-.f64 1 n))) |
(/.f64 (*.f64 1 (*.f64 (fma.f64 n n -1) (log1p.f64 n))) (+.f64 n -1)) |
(/.f64 (*.f64 1 (*.f64 (+.f64 1 (pow.f64 n 3)) (log1p.f64 n))) (fma.f64 n n (-.f64 1 n))) |
(/.f64 (*.f64 (log1p.f64 n) (-.f64 1 (*.f64 n n))) (-.f64 1 n)) |
(/.f64 (*.f64 (log1p.f64 n) (neg.f64 (fma.f64 n n -1))) (neg.f64 (+.f64 n -1))) |
(/.f64 (*.f64 (log1p.f64 n) (neg.f64 (+.f64 1 (pow.f64 n 3)))) (neg.f64 (fma.f64 n n (-.f64 1 n)))) |
(/.f64 (*.f64 (*.f64 (log1p.f64 n) (sqrt.f64 (+.f64 n 1))) (sqrt.f64 (fma.f64 n n -1))) (sqrt.f64 (+.f64 n -1))) |
(/.f64 (*.f64 (*.f64 (log1p.f64 n) (sqrt.f64 (+.f64 n 1))) (sqrt.f64 (+.f64 1 (pow.f64 n 3)))) (sqrt.f64 (fma.f64 n n (-.f64 1 n)))) |
(/.f64 (*.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (fma.f64 n n -1))) (cbrt.f64 (+.f64 n -1))) |
(/.f64 (*.f64 (*.f64 (log1p.f64 n) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 n 3)))) (cbrt.f64 (fma.f64 n n (-.f64 1 n)))) |
(/.f64 (*.f64 (-.f64 1 (*.f64 n n)) (log1p.f64 n)) (-.f64 1 n)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 n n -1)) (log1p.f64 n)) (neg.f64 (+.f64 n -1))) |
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 n 3))) (log1p.f64 n)) (neg.f64 (fma.f64 n n (-.f64 1 n)))) |
(/.f64 (*.f64 (*.f64 (log1p.f64 n) (fma.f64 n n -1)) 1) (+.f64 n -1)) |
(/.f64 (*.f64 (*.f64 (log1p.f64 n) (+.f64 1 (pow.f64 n 3))) 1) (fma.f64 n n (-.f64 1 n))) |
(/.f64 (*.f64 (*.f64 (fma.f64 n n -1) (log1p.f64 n)) 1) (+.f64 n -1)) |
(/.f64 (*.f64 (*.f64 (+.f64 1 (pow.f64 n 3)) (log1p.f64 n)) 1) (fma.f64 n n (-.f64 1 n))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 n n -1)) (*.f64 (sqrt.f64 (+.f64 n 1)) (log1p.f64 n))) (sqrt.f64 (+.f64 n -1))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 n 3))) (*.f64 (sqrt.f64 (+.f64 n 1)) (log1p.f64 n))) (sqrt.f64 (fma.f64 n n (-.f64 1 n)))) |
(/.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n -1)) 1) (+.f64 n -1)) |
(/.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n -1)) (sqrt.f64 (+.f64 n -1))) (sqrt.f64 (+.f64 n -1))) |
(/.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n -1)) (*.f64 (cbrt.f64 (+.f64 n -1)) (cbrt.f64 (+.f64 n -1)))) (cbrt.f64 (+.f64 n -1))) |
(/.f64 (/.f64 (*.f64 (log1p.f64 n) (fma.f64 n n -1)) (+.f64 1 (sqrt.f64 n))) (-.f64 (sqrt.f64 n) 1)) |
(/.f64 (/.f64 (*.f64 (log1p.f64 n) (+.f64 1 (pow.f64 n 3))) 1) (fma.f64 n n (-.f64 1 n))) |
(/.f64 (/.f64 (*.f64 (log1p.f64 n) (+.f64 1 (pow.f64 n 3))) (sqrt.f64 (fma.f64 n n (-.f64 1 n)))) (sqrt.f64 (fma.f64 n n (-.f64 1 n)))) |
(/.f64 (/.f64 (*.f64 (log1p.f64 n) (+.f64 1 (pow.f64 n 3))) (*.f64 (cbrt.f64 (fma.f64 n n (-.f64 1 n))) (cbrt.f64 (fma.f64 n n (-.f64 1 n))))) (cbrt.f64 (fma.f64 n n (-.f64 1 n)))) |
(/.f64 (/.f64 (*.f64 (fma.f64 n n -1) (log1p.f64 n)) 1) (+.f64 n -1)) |
(/.f64 (/.f64 (*.f64 (fma.f64 n n -1) (log1p.f64 n)) (sqrt.f64 (+.f64 n -1))) (sqrt.f64 (+.f64 n -1))) |
(/.f64 (/.f64 (*.f64 (fma.f64 n n -1) (log1p.f64 n)) (*.f64 (cbrt.f64 (+.f64 n -1)) (cbrt.f64 (+.f64 n -1)))) (cbrt.f64 (+.f64 n -1))) |
(/.f64 (/.f64 (*.f64 (fma.f64 n n -1) (log1p.f64 n)) (+.f64 1 (sqrt.f64 n))) (-.f64 (sqrt.f64 n) 1)) |
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 n 3)) (log1p.f64 n)) 1) (fma.f64 n n (-.f64 1 n))) |
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 n 3)) (log1p.f64 n)) (sqrt.f64 (fma.f64 n n (-.f64 1 n)))) (sqrt.f64 (fma.f64 n n (-.f64 1 n)))) |
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 n 3)) (log1p.f64 n)) (*.f64 (cbrt.f64 (fma.f64 n n (-.f64 1 n))) (cbrt.f64 (fma.f64 n n (-.f64 1 n))))) (cbrt.f64 (fma.f64 n n (-.f64 1 n)))) |
(pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 2)) |
(log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))) |
(exp.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n)))) |
(exp.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 n (-.f64 1 (log.f64 n))) 1) |
(fma.f64 n (-.f64 1 (log.f64 n)) -1) |
(-.f64 (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (*.f64 1/2 (pow.f64 n 2))) 1) |
(+.f64 (fma.f64 n (-.f64 1 (log.f64 n)) (*.f64 1/2 (*.f64 n n))) -1) |
(fma.f64 n (-.f64 1 (log.f64 n)) (+.f64 (*.f64 n (*.f64 n 1/2)) -1)) |
(-.f64 (+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2)))) 1) |
(+.f64 (fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (*.f64 1/2 (*.f64 n n)))) -1) |
(+.f64 (fma.f64 1/2 (*.f64 n n) (*.f64 -1/6 (pow.f64 n 3))) (fma.f64 n (-.f64 1 (log.f64 n)) -1)) |
(*.f64 -1 (log.f64 (/.f64 1 n))) |
(neg.f64 (neg.f64 (log.f64 n))) |
(log.f64 n) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))) |
(+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 n)) |
(+.f64 (log.f64 n) (/.f64 1/2 n)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 n)) (/.f64 1/6 (*.f64 n n))) |
(+.f64 (log.f64 n) (+.f64 (/.f64 1/2 n) (/.f64 -1/6 (*.f64 n n)))) |
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (+.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 1/2 n)) (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 1/6 (*.f64 n n))) |
(+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (+.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 -1/6 (*.f64 n n)))) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) |
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(fma.f64 -1 (log.f64 (/.f64 -1 n)) (+.f64 (/.f64 1/2 n) (log.f64 -1))) |
(+.f64 (log.f64 -1) (-.f64 (/.f64 1/2 n) (log.f64 (/.f64 -1 n)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 1/2 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (+.f64 (/.f64 1/2 n) (log.f64 -1))) (/.f64 1/6 (*.f64 n n))) |
(+.f64 (/.f64 1/2 n) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) (/.f64 -1/6 (*.f64 n n)))) |
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (/.f64 1/12 (pow.f64 n 3)) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (+.f64 (/.f64 1/2 n) (log.f64 -1))) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (-.f64 (/.f64 1/12 (pow.f64 n 3)) (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (-.f64 (/.f64 1/2 n) (/.f64 1/6 (*.f64 n n))))) |
1 |
(+.f64 1 (*.f64 n (log.f64 n))) |
(fma.f64 n (log.f64 n) 1) |
(+.f64 1 (*.f64 n (log.f64 n))) |
(fma.f64 n (log.f64 n) 1) |
(+.f64 1 (*.f64 n (log.f64 n))) |
(fma.f64 n (log.f64 n) 1) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(neg.f64 (*.f64 (neg.f64 n) (log.f64 n))) |
(*.f64 n (log.f64 n)) |
(+.f64 1 (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))) |
(fma.f64 n (log.f64 n) 1) |
(+.f64 1 (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))) |
(fma.f64 n (log.f64 n) 1) |
(+.f64 1 (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))) |
(fma.f64 n (log.f64 n) 1) |
(*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1))) |
(*.f64 n (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))) |
(+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))) |
(+.f64 1 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)))) |
(fma.f64 n (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) 1) |
(+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))) |
(+.f64 1 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)))) |
(fma.f64 n (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) 1) |
(+.f64 1 (*.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1)))) |
(+.f64 1 (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)))) |
(fma.f64 n (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) 1) |
n |
(+.f64 n (*.f64 1/2 (pow.f64 n 2))) |
(+.f64 n (*.f64 1/2 (*.f64 n n))) |
(fma.f64 1/2 (*.f64 n n) n) |
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (*.f64 1/2 (pow.f64 n 2)))) |
(fma.f64 -1/6 (pow.f64 n 3) (+.f64 n (*.f64 1/2 (*.f64 n n)))) |
(fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/2 (*.f64 n n) n)) |
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2))))) |
(fma.f64 -1/6 (pow.f64 n 3) (+.f64 n (fma.f64 1/12 (pow.f64 n 4) (*.f64 1/2 (*.f64 n n))))) |
(+.f64 (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/2 (*.f64 n n) n)) (*.f64 1/12 (pow.f64 n 4))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(neg.f64 (*.f64 (neg.f64 n) (log.f64 n))) |
(*.f64 n (log.f64 n)) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))))) |
