Time bar (total: 9.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 33.3% | 25% | 50% | 0% | 0% | 25% | 0% | 3 |
| 75% | 37.5% | 12.5% | 0% | 12.5% | 37.5% | 0% | 4 |
| 87.5% | 43.7% | 6.2% | 0% | 12.5% | 37.5% | 0% | 5 |
| 93.8% | 46.9% | 3.1% | 0% | 12.5% | 37.5% | 0% | 6 |
| 96.9% | 48.4% | 1.6% | 0% | 12.5% | 37.5% | 0% | 7 |
| 98.4% | 49.2% | 0.8% | 0% | 12.5% | 37.5% | 0% | 8 |
| 99.2% | 49.6% | 0.4% | 0% | 12.5% | 37.5% | 0% | 9 |
| 99.6% | 49.8% | 0.2% | 0% | 12.5% | 37.5% | 0% | 10 |
| 99.8% | 49.9% | 0.1% | 0% | 12.5% | 37.5% | 0% | 11 |
| 99.9% | 49.9% | 0% | 0% | 12.5% | 37.5% | 0% | 12 |
Compiled 9 to 7 computations (22.2% saved)
| 941.0ms | 2087× | body | 1024 | valid |
| 859.0ms | 4942× | body | 256 | valid |
| 250.0ms | 252× | body | 2048 | valid |
| 223.0ms | 975× | body | 512 | valid |
| 2× | egg-herbie |
| 80× | fma-def |
| 44× | associate--r+ |
| 38× | associate-+l- |
| 30× | +-commutative |
| 24× | associate--l+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 14 | 15 |
| 2 | 19 | 15 |
| 3 | 27 | 15 |
| 4 | 36 | 15 |
| 5 | 53 | 15 |
| 6 | 104 | 15 |
| 7 | 143 | 15 |
| 8 | 189 | 15 |
| 9 | 232 | 15 |
| 10 | 256 | 15 |
| 11 | 258 | 15 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
| 80× | fma-def |
| 44× | associate--r+ |
| 38× | associate-+l- |
| 30× | +-commutative |
| 24× | associate--l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 14 | 15 |
| 2 | 19 | 15 |
| 3 | 27 | 15 |
| 4 | 36 | 15 |
| 5 | 53 | 15 |
| 6 | 104 | 15 |
| 7 | 143 | 15 |
| 8 | 189 | 15 |
| 9 | 232 | 15 |
| 10 | 256 | 15 |
| 11 | 258 | 15 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
Compiled 13 to 8 computations (38.5% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.6b | (-.f64 (log1p.f64 N) (log.f64 N)) |
| ▶ | 29.6b | (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
Compiled 14 to 10 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.8b | (log.f64 (+.f64 N 1)) |
| ✓ | 4.0b | (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
Compiled 19 to 12 computations (36.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | -inf | (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
| 0.0ms | N | @ | inf | (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
| 0.0ms | N | @ | 0 | (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
| 0.0ms | N | @ | -inf | (log.f64 (+.f64 N 1)) |
| 0.0ms | N | @ | inf | (log.f64 (+.f64 N 1)) |
| 1× | batch-egg-rewrite |
| 1968× | add-sqr-sqrt |
| 1952× | *-un-lft-identity |
| 1824× | add-cube-cbrt |
| 1804× | add-cbrt-cube |
| 190× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 28 |
| 1 | 186 | 20 |
| 2 | 2458 | 20 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
(log.f64 (+.f64 N 1)) |
| 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)) 1))))) (#(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))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 N))) (log.f64 (hypot.f64 1 (sqrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 N 3))) (log.f64 (fma.f64 N N (-.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 N))))) |
| 1× | egg-herbie |
| 722× | unswap-sqr |
| 676× | distribute-lft-in |
| 636× | associate-+l+ |
| 618× | distribute-rgt-in |
| 560× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 2072 |
| 1 | 498 | 1920 |
| 2 | 2050 | 1910 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 N)) |
(+.f64 N (*.f64 -1 (log.f64 N))) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (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))))) |
(/.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))))) |
N |
(+.f64 N (*.f64 -1/2 (pow.f64 N 2))) |
(+.f64 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))) |
(+.f64 N (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))) |
(*.f64 -1 (log.f64 (/.f64 1 N))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N))))) |
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (*.f64 1/2 (/.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)) 1)) |
(+.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 (neg.f64 (log.f64 N)) (log1p.f64 N)) |
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1) |
(*.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)))))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) |
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))) |
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) |
(log.f64 (/.f64 (+.f64 N 1) N)) |
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1))) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)) |
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1)) |
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N))) |
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) |
(+.f64 0 (log1p.f64 N)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1)))) |
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 N))) (log.f64 (hypot.f64 1 (sqrt.f64 N)))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 N 3))) (log.f64 (fma.f64 N N (-.f64 1 N)))) |
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) 1) |
(*.f64 1 (log1p.f64 N)) |
(*.f64 (log1p.f64 N) 1) |
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N))) |
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N))) |
(pow.f64 (log1p.f64 N) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3) |
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 N) 2)) |
(cbrt.f64 (pow.f64 (log1p.f64 N) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 N))) |
(exp.f64 (log.f64 (log1p.f64 N))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 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 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))) |
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N)))) |
(+.f64 N (fma.f64 -1/2 (*.f64 N N) (neg.f64 (log.f64 N)))) |
(-.f64 (fma.f64 -1/2 (*.f64 N N) N) (log.f64 N)) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2))))) |
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3))))) |
(+.f64 N (-.f64 (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3))) (log.f64 N))) |
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)))) |
(/.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 -1/2 (*.f64 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 1 N) (-.f64 (/.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 -1/2 (*.f64 N N)))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3))) |
(-.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 (/.f64 1 N) (/.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 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 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 1/2 N) 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 -1/2 (*.f64 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 1 N) (-.f64 (/.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 -1/2 (*.f64 N N)))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3))) |
(-.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 (/.f64 1 N) (/.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 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 -1/4 (pow.f64 N 4)) (/.f64 (/.f64 1/2 N) N)))) |
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 N (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))) |
(+.f64 N (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3)))) |
(+.f64 N (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)))) |
(+.f64 N (+.f64 (*.f64 -1/4 (pow.f64 N 4)) (+.f64 (*.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3))))) |
(+.f64 N (fma.f64 -1/4 (pow.f64 N 4) (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3))))) |
(+.f64 N (fma.f64 (pow.f64 N 4) -1/4 (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 3))))) |
(+.f64 N (fma.f64 (pow.f64 N 4) -1/4 (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))))) |
(*.f64 -1 (log.f64 (/.f64 1 N))) |
(neg.f64 (neg.f64 (log.f64 N))) |
(log.f64 N) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) |
(fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) |
(+.f64 (log.f64 N) (/.f64 1 N)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (+.f64 (log.f64 N) (/.f64 1 N)) (/.f64 -1/2 (*.f64 N N))) |
(+.f64 (log.f64 N) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 N)) (/.f64 1 N)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (log.f64 N) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (log.f64 N) (+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3)))) |
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) |
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) |
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N))))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (neg.f64 (log.f64 (/.f64 -1 N))))) |
(+.f64 (/.f64 1 N) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) |
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (log.f64 -1) (-.f64 (+.f64 (/.f64 1 N) (neg.f64 (log.f64 (/.f64 -1 N)))) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (log.f64 -1) (+.f64 (-.f64 (/.f64 1 N) (log.f64 (/.f64 -1 N))) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1 N) (+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (/.f64 -1/2 (*.f64 N N)))) |
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (log.f64 -1) (-.f64 (+.f64 (/.f64 1 N) (fma.f64 -1 (log.f64 (/.f64 -1 N)) (/.f64 1/3 (pow.f64 N 3)))) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (log.f64 -1) (+.f64 (/.f64 1 N) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (log.f64 (/.f64 -1 N))) (/.f64 1/2 (*.f64 N N))))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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)) 1)) |
(-.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 (log1p.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 (log1p.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 (log1p.f64 N) (log.f64 N)) |
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 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 (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 (log1p.f64 N) (log.f64 N)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.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) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.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)))))) |
(*.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 (log.f64 N) (log1p.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) |
(*.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 (log.f64 N) (log1p.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.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 (log.f64 N) (log1p.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (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 (log.f64 N) (log1p.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.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 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.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 (log.f64 N) (log1p.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))) |
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log.f64 (/.f64 (+.f64 N 1) N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 N 1) N) 1))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(+.f64 0 (log1p.f64 N)) |
(log1p.f64 N) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2)) (log.f64 (cbrt.f64 (+.f64 N 1)))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 N 1)))) |
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 N))) (log.f64 (hypot.f64 1 (sqrt.f64 N)))) |
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 N)))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 N 3))) (log.f64 (fma.f64 N N (-.f64 1 N)))) |
(-.f64 (log1p.f64 (pow.f64 N 3)) (log.f64 (fma.f64 N N (-.f64 1 N)))) |
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 N -1))) |
(-.f64 (log.f64 (fma.f64 N N -1)) (log.f64 (+.f64 -1 N))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 N))) 1) |
(log1p.f64 N) |
(*.f64 1 (log1p.f64 N)) |
(log1p.f64 N) |
(*.f64 (log1p.f64 N) 1) |
(log1p.f64 N) |
(*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N))) |
(log1p.f64 N) |
(*.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) |
(log1p.f64 N) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N))) |
(log1p.f64 N) |
(pow.f64 (log1p.f64 N) 1) |
(log1p.f64 N) |
(pow.f64 (sqrt.f64 (log1p.f64 N)) 2) |
(log1p.f64 N) |
(pow.f64 (cbrt.f64 (log1p.f64 N)) 3) |
(log1p.f64 N) |
(pow.f64 (pow.f64 (log1p.f64 N) 3) 1/3) |
(log1p.f64 N) |
(sqrt.f64 (pow.f64 (log1p.f64 N) 2)) |
(log1p.f64 N) |
(cbrt.f64 (pow.f64 (log1p.f64 N) 3)) |
(log1p.f64 N) |
(expm1.f64 (log1p.f64 (log1p.f64 N))) |
(log1p.f64 N) |
(exp.f64 (log.f64 (log1p.f64 N))) |
(log1p.f64 N) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1)) |
(log1p.f64 N) |
(log1p.f64 N) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.0b | (-.f64 (log1p.f64 N) (log.f64 N)) |
Compiled 11 to 4 computations (63.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | 0 | (-.f64 (log1p.f64 N) (log.f64 N)) |
| 0.0ms | N | @ | -inf | (-.f64 (log1p.f64 N) (log.f64 N)) |
| 0.0ms | N | @ | inf | (-.f64 (log1p.f64 N) (log.f64 N)) |
| 1× | batch-egg-rewrite |
| 1528× | add-sqr-sqrt |
| 1512× | *-un-lft-identity |
| 1410× | add-cube-cbrt |
| 1394× | add-cbrt-cube |
| 1380× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 1 | 144 | 15 |
| 2 | 1867 | 15 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 N) (log.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)) 1))))) (#(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))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))))))) |
| 1× | egg-herbie |
| 1272× | associate-+l+ |
| 1176× | associate-*r* |
| 936× | associate-*l* |
| 826× | fma-def |
| 666× | associate--r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 1430 |
| 1 | 351 | 1342 |
| 2 | 1330 | 1336 |
| 3 | 5604 | 1336 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 N)) |
(+.f64 N (*.f64 -1 (log.f64 N))) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (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))))) |
(/.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 (log1p.f64 N) (neg.f64 (log.f64 N))) |
(+.f64 (log1p.f64 N) (*.f64 (neg.f64 (log.f64 N)) 1)) |
(+.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 (neg.f64 (log.f64 N)) (log1p.f64 N)) |