(+.f64 1 (*.f64 -1 (+.f64 (neg.f64 (log.f64 n)) (*.f64 (neg.f64 n) (log.f64 n))))) |
(+.f64 (log.f64 n) (fma.f64 n (log.f64 n) 1)) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))) |
(+.f64 1 (fma.f64 -1 (neg.f64 (log.f64 n)) (+.f64 (/.f64 1/2 n) (neg.f64 (*.f64 (neg.f64 n) (log.f64 n)))))) |
(+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (fma.f64 n (log.f64 n) 1)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (neg.f64 (log.f64 n)) (+.f64 (/.f64 1/2 n) (neg.f64 (*.f64 (neg.f64 n) (log.f64 n))))) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (fma.f64 n (log.f64 n) 1)) (/.f64 -1/6 (*.f64 n n))) |
(*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) |
(*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1))) |
(*.f64 n (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))))) |
(+.f64 1 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1))))) |
(+.f64 1 (*.f64 (+.f64 n 1) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))))) |
(+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 1 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (fma.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) (/.f64 1/2 n))))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))) (/.f64 1/2 n))) |
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 1 (-.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (fma.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) (/.f64 1/2 n)))) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (+.f64 (*.f64 (+.f64 n 1) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n)))) (/.f64 1/2 n)) (+.f64 1 (/.f64 -1/6 (*.f64 n n)))) |
(+.f64 (log1p.f64 n) (+.f64 (*.f64 (log1p.f64 n) n) (-.f64 -1 (*.f64 n (log.f64 n))))) |
(fma.f64 (log1p.f64 n) (+.f64 n 1) (-.f64 -1 (*.f64 n (log.f64 n)))) |
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1)) |
(+.f64 (log1p.f64 n) (+.f64 (*.f64 n (log1p.f64 n)) (-.f64 -1 (*.f64 n (log.f64 n))))) |
(fma.f64 (log1p.f64 n) (+.f64 n 1) (-.f64 -1 (*.f64 n (log.f64 n)))) |
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1)) |
(+.f64 (log1p.f64 n) (+.f64 (*.f64 (log1p.f64 n) n) (*.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1))) |
(fma.f64 (log1p.f64 n) (+.f64 n 1) (-.f64 -1 (*.f64 n (log.f64 n)))) |
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1)) |
(+.f64 (log1p.f64 n) (+.f64 (*.f64 n (log1p.f64 n)) (*.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1))) |
(fma.f64 (log1p.f64 n) (+.f64 n 1) (-.f64 -1 (*.f64 n (log.f64 n)))) |
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1)) |
(+.f64 (log1p.f64 n) (-.f64 (*.f64 (log1p.f64 n) n) (fma.f64 n (log.f64 n) 1))) |
(fma.f64 (log1p.f64 n) (+.f64 n 1) (-.f64 -1 (*.f64 n (log.f64 n)))) |
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1)) |
(+.f64 (log1p.f64 n) (-.f64 (*.f64 n (log1p.f64 n)) (fma.f64 n (log.f64 n) 1))) |
(fma.f64 (log1p.f64 n) (+.f64 n 1) (-.f64 -1 (*.f64 n (log.f64 n)))) |
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1)) |
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (-.f64 -1 (*.f64 n (log.f64 n)))) |
(fma.f64 (log1p.f64 n) (+.f64 n 1) (-.f64 -1 (*.f64 n (log.f64 n)))) |
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1)) |
(+.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (*.f64 (-.f64 -1 (*.f64 n (log.f64 n))) 1)) |
(fma.f64 (log1p.f64 n) (+.f64 n 1) (-.f64 -1 (*.f64 n (log.f64 n)))) |
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1)) |
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(-.f64 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 n (log.f64 n) 1)) |
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(-.f64 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 n (log.f64 n) 1)) |
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(-.f64 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 n (log.f64 n) 1)) |
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(-.f64 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 n (log.f64 n) 1)) |
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(-.f64 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 n (log.f64 n) 1)) |
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(-.f64 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 n (log.f64 n) 1)) |
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(fma.f64 (log1p.f64 n) (+.f64 n 1) (-.f64 -1 (*.f64 n (log.f64 n)))) |
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1)) |
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(fma.f64 (log1p.f64 n) (+.f64 n 1) (-.f64 -1 (*.f64 n (log.f64 n)))) |
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1)) |
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(-.f64 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 n (log.f64 n) 1)) |
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(-.f64 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 n (log.f64 n) 1)) |
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(fma.f64 2 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 n (log.f64 n) 1)) (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) |
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(fma.f64 2 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 n (log.f64 n) 1)) (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) |
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(fma.f64 2 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 n (log.f64 n) 1)) (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) |
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(fma.f64 2 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 n (log.f64 n) 1)) (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) |
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(fma.f64 2 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 n (log.f64 n) 1)) (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) |
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(fma.f64 2 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 n (log.f64 n) 1)) (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) |
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(fma.f64 2 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 n (log.f64 n) 1)) (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) |
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(fma.f64 2 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 n (log.f64 n) 1)) (-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1))) |
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(-.f64 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 n (log.f64 n) 1)) |
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(-.f64 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 n (log.f64 n) 1)) |
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(-.f64 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 n (log.f64 n) 1)) |
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(-.f64 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 n (log.f64 n) 1)) |
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(-.f64 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 n (log.f64 n) 1)) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1))) (pow.f64 (cbrt.f64 (fma.f64 n (log.f64 n) 1)) 2) (fma.f64 n (log.f64 n) 1)) 1)) |
(+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (+.f64 n 1) (log1p.f64 n) (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 n (log.f64 n) 1)))) |
(-.f64 (+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (fma.f64 (log1p.f64 n) (+.f64 n 1) (fma.f64 n (log.f64 n) 1))) (fma.f64 n (log.f64 n) 1)) |
(+.f64 (-.f64 -1 (*.f64 n (log.f64 n))) (*.f64 (+.f64 n 1) (log1p.f64 n))) |
(fma.f64 (log1p.f64 n) (+.f64 n 1) (-.f64 -1 (*.f64 n (log.f64 n)))) |
(-.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) (fma.f64 n (log.f64 n) 1)) |
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(sqrt.f64 (pow.f64 (*.f64 (log1p.f64 n) (+.f64 n 1)) 2)) |
(fabs.f64 (*.f64 (log1p.f64 n) (+.f64 n 1))) |
(log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1))) |