(*.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)))))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) |
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))) |
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) |
(log.f64 (/.f64 (+.f64 N 1) N)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)) |
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1)) |
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N))) |
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.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 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))) |
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N)))) |
(+.f64 N (-.f64 (*.f64 (*.f64 -1/2 N) N) (log.f64 N))) |
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2))))) |
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N))))) |
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (*.f64 -1/2 N) N))) |
(+.f64 N (-.f64 (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (log.f64 N))) |
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)))) |
(/.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 -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 1 N) (-.f64 (/.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 -1/2 (*.f64 N N)))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3))) |
(-.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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.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 -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 1 N) (-.f64 (/.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 -1/2 (*.f64 N N)))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3))) |
(-.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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.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 (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)) 1)) |
(-.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 (log1p.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 (log1p.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 (log1p.f64 N) (log.f64 N)) |
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) |
(-.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 (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 (log1p.f64 N) (log.f64 N)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.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) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.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)))))) |
(*.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 (log.f64 N) (log1p.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(/.f64 1 (/.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) |
(*.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 (log.f64 N) (log1p.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.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 (log.f64 N) (log1p.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (log1p.f64 N) (neg.f64 (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 (log.f64 N) (log1p.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.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 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.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 (log.f64 N) (log1p.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2))) |
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log.f64 (/.f64 (+.f64 N 1) N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1)) |
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) |
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N))) |
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
Compiled 2673 to 1348 computations (49.6% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 192 | 9 | 201 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 193 | 10 | 203 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.6b | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) |
| ▶ | 30.5b | (/.f64 1 N) |
| 31.1b | (-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) | |
| ✓ | 29.6b | (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
| 32.1b | (-.f64 N (log.f64 N)) | |
| 31.3b | (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) | |
| ▶ | 30.8b | (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) |
| 60.3b | (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) | |
| ▶ | 33.0b | (neg.f64 (log.f64 N)) |
| ▶ | 29.3b | (log.f64 (/.f64 (+.f64 N 1) N)) |
Compiled 208 to 142 computations (31.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 N 1) N) |
| ✓ | 4.0b | (log.f64 (/.f64 (+.f64 N 1) N)) |
Compiled 17 to 11 computations (35.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | inf | (/.f64 (+.f64 N 1) N) |
| 0.0ms | N | @ | -inf | (/.f64 (+.f64 N 1) N) |
| 0.0ms | N | @ | -inf | (log.f64 (/.f64 (+.f64 N 1) N)) |
| 0.0ms | N | @ | 0 | (log.f64 (/.f64 (+.f64 N 1) N)) |
| 0.0ms | N | @ | inf | (log.f64 (/.f64 (+.f64 N 1) N)) |
| 1× | batch-egg-rewrite |
| 1728× | add-sqr-sqrt |
| 1712× | *-un-lft-identity |
| 1598× | add-cube-cbrt |
| 1580× | add-cbrt-cube |
| 164× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 164 | 28 |
| 2 | 2135 | 28 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (+.f64 N 1) N)) |
(/.f64 (+.f64 N 1) N) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (log.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 N) (log.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (log.f64 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 N 1) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 N 1) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (+.f64 N 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 N) -1) (/.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 N 1) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 N (+.f64 N 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N 1) N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) N))))))) |
| 1× | egg-herbie |
| 796× | distribute-lft-in |
| 740× | distribute-rgt-in |
| 694× | unswap-sqr |
| 646× | fma-def |
| 574× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 1609 |
| 1 | 424 | 1559 |
| 2 | 1712 | 1547 |
| 3 | 6886 | 1547 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 N)) |
(+.f64 N (*.f64 -1 (log.f64 N))) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (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))))) |
(/.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 1 (/.f64 1 N)) |
(+.f64 1 (/.f64 1 N)) |
(+.f64 1 (/.f64 1 N)) |
1 |
(+.f64 1 (/.f64 1 N)) |
(+.f64 1 (/.f64 1 N)) |
(+.f64 1 (/.f64 1 N)) |
1 |
(+.f64 1 (/.f64 1 N)) |
(+.f64 1 (/.f64 1 N)) |
(+.f64 1 (/.f64 1 N)) |
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N))) |
(+.f64 (log1p.f64 N) (log.f64 (/.f64 1 N))) |
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))) |
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(-.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (log.f64 (neg.f64 N))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1) |
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1) |
(*.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 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N))))) |
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) |
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)) |
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1) |
(*.f64 1 (/.f64 (+.f64 N 1) N)) |
(*.f64 (+.f64 N 1) (/.f64 1 N)) |
(*.f64 (/.f64 (+.f64 N 1) N) 1) |
(*.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N))) |
(*.f64 (/.f64 1 N) (+.f64 N 1)) |
(*.f64 (+.f64 (neg.f64 N) -1) (/.f64 1 (neg.f64 N))) |
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N))) |
(pow.f64 (/.f64 (+.f64 N 1) N) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1/3) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 N) (log.f64 N))) |
(pow.f64 (/.f64 N (+.f64 N 1)) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 N 1) N))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N 1) N)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) |
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) 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 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))) |
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N)))) |
(+.f64 N (-.f64 (*.f64 (*.f64 -1/2 N) N) (log.f64 N))) |
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2))))) |
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N))))) |
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (*.f64 (*.f64 -1/2 N) N))) |
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)))) |
(/.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 -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 1 N) (-.f64 (/.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 -1/2 (*.f64 N N)))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3))) |
(-.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4))))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 -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 1 N) (-.f64 (/.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 -1/2 (*.f64 N N)))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (/.f64 1/3 (pow.f64 N 3))) |
(-.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (+.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 -1/4 (pow.f64 N 4))))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))) |
(/.f64 1 N) |
(+.f64 1 (/.f64 1 N)) |
(+.f64 1 (/.f64 1 N)) |
(+.f64 1 (/.f64 1 N)) |
1 |
(+.f64 1 (/.f64 1 N)) |
(+.f64 1 (/.f64 1 N)) |
(+.f64 1 (/.f64 1 N)) |
1 |
(+.f64 1 (/.f64 1 N)) |
(+.f64 1 (/.f64 1 N)) |
(+.f64 1 (/.f64 1 N)) |
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(+.f64 (log1p.f64 N) (log.f64 (/.f64 1 N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))))) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))) |
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 1 N))))) |
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(-.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (log.f64 (neg.f64 N))) |
(-.f64 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 N))) |
(-.f64 (log.f64 (-.f64 -1 N)) (log.f64 (neg.f64 N))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 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 (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 (log1p.f64 N) (log.f64 N)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 N) (log1p.f64 N))) |
(*.f64 (/.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log1p.f64 N) (log1p.f64 N)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) |
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1)) |
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) |
(log1p.f64 (+.f64 -1 (+.f64 1 (/.f64 1 N)))) |
(log1p.f64 (+.f64 (/.f64 1 N) 0)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1) |
(+.f64 1 (/.f64 1 N)) |
(*.f64 1 (/.f64 (+.f64 N 1) N)) |
(+.f64 1 (/.f64 1 N)) |
(*.f64 (+.f64 N 1) (/.f64 1 N)) |
(+.f64 1 (/.f64 1 N)) |
(*.f64 (/.f64 (+.f64 N 1) N) 1) |
(+.f64 1 (/.f64 1 N)) |
(*.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N))) |
(+.f64 1 (/.f64 1 N)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N))) |
(+.f64 1 (/.f64 1 N)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (*.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N))) |
(+.f64 1 (/.f64 1 N)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) |
(+.f64 1 (/.f64 1 N)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N))) |
(+.f64 1 (/.f64 1 N)) |
(*.f64 (/.f64 1 N) (+.f64 N 1)) |
(+.f64 1 (/.f64 1 N)) |
(*.f64 (+.f64 (neg.f64 N) -1) (/.f64 1 (neg.f64 N))) |
(+.f64 1 (/.f64 1 N)) |
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N))) |
(+.f64 1 (/.f64 1 N)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N))) |
(/.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 (+.f64 N 1) (*.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N)) |
(+.f64 1 (/.f64 1 N)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N))) |
(/.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 (+.f64 N 1) (*.f64 (cbrt.f64 N) (pow.f64 (cbrt.f64 N) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N)) |
(+.f64 1 (/.f64 1 N)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))) |
(+.f64 1 (/.f64 1 N)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2))) |
(pow.f64 (/.f64 (+.f64 N 1) N) 1) |
(+.f64 1 (/.f64 1 N)) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) 2) |
(+.f64 1 (/.f64 1 N)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3) |
(+.f64 1 (/.f64 1 N)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1/3) |
(+.f64 1 (/.f64 1 N)) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 N) (log.f64 N))) |
(+.f64 1 (/.f64 1 N)) |
(pow.f64 (/.f64 N (+.f64 N 1)) -1) |
(+.f64 1 (/.f64 1 N)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(+.f64 1 (/.f64 1 N)) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(+.f64 1 (/.f64 1 N)) |
(neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N))) |
(+.f64 1 (/.f64 1 N)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)) |
(+.f64 1 (/.f64 1 N)) |
(log.f64 (exp.f64 (/.f64 (+.f64 N 1) N))) |
(+.f64 1 (/.f64 1 N)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 N 1) N)))) |
(+.f64 1 (/.f64 1 N)) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3)) |
(+.f64 1 (/.f64 1 N)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) |
(+.f64 1 (/.f64 1 N)) |
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(+.f64 1 (/.f64 1 N)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) N))) |
(+.f64 1 (/.f64 1 N)) |
Compiled 6 to 4 computations (33.3% saved)
Compiled 7 to 3 computations (57.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) |
| ✓ | 0.2b | (/.f64 1/3 (pow.f64 N 3)) |
| ✓ | 0.3b | (/.f64 1/2 (*.f64 N N)) |
| ✓ | 13.6b | (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
Compiled 51 to 33 computations (35.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | N | @ | 0 | (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
| 0.0ms | N | @ | 0 | (/.f64 1/3 (pow.f64 N 3)) |
| 0.0ms | N | @ | 0 | (/.f64 1/2 (*.f64 N N)) |
| 0.0ms | N | @ | inf | (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