(*.f64 (log1p.f64 n) (+.f64 n 1)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n))))) |
(*.f64 (log1p.f64 n) (+.f64 n 1)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) 3)) |
(*.f64 (log1p.f64 n) (+.f64 n 1)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))) |
(*.f64 (log1p.f64 n) (+.f64 n 1)) |
(exp.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n)))) |
(*.f64 (log1p.f64 n) (exp.f64 (log1p.f64 n))) |
(exp.f64 (*.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n))) 1)) |
(exp.f64 (+.f64 (log1p.f64 n) (log.f64 (log1p.f64 n)))) |
(*.f64 (log1p.f64 n) (exp.f64 (log1p.f64 n))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)))) |
(*.f64 (log1p.f64 n) (+.f64 n 1)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 n (log.f64 n)) | |
| ✓ | 0.3b | (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
| ✓ | 5.3b | (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
Compiled 52 to 31 computations (40.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | -inf | (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
| 0.0ms | n | @ | 0 | (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
| 0.0ms | n | @ | inf | (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
| 0.0ms | n | @ | -inf | (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
| 0.0ms | n | @ | inf | (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
| 1× | batch-egg-rewrite |
| 1116× | *-commutative |
| 952× | associate-*r/ |
| 896× | distribute-lft-in |
| 880× | distribute-rgt-in |
| 778× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 62 |
| 1 | 232 | 50 |
| 2 | 3131 | 50 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1))) (+.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 1 (pow.f64 n 3)))) (fma.f64 n n (-.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 n 1)) (-.f64 1 (*.f64 n n))) (-.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 n 1)) (neg.f64 (fma.f64 n n -1))) (neg.f64 (+.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 n 1)) (neg.f64 (+.f64 1 (pow.f64 n 3)))) (neg.f64 (fma.f64 n n (-.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 (+.f64 n 1)) (hypot.f64 1 (sqrt.f64 n))) (sqrt.f64 (+.f64 1 (pow.f64 n 3)))) (sqrt.f64 (fma.f64 n n (-.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 (+.f64 n 1)) (hypot.f64 1 (sqrt.f64 n))) (sqrt.f64 (fma.f64 n n -1))) (sqrt.f64 (+.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 (+.f64 n 1)) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 n 3)))) (cbrt.f64 (fma.f64 n n (-.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 (+.f64 n 1)) (pow.f64 (cbrt.f64 (+.f64 n 1)) 2)) (cbrt.f64 (fma.f64 n n -1))) (cbrt.f64 (+.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 n n)) (log.f64 (+.f64 n 1))) (-.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 n n -1)) (log.f64 (+.f64 n 1))) (neg.f64 (+.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 n 3))) (log.f64 (+.f64 n 1))) (neg.f64 (fma.f64 n n (-.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) 1) (+.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 1 (pow.f64 n 3))) 1) (fma.f64 n n (-.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 n 3))) (*.f64 (log.f64 (+.f64 n 1)) (hypot.f64 1 (sqrt.f64 n)))) (sqrt.f64 (fma.f64 n n (-.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 n n -1)) (*.f64 (log.f64 (+.f64 n 1)) (hypot.f64 1 (sqrt.f64 n)))) (sqrt.f64 (+.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) 1) (+.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) (sqrt.f64 (+.f64 n -1))) (sqrt.f64 (+.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) (*.f64 (cbrt.f64 (+.f64 n -1)) (cbrt.f64 (+.f64 n -1)))) (cbrt.f64 (+.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) (+.f64 1 (sqrt.f64 n))) (-.f64 (sqrt.f64 n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 1 (pow.f64 n 3))) 1) (fma.f64 n n (-.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 1 (pow.f64 n 3))) (sqrt.f64 (fma.f64 n n (-.f64 1 n)))) (sqrt.f64 (fma.f64 n n (-.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 1 (pow.f64 n 3))) (*.f64 (cbrt.f64 (fma.f64 n n (-.f64 1 n))) (cbrt.f64 (fma.f64 n n (-.f64 1 n))))) (cbrt.f64 (fma.f64 n n (-.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 n 1)) (log.f64 (log.f64 (+.f64 n 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))))))) |
| 1× | egg-herbie |
| 1328× | associate-+l+ |
| 1138× | associate-+r+ |
| 786× | +-commutative |
| 620× | associate-/l* |
| 564× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 658 | 23290 |
| 1 | 1908 | 21904 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 n (-.f64 1 (log.f64 n))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (*.f64 1/2 (pow.f64 n 2))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2)))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2))))) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n)))) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) |
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
n |
(+.f64 n (*.f64 1/2 (pow.f64 n 2))) |
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (*.f64 1/2 (pow.f64 n 2)))) |
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2))))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))))) |
(+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/2 (/.f64 1 n)))))) |
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (log.f64 (+.f64 n 1)) (+.f64 (*.f64 n (log.f64 (+.f64 n 1))) (*.f64 (log.f64 n) (neg.f64 n)))) |
(+.f64 (log.f64 (+.f64 n 1)) (+.f64 (*.f64 n (log.f64 (+.f64 n 1))) (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))) |
(+.f64 (log.f64 (+.f64 n 1)) (-.f64 (*.f64 n (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))) |
(+.f64 (log.f64 (+.f64 n 1)) (-.f64 (*.f64 n (log.f64 (+.f64 n 1))) (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 (log.f64 n) (neg.f64 n))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (*.f64 2 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (*.f64 2 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (*.f64 (log.f64 n) (neg.f64 n)) 1 (*.f64 n (log.f64 n))))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (fma.f64 (*.f64 (log.f64 n) (neg.f64 n)) 1 (*.f64 n (log.f64 n))))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 n (log.f64 n))))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 n (log.f64 n))))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 n (log.f64 n)))) (sqrt.f64 (*.f64 n (log.f64 n))) (*.f64 n (log.f64 n))))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 n (log.f64 n)))) (sqrt.f64 (*.f64 n (log.f64 n))) (*.f64 n (log.f64 n))))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 n (log.f64 n)))) (pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 2) (*.f64 n (log.f64 n))))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 n (log.f64 n)))) (pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 2) (*.f64 n (log.f64 n))))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 1 (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) 1)) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) (*.f64 2 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) (fma.f64 (*.f64 (log.f64 n) (neg.f64 n)) 1 (*.f64 n (log.f64 n)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 n (log.f64 n)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 n (log.f64 n)))) (sqrt.f64 (*.f64 n (log.f64 n))) (*.f64 n (log.f64 n)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 n (log.f64 n)))) (pow.f64 (cbrt.f64 (*.f64 n (log.f64 n))) 2) (*.f64 n (log.f64 n)))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) (+.f64 (*.f64 2 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) (+.f64 (fma.f64 (*.f64 (log.f64 n) (neg.f64 n)) 1 (*.f64 n (log.f64 n))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))) |
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(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) (sqrt.f64 (+.f64 n -1))) (sqrt.f64 (+.f64 n -1))) |
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) (*.f64 (cbrt.f64 (+.f64 n -1)) (cbrt.f64 (+.f64 n -1)))) (cbrt.f64 (+.f64 n -1))) |
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) (+.f64 1 (sqrt.f64 n))) (-.f64 (sqrt.f64 n) 1)) |
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 1 (pow.f64 n 3))) 1) (fma.f64 n n (-.f64 1 n))) |
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 1 (pow.f64 n 3))) (sqrt.f64 (fma.f64 n n (-.f64 1 n)))) (sqrt.f64 (fma.f64 n n (-.f64 1 n)))) |
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 1 (pow.f64 n 3))) (*.f64 (cbrt.f64 (fma.f64 n n (-.f64 1 n))) (cbrt.f64 (fma.f64 n n (-.f64 1 n))))) (cbrt.f64 (fma.f64 n n (-.f64 1 n)))) |
(pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 2)) |
(log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))) |
(exp.f64 (+.f64 (log.f64 (+.f64 n 1)) (log.f64 (log.f64 (+.f64 n 1))))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))) |
| Outputs |
|---|
(*.f64 n (-.f64 1 (log.f64 n))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (*.f64 1/2 (pow.f64 n 2))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (*.f64 1/2 (*.f64 n n))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (*.f64 n (*.f64 n 1/2))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (*.f64 1/2 (pow.f64 n 2)))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (*.f64 1/2 (*.f64 n n)))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (*.f64 n (*.f64 n 1/2)))) |
(+.f64 (*.f64 n (-.f64 1 (log.f64 n))) (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2))))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/12 (pow.f64 n 4) (*.f64 1/2 (*.f64 n n))))) |
(fma.f64 n (-.f64 1 (log.f64 n)) (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/12 (pow.f64 n 4) (*.f64 n (*.f64 n 1/2))))) |
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n)))) |
(+.f64 1 (neg.f64 (neg.f64 (log.f64 n)))) |
(+.f64 1 (*.f64 1 (log.f64 n))) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 n))))) |
(+.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 n)))) (/.f64 1/2 n)) |
(+.f64 (*.f64 1 (log.f64 n)) (+.f64 1 (/.f64 1/2 n))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 1 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 n))) (/.f64 1/6 (*.f64 n n))) |
(+.f64 (+.f64 (*.f64 1 (log.f64 n)) (/.f64 1/2 n)) (+.f64 1 (/.f64 -1/6 (*.f64 n n)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 1 (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 n)) (/.f64 1/12 (pow.f64 n 3))) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 1 (+.f64 (+.f64 (*.f64 1 (log.f64 n)) (/.f64 1/2 n)) (-.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 (/.f64 1/6 n) n)))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(+.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1))) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))) |
(+.f64 (/.f64 1/2 n) (+.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)))) |
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) (+.f64 1 (/.f64 1/2 n))) |
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (/.f64 1/2 n)))) (/.f64 1/6 (*.f64 n n))) |
(+.f64 1 (+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (/.f64 1/2 n)) (/.f64 (/.f64 1/6 n) n)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 1/12 (pow.f64 n 3)) (log.f64 -1)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (/.f64 1/2 n))) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (+.f64 (log.f64 -1) (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (/.f64 1/2 n)) (/.f64 1/12 (pow.f64 n 3)))) (+.f64 1 (/.f64 -1/6 (*.f64 n n)))) |
n |
(+.f64 n (*.f64 1/2 (pow.f64 n 2))) |
(+.f64 n (*.f64 1/2 (*.f64 n n))) |
(+.f64 n (*.f64 n (*.f64 n 1/2))) |
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (*.f64 1/2 (pow.f64 n 2)))) |
(fma.f64 -1/6 (pow.f64 n 3) (+.f64 n (*.f64 1/2 (*.f64 n n)))) |
(+.f64 n (fma.f64 -1/6 (pow.f64 n 3) (*.f64 n (*.f64 n 1/2)))) |
(+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 n (+.f64 (*.f64 1/12 (pow.f64 n 4)) (*.f64 1/2 (pow.f64 n 2))))) |
(fma.f64 -1/6 (pow.f64 n 3) (+.f64 n (fma.f64 1/12 (pow.f64 n 4) (*.f64 1/2 (*.f64 n n))))) |
(+.f64 n (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/12 (pow.f64 n 4) (*.f64 n (*.f64 n 1/2))))) |
(*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))) |
(*.f64 (neg.f64 n) (neg.f64 (log.f64 n))) |
(*.f64 n (*.f64 1 (log.f64 n))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n)))))) |
(+.f64 1 (*.f64 -1 (+.f64 (neg.f64 (log.f64 n)) (*.f64 n (neg.f64 (log.f64 n)))))) |
(+.f64 1 (*.f64 (neg.f64 (log.f64 n)) (+.f64 -1 (neg.f64 n)))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))) |
(+.f64 1 (fma.f64 -1 (neg.f64 (log.f64 n)) (+.f64 (/.f64 1/2 n) (*.f64 (neg.f64 n) (neg.f64 (log.f64 n)))))) |
(+.f64 1 (+.f64 (/.f64 1/2 n) (*.f64 (neg.f64 (log.f64 n)) (+.f64 -1 (neg.f64 n))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (*.f64 n (log.f64 (/.f64 1 n))))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 1 (fma.f64 -1 (neg.f64 (log.f64 n)) (+.f64 (/.f64 1/2 n) (*.f64 (neg.f64 n) (neg.f64 (log.f64 n)))))) (/.f64 1/6 (*.f64 n n))) |
(+.f64 (+.f64 (/.f64 1/2 n) (*.f64 (neg.f64 (log.f64 n)) (+.f64 -1 (neg.f64 n)))) (+.f64 1 (/.f64 -1/6 (*.f64 n n)))) |
(*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) |
(*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1))) |
(+.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))))))) |
(+.f64 1 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) (*.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1))))) |
(+.f64 1 (*.f64 (+.f64 n 1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)))) |
(+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/2 (/.f64 1 n)))))) |
(+.f64 1 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (fma.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) (/.f64 1/2 n))))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 n 1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1))) (/.f64 1/2 n))) |
(-.f64 (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (*.f64 n (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n))))) (*.f64 1/2 (/.f64 1 n)))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 1 (-.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (fma.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) (/.f64 1/2 n)))) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 1 (+.f64 (+.f64 (*.f64 (+.f64 n 1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1))) (/.f64 1/2 n)) (/.f64 -1/6 (*.f64 n n)))) |
(+.f64 (log.f64 (+.f64 n 1)) (+.f64 (*.f64 n (log.f64 (+.f64 n 1))) (*.f64 (log.f64 n) (neg.f64 n)))) |
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
(fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (*.f64 n (neg.f64 (log.f64 n)))) |
(+.f64 (log.f64 (+.f64 n 1)) (+.f64 (*.f64 n (log.f64 (+.f64 n 1))) (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))) |
(-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (*.f64 n (log.f64 n))) |
(-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (*.f64 (log.f64 n) (+.f64 (neg.f64 n) n))) (*.f64 n (log.f64 n))) |
(+.f64 (log.f64 (+.f64 n 1)) (-.f64 (*.f64 n (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n)))) |
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
(fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (*.f64 n (neg.f64 (log.f64 n)))) |
(+.f64 (log.f64 (+.f64 n 1)) (-.f64 (*.f64 n (log.f64 (+.f64 n 1))) (-.f64 (*.f64 n (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))) |
(-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (*.f64 n (log.f64 n))) |
(-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (*.f64 (log.f64 n) (+.f64 (neg.f64 n) n))) (*.f64 n (log.f64 n))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 (log.f64 n) (neg.f64 n))) |
(-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
(fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (*.f64 n (neg.f64 (log.f64 n)))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))) |
(-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (*.f64 n (log.f64 n))) |
(-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (*.f64 (log.f64 n) (+.f64 (neg.f64 n) n))) (*.f64 n (log.f64 n))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))) (-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (*.f64 n (log.f64 n)))) |