| 0.0ms | N | @ | -inf | (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
| 1× | batch-egg-rewrite |
| 1066× | distribute-lft-in |
| 840× | associate-/l* |
| 814× | associate-/r/ |
| 506× | associate-/l/ |
| 332× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 100 |
| 1 | 332 | 92 |
| 2 | 4722 | 92 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/3 (pow.f64 N 3)) |
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (pow.f64 N -2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 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N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))))))) |
| 1× | egg-herbie |
| 1248× | associate-*r* |
| 938× | associate-/r* |
| 904× | associate-*l* |
| 842× | *-commutative |
| 680× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 747 | 19561 |
| 1 | 2351 | 18933 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/3 (pow.f64 N 3)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(/.f64 -1/2 (pow.f64 N 2)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(/.f64 -1/2 (pow.f64 N 2)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/3 (pow.f64 N 3)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.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 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 1/2 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (pow.f64 N -2) -1/2)) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (*.f64 1 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (*.f64 1 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (*.f64 1 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (*.f64 1/3 (pow.f64 N -3))) |
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
(+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
(+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))) 1) |
(*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 1) |
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))) |
(*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))) |
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2))) (cbrt.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2)))) (/.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (cbrt.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 N -2)) (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) |
(/.f64 (-.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (*.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3))) (*.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (-.f64 (pow.f64 N -2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N))) (-.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1 N)) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1 N))) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2))) (*.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 N -2)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3) 3)) (*.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (-.f64 (pow.f64 N -2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N))) (+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (-.f64 (*.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3)) (*.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1 N)) 3) (/.f64 1/8 (pow.f64 N 6))) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1 N)) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1 N))) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (*.f64 (+.f64 (*.f64 1/3 (pow.f64 N -3)) (/.f64 1 N)) (*.f64 1/2 (pow.f64 N -2)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) 3)) (*.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (+.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (+.f64 (*.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2)) (*.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2)))))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) N) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) 1)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) N)) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))) (neg.f64 N)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) -1)) (*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (neg.f64 N))) |
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) N) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) 1)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) N)) |
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))) (neg.f64 N)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) -1)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) (neg.f64 N))) |
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) N) (*.f64 (pow.f64 N 5) 1)) (pow.f64 N 6)) |
(/.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (neg.f64 N)) (*.f64 (pow.f64 N 5) -1)) (*.f64 (pow.f64 N 5) (neg.f64 N))) |
(/.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))) (*.f64 N (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))))) (*.f64 N (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) |
(/.f64 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))) (*.f64 N (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))))) (*.f64 N (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))))) |
(/.f64 (+.f64 (pow.f64 N 5) (*.f64 N (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)))) (pow.f64 N 6)) |
(/.f64 (+.f64 (*.f64 -1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2)))) (*.f64 (neg.f64 N) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (/.f64 1/4 (pow.f64 N 4))))) (*.f64 (neg.f64 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 1/2 (pow.f64 N -2))))) |
(/.f64 (+.f64 (*.f64 -1 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6))))) (*.f64 (neg.f64 N) (-.f64 (*.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (/.f64 1/8 (pow.f64 N 6))))) (*.f64 (neg.f64 N) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (pow.f64 N 5)) (/.f64 1/9 (pow.f64 N 6)))))) |
(/.f64 (+.f64 (*.f64 -1 (pow.f64 N 5)) (*.f64 (neg.f64 N) (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)))) (*.f64 (neg.f64 N) (pow.f64 N 5))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2))) (neg.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (-.f64 (pow.f64 N -2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N))))) |
(pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 1) |
(pow.f64 (hypot.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (pow.f64 N -1/2)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 3) |
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 2)) |
(log.f64 (exp.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))) |
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) |
(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N)) |
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
| Outputs |
|---|
(/.f64 1/3 (pow.f64 N 3)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/3 (pow.f64 N 3)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (pow.f64 N -2) -1/2)) |
(fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))) |
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(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N)) |
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N)) |
(+.f64 (-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) (/.f64 1 N)) |
(+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (pow.f64 (log1p.f64 N) 2) |
| ✓ | 0.3b | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) |
| ✓ | 0.5b | (pow.f64 (log.f64 N) 2) |
| ✓ | 3.9b | (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) |
Compiled 44 to 20 computations (54.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | N | @ | 0 | (pow.f64 (log.f64 N) 2) |
| 16.0ms | N | @ | -inf | (pow.f64 (log.f64 N) 2) |
| 6.0ms | N | @ | inf | (pow.f64 (log.f64 N) 2) |
| 3.0ms | N | @ | -inf | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) |
| 1.0ms | N | @ | inf | (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) |
| 1× | batch-egg-rewrite |
| 1892× | associate-/r* |
| 1740× | associate-/l* |
| 1258× | associate-/r/ |
| 278× | add-sqr-sqrt |
| 272× | *-un-lft-identity |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 96 |
| 1 | 268 | 64 |
| 2 | 3833 | 64 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) |
(pow.f64 (log.f64 N) 2) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) |
(pow.f64 (log1p.f64 N) 2) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 N) (log1p.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 N) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log1p.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 N)) (*.f64 (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log1p.f64 N)) (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (cbrt.f64 (pow.f64 (log1p.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 N) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) (cbrt.f64 (log1p.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 N) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 N) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log1p.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 2))))))) |
| 1× | egg-herbie |
| 1348× | associate-*r* |
| 1090× | associate-*l* |
| 872× | +-commutative |
| 768× | associate-+r+ |
| 740× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 791 | 21029 |
| 1 | 2350 | 20721 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (pow.f64 (log.f64 N) 2)) |
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 (log.f64 N) 2))) |
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2)))) |
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 11/12 (pow.f64 N 4)) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2))))) |
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) |
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)))) |
(-.f64 (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))) (/.f64 1 (pow.f64 N 3))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))))) (/.f64 1 (pow.f64 N 3))) |
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) |
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2))))))) |
(pow.f64 (log.f64 (/.f64 1 N)) 2) |
(pow.f64 (log.f64 (/.f64 1 N)) 2) |
(pow.f64 (log.f64 (/.f64 1 N)) 2) |
(pow.f64 (log.f64 (/.f64 1 N)) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2) |
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(pow.f64 N 2) |
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(pow.f64 (log.f64 (/.f64 1 N)) 2) |
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(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2) |
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(*.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4))) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) (-.f64 (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (log1p.f64 N) 4)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log1p.f64 N) 4)) (*.f64 (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2)) (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))))) (-.f64 (-.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log.f64 N) 4)) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (pow.f64 (log1p.f64 N) 4) 3) (pow.f64 (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2)) 3))) (+.f64 (*.f64 (pow.f64 (log1p.f64 N) 4) (pow.f64 (log1p.f64 N) 4)) (-.f64 (*.f64 (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2)) (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))) (*.f64 (pow.f64 (log1p.f64 N) 4) (+.f64 (pow.f64 (log.f64 N) 4) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 2)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (-.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) |
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1) |
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) |
(log.f64 (exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(log.f64 (/.f64 (+.f64 N 1) N)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N))) |
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) |
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2))) 1) |
(*.f64 (log1p.f64 N) (log1p.f64 N)) |
(*.f64 (pow.f64 (log1p.f64 N) 2) 1) |
(*.f64 1 (pow.f64 (log1p.f64 N) 2)) |
(*.f64 (sqrt.f64 (log1p.f64 N)) (*.f64 (sqrt.f64 (log1p.f64 N)) (log1p.f64 N))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log1p.f64 N)) (log1p.f64 N))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) |
(*.f64 (*.f64 (log1p.f64 N) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N))) |
(*.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) (cbrt.f64 (log1p.f64 N))) |
(sqrt.f64 (pow.f64 (log1p.f64 N) 4)) |
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2)))) |
(cbrt.f64 (pow.f64 (log1p.f64 N) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2))) |
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 N)))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 N))) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 2))) |
| Outputs |
|---|
(*.f64 -1 (pow.f64 (log.f64 N) 2)) |
(neg.f64 (pow.f64 (log.f64 N) 2)) |
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 (log.f64 N) 2))) |
(+.f64 (*.f64 N N) (neg.f64 (pow.f64 (log.f64 N) 2))) |
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2)))) |
(+.f64 (*.f64 N N) (*.f64 -1 (+.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2)))) |
(+.f64 (*.f64 N N) (*.f64 -1 (+.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3)))) |
(+.f64 (pow.f64 N 2) (+.f64 (*.f64 11/12 (pow.f64 N 4)) (+.f64 (*.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2))))) |
(+.f64 (*.f64 N N) (fma.f64 11/12 (pow.f64 N 4) (*.f64 -1 (+.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2))))) |
(+.f64 (*.f64 N N) (fma.f64 11/12 (pow.f64 N 4) (*.f64 -1 (+.f64 (pow.f64 (log.f64 N) 2) (pow.f64 N 3))))) |
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)) |
(*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) |
(/.f64 (*.f64 2 (log.f64 N)) N) |
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N)))) |
(+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 1 (*.f64 N N)))) |
(+.f64 (/.f64 (*.f64 2 (log.f64 N)) N) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 1 (*.f64 N N)))) |
(-.f64 (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))) (/.f64 1 (pow.f64 N 3))) |
(-.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 1 (*.f64 N N))))) (/.f64 1 (pow.f64 N 3))) |
(-.f64 (+.f64 (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 1 (*.f64 N N))) (+.f64 (/.f64 (*.f64 2 (log.f64 N)) N) (/.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N 3)))) (/.f64 1 (pow.f64 N 3))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))))) (/.f64 1 (pow.f64 N 3))) |
(-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (+.f64 (*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 1 (*.f64 N N))))) (/.f64 11/12 (pow.f64 N 4)))) (/.f64 1 (pow.f64 N 3))) |
(+.f64 (/.f64 (*.f64 (log.f64 N) -1/2) (pow.f64 N 4)) (+.f64 (+.f64 (+.f64 (/.f64 (neg.f64 (log.f64 N)) (*.f64 N N)) (/.f64 1 (*.f64 N N))) (+.f64 (/.f64 (*.f64 2 (log.f64 N)) N) (/.f64 (*.f64 (log.f64 N) 2/3) (pow.f64 N 3)))) (-.f64 (/.f64 11/12 (pow.f64 N 4)) (/.f64 1 (pow.f64 N 3))))) |
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) |
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N)) |
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (/.f64 1 (pow.f64 N 2)))) |
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N)) (/.f64 1 (*.f64 N N)))) |
(+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2))))) |
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)) (/.f64 1 (*.f64 N N))))) |
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (*.f64 2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2))))))) |
(fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4)) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (*.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (*.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)) (/.f64 1 (*.f64 N N))))))) |
(pow.f64 (log.f64 (/.f64 1 N)) 2) |
(pow.f64 (neg.f64 (log.f64 N)) 2) |
(pow.f64 (log.f64 (/.f64 1 N)) 2) |
(pow.f64 (neg.f64 (log.f64 N)) 2) |
(pow.f64 (log.f64 (/.f64 1 N)) 2) |
(pow.f64 (neg.f64 (log.f64 N)) 2) |
(pow.f64 (log.f64 (/.f64 1 N)) 2) |
(pow.f64 (neg.f64 (log.f64 N)) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2) |
(*.f64 -1 (log.f64 N)) |
(neg.f64 (log.f64 N)) |
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (-.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 N) (log1p.f64 N))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) |
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (*.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (pow.f64 (log.f64 N) 2))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)))) (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (log1p.f64 N) (log.f64 N)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N)))) (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) |
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (-.f64 (*.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log.f64 N) (log1p.f64 N))))) (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(pow.f64 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N))) -1) |
(/.f64 1 (/.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (neg.f64 (+.f64 (log1p.f64 N) (log.f64 N))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (-.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) |
(log.f64 (exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log.f64 (/.f64 (+.f64 N 1) N)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) 3) (pow.f64 (+.f64 (log.f64 N) (log1p.f64 N)) 3))) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N))) |
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) |
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2))) 1) |
(pow.f64 (log1p.f64 N) 2) |
(*.f64 (log1p.f64 N) (log1p.f64 N)) |
(pow.f64 (log1p.f64 N) 2) |
(*.f64 (pow.f64 (log1p.f64 N) 2) 1) |
(pow.f64 (log1p.f64 N) 2) |
(*.f64 1 (pow.f64 (log1p.f64 N) 2)) |
(pow.f64 (log1p.f64 N) 2) |
(*.f64 (sqrt.f64 (log1p.f64 N)) (*.f64 (sqrt.f64 (log1p.f64 N)) (log1p.f64 N))) |
(*.f64 (log1p.f64 N) (*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (pow.f64 (log1p.f64 N) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (cbrt.f64 (log1p.f64 N)) (log1p.f64 N))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N)))) |
(*.f64 (log1p.f64 N) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) |
(*.f64 (*.f64 (log1p.f64 N) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N))) |
(*.f64 (log1p.f64 N) (*.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)))) |
(*.f64 (*.f64 (log1p.f64 N) (cbrt.f64 (pow.f64 (log1p.f64 N) 2))) (cbrt.f64 (log1p.f64 N))) |
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (*.f64 (log1p.f64 N) (cbrt.f64 (log1p.f64 N)))) |
(*.f64 (log1p.f64 N) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)))) |
(sqrt.f64 (pow.f64 (log1p.f64 N) 4)) |
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2))) |
(pow.f64 (log1p.f64 N) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2)))) |
(pow.f64 (log1p.f64 N) 2) |
(cbrt.f64 (pow.f64 (log1p.f64 N) 6)) |
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2))) |
(pow.f64 (log1p.f64 N) 2) |
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 N)))) |
(pow.f64 (exp.f64 2) (log.f64 (log1p.f64 N))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (log1p.f64 N))) 1)) |
(pow.f64 (exp.f64 2) (log.f64 (log1p.f64 N))) |
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 2))) |
(pow.f64 (log1p.f64 N) 2) |
Compiled 34294 to 22802 computations (33.5% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1053 | 3 | 1056 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 1059 | 7 | 1066 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.8b | (/.f64 1 (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
| ✓ | 30.5b | (/.f64 1 N) |
| ▶ | 32.1b | (-.f64 N (log.f64 N)) |
| ▶ | 31.3b | (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) |
| ▶ | 30.8b | (+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N)))) |
| ✓ | 33.0b | (neg.f64 (log.f64 N)) |
| ▶ | 0.0b | (log1p.f64 (+.f64 (/.f64 1 N) 0)) |
Compiled 130 to 96 computations (26.2% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 (+.f64 (/.f64 1 N) 0)) |
Compiled 18 to 14 computations (22.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | -inf | (log1p.f64 (+.f64 (/.f64 1 N) 0)) |
| 0.0ms | N | @ | 0 | (log1p.f64 (+.f64 (/.f64 1 N) 0)) |
| 0.0ms | N | @ | inf | (log1p.f64 (+.f64 (/.f64 1 N) 0)) |
| 1× | batch-egg-rewrite |
| 1312× | add-sqr-sqrt |
| 1290× | *-un-lft-identity |
| 1210× | add-cube-cbrt |
| 1198× | add-cbrt-cube |
| 1186× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 11 |
| 1 | 183 | 11 |
| 2 | 1973 | 11 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (+.f64 (/.f64 1 N) 0)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))))) |
| 1× | egg-herbie |
| 900× | fma-def |
| 878× | associate-/r* |
| 830× | *-commutative |
| 774× | associate-*r/ |
| 660× | associate-*r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 717 |
| 1 | 152 | 619 |
| 2 | 582 | 523 |
| 3 | 2222 | 515 |
| 4 | 5340 | 515 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 N)) |
(+.f64 N (*.f64 -1 (log.f64 N))) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (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))))) |
(/.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 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1) |
(*.f64 1 (log1p.f64 (/.f64 1 N))) |
(*.f64 (log1p.f64 (/.f64 1 N)) 1) |
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))) |
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) |
(pow.f64 (log1p.f64 (/.f64 1 N)) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) |
(log.f64 (+.f64 1 (/.f64 1 N))) |
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) |
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 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 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))) |
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N)))) |
(+.f64 (-.f64 N (log.f64 N)) (*.f64 N (*.f64 N -1/2))) |
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)) |
(-.f64 (*.f64 N (fma.f64 N -1/2 1)) (log.f64 N)) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2))))) |
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N))))) |
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (*.f64 N (*.f64 N -1/2)))) |
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)))) |
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) 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 -1/2 (*.f64 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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3))) |
(-.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) |
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 -1/2 (*.f64 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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3))) |
(-.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) |
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))) |
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(*.f64 1 (log1p.f64 (/.f64 1 N))) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(*.f64 (log1p.f64 (/.f64 1 N)) 1) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(pow.f64 (log1p.f64 (/.f64 1 N)) 1) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(log.f64 (+.f64 1 (/.f64 1 N))) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) |
| ✓ | 0.1b | (/.f64 (/.f64 -1/2 N) N) |
Compiled 24 to 16 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | 0 | (/.f64 (/.f64 -1/2 N) N) |
| 0.0ms | N | @ | inf | (/.f64 (/.f64 -1/2 N) N) |
| 0.0ms | N | @ | -inf | (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) |
| 0.0ms | N | @ | 0 | (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) |
| 0.0ms | N | @ | inf | (+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) |
| 1× | batch-egg-rewrite |
| 1150× | associate-/l* |
| 980× | *-commutative |
| 648× | associate-/r/ |
| 564× | swap-sqr |
| 444× | associate-/l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 1 | 203 | 38 |
| 2 | 2888 | 38 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 -1/2 N) N) |
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (/.f64 -1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -1/2) (*.f64 (/.f64 -1/2 N) (pow.f64 N -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -1/2) (/.f64 -1/2 (*.f64 N (sqrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/2 N)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1/2) N) (/.f64 (sqrt.f64 -1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 N)) (*.f64 (/.f64 -1/2 N) (cbrt.f64 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 -1/2 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 N) (/.f64 -1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 N) (pow.f64 N -1/2)) (pow.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1/2 N) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (sqrt.f64 N)) (/.f64 (pow.f64 N -1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (*.f64 N (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (*.f64 N (sqrt.f64 N))) (pow.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 (*.f64 N (cbrt.f64 N))) (/.f64 1 (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 N -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 N) (/.f64 1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 N -1/2) N) (/.f64 -1/2 (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 N (cbrt.f64 N))) (/.f64 -1/2 (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) N) (sqrt.f64 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (cbrt.f64 N)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 -1/2 N)) N) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 -1/2 N)) (sqrt.f64 N)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) N) (cbrt.f64 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 N) 1) (/.f64 -1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 N) (neg.f64 N)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 N (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2))) (cbrt.f64 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 1)))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 N) (/.f64 1 N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -1/2) N) (/.f64 (sqrt.f64 -1/2) N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (/.f64 1 N)))))) |
| 1× | egg-herbie |
| 1814× | distribute-lft-in |
| 1782× | distribute-rgt-in |
| 880× | associate-/r/ |
| 520× | *-commutative |
| 458× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 392 | 6766 |
| 1 | 1203 | 5576 |
| 2 | 4872 | 5536 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (pow.f64 N 2)) |
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1 N) (*.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1 N) (*.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 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2)))) 1) |
(*.f64 -1/2 (pow.f64 N -2)) |
(*.f64 (/.f64 -1/2 N) (/.f64 1 N)) |
(*.f64 (*.f64 -1/2 (pow.f64 N -2)) 1) |
(*.f64 1 (*.f64 -1/2 (pow.f64 N -2))) |
(*.f64 (/.f64 1 N) (/.f64 -1/2 N)) |
(*.f64 (pow.f64 N -1/2) (*.f64 (/.f64 -1/2 N) (pow.f64 N -1/2))) |
(*.f64 (pow.f64 N -1/2) (/.f64 -1/2 (*.f64 N (sqrt.f64 N)))) |
(*.f64 (sqrt.f64 (/.f64 -1/2 N)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) N)) |
(*.f64 (/.f64 (sqrt.f64 -1/2) N) (/.f64 (sqrt.f64 -1/2) N)) |
(*.f64 (/.f64 1 (cbrt.f64 N)) (*.f64 (/.f64 -1/2 N) (cbrt.f64 (pow.f64 N -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 -1/2 N)))) |
(*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2)) |
(*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2)))) |
(*.f64 (pow.f64 N -2) -1/2) |
(*.f64 (/.f64 1/2 N) (/.f64 -1 N)) |
(*.f64 (*.f64 (/.f64 -1/2 N) (pow.f64 N -1/2)) (pow.f64 N -1/2)) |
(*.f64 (*.f64 (/.f64 -1/2 N) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N))) |
(*.f64 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N)))) |
(*.f64 (/.f64 -1/2 (sqrt.f64 N)) (/.f64 (pow.f64 N -1/2) N)) |
(*.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (*.f64 N (cbrt.f64 N)))) |
(*.f64 (/.f64 -1/2 (*.f64 N (sqrt.f64 N))) (pow.f64 N -1/2)) |
(*.f64 (/.f64 (/.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N))) |
(*.f64 (/.f64 -1/2 (*.f64 N (cbrt.f64 N))) (/.f64 1 (pow.f64 (cbrt.f64 N) 2))) |
(*.f64 (*.f64 1/2 (pow.f64 N -2)) -1) |
(*.f64 (/.f64 -1 N) (/.f64 1/2 N)) |