(-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (*.f64 2 (*.f64 (log.f64 n) (+.f64 (neg.f64 n) n)))) (*.f64 n (log.f64 n))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (*.f64 2 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))) (-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (*.f64 n (log.f64 n)))) |
(-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (*.f64 2 (*.f64 (log.f64 n) (+.f64 (neg.f64 n) n)))) (*.f64 n (log.f64 n))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (*.f64 2 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))))) |
(+.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) (*.f64 3 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))))) |
(+.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (*.f64 n (neg.f64 (log.f64 n)))) (*.f64 3 (*.f64 (log.f64 n) (+.f64 (neg.f64 n) n)))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (*.f64 (log.f64 n) (neg.f64 n)) 1 (*.f64 n (log.f64 n))))) |
(-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (*.f64 n (log.f64 n))) |
(-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (*.f64 (log.f64 n) (+.f64 (neg.f64 n) n))) (*.f64 n (log.f64 n))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (fma.f64 (*.f64 (log.f64 n) (neg.f64 n)) 1 (*.f64 n (log.f64 n))))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))) (-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (*.f64 n (log.f64 n)))) |
(-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (*.f64 2 (*.f64 (log.f64 n) (+.f64 (neg.f64 n) n)))) (*.f64 n (log.f64 n))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 n (log.f64 n))))) |
(-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (*.f64 n (log.f64 n))) |
(-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (*.f64 (log.f64 n) (+.f64 (neg.f64 n) n))) (*.f64 n (log.f64 n))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (fma.f64 (neg.f64 n) (log.f64 n) (*.f64 n (log.f64 n))))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n))) (-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (*.f64 n (log.f64 n)))) |
(-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (*.f64 2 (*.f64 (log.f64 n) (+.f64 (neg.f64 n) n)))) (*.f64 n (log.f64 n))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 n (log.f64 n)))) (sqrt.f64 (*.f64 n (log.f64 n))) (*.f64 n (log.f64 n))))) |
(-.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 n (log.f64 n)))) (sqrt.f64 (*.f64 n (log.f64 n))) (*.f64 n (log.f64 n)))) (*.f64 n (log.f64 n))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 n (log.f64 n))) (neg.f64 (sqrt.f64 (*.f64 n (log.f64 n))))) (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (*.f64 (log.f64 n) (+.f64 (neg.f64 n) n)))) |
(+.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (+.f64 (+.f64 (*.f64 (log.f64 n) (neg.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) n (*.f64 n (log.f64 n)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 n (log.f64 n)))) (sqrt.f64 (*.f64 n (log.f64 n))) (*.f64 n (log.f64 n))))) |
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(*.f64 (/.f64 (neg.f64 (fma.f64 n n -1)) (-.f64 1 n)) (log.f64 (+.f64 n 1))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 n n -1)) (log.f64 (+.f64 n 1))) (neg.f64 (+.f64 n -1))) |
(/.f64 (log.f64 (+.f64 n 1)) (/.f64 (-.f64 1 n) (-.f64 1 (*.f64 n n)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 n n -1)) (-.f64 1 n)) (log.f64 (+.f64 n 1))) |
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 n 3))) (log.f64 (+.f64 n 1))) (neg.f64 (fma.f64 n n (-.f64 1 n)))) |
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 n 3))) (/.f64 (neg.f64 (fma.f64 n n (-.f64 1 n))) (log.f64 (+.f64 n 1)))) |
(*.f64 (/.f64 (-.f64 -1 (pow.f64 n 3)) (neg.f64 (fma.f64 n n (-.f64 1 n)))) (log.f64 (+.f64 n 1))) |
(/.f64 (*.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) 1) (+.f64 n -1)) |
(*.f64 (/.f64 (fma.f64 n n -1) (+.f64 n -1)) (log.f64 (+.f64 n 1))) |
(*.f64 (log.f64 (+.f64 n 1)) (/.f64 (fma.f64 n n -1) (+.f64 n -1))) |
(/.f64 (*.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 1 (pow.f64 n 3))) 1) (fma.f64 n n (-.f64 1 n))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 n 3)) (fma.f64 n n (-.f64 1 n))) (log.f64 (+.f64 n 1))) |
(*.f64 (log.f64 (+.f64 n 1)) (/.f64 (+.f64 1 (pow.f64 n 3)) (fma.f64 n n (-.f64 1 n)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 n 3))) (*.f64 (log.f64 (+.f64 n 1)) (hypot.f64 1 (sqrt.f64 n)))) (sqrt.f64 (fma.f64 n n (-.f64 1 n)))) |
(/.f64 (*.f64 (log.f64 (+.f64 n 1)) (hypot.f64 1 (sqrt.f64 n))) (/.f64 (sqrt.f64 (fma.f64 n n (-.f64 1 n))) (sqrt.f64 (+.f64 1 (pow.f64 n 3))))) |
(/.f64 (log.f64 (+.f64 n 1)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 n n (-.f64 1 n))) (sqrt.f64 (+.f64 1 (pow.f64 n 3)))) (hypot.f64 1 (sqrt.f64 n)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 n n -1)) (*.f64 (log.f64 (+.f64 n 1)) (hypot.f64 1 (sqrt.f64 n)))) (sqrt.f64 (+.f64 n -1))) |
(/.f64 (*.f64 (log.f64 (+.f64 n 1)) (hypot.f64 1 (sqrt.f64 n))) (/.f64 (sqrt.f64 (+.f64 n -1)) (sqrt.f64 (fma.f64 n n -1)))) |
(/.f64 (sqrt.f64 (fma.f64 n n -1)) (/.f64 (/.f64 (sqrt.f64 (+.f64 n -1)) (log.f64 (+.f64 n 1))) (hypot.f64 1 (sqrt.f64 n)))) |
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) 1) (+.f64 n -1)) |
(*.f64 (/.f64 (fma.f64 n n -1) (+.f64 n -1)) (log.f64 (+.f64 n 1))) |
(*.f64 (log.f64 (+.f64 n 1)) (/.f64 (fma.f64 n n -1) (+.f64 n -1))) |
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) (sqrt.f64 (+.f64 n -1))) (sqrt.f64 (+.f64 n -1))) |
(/.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) (*.f64 (sqrt.f64 (+.f64 n -1)) (sqrt.f64 (+.f64 n -1)))) |
(/.f64 (log.f64 (+.f64 n 1)) (/.f64 (*.f64 (sqrt.f64 (+.f64 n -1)) (sqrt.f64 (+.f64 n -1))) (fma.f64 n n -1))) |
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) (*.f64 (cbrt.f64 (+.f64 n -1)) (cbrt.f64 (+.f64 n -1)))) (cbrt.f64 (+.f64 n -1))) |
(/.f64 (log.f64 (+.f64 n 1)) (/.f64 (*.f64 (cbrt.f64 (+.f64 n -1)) (*.f64 (cbrt.f64 (+.f64 n -1)) (cbrt.f64 (+.f64 n -1)))) (fma.f64 n n -1))) |
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) (+.f64 1 (sqrt.f64 n))) (-.f64 (sqrt.f64 n) 1)) |
(/.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) (*.f64 (+.f64 (sqrt.f64 n) -1) (+.f64 1 (sqrt.f64 n)))) |
(/.f64 (*.f64 (log.f64 (+.f64 n 1)) (fma.f64 n n -1)) (*.f64 (+.f64 1 (sqrt.f64 n)) (+.f64 -1 (sqrt.f64 n)))) |
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 1 (pow.f64 n 3))) 1) (fma.f64 n n (-.f64 1 n))) |
(*.f64 (/.f64 (+.f64 1 (pow.f64 n 3)) (fma.f64 n n (-.f64 1 n))) (log.f64 (+.f64 n 1))) |
(*.f64 (log.f64 (+.f64 n 1)) (/.f64 (+.f64 1 (pow.f64 n 3)) (fma.f64 n n (-.f64 1 n)))) |
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 1 (pow.f64 n 3))) (sqrt.f64 (fma.f64 n n (-.f64 1 n)))) (sqrt.f64 (fma.f64 n n (-.f64 1 n)))) |
(/.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 1 (pow.f64 n 3))) (*.f64 (sqrt.f64 (fma.f64 n n (-.f64 1 n))) (sqrt.f64 (fma.f64 n n (-.f64 1 n))))) |
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 1 (pow.f64 n 3))) (*.f64 (cbrt.f64 (fma.f64 n n (-.f64 1 n))) (cbrt.f64 (fma.f64 n n (-.f64 1 n))))) (cbrt.f64 (fma.f64 n n (-.f64 1 n)))) |
(/.f64 (*.f64 (log.f64 (+.f64 n 1)) (+.f64 1 (pow.f64 n 3))) (*.f64 (cbrt.f64 (fma.f64 n n (-.f64 1 n))) (*.f64 (cbrt.f64 (fma.f64 n n (-.f64 1 n))) (cbrt.f64 (fma.f64 n n (-.f64 1 n)))))) |
(/.f64 (log.f64 (+.f64 n 1)) (/.f64 (*.f64 (cbrt.f64 (fma.f64 n n (-.f64 1 n))) (*.f64 (cbrt.f64 (fma.f64 n n (-.f64 1 n))) (cbrt.f64 (fma.f64 n n (-.f64 1 n))))) (+.f64 1 (pow.f64 n 3)))) |
(pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 1) |
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))) 3) |
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
(pow.f64 (pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 3) 1/3) |
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
(sqrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 2)) |
(log.f64 (pow.f64 (+.f64 n 1) (+.f64 n 1))) |
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)))))) |
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) 3)) |
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))) |
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
(exp.f64 (+.f64 (log.f64 (+.f64 n 1)) (log.f64 (log.f64 (+.f64 n 1))))) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))))) |
(*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) |
| ✓ | 3.9b | (-.f64 (log1p.f64 n) (log.f64 n)) |
Compiled 27 to 10 computations (63% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | inf | (-.f64 (log1p.f64 n) (log.f64 n)) |
| 0.0ms | n | @ | 0 | (-.f64 (log1p.f64 n) (log.f64 n)) |
| 0.0ms | n | @ | 0 | (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) |
| 0.0ms | n | @ | -inf | (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) |
| 0.0ms | n | @ | inf | (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) |
| 1× | batch-egg-rewrite |
| 1032× | *-commutative |
| 892× | associate-*r/ |
| 728× | distribute-lft-in |
| 694× | distribute-rgt-in |
| 624× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 48 |
| 1 | 231 | 48 |
| 2 | 2943 | 48 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 n) (log.f64 n)) |
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (neg.f64 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (+.f64 (neg.f64 (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (+.f64 (neg.f64 (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 n) (+.f64 (neg.f64 (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (+.f64 -1 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))) (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (log1p.f64 n) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 -1 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) 1) (log1p.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (log1p.f64 n)))) (-.f64 1 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 -1 (log1p.f64 n))) (-.f64 (/.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 -1 (log1p.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (exp.f64 (log.f64 (+.f64 0 (log1p.f64 n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (/.f64 1 (-.f64 -1 (log1p.f64 n)))) (/.f64 (pow.f64 (log1p.f64 n) 2) (-.f64 -1 (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 -1 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (exp.f64 (log1p.f64 (log1p.f64 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))) (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))) (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 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(-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (pow.f64 (+.f64 -1 (log1p.f64 n)) 2))) (-.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (+.f64 -1 (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 n)) 3) (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3))) (+.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (*.f64 (+.f64 -1 (log1p.f64 n)) (-.f64 (+.f64 -1 (log1p.f64 n)) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (pow.f64 (+.f64 -1 (log1p.f64 n)) 2)) 1) (-.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (+.f64 -1 (log1p.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 n)) 3) (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3)) 1) (+.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (*.f64 (+.f64 -1 (log1p.f64 n)) (-.f64 (+.f64 -1 (log1p.f64 n)) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))))))))) |
| 1× | egg-herbie |
| 914× | associate-/r/ |
| 898× | associate-+l- |
| 828× | associate-/l/ |
| 644× | associate-+r- |
| 630× | associate--r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 409 | 8472 |
| 1 | 1176 | 8124 |
| 2 | 5379 | 8112 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 n)) |
(+.f64 n (*.f64 -1 (log.f64 n))) |
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 n (*.f64 -1 (log.f64 n)))) |
(+.f64 (*.f64 1/3 (pow.f64 n 3)) (+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 n (*.f64 -1 (log.f64 n))))) |
(/.f64 1 n) |
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
(/.f64 1 n) |
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
-1 |
(-.f64 (*.f64 n (+.f64 1 (*.f64 -1 (log.f64 n)))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 n (+.f64 1 (*.f64 -1 (log.f64 n))))) 1) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 n (+.f64 1 (*.f64 -1 (log.f64 n)))))) 1) |
(*.f64 -1 (log.f64 (/.f64 1 n))) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 1/2 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (log1p.f64 n) (neg.f64 (log.f64 n))) |
(+.f64 (log1p.f64 n) (+.f64 (neg.f64 (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))) |
(+.f64 (log1p.f64 n) (+.f64 (neg.f64 (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))) |
(+.f64 (log1p.f64 n) (+.f64 (neg.f64 (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (*.f64 1 (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (*.f64 (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)) 1)) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)) 1)) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)) 1)) |
(+.f64 (neg.f64 (log.f64 n)) (log1p.f64 n)) |
(+.f64 (neg.f64 (log.f64 n)) (+.f64 (log1p.f64 n) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))) |
(+.f64 (neg.f64 (log.f64 n)) (+.f64 (log1p.f64 n) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))) |
(+.f64 (neg.f64 (log.f64 n)) (+.f64 (log1p.f64 n) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)) (-.f64 (log1p.f64 n) (log.f64 n))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)) (-.f64 (log1p.f64 n) (log.f64 n))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)) (-.f64 (log1p.f64 n) (log.f64 n))) |
(+.f64 (-.f64 (log1p.f64 n) (exp.f64 (log1p.f64 (log.f64 n)))) 1) |
(*.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 1) |
(*.f64 1 (-.f64 (log1p.f64 n) (log.f64 n))) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (sqrt.f64 (-.f64 (log1p.f64 n) (log.f64 n)))) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n))) 2) (cbrt.f64 (-.f64 (log1p.f64 n) (log.f64 n)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 n) 2) (pow.f64 (log.f64 n) 2)) (/.f64 1 (+.f64 (log1p.f64 n) (log.f64 n)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 n) 3) (pow.f64 (log.f64 n) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 n) 2) (*.f64 (log.f64 n) (+.f64 (log1p.f64 n) (log.f64 n)))))) |
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(*.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))) (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))) 2) (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))))) |
(/.f64 (-.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (pow.f64 (+.f64 -1 (log1p.f64 n)) 2)) (-.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (+.f64 -1 (log1p.f64 n)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 n)) 3) (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3)) (+.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (*.f64 (+.f64 -1 (log1p.f64 n)) (-.f64 (+.f64 -1 (log1p.f64 n)) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (pow.f64 (+.f64 -1 (log1p.f64 n)) 2))) (-.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (+.f64 -1 (log1p.f64 n)))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 n)) 3) (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3))) (+.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (*.f64 (+.f64 -1 (log1p.f64 n)) (-.f64 (+.f64 -1 (log1p.f64 n)) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (pow.f64 (+.f64 -1 (log1p.f64 n)) 2)) 1) (-.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (+.f64 -1 (log1p.f64 n)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 n)) 3) (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3)) 1) (+.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (*.f64 (+.f64 -1 (log1p.f64 n)) (-.f64 (+.f64 -1 (log1p.f64 n)) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))))) |
(pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))) 3) |
(pow.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) 2)) |
(log.f64 (exp.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))))) |