(*.f64 (/.f64 (pow.f64 N -1/2) N) (/.f64 -1/2 (sqrt.f64 N))) |
(*.f64 (/.f64 1 (*.f64 N (cbrt.f64 N))) (/.f64 -1/2 (pow.f64 (cbrt.f64 N) 2))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) N) (sqrt.f64 (/.f64 -1/2 N))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (cbrt.f64 N))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (cbrt.f64 N)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) N)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 -1/2 N)) N) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) (sqrt.f64 N))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 -1/2 N)) (sqrt.f64 N)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (sqrt.f64 N))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) N) (cbrt.f64 (/.f64 -1/2 N))) |
(*.f64 (/.f64 (/.f64 1 N) 1) (/.f64 -1/2 N)) |
(*.f64 (/.f64 (/.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (cbrt.f64 N))) |
(*.f64 (/.f64 (/.f64 1 N) (neg.f64 N)) 1/2) |
(*.f64 (/.f64 1 (/.f64 N (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2))) (cbrt.f64 (/.f64 -1/2 N))) |
(pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 -1/2) N) 2) |
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 3) |
(pow.f64 (*.f64 N (*.f64 N -2)) -1) |
(pow.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)) 1/3) |
(neg.f64 (*.f64 1/2 (pow.f64 N -2))) |
(sqrt.f64 (/.f64 1/4 (*.f64 N (pow.f64 N 3)))) |
(log.f64 (exp.f64 (*.f64 -1/2 (pow.f64 N -2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2))))) |
(cbrt.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))) |
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2)))) |
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 N -2)))) |
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 N -2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 N))) (-.f64 1 (*.f64 -1/2 (pow.f64 N -2)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2)))) (-.f64 1 (/.f64 1 N))) |
(-.f64 (*.f64 (/.f64 (pow.f64 N -2) (+.f64 1 (/.f64 1/2 N))) N) (*.f64 (/.f64 (/.f64 1/4 (*.f64 N (pow.f64 N 3))) (+.f64 1 (/.f64 1/2 N))) N)) |
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (exp.f64 (log1p.f64 (/.f64 1 N)))) 1) |
(-.f64 (+.f64 (/.f64 1 N) (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2))))) 1) |
(*.f64 1 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))) |
(*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) |
(*.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) 1) |
(*.f64 (pow.f64 N -1/2) (+.f64 (/.f64 -1/2 (*.f64 N (sqrt.f64 N))) (pow.f64 N -1/2))) |
(*.f64 (pow.f64 N -1/2) (+.f64 (pow.f64 N -1/2) (/.f64 -1/2 (*.f64 N (sqrt.f64 N))))) |
(*.f64 (pow.f64 N -1/2) (+.f64 (*.f64 (/.f64 -1/2 N) (pow.f64 N -1/2)) (pow.f64 N -1/2))) |
(*.f64 (pow.f64 N -1/2) (+.f64 (pow.f64 N -1/2) (*.f64 (/.f64 -1/2 N) (pow.f64 N -1/2)))) |
(*.f64 (hypot.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 -1/2) N)) (hypot.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 -1/2) N))) |
(*.f64 (/.f64 1 (cbrt.f64 N)) (+.f64 (*.f64 (/.f64 -1/2 N) (cbrt.f64 (pow.f64 N -2))) (cbrt.f64 (pow.f64 N -2)))) |
(*.f64 (/.f64 1 (cbrt.f64 N)) (+.f64 (cbrt.f64 (pow.f64 N -2)) (*.f64 (/.f64 -1/2 N) (cbrt.f64 (pow.f64 N -2))))) |
(*.f64 (cbrt.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))) 2) (cbrt.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)))) |
(*.f64 (pow.f64 N -2) (+.f64 N (/.f64 N (*.f64 N -2)))) |
(*.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))) (*.f64 (/.f64 1 (+.f64 1 (/.f64 1/2 N))) N)) |
(*.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))) (/.f64 1 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1))))) |
(*.f64 (+.f64 N (/.f64 N (*.f64 N -2))) (pow.f64 N -2)) |
(*.f64 (+.f64 (/.f64 -1/2 N) 1) (/.f64 1 N)) |
(*.f64 (*.f64 (/.f64 1 (+.f64 1 (/.f64 1/2 N))) N) (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1)))) (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))) |
(*.f64 (/.f64 -1 N) (+.f64 (/.f64 1/2 N) -1)) |
(*.f64 (/.f64 -1 N) (+.f64 -1 (/.f64 1/2 N))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))) (+.f64 1 (/.f64 1/2 N))) N) |
(*.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))) (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3))))) (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))) (+.f64 N (*.f64 N (/.f64 1/2 N)))) (*.f64 N N)) |
(*.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))) (-.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))) (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 N) 1)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))) (+.f64 -1 (/.f64 -1/2 N))) (neg.f64 N)) |
(*.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))) (*.f64 N (-.f64 N -1/2))) (pow.f64 N 3)) |
(*.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))) (-.f64 (*.f64 N (*.f64 N -2)) N)) (*.f64 N (*.f64 N (*.f64 N -2)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))) (+.f64 (*.f64 N (neg.f64 N)) (*.f64 -1/2 N))) (neg.f64 (pow.f64 N 3))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))) (+.f64 (neg.f64 N) (/.f64 N (*.f64 N -2)))) (*.f64 N (neg.f64 N))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))) (+.f64 (*.f64 N (*.f64 N 2)) N)) (*.f64 (*.f64 N (*.f64 N -2)) (neg.f64 N))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))) (-.f64 (*.f64 (/.f64 1 N) (pow.f64 N -3)) (*.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1)) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1))))) (-.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))) (+.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1)) 3))) (+.f64 (*.f64 (/.f64 1 N) (pow.f64 N -3)) (*.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1)) (-.f64 (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1)) (pow.f64 N -2))))) |
(*.f64 (/.f64 (/.f64 (+.f64 N (/.f64 N (*.f64 N -2))) N) 1) (/.f64 1 N)) |
(*.f64 (/.f64 (/.f64 (+.f64 N (/.f64 N (*.f64 N -2))) N) (sqrt.f64 N)) (pow.f64 N -1/2)) |
(*.f64 (/.f64 (/.f64 (+.f64 N (/.f64 N (*.f64 N -2))) N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N))) |
(*.f64 (/.f64 (/.f64 (+.f64 N (/.f64 N (*.f64 N -2))) N) (neg.f64 N)) -1) |
(/.f64 1 (/.f64 N (/.f64 (+.f64 N (/.f64 N (*.f64 N -2))) N))) |
(/.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) (/.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N) (/.f64 (+.f64 1 (/.f64 1/2 N)) N))) |
(/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))) (/.f64 (+.f64 1 (/.f64 1/2 N)) N)) |
(/.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))) (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1)))) |
(/.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1))) (/.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1))) (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)))) |
(/.f64 (+.f64 N (/.f64 N (*.f64 N -2))) (*.f64 N N)) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3))))) (/.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N) (sqrt.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3))))))) |
(/.f64 (sqrt.f64 (+.f64 N (/.f64 N (*.f64 N -2)))) (/.f64 (*.f64 N N) (sqrt.f64 (+.f64 N (/.f64 N (*.f64 N -2)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))) (/.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1))) (sqrt.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3))))) (cbrt.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))))) (/.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N) (cbrt.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3))))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 N (/.f64 N (*.f64 N -2)))) (cbrt.f64 (+.f64 N (/.f64 N (*.f64 N -2))))) (/.f64 (*.f64 N N) (cbrt.f64 (+.f64 N (/.f64 N (*.f64 N -2)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))) (cbrt.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))))) (/.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1))) (cbrt.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))))) |
(/.f64 (/.f64 (+.f64 N (/.f64 N (*.f64 N -2))) N) N) |
(/.f64 (-.f64 (/.f64 1/4 (*.f64 N (pow.f64 N 3))) (pow.f64 N -2)) (*.f64 (/.f64 -1 N) (-.f64 (/.f64 1/2 N) -1))) |
(/.f64 (-.f64 (*.f64 N N) (*.f64 (*.f64 (pow.f64 N -2) 1/4) (*.f64 N N))) (*.f64 (*.f64 N N) (+.f64 N (*.f64 N (/.f64 1/2 N))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (*.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))) (*.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1))) (-.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))))) |
(/.f64 (-.f64 (*.f64 (/.f64 1 N) (pow.f64 N -3)) (*.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))) (*.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N) (+.f64 (pow.f64 N -2) (/.f64 1/4 (*.f64 N (pow.f64 N 3)))))) |
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (/.f64 N (*.f64 N -2)) 3)) (*.f64 (*.f64 N N) (+.f64 (*.f64 N N) (*.f64 (/.f64 N (*.f64 N -2)) (-.f64 (/.f64 N (*.f64 N -2)) N))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)) 3)) (*.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1))) (+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (*.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)) (-.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)) (pow.f64 N -3)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (/.f64 1/4 (*.f64 N (pow.f64 N 3))) 3)) (*.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N) (+.f64 (*.f64 (/.f64 1 N) (pow.f64 N -3)) (*.f64 (/.f64 1/4 (*.f64 N (pow.f64 N 3))) (+.f64 (pow.f64 N -2) (/.f64 1/4 (*.f64 N (pow.f64 N 3)))))))) |
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (neg.f64 (*.f64 -1/2 N))) (neg.f64 (pow.f64 N 3))) |
(/.f64 (+.f64 (neg.f64 N) (*.f64 N (*.f64 N 2))) (*.f64 (*.f64 N (*.f64 N -2)) (neg.f64 N))) |
(/.f64 (+.f64 N (*.f64 (neg.f64 N) (/.f64 1/2 N))) (*.f64 N N)) |
(/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3)) |
(/.f64 (+.f64 N (*.f64 N (*.f64 N -2))) (*.f64 N (*.f64 N (*.f64 N -2)))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 N -2)) (/.f64 1/4 (*.f64 N (pow.f64 N 3)))) (/.f64 (neg.f64 (+.f64 1 (/.f64 1/2 N))) N)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))) (neg.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1))))) |
(/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (*.f64 N (neg.f64 N))) |
(pow.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) 1) |
(pow.f64 (hypot.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 -1/2) N)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))) (/.f64 (neg.f64 (+.f64 1 (/.f64 1/2 N))) N))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))) (neg.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1)))))) |
(neg.f64 (/.f64 (+.f64 N (/.f64 N (*.f64 N -2))) (*.f64 N (neg.f64 N)))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)))) |
(exp.f64 (log.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)))) |
(fma.f64 (/.f64 -1/2 N) (/.f64 1 N) (/.f64 1 N)) |
(fma.f64 1 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)) |
(fma.f64 1 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) |
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 -1/2 (pow.f64 N -2))) |
(fma.f64 (/.f64 (sqrt.f64 -1/2) N) (/.f64 (sqrt.f64 -1/2) N) (/.f64 1 N)) |
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (/.f64 1 N)) |
| Outputs |
|---|
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) 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 (pow.f64 N -2) (+.f64 -1/2 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 (pow.f64 N -2) (+.f64 -1/2 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 (pow.f64 N -2) (+.f64 -1/2 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 (pow.f64 N -2) (+.f64 -1/2 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 (pow.f64 N -2) (+.f64 -1/2 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 (pow.f64 N -2) (+.f64 -1/2 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 (pow.f64 N -2) (+.f64 -1/2 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 (pow.f64 N -2) (+.f64 -1/2 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 (pow.f64 N -2) (+.f64 -1/2 N)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 N -2)))) 1) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 -1/2 (pow.f64 N -2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (/.f64 -1/2 N) (/.f64 1 N)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (*.f64 -1/2 (pow.f64 N -2)) 1) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 1 (*.f64 -1/2 (pow.f64 N -2))) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (/.f64 1 N) (/.f64 -1/2 N)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (pow.f64 N -1/2) (*.f64 (/.f64 -1/2 N) (pow.f64 N -1/2))) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (pow.f64 N -1/2) (/.f64 -1/2 (*.f64 N (sqrt.f64 N)))) |
(/.f64 (*.f64 (pow.f64 N -1/2) -1/2) (*.f64 N (sqrt.f64 N))) |
(*.f64 (/.f64 -1/2 N) (/.f64 (pow.f64 N -1/2) (sqrt.f64 N))) |
(*.f64 (sqrt.f64 (/.f64 -1/2 N)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) N)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (/.f64 (sqrt.f64 -1/2) N) (/.f64 (sqrt.f64 -1/2) N)) |
(pow.f64 (/.f64 (sqrt.f64 -1/2) N) 2) |
(*.f64 (/.f64 1 (cbrt.f64 N)) (*.f64 (/.f64 -1/2 N) (cbrt.f64 (pow.f64 N -2)))) |
(*.f64 (/.f64 -1/2 N) (*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)))) |
(*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (/.f64 -1/2 N) (cbrt.f64 N))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 -1/2 N)))) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (pow.f64 (cbrt.f64 N) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2)))) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 (cbrt.f64 (/.f64 (/.f64 -1/2 N) N)) (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2)))) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (pow.f64 N -2) -1/2) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (/.f64 1/2 N) (/.f64 -1 N)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (*.f64 (/.f64 -1/2 N) (pow.f64 N -1/2)) (pow.f64 N -1/2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (*.f64 (/.f64 -1/2 N) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N))) |
(*.f64 (/.f64 -1/2 N) (*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)))) |
(*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (/.f64 -1/2 N) (cbrt.f64 N))) |
(*.f64 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N)))) |
(/.f64 (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2)) |
(*.f64 (/.f64 -1/2 (sqrt.f64 N)) (/.f64 (pow.f64 N -1/2) N)) |
(/.f64 (*.f64 (pow.f64 N -1/2) -1/2) (*.f64 N (sqrt.f64 N))) |
(*.f64 (/.f64 -1/2 N) (/.f64 (pow.f64 N -1/2) (sqrt.f64 N))) |
(*.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (*.f64 N (cbrt.f64 N)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N)))) |
(/.f64 (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2)) |
(*.f64 (/.f64 -1/2 (*.f64 N (sqrt.f64 N))) (pow.f64 N -1/2)) |
(/.f64 (*.f64 (pow.f64 N -1/2) -1/2) (*.f64 N (sqrt.f64 N))) |
(*.f64 (/.f64 -1/2 N) (/.f64 (pow.f64 N -1/2) (sqrt.f64 N))) |
(*.f64 (/.f64 (/.f64 -1/2 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N)))) |
(/.f64 (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2)) |
(*.f64 (/.f64 -1/2 (*.f64 N (cbrt.f64 N))) (/.f64 1 (pow.f64 (cbrt.f64 N) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N)))) |
(/.f64 (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2)) |
(*.f64 (*.f64 1/2 (pow.f64 N -2)) -1) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (/.f64 -1 N) (/.f64 1/2 N)) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (/.f64 (pow.f64 N -1/2) N) (/.f64 -1/2 (sqrt.f64 N))) |
(/.f64 (*.f64 (pow.f64 N -1/2) -1/2) (*.f64 N (sqrt.f64 N))) |
(*.f64 (/.f64 -1/2 N) (/.f64 (pow.f64 N -1/2) (sqrt.f64 N))) |
(*.f64 (/.f64 1 (*.f64 N (cbrt.f64 N))) (/.f64 -1/2 (pow.f64 (cbrt.f64 N) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N)))) |
(/.f64 (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) N) (sqrt.f64 (/.f64 -1/2 N))) |
(/.f64 -1/2 (*.f64 N N)) |
(/.f64 (/.f64 -1/2 N) N) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (cbrt.f64 N))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N)))) |
(/.f64 (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (cbrt.f64 N)) (/.f64 (sqrt.f64 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 -1/2 (*.f64 N (cbrt.f64 N)))) |
(/.f64 (/.f64 (/.f64 -1/2 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1/2 N)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -1/2 N)) N)) |
(/.f64 -1/2 (*.f64 N N)) |
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(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 N -3) 3) (/.f64 -1/512 (pow.f64 (pow.f64 N 6) 3))) (fma.f64 (/.f64 -1/2 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 N) -1) (pow.f64 N -2))) (fma.f64 (/.f64 -1/8 (pow.f64 N 6)) (-.f64 (/.f64 -1/8 (pow.f64 N 6)) (pow.f64 N -3)) (pow.f64 N -6))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (/.f64 1/4 (*.f64 N (pow.f64 N 3))) 3)) (*.f64 (/.f64 (+.f64 1 (/.f64 1/2 N)) N) (+.f64 (*.f64 (/.f64 1 N) (pow.f64 N -3)) (*.f64 (/.f64 1/4 (*.f64 N (pow.f64 N 3))) (+.f64 (pow.f64 N -2) (/.f64 1/4 (*.f64 N (pow.f64 N 3)))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (/.f64 (/.f64 1/4 N) (pow.f64 N 3)) 3)) (/.f64 (+.f64 1 (/.f64 1/2 N)) N)) (fma.f64 (/.f64 1 N) (pow.f64 N -3) (*.f64 (/.f64 (/.f64 1/4 N) (pow.f64 N 3)) (+.f64 (pow.f64 N -2) (/.f64 (/.f64 1/4 N) (pow.f64 N 3)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 N -2) 3) (/.f64 -1/64 (pow.f64 (pow.f64 N 4) 3))) (/.f64 (+.f64 1 (/.f64 1/2 N)) N)) (fma.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (pow.f64 N -2) (/.f64 1/4 (pow.f64 N 4))) (/.f64 (pow.f64 N -3) N))) |
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (neg.f64 (*.f64 -1/2 N))) (neg.f64 (pow.f64 N 3))) |
(/.f64 (fma.f64 N (neg.f64 N) (*.f64 1/2 N)) (neg.f64 (pow.f64 N 3))) |
(/.f64 (*.f64 N (+.f64 1/2 (neg.f64 N))) (neg.f64 (pow.f64 N 3))) |
(/.f64 (*.f64 N (-.f64 1/2 N)) (neg.f64 (pow.f64 N 3))) |
(/.f64 (+.f64 (neg.f64 N) (*.f64 N (*.f64 N 2))) (*.f64 (*.f64 N (*.f64 N -2)) (neg.f64 N))) |
(/.f64 (+.f64 (neg.f64 N) (*.f64 N (*.f64 N 2))) (*.f64 N (*.f64 (*.f64 N -2) (neg.f64 N)))) |
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (neg.f64 (pow.f64 N 3)) -2)) |
(/.f64 (+.f64 N (*.f64 (neg.f64 N) (/.f64 1/2 N))) (*.f64 N N)) |
(*.f64 (/.f64 1 N) (/.f64 (+.f64 N (/.f64 N (*.f64 N -2))) N)) |
(/.f64 (+.f64 -1/2 N) (*.f64 N N)) |
(/.f64 (*.f64 N (+.f64 N -1/2)) (pow.f64 N 3)) |
(*.f64 (/.f64 1 N) (/.f64 (+.f64 N (/.f64 N (*.f64 N -2))) N)) |
(/.f64 (+.f64 -1/2 N) (*.f64 N N)) |
(/.f64 (+.f64 N (*.f64 N (*.f64 N -2))) (*.f64 N (*.f64 N (*.f64 N -2)))) |
(/.f64 (+.f64 N (*.f64 N (*.f64 N -2))) (*.f64 (*.f64 N N) (*.f64 N -2))) |
(/.f64 (fma.f64 N (*.f64 N -2) N) (*.f64 (pow.f64 N 3) -2)) |
(/.f64 (+.f64 (neg.f64 (pow.f64 N -2)) (/.f64 1/4 (*.f64 N (pow.f64 N 3)))) (/.f64 (neg.f64 (+.f64 1 (/.f64 1/2 N))) N)) |
(/.f64 (-.f64 (/.f64 (/.f64 1/4 N) (pow.f64 N 3)) (pow.f64 N -2)) (/.f64 (+.f64 -1 (neg.f64 (/.f64 1/2 N))) N)) |
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 N 4)) (pow.f64 N -2)) (/.f64 (+.f64 (/.f64 -1/2 N) -1) N)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)))) (neg.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)) (pow.f64 N -3))) (neg.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 N) -1))))) |
(/.f64 (-.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 N -3)) (-.f64 (*.f64 (+.f64 (/.f64 -1/2 N) -1) (/.f64 1/2 (pow.f64 N 3))) (pow.f64 N -2))) |
(/.f64 (+.f64 (neg.f64 N) (*.f64 N (/.f64 1/2 N))) (*.f64 N (neg.f64 N))) |
(/.f64 (neg.f64 (+.f64 N (/.f64 N (*.f64 N -2)))) (*.f64 N (neg.f64 N))) |
(/.f64 (+.f64 1/2 (neg.f64 N)) (*.f64 N (neg.f64 N))) |
(/.f64 (/.f64 (-.f64 1/2 N) N) (neg.f64 N)) |
(pow.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) 1) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N)) |
(pow.f64 (hypot.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 -1/2) N)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))) 3) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) 3) 1/3) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N)) |
(neg.f64 (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (*.f64 N (pow.f64 N 3)))) (/.f64 (neg.f64 (+.f64 1 (/.f64 1/2 N))) N))) |
(*.f64 (neg.f64 N) (/.f64 (+.f64 (pow.f64 N -2) (/.f64 (/.f64 -1/4 N) (pow.f64 N 3))) (+.f64 (/.f64 -1/2 N) -1))) |
(*.f64 (neg.f64 N) (/.f64 (+.f64 (pow.f64 N -2) (/.f64 -1/4 (pow.f64 N 4))) (+.f64 (/.f64 -1/2 N) -1))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))) (neg.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (-.f64 (/.f64 -1/2 N) 1)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 -1/8 (pow.f64 (*.f64 N N) 3)) (pow.f64 N -3))) (neg.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 -1/2 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 N) -1))))) |
(/.f64 (-.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 N -3)) (-.f64 (*.f64 (+.f64 (/.f64 -1/2 N) -1) (/.f64 1/2 (pow.f64 N 3))) (pow.f64 N -2))) |
(neg.f64 (/.f64 (+.f64 N (/.f64 N (*.f64 N -2))) (*.f64 N (neg.f64 N)))) |
(/.f64 (neg.f64 (+.f64 N (/.f64 N (*.f64 N -2)))) (*.f64 N (neg.f64 N))) |
(/.f64 (+.f64 1/2 (neg.f64 N)) (*.f64 N (neg.f64 N))) |
(/.f64 (/.f64 (-.f64 1/2 N) N) (neg.f64 N)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N))) 2)) |
(fabs.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 N))) |
(log.f64 (exp.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1))))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N)) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)) 3)) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N)) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N)) |
(exp.f64 (log.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1 N) (+.f64 (/.f64 -1/2 N) 1)))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N)) |
(fma.f64 (/.f64 -1/2 N) (/.f64 1 N) (/.f64 1 N)) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N)) |
(fma.f64 1 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N)) |
(fma.f64 1 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N)) |
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 -1/2 (pow.f64 N -2))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N)) |
(fma.f64 (/.f64 (sqrt.f64 -1/2) N) (/.f64 (sqrt.f64 -1/2) N) (/.f64 1 N)) |
(+.f64 (pow.f64 (/.f64 (sqrt.f64 -1/2) N) 2) (/.f64 1 N)) |
(+.f64 (/.f64 1 N) (pow.f64 (/.f64 (sqrt.f64 -1/2) N) 2)) |
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2))) |
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (/.f64 (/.f64 -1/2 N) N)) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 -1/2 (pow.f64 N -2))) (/.f64 1 N)) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 N)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) |
| 0.3b | (/.f64 1/2 (*.f64 N N)) | |
| ✓ | 0.3b | (/.f64 1/3 (*.f64 N N)) |
| ✓ | 13.6b | (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N))) |
Compiled 64 to 35 computations (45.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | 0 | (/.f64 1/3 (*.f64 N N)) |
| 0.0ms | N | @ | inf | (/.f64 1/3 (*.f64 N N)) |
| 0.0ms | N | @ | 0 | (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N))) |
| 0.0ms | N | @ | inf | (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N))) |
| 0.0ms | N | @ | -inf | (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N))) |
| 1× | batch-egg-rewrite |
| 1184× | associate-/l* |
| 742× | associate-/r/ |
| 714× | associate-/l/ |
| 468× | distribute-rgt-in |
| 432× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 69 |
| 1 | 275 | 51 |
| 2 | 3843 | 51 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N))) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) 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log.f64 (exp.f64 (/.f64 1/3 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (pow.f64 N 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (pow.f64 N 3)))))))) |
| 1× | egg-herbie |
| 1042× | associate-/r* |
| 1036× | associate-*r* |
| 826× | times-frac |
| 826× | associate-*l* |
| 810× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 609 | 12799 |
| 1 | 1867 | 11571 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/3 (pow.f64 N 3)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(/.f64 -1/2 (pow.f64 N 2)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(/.f64 -1/2 (pow.f64 N 2)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1/3 (pow.f64 N 3)) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) -1/2)) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 (pow.f64 N -2) -1/2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 N -2)) 1/2 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (cbrt.f64 (/.f64 1/4 (pow.f64 N 4))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 (pow.f64 N -2) -1/2) 1 (*.f64 1/2 (pow.f64 N -2))))) |
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(/.f64 (sqrt.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (*.f64 -1/8 (pow.f64 (pow.f64 N -2) 3)))) (/.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 (/.f64 1/3 N) (/.f64 (pow.f64 N 4) 1/2)) (/.f64 1/9 (pow.f64 (*.f64 N N) 3)))) (sqrt.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (*.f64 -1/8 (pow.f64 (pow.f64 N -2) 3)))))) |
(/.f64 (sqrt.f64 (-.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 (*.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) 1/2)) (sqrt.f64 (-.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)) (/.f64 1/4 (pow.f64 N 4)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (*.f64 -1/8 (pow.f64 (pow.f64 N -2) 3)))) (cbrt.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (*.f64 -1/8 (pow.f64 (pow.f64 N -2) 3))))) (/.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 (/.f64 1/3 N) (/.f64 (pow.f64 N 4) 1/2)) (/.f64 1/9 (pow.f64 (*.f64 N N) 3)))) (cbrt.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (*.f64 -1/8 (pow.f64 (pow.f64 N -2) 3)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)) (/.f64 1/4 (pow.f64 N 4)))) (cbrt.f64 (-.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)) (/.f64 1/4 (pow.f64 N 4))))) (/.f64 (*.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) 1/2)) (cbrt.f64 (-.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)) (/.f64 1/4 (pow.f64 N 4)))))) |
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)) (*.f64 (*.f64 (pow.f64 N -2) -1/2) (*.f64 (pow.f64 N -2) -1/2))) (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) -1/2))) |
(/.f64 (-.f64 (*.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3))) (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 3) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 3))) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 (/.f64 1/3 N) (/.f64 (pow.f64 N 4) 1/2)) (/.f64 1/9 (pow.f64 (*.f64 N N) 3)))) (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 3)))) |
(/.f64 (-.f64 (*.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)) (/.f64 1/9 (pow.f64 (*.f64 N N) 3))) (*.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/4 (pow.f64 N 4)))) (*.f64 (*.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) 1/2)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/9 (pow.f64 (*.f64 N N) 3))))) |
(/.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (*.f64 (pow.f64 N -2) -1/2) 3)) (+.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)) (*.f64 (*.f64 (pow.f64 N -2) -1/2) (-.f64 (*.f64 (pow.f64 N -2) -1/2) (/.f64 1/3 (pow.f64 N 3)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) 3) (pow.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 3) 3)) (*.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 (/.f64 1/3 N) (/.f64 (pow.f64 N 4) 1/2)) (/.f64 1/9 (pow.f64 (*.f64 N N) 3)))) (+.f64 (*.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3))) (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 3) (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 3)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)) 3) (pow.f64 (/.f64 1/4 (pow.f64 N 4)) 3)) (*.f64 (*.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) 1/2)) (+.f64 (*.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)) (/.f64 1/9 (pow.f64 (*.f64 N N) 3))) (*.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/9 (pow.f64 (*.f64 N N) 3))))))) |
(/.f64 (-.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1/2 N)) N) |
(/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) |
(/.f64 (-.f64 (*.f64 1/3 (*.f64 N (/.f64 N 1/2))) (*.f64 (pow.f64 N 3) 1)) (*.f64 (pow.f64 N 3) (*.f64 N (/.f64 N 1/2)))) |
(/.f64 (-.f64 (*.f64 1/3 (*.f64 N N)) (*.f64 (pow.f64 N 3) 1/2)) (*.f64 (pow.f64 N 3) (*.f64 N N))) |