(cbrt.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))))) |
(exp.f64 (log.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))))) |
(log1p.f64 (expm1.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))))) |
| Outputs |
|---|
(*.f64 -1 (log.f64 n)) |
(neg.f64 (log.f64 n)) |
(+.f64 n (*.f64 -1 (log.f64 n))) |
(+.f64 n (neg.f64 (log.f64 n))) |
(-.f64 n (log.f64 n)) |
(+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 n (*.f64 -1 (log.f64 n)))) |
(fma.f64 -1/2 (*.f64 n n) (+.f64 n (neg.f64 (log.f64 n)))) |
(fma.f64 -1/2 (*.f64 n n) (-.f64 n (log.f64 n))) |
(+.f64 (*.f64 1/3 (pow.f64 n 3)) (+.f64 (*.f64 -1/2 (pow.f64 n 2)) (+.f64 n (*.f64 -1 (log.f64 n))))) |
(fma.f64 1/3 (pow.f64 n 3) (fma.f64 -1/2 (*.f64 n n) (+.f64 n (neg.f64 (log.f64 n))))) |
(fma.f64 1/3 (pow.f64 n 3) (fma.f64 -1/2 (*.f64 n n) (-.f64 n (log.f64 n)))) |
(/.f64 1 n) |
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (/.f64 1 n) (/.f64 1/2 (*.f64 n n))) |
(-.f64 (/.f64 1 n) (/.f64 (/.f64 1/2 n) n)) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) (/.f64 1/2 (*.f64 n n))) |
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 (/.f64 1/2 n) n))) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 4))))) |
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (+.f64 (/.f64 (/.f64 1/2 n) n) (/.f64 1/4 (pow.f64 n 4))))) |
(/.f64 1 n) |
(-.f64 (/.f64 1 n) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (/.f64 1 n) (/.f64 1/2 (*.f64 n n))) |
(-.f64 (/.f64 1 n) (/.f64 (/.f64 1/2 n) n)) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (+.f64 (/.f64 1 n) (/.f64 1/3 (pow.f64 n 3))) (/.f64 1/2 (*.f64 n n))) |
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (/.f64 (/.f64 1/2 n) n))) |
(-.f64 (+.f64 (/.f64 1 n) (*.f64 1/3 (/.f64 1 (pow.f64 n 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 4))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) |
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/4 (pow.f64 n 4))))) |
(+.f64 (/.f64 1 n) (-.f64 (/.f64 1/3 (pow.f64 n 3)) (+.f64 (/.f64 (/.f64 1/2 n) n) (/.f64 1/4 (pow.f64 n 4))))) |
-1 |
(-.f64 (*.f64 n (+.f64 1 (*.f64 -1 (log.f64 n)))) 1) |
(fma.f64 n (+.f64 1 (neg.f64 (log.f64 n))) -1) |
(fma.f64 n (-.f64 1 (log.f64 n)) -1) |
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 n (+.f64 1 (*.f64 -1 (log.f64 n))))) 1) |
(+.f64 (*.f64 (*.f64 n n) 1/2) (fma.f64 n (+.f64 1 (neg.f64 (log.f64 n))) -1)) |
(fma.f64 (*.f64 n n) 1/2 (fma.f64 n (-.f64 1 (log.f64 n)) -1)) |
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 n 3)) (+.f64 (*.f64 1/2 (pow.f64 n 2)) (*.f64 n (+.f64 1 (*.f64 -1 (log.f64 n)))))) 1) |
(+.f64 (fma.f64 -1/6 (pow.f64 n 3) (fma.f64 1/2 (*.f64 n n) (*.f64 n (+.f64 1 (neg.f64 (log.f64 n)))))) -1) |
(fma.f64 (pow.f64 n 3) -1/6 (fma.f64 (*.f64 n n) 1/2 (fma.f64 n (-.f64 1 (log.f64 n)) -1))) |
(*.f64 -1 (log.f64 (/.f64 1 n))) |
(neg.f64 (neg.f64 (log.f64 n))) |
(log.f64 n) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))) |
(+.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/2 n)) |
(+.f64 (log.f64 n) (/.f64 1/2 n)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (/.f64 1/2 n) (-.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (/.f64 1/2 n) (-.f64 (log.f64 n) (/.f64 (/.f64 1/6 n) n))) |
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 -1 (log.f64 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (/.f64 1/12 (pow.f64 n 3)) (+.f64 (/.f64 1/2 n) (-.f64 (neg.f64 (neg.f64 (log.f64 n))) (/.f64 1/6 (*.f64 n n))))) |
(+.f64 (+.f64 (log.f64 n) (/.f64 1/2 n)) (+.f64 (/.f64 1/12 (pow.f64 n 3)) (/.f64 -1/6 (*.f64 n n)))) |
(+.f64 (/.f64 1/2 n) (-.f64 (+.f64 (log.f64 n) (/.f64 1/12 (pow.f64 n 3))) (/.f64 (/.f64 1/6 n) n))) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 n)))) |
(fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 -1)) |
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 n))) |
(+.f64 (*.f64 1/2 (/.f64 1 n)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 -1))) |
(fma.f64 -1 (log.f64 (/.f64 -1 n)) (+.f64 (/.f64 1/2 n) (log.f64 -1))) |
(+.f64 (log.f64 -1) (-.f64 (/.f64 1/2 n) (log.f64 (/.f64 -1 n)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 1/2 (/.f64 1 n)))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (+.f64 (/.f64 1/2 n) (log.f64 -1))) (/.f64 1/6 (*.f64 n n))) |
(+.f64 (-.f64 (/.f64 1/2 n) (log.f64 (/.f64 -1 n))) (-.f64 (log.f64 -1) (/.f64 (/.f64 1/6 n) n))) |
(-.f64 (+.f64 (*.f64 1/12 (/.f64 1 (pow.f64 n 3))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (+.f64 (log.f64 -1) (*.f64 1/2 (/.f64 1 n))))) (*.f64 1/6 (/.f64 1 (pow.f64 n 2)))) |
(+.f64 (/.f64 1/12 (pow.f64 n 3)) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (+.f64 (/.f64 1/2 n) (log.f64 -1))) (/.f64 1/6 (*.f64 n n)))) |
(+.f64 (/.f64 1/12 (pow.f64 n 3)) (+.f64 (-.f64 (/.f64 1/2 n) (log.f64 (/.f64 -1 n))) (-.f64 (log.f64 -1) (/.f64 (/.f64 1/6 n) n)))) |
(+.f64 (log1p.f64 n) (neg.f64 (log.f64 n))) |
(-.f64 (log1p.f64 n) (log.f64 n)) |
(+.f64 (log1p.f64 n) (+.f64 (neg.f64 (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)) (-.f64 (log1p.f64 n) (log.f64 n))) |
(-.f64 (+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (log.f64 n)) (log.f64 n)) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (-.f64 (log.f64 n) (log.f64 n))) |
(+.f64 (log1p.f64 n) (+.f64 (neg.f64 (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)) (-.f64 (log1p.f64 n) (log.f64 n))) |
(+.f64 (log1p.f64 n) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)) (log.f64 n))) |
(+.f64 (log1p.f64 n) (+.f64 (neg.f64 (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)) (-.f64 (log1p.f64 n) (log.f64 n))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)) (-.f64 (log1p.f64 n) (log.f64 n))) |
(-.f64 (+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (log.f64 n)) (log.f64 n)) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (-.f64 (log.f64 n) (log.f64 n))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)) (-.f64 (log1p.f64 n) (log.f64 n))) |
(+.f64 (log1p.f64 n) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)) (log.f64 n))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)) (-.f64 (log1p.f64 n) (log.f64 n))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (*.f64 2 (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))) |
(fma.f64 2 (+.f64 (log.f64 n) (neg.f64 (log.f64 n))) (-.f64 (log1p.f64 n) (log.f64 n))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)) (-.f64 (+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (log.f64 n)) (log.f64 n))) |
(-.f64 (+.f64 (+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n))) (log.f64 n)) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)) (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)) (-.f64 (+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (log.f64 n)) (log.f64 n))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)) (+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (-.f64 (log.f64 n) (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (log.f64 n)) 1 (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)) (-.f64 (+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (log.f64 n)) (log.f64 n))) |
(-.f64 (+.f64 (+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n))) (log.f64 n)) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))) |
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)) (-.f64 (log1p.f64 n) (log.f64 n))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)))) |
(+.f64 (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 n))) (sqrt.f64 (log.f64 n)) (log.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 n))) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 n)))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3) (pow.f64 (+.f64 -1 (log1p.f64 n)) 3)) (fma.f64 n (*.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2) n) (*.f64 (+.f64 -1 (log1p.f64 n)) (+.f64 -1 (-.f64 (log1p.f64 n) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3) (pow.f64 (+.f64 -1 (log1p.f64 n)) 3)) (fma.f64 n (*.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2) n) (*.f64 (+.f64 -1 (log1p.f64 n)) (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) 1))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (pow.f64 (+.f64 -1 (log1p.f64 n)) 2))) (-.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (+.f64 -1 (log1p.f64 n)))) |