(/.f64 (-.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 3) (/.f64 1/2 N))) (pow.f64 N 4)) |
(/.f64 (-.f64 (*.f64 1/3 (*.f64 N (neg.f64 N))) (*.f64 (pow.f64 N 3) -1/2)) (*.f64 (pow.f64 N 3) (*.f64 N (neg.f64 N)))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/3 (pow.f64 N -2)) (*.f64 N (/.f64 N 1/2))) N) (*.f64 N (*.f64 N (/.f64 N 1/2)))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/3 (pow.f64 N -2)) (*.f64 N N)) (*.f64 N 1/2)) (pow.f64 N 3)) |
(/.f64 (-.f64 (*.f64 (*.f64 1/3 (pow.f64 N -2)) N) (*.f64 N (/.f64 1/2 N))) (*.f64 N N)) |
(/.f64 (-.f64 (*.f64 (*.f64 1/3 (pow.f64 N -2)) (*.f64 N (neg.f64 N))) (*.f64 N -1/2)) (*.f64 N (*.f64 N (neg.f64 N)))) |
(/.f64 (-.f64 (*.f64 (/.f64 1/3 N) (*.f64 N (/.f64 N 1/2))) (*.f64 N N)) (*.f64 (*.f64 N N) (*.f64 N (/.f64 N 1/2)))) |
(/.f64 (-.f64 (*.f64 (/.f64 1/3 N) (*.f64 N N)) (*.f64 (*.f64 N N) 1/2)) (pow.f64 N 4)) |
(/.f64 (-.f64 (*.f64 (/.f64 1/3 N) N) (*.f64 (*.f64 N N) (/.f64 1/2 N))) (pow.f64 N 3)) |
(/.f64 (-.f64 (*.f64 (/.f64 1/3 N) (*.f64 N (neg.f64 N))) (*.f64 (*.f64 N N) -1/2)) (*.f64 (*.f64 N N) (*.f64 N (neg.f64 N)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)) (/.f64 1/4 (pow.f64 N 4)))) (neg.f64 (*.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) 1/2)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (*.f64 -1/8 (pow.f64 (pow.f64 N -2) 3)))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 (/.f64 1/3 N) (/.f64 (pow.f64 N 4) 1/2)) (/.f64 1/9 (pow.f64 (*.f64 N N) 3)))))) |
(pow.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) 2)) |
(log.f64 (exp.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2))))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)))) |
(fma.f64 1 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) -1/2)) |
(fma.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -2)) (*.f64 (pow.f64 N -2) -1/2)) |
(fma.f64 (*.f64 1/3 (pow.f64 N -2)) (/.f64 1 N) (*.f64 (pow.f64 N -2) -1/2)) |
(fma.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) (*.f64 (pow.f64 N -2) -1/2)) |
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (*.f64 (pow.f64 N -2) -1/2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -2)))) 1) |
(*.f64 1 (*.f64 1/3 (pow.f64 N -2))) |
(*.f64 (/.f64 1 N) (/.f64 1/3 N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(*.f64 (*.f64 1/3 (pow.f64 N -2)) 1) |
(*.f64 (/.f64 (sqrt.f64 1/3) N) (/.f64 (sqrt.f64 1/3) N)) |
(*.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) |
(*.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (cbrt.f64 (*.f64 1/3 (pow.f64 N -2)))) |
(*.f64 (/.f64 1/3 N) (/.f64 1 N)) |
(*.f64 (pow.f64 N -2) 1/3) |
(*.f64 -1/3 (/.f64 1 (*.f64 N (neg.f64 N)))) |
(*.f64 (/.f64 1/3 (*.f64 (sqrt.f64 N) N)) (pow.f64 N -1/2)) |
(*.f64 (/.f64 (/.f64 1/3 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2))) |
(*.f64 (/.f64 1 (*.f64 N (neg.f64 N))) -1/3) |
(*.f64 (/.f64 (/.f64 1/3 N) (neg.f64 N)) -1) |
(pow.f64 (*.f64 1/3 (pow.f64 N -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 1/3) N) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) 3) |
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -2)) 3) 1/3) |
(pow.f64 (*.f64 N (/.f64 N 1/3)) -1) |
(sqrt.f64 (/.f64 1/9 (pow.f64 N 4))) |
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -2))))) |
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -2)))) |
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/3 (pow.f64 N -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -2)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3)))) 1) |
(/.f64 1 (/.f64 (pow.f64 N 3) 1/3)) |
(/.f64 1 (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 N))) |
(/.f64 1 (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (/.f64 (sqrt.f64 1/3) N))) |
(/.f64 1 (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))) |
(/.f64 1 (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (*.f64 N (/.f64 N 1/3))))) |
(/.f64 1 (*.f64 (*.f64 N N) (/.f64 N 1/3))) |
(/.f64 (/.f64 1 N) (*.f64 N (/.f64 N 1/3))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1/3 (*.f64 (neg.f64 N) (*.f64 N (neg.f64 N)))) |
(/.f64 1/3 (*.f64 (*.f64 N (neg.f64 N)) (neg.f64 N))) |
(/.f64 1/3 (/.f64 (*.f64 N N) (/.f64 1 N))) |
(/.f64 (*.f64 1/3 (pow.f64 N -2)) N) |
(/.f64 (/.f64 (sqrt.f64 1/3) N) (*.f64 (/.f64 N (sqrt.f64 1/3)) N)) |
(/.f64 (pow.f64 N -1/2) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 N -1/2))) |
(/.f64 (pow.f64 N -1/2) (/.f64 (*.f64 N N) (*.f64 (pow.f64 N -1/2) 1/3))) |
(/.f64 (pow.f64 N -1/2) (*.f64 (*.f64 N (/.f64 N 1/3)) (sqrt.f64 N))) |
(/.f64 (sqrt.f64 1/3) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (/.f64 1 N))) |
(/.f64 (sqrt.f64 1/3) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) N)) |
(/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (/.f64 N (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))) |
(/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (cbrt.f64 (/.f64 (sqrt.f64 1/3) N)))) |
(/.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))))) |
(/.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3))))) |
(/.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 (*.f64 N (/.f64 N 1/3)) (cbrt.f64 (pow.f64 N -2)))) |
(/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 (cbrt.f64 N)))) |
(/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (*.f64 N N) (*.f64 (/.f64 1 (cbrt.f64 N)) 1/3))) |
(/.f64 (/.f64 1/3 N) (*.f64 N N)) |
(/.f64 (/.f64 1/3 N) (/.f64 1 (pow.f64 N -2))) |
(/.f64 (/.f64 1/3 N) (/.f64 (*.f64 N (neg.f64 N)) -1)) |
(/.f64 (pow.f64 N -2) (/.f64 N 1/3)) |
(/.f64 -1 (*.f64 (neg.f64 N) (*.f64 N (/.f64 N 1/3)))) |
(/.f64 -1 (*.f64 (*.f64 N (/.f64 N 1/3)) (neg.f64 N))) |
(/.f64 -1 (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 (neg.f64 N)))) |
(/.f64 -1 (/.f64 (neg.f64 N) (*.f64 1/3 (pow.f64 N -2)))) |
(/.f64 -1 (/.f64 (*.f64 N (neg.f64 N)) (/.f64 1/3 N))) |
(/.f64 -1 (*.f64 N (*.f64 (*.f64 N (neg.f64 N)) 3))) |
(/.f64 -1/3 (*.f64 N (*.f64 N (neg.f64 N)))) |
(/.f64 -1/3 (*.f64 (*.f64 N N) (neg.f64 N))) |
(/.f64 -1/3 (neg.f64 (pow.f64 N 3))) |
(/.f64 -1/3 (/.f64 N (/.f64 1 (*.f64 N (neg.f64 N))))) |
(/.f64 -1/3 (/.f64 (*.f64 N (neg.f64 N)) (/.f64 1 N))) |
(/.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (*.f64 N (neg.f64 N))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2)))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))) |
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (/.f64 (*.f64 N N) (sqrt.f64 (/.f64 1/3 N)))) |
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 N))) |
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))) (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 N)) (cbrt.f64 (/.f64 1/3 N))) (/.f64 (*.f64 N N) (cbrt.f64 (/.f64 1/3 N)))) |
(/.f64 (*.f64 (/.f64 1 N) -1/3) (*.f64 N (neg.f64 N))) |
(/.f64 (*.f64 (*.f64 1/3 (pow.f64 N -2)) -1) (neg.f64 N)) |
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (*.f64 (*.f64 N N) (sqrt.f64 N))) |
(/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (*.f64 N N) (cbrt.f64 N))) |
(/.f64 (/.f64 1/3 (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) |
(/.f64 (/.f64 1/3 (*.f64 (sqrt.f64 N) N)) (*.f64 N (sqrt.f64 N))) |
(/.f64 (/.f64 (/.f64 1/3 N) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (*.f64 N (/.f64 N 1/3)) (cbrt.f64 N))) |
(/.f64 (/.f64 (/.f64 1/3 N) (*.f64 (sqrt.f64 N) N)) (sqrt.f64 N)) |
(/.f64 (/.f64 1/3 (*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N N))) (cbrt.f64 N)) |
(/.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 N 4)) N)) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 (*.f64 (/.f64 1/3 N) -1) (*.f64 N (neg.f64 N))) |
(/.f64 (neg.f64 (/.f64 1/3 N)) (*.f64 N (neg.f64 N))) |
(/.f64 (*.f64 -1/3 (pow.f64 N -2)) (neg.f64 N)) |
(/.f64 (pow.f64 (sqrt.f64 N) -1) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 (sqrt.f64 N) -1))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 (cbrt.f64 N) -1))) |
(pow.f64 (/.f64 1/3 (pow.f64 N 3)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) 2) |
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3) |
(pow.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) 1/3) |
(sqrt.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3))) |
(log.f64 (exp.f64 (/.f64 1/3 (pow.f64 N 3)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (pow.f64 N 3))))) |
(cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3)))) |
(exp.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1/3 (pow.f64 N 3)))) |
| Outputs |
|---|
(/.f64 1/3 (pow.f64 N 3)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
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(/.f64 -1/3 (/.f64 N (/.f64 1 (*.f64 N (neg.f64 N))))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 -1/3 (/.f64 (*.f64 N (neg.f64 N)) (/.f64 1 N))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (*.f64 N (neg.f64 N))))) |
(/.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 N (sqrt.f64 1/3)) (*.f64 N (sqrt.f64 (*.f64 N (neg.f64 N)))))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 -1/3) (*.f64 N N)) (sqrt.f64 1/3)) (sqrt.f64 (*.f64 N (neg.f64 N)))) |
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2)))))) |
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (*.f64 N (/.f64 N (sqrt.f64 1/3)))) (sqrt.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2)))) (/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (*.f64 N N) (sqrt.f64 1/3)))) |
(/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))) |
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3))))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))) |
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (sqrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))) (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3))))) |
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (/.f64 (*.f64 N N) (sqrt.f64 (/.f64 1/3 N)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) (*.f64 N N)) (sqrt.f64 (/.f64 1/3 N))) |
(pow.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) 2) |
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 N))) |
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (*.f64 (/.f64 N (sqrt.f64 1/3)) (*.f64 N (sqrt.f64 N)))) |
(/.f64 (sqrt.f64 (/.f64 1/3 N)) (*.f64 (sqrt.f64 N) (/.f64 (*.f64 N N) (sqrt.f64 1/3)))) |
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) (/.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)))) |
(/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) (/.f64 (*.f64 N (/.f64 N (sqrt.f64 1/3))) (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) (/.f64 N (sqrt.f64 1/3))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 1/3) N)) N)) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))) (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))) |
(/.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (/.f64 (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3)))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))) (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))))) |
(/.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 N (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (/.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) (cbrt.f64 (*.f64 N (/.f64 N 1/3))))))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 N)) (cbrt.f64 (/.f64 1/3 N))) (/.f64 (*.f64 N N) (cbrt.f64 (/.f64 1/3 N)))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (/.f64 1/3 N)) (cbrt.f64 (/.f64 1/3 N))) (*.f64 N N)) (cbrt.f64 (/.f64 1/3 N))) |
(*.f64 (cbrt.f64 (/.f64 1/3 N)) (*.f64 (/.f64 (cbrt.f64 (/.f64 1/3 N)) N) (/.f64 (cbrt.f64 (/.f64 1/3 N)) N))) |
(/.f64 (*.f64 (/.f64 1 N) -1/3) (*.f64 N (neg.f64 N))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (*.f64 (*.f64 1/3 (pow.f64 N -2)) -1) (neg.f64 N)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (*.f64 (*.f64 N N) (sqrt.f64 N))) |
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (*.f64 N (*.f64 N (sqrt.f64 N)))) |
(/.f64 1/3 (*.f64 N (*.f64 (sqrt.f64 N) (*.f64 N (sqrt.f64 N))))) |
(/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (*.f64 N N) (cbrt.f64 N))) |
(/.f64 1/3 (*.f64 (cbrt.f64 N) (*.f64 (*.f64 N N) (pow.f64 (cbrt.f64 N) 2)))) |
(/.f64 (/.f64 1/3 N) (*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N (cbrt.f64 N)))) |
(/.f64 (/.f64 1/3 (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) |
(/.f64 1/3 (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))) |
(/.f64 (/.f64 1/3 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 (pow.f64 N 4))) |
(/.f64 (/.f64 1/3 (*.f64 (sqrt.f64 N) N)) (*.f64 N (sqrt.f64 N))) |
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (*.f64 N (*.f64 N (sqrt.f64 N)))) |
(/.f64 1/3 (*.f64 N (*.f64 (sqrt.f64 N) (*.f64 N (sqrt.f64 N))))) |
(/.f64 (/.f64 (/.f64 1/3 N) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N))) |
(/.f64 1/3 (*.f64 (cbrt.f64 N) (*.f64 (*.f64 N N) (pow.f64 (cbrt.f64 N) 2)))) |
(/.f64 (/.f64 1/3 N) (*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N (cbrt.f64 N)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (*.f64 N (/.f64 N 1/3)) (cbrt.f64 N))) |
(/.f64 1 (*.f64 (*.f64 N (*.f64 (/.f64 N 1/3) (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))) |
(/.f64 (/.f64 (/.f64 1/3 (*.f64 N (cbrt.f64 N))) N) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 (/.f64 (/.f64 1/3 N) (*.f64 (sqrt.f64 N) N)) (sqrt.f64 N)) |
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (*.f64 N (*.f64 N (sqrt.f64 N)))) |
(/.f64 1/3 (*.f64 N (*.f64 (sqrt.f64 N) (*.f64 N (sqrt.f64 N))))) |
(/.f64 (/.f64 1/3 (*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N N))) (cbrt.f64 N)) |
(/.f64 1/3 (*.f64 (cbrt.f64 N) (*.f64 (*.f64 N N) (pow.f64 (cbrt.f64 N) 2)))) |
(/.f64 (/.f64 1/3 N) (*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N (cbrt.f64 N)))) |
(/.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 N 4)) N)) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 1/3 (*.f64 (*.f64 N (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4)))) |
(/.f64 (/.f64 1/3 (*.f64 N (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 (pow.f64 N 4))) |
(/.f64 (*.f64 (/.f64 1/3 N) -1) (*.f64 N (neg.f64 N))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (neg.f64 (/.f64 1/3 N)) (*.f64 N (neg.f64 N))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (*.f64 -1/3 (pow.f64 N -2)) (neg.f64 N)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (pow.f64 (sqrt.f64 N) -1) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 (sqrt.f64 N) -1))) |