(/.f64 (-.f64 (*.f64 (*.f64 n n) (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2)) (pow.f64 (+.f64 -1 (log1p.f64 n)) 2)) (-.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (+.f64 -1 (log1p.f64 n)))) |
(/.f64 (fma.f64 (*.f64 n n) (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2) (neg.f64 (pow.f64 (+.f64 -1 (log1p.f64 n)) 2))) (-.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) 1) (log1p.f64 n))) |
(/.f64 (fma.f64 (*.f64 n n) (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2) (neg.f64 (pow.f64 (+.f64 -1 (log1p.f64 n)) 2))) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (-.f64 1 (log1p.f64 n)))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 n)) 3) (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3))) (+.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (*.f64 (+.f64 -1 (log1p.f64 n)) (-.f64 (+.f64 -1 (log1p.f64 n)) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 n)) 3) (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3)) (+.f64 (*.f64 (*.f64 n n) (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2)) (*.f64 (+.f64 -1 (log1p.f64 n)) (-.f64 (+.f64 -1 (log1p.f64 n)) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3) (pow.f64 (+.f64 -1 (log1p.f64 n)) 3)) (fma.f64 n (*.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2) n) (*.f64 (+.f64 -1 (log1p.f64 n)) (+.f64 -1 (-.f64 (log1p.f64 n) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3) (pow.f64 (+.f64 -1 (log1p.f64 n)) 3)) (fma.f64 n (*.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2) n) (*.f64 (+.f64 -1 (log1p.f64 n)) (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) 1))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (pow.f64 (+.f64 -1 (log1p.f64 n)) 2)) 1) (-.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (+.f64 -1 (log1p.f64 n)))) |
(/.f64 (-.f64 (*.f64 (*.f64 n n) (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2)) (pow.f64 (+.f64 -1 (log1p.f64 n)) 2)) (-.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (+.f64 -1 (log1p.f64 n)))) |
(/.f64 (fma.f64 (*.f64 n n) (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2) (neg.f64 (pow.f64 (+.f64 -1 (log1p.f64 n)) 2))) (-.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) 1) (log1p.f64 n))) |
(/.f64 (fma.f64 (*.f64 n n) (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2) (neg.f64 (pow.f64 (+.f64 -1 (log1p.f64 n)) 2))) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (-.f64 1 (log1p.f64 n)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 n)) 3) (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3)) 1) (+.f64 (*.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))) (*.f64 (+.f64 -1 (log1p.f64 n)) (-.f64 (+.f64 -1 (log1p.f64 n)) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 -1 (log1p.f64 n)) 3) (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3)) (+.f64 (*.f64 (*.f64 n n) (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2)) (*.f64 (+.f64 -1 (log1p.f64 n)) (-.f64 (+.f64 -1 (log1p.f64 n)) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3) (pow.f64 (+.f64 -1 (log1p.f64 n)) 3)) (fma.f64 n (*.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2) n) (*.f64 (+.f64 -1 (log1p.f64 n)) (+.f64 -1 (-.f64 (log1p.f64 n) (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 n) (log.f64 n))) 3) (pow.f64 (+.f64 -1 (log1p.f64 n)) 3)) (fma.f64 n (*.f64 (pow.f64 (-.f64 (log1p.f64 n) (log.f64 n)) 2) n) (*.f64 (+.f64 -1 (log1p.f64 n)) (-.f64 (log1p.f64 n) (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) 1))))) |
(pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) 1) |
(+.f64 -1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))) |
(pow.f64 (sqrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))) 2) |
(+.f64 -1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))) |
(pow.f64 (cbrt.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))) 3) |
(+.f64 -1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))) |
(pow.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) 3) 1/3) |
(+.f64 -1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))) |
(sqrt.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 -1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))) 2)) |
(fabs.f64 (+.f64 -1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n)))) |
(log.f64 (exp.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))))) |
(+.f64 -1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n)))))) |
(+.f64 -1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))) |
(cbrt.f64 (pow.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) 3)) |
(+.f64 -1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))) |
(expm1.f64 (log1p.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))))) |
(+.f64 -1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))) |
(exp.f64 (log.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))))) |
(+.f64 -1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))) |
(log1p.f64 (expm1.f64 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))))) |
(+.f64 -1 (fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (log1p.f64 n))) |
Compiled 42797 to 23632 computations (44.8% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1466 | 2 | 1468 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 0 | 3 |
| Total | 1470 | 2 | 1472 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0b | (log.f64 n) |
| 63.0b | -1 |
Compiled 5 to 4 computations (20% saved)
Compiled 4 to 2 computations (50% saved)
Compiled 1 to 1 computations (0% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (log.f64 n) |
| 63.0b | -1 |
Compiled 5 to 4 computations (20% saved)
Compiled 1 to 1 computations (0% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 1 | 1 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (log.f64 n) |
| 63.0b | -1 |
Compiled 5 to 4 computations (20% saved)
Compiled 1 to 1 computations (0% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 0 | 0 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 1 | 1 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0b | (log.f64 n) |
| 63.0b | -1 |
Compiled 5 to 4 computations (20% saved)
Total -63.2b remaining (-∞%)
Threshold costs -63.2b (-∞%)
| Inputs |
|---|
-1 |
(log.f64 n) |
(-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
(-.f64 (*.f64 (+.f64 n 1) (log1p.f64 n)) (fma.f64 n (log.f64 n) 1)) |
(+.f64 (fma.f64 (+.f64 n 1) (log.f64 (+.f64 n 1)) (neg.f64 (*.f64 n (log.f64 n)))) -1) |
(fma.f64 n (-.f64 (log1p.f64 n) (log.f64 n)) (+.f64 -1 (log1p.f64 n))) |
| Outputs |
|---|
(log.f64 n) |
3 calls:
| 5.0ms | n |
| 2.0ms | (-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
| 2.0ms | (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 1 | n |
| 0b | 1 | (-.f64 (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) 1) |
| 0b | 1 | (-.f64 (*.f64 (+.f64 n 1) (log.f64 (+.f64 n 1))) (*.f64 n (log.f64 n))) |
Compiled 89 to 56 computations (37.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(log.f64 n) |
-1 |
| Outputs |
|---|
(log.f64 n) |
-1 |
Compiled 5 to 4 computations (20% saved)
| 2× | egg-herbie |
| 1764× | associate-+r+ |
| 1702× | fma-def |
| 1008× | distribute-lft-in |
| 1002× | fma-def |
| 950× | associate-+l- |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 45 |
| 1 | 29 | 35 |
| 2 | 67 | 35 |
| 3 | 163 | 35 |
| 4 | 340 | 33 |
| 5 | 780 | 33 |
| 6 | 1480 | 33 |
| 7 | 2966 | 33 |
| 8 | 4106 | 33 |
| 9 | 4521 | 33 |
| 10 | 6581 | 33 |
| 11 | 7188 | 33 |
| 12 | 7521 | 33 |
| 13 | 7657 | 33 |
| 14 | 7665 | 33 |
| 15 | 7665 | 33 |
| 16 | 7883 | 33 |
| 17 | 7963 | 33 |
| 18 | 7979 | 33 |
| 19 | 7985 | 33 |
| 20 | 7991 | 33 |
| 21 | 7991 | 33 |
| 22 | 7991 | 33 |
| 0 | 665 | 15874 |
| 1 | 1822 | 15096 |
| 1× | node limit |
| 1× | node limit |
Compiled 244 to 163 computations (33.2% saved)
Compiled 4 to 3 computations (25% saved)
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