(/.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (*.f64 N (/.f64 N 1/3)) (/.f64 1 (sqrt.f64 N)))) |
(/.f64 (/.f64 1 (sqrt.f64 N)) (*.f64 (sqrt.f64 N) (*.f64 N (/.f64 N 1/3)))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (/.f64 (*.f64 N (/.f64 N 1/3)) (pow.f64 (cbrt.f64 N) -1))) |
(/.f64 1 (*.f64 (*.f64 N (*.f64 (/.f64 N 1/3) (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2))) |
(/.f64 (/.f64 (/.f64 1/3 (*.f64 N (cbrt.f64 N))) N) (pow.f64 (cbrt.f64 N) 2)) |
(pow.f64 (/.f64 1/3 (pow.f64 N 3)) 1) |
(/.f64 1/3 (pow.f64 N 3)) |
(pow.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) 2) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) (*.f64 N N)) (sqrt.f64 (/.f64 1/3 N))) |
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3) |
(/.f64 1/3 (pow.f64 N 3)) |
(pow.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) 1/3) |
(cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3))) |
(sqrt.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3))) |
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6))) |
(log.f64 (exp.f64 (/.f64 1/3 (pow.f64 N 3)))) |
(/.f64 1/3 (pow.f64 N 3)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (pow.f64 N 3))))) |
(/.f64 1/3 (pow.f64 N 3)) |
(cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3)))) |
(/.f64 1/3 (pow.f64 N 3)) |
(exp.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3)))) |
(/.f64 1/3 (pow.f64 N 3)) |
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 (pow.f64 N 3))) 1)) |
(/.f64 1/3 (pow.f64 N 3)) |
(log1p.f64 (expm1.f64 (/.f64 1/3 (pow.f64 N 3)))) |
(/.f64 1/3 (pow.f64 N 3)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 N (log.f64 N)) |
Compiled 8 to 3 computations (62.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | -inf | (-.f64 N (log.f64 N)) |
| 0.0ms | N | @ | 0 | (-.f64 N (log.f64 N)) |
| 0.0ms | N | @ | inf | (-.f64 N (log.f64 N)) |
| 1× | batch-egg-rewrite |
| 1382× | add-sqr-sqrt |
| 1366× | *-un-lft-identity |
| 1276× | add-cube-cbrt |
| 1262× | add-cbrt-cube |
| 1250× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 11 |
| 1 | 125 | 11 |
| 2 | 1669 | 11 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 N (log.f64 N)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 N (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 N (*.f64 (neg.f64 (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.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 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 N (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 (neg.f64 (log.f64 N)) N)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2) (cbrt.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 N (log.f64 N)) (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))) (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 N N) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 N (neg.f64 (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (*.f64 N N) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 N (neg.f64 (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 N (log.f64 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 N (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 N (log.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 (expm1.f64 (-.f64 N (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 N (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (log.f64 N))))))) |
| 1× | egg-herbie |
| 1612× | associate-+r+ |
| 1208× | associate-*r* |
| 1052× | associate-*l* |
| 1030× | associate-+l+ |
| 614× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 827 |
| 1 | 283 | 773 |
| 2 | 1110 | 773 |
| 3 | 5588 | 773 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 N)) |
(+.f64 N (*.f64 -1 (log.f64 N))) |
(+.f64 N (*.f64 -1 (log.f64 N))) |
(+.f64 N (*.f64 -1 (log.f64 N))) |
N |
(+.f64 N (log.f64 (/.f64 1 N))) |
(+.f64 N (log.f64 (/.f64 1 N))) |
(+.f64 N (log.f64 (/.f64 1 N))) |
N |
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) |
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) |
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) |
(+.f64 N (neg.f64 (log.f64 N))) |
(+.f64 N (*.f64 (neg.f64 (log.f64 N)) 1)) |
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))) |
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))) |
(+.f64 (-.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 (neg.f64 (log.f64 N)) N) |
(*.f64 (-.f64 N (log.f64 N)) 1) |
(*.f64 1 (-.f64 N (log.f64 N))) |
(*.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N)))) |
(*.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2) (cbrt.f64 (-.f64 N (log.f64 N)))) |
(*.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N)))) |
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))) |
(*.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N)))) |
(/.f64 1 (/.f64 (+.f64 N (log.f64 N)) (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)))) |
(/.f64 1 (/.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))) (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)))) |
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N))) |
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))) |
(/.f64 (-.f64 (*.f64 N N) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 N (neg.f64 (log.f64 N)))) |
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (*.f64 N N) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 N (neg.f64 (log.f64 N)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 N (log.f64 N)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))) |
(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) |
(sqrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) |
(log.f64 (/.f64 (exp.f64 N) N)) |
(cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 N (log.f64 N)))) |
(exp.f64 (log.f64 (-.f64 N (log.f64 N)))) |
(log1p.f64 (expm1.f64 (-.f64 N (log.f64 N)))) |
(fma.f64 1 N (neg.f64 (log.f64 N))) |
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (log.f64 N))) |
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (log.f64 N))) |
| Outputs |
|---|
(*.f64 -1 (log.f64 N)) |
(neg.f64 (log.f64 N)) |
(+.f64 N (*.f64 -1 (log.f64 N))) |
(-.f64 N (log.f64 N)) |
(+.f64 N (*.f64 -1 (log.f64 N))) |
(-.f64 N (log.f64 N)) |
(+.f64 N (*.f64 -1 (log.f64 N))) |
(-.f64 N (log.f64 N)) |
N |
(+.f64 N (log.f64 (/.f64 1 N))) |
(-.f64 N (log.f64 N)) |
(+.f64 N (log.f64 (/.f64 1 N))) |
(-.f64 N (log.f64 N)) |
(+.f64 N (log.f64 (/.f64 1 N))) |
(-.f64 N (log.f64 N)) |
N |
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) |
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) |
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) |
(+.f64 N (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1))) |
(+.f64 (log.f64 (/.f64 -1 N)) (-.f64 N (log.f64 -1))) |
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) |
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) |
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) |
(+.f64 N (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1))) |
(+.f64 (log.f64 (/.f64 -1 N)) (-.f64 N (log.f64 -1))) |
(+.f64 N (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) |
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) |
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) |
(+.f64 N (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1))) |
(+.f64 (log.f64 (/.f64 -1 N)) (-.f64 N (log.f64 -1))) |
(+.f64 N (neg.f64 (log.f64 N))) |
(-.f64 N (log.f64 N)) |
(+.f64 N (*.f64 (neg.f64 (log.f64 N)) 1)) |
(-.f64 N (log.f64 N)) |
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (log.f64 N)) 1 (log.f64 N))) |
(-.f64 N (log.f64 N)) |
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))) |
(-.f64 N (log.f64 N)) |
(+.f64 (-.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 N (log.f64 N)) |
(+.f64 (neg.f64 (log.f64 N)) N) |
(-.f64 N (log.f64 N)) |
(*.f64 (-.f64 N (log.f64 N)) 1) |
(-.f64 N (log.f64 N)) |
(*.f64 1 (-.f64 N (log.f64 N))) |
(-.f64 N (log.f64 N)) |
(*.f64 (sqrt.f64 (-.f64 N (log.f64 N))) (sqrt.f64 (-.f64 N (log.f64 N)))) |
(-.f64 N (log.f64 N)) |
(*.f64 (cbrt.f64 (-.f64 N (log.f64 N))) (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2)) |
(-.f64 N (log.f64 N)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 2) (cbrt.f64 (-.f64 N (log.f64 N)))) |
(-.f64 N (log.f64 N)) |
(*.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 N (log.f64 N)))) |
(-.f64 N (log.f64 N)) |
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))) |
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) |
(*.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (log.f64 N)))) |
(-.f64 N (log.f64 N)) |
(/.f64 1 (/.f64 (+.f64 N (log.f64 N)) (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)))) |
(-.f64 N (log.f64 N)) |
(/.f64 1 (/.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))) (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)))) |
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))) |
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) |
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2)) (+.f64 N (log.f64 N))) |
(-.f64 N (log.f64 N)) |
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))) |
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) |
(/.f64 (-.f64 (*.f64 N N) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 N (neg.f64 (log.f64 N)))) |
(-.f64 N (log.f64 N)) |
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (*.f64 N N) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 N (neg.f64 (log.f64 N)))))) |
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))) |
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) |
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))) (neg.f64 (+.f64 N (log.f64 N)))) |
(-.f64 N (log.f64 N)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3))) (neg.f64 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))) |
(*.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (/.f64 1 (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 N N (*.f64 (log.f64 N) (+.f64 N (log.f64 N))))) |
(/.f64 (-.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 N (log.f64 N)) (*.f64 N N))) |
(pow.f64 (-.f64 N (log.f64 N)) 1) |
(-.f64 N (log.f64 N)) |
(pow.f64 (sqrt.f64 (-.f64 N (log.f64 N))) 2) |
(-.f64 N (log.f64 N)) |
(pow.f64 (cbrt.f64 (-.f64 N (log.f64 N))) 3) |
(-.f64 N (log.f64 N)) |
(pow.f64 (pow.f64 (-.f64 N (log.f64 N)) 3) 1/3) |
(-.f64 N (log.f64 N)) |
(sqrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 2)) |
(-.f64 N (log.f64 N)) |
(log.f64 (/.f64 (exp.f64 N) N)) |
(-.f64 N (log.f64 N)) |
(cbrt.f64 (pow.f64 (-.f64 N (log.f64 N)) 3)) |
(-.f64 N (log.f64 N)) |
(expm1.f64 (log1p.f64 (-.f64 N (log.f64 N)))) |
(-.f64 N (log.f64 N)) |
(exp.f64 (log.f64 (-.f64 N (log.f64 N)))) |
(-.f64 N (log.f64 N)) |
(log1p.f64 (expm1.f64 (-.f64 N (log.f64 N)))) |
(-.f64 N (log.f64 N)) |
(fma.f64 1 N (neg.f64 (log.f64 N))) |
(-.f64 N (log.f64 N)) |
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (neg.f64 (log.f64 N))) |
(-.f64 N (log.f64 N)) |
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (neg.f64 (log.f64 N))) |
(-.f64 N (log.f64 N)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) |
| ✓ | 0.0b | (/.f64 1 (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
| ✓ | 0.5b | (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) |
| ✓ | 13.6b | (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) |
Compiled 79 to 63 computations (20.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | -inf | (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) |
| 0.0ms | N | @ | 0 | (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) |
| 0.0ms | N | @ | inf | (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) |
| 0.0ms | N | @ | 0 | (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) |
| 0.0ms | N | @ | inf | (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) |
| 1× | batch-egg-rewrite |
| 1644× | associate-*l/ |
| 780× | distribute-lft-in |
| 686× | associate-/r* |
| 348× | associate-/r/ |
| 346× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 150 |
| 1 | 376 | 150 |
| 2 | 4307 | 150 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) |
(/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) |
(/.f64 1 (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1064× | associate-+r+ |
| 906× | +-commutative |
| 764× | associate-/l* |
| 640× | associate-*r* |
| 540× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 589 | 23254 |
| 1 | 1610 | 21408 |
| 2 | 7124 | 21408 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/3 (pow.f64 N 3)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(/.f64 -1/2 (pow.f64 N 2)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(/.f64 -1/2 (pow.f64 N 2)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(*.f64 3 (pow.f64 N 3)) |
(+.f64 (*.f64 9/2 (pow.f64 N 4)) (*.f64 3 (pow.f64 N 3))) |
(+.f64 (*.f64 9/2 (pow.f64 N 4)) (+.f64 (*.f64 -9/4 (pow.f64 N 5)) (*.f64 3 (pow.f64 N 3)))) |
(+.f64 (*.f64 -135/8 (pow.f64 N 6)) (+.f64 (*.f64 9/2 (pow.f64 N 4)) (+.f64 (*.f64 -9/4 (pow.f64 N 5)) (*.f64 3 (pow.f64 N 3))))) |
N |
(+.f64 N 1/2) |
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
(-.f64 (+.f64 N 1/2) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (*.f64 1/12 (/.f64 1 N)))) |
N |
(+.f64 N 1/2) |
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
(-.f64 (+.f64 N 1/2) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (*.f64 1/12 (/.f64 1 N)))) |
(/.f64 1/3 (pow.f64 N 3)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.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 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 1/2 (/.f64 1 (pow.f64 N 2)))) |
(/.f64 1/3 (pow.f64 N 3)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.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 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 1/2 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (*.f64 1/3 (pow.f64 N -3))) |
(+.f64 (*.f64 (pow.f64 N -2) -1/2) (*.f64 (*.f64 1/3 (pow.f64 N -3)) 1)) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (pow.f64 N -2) -1/2)) |
(+.f64 (*.f64 (*.f64 1/3 (pow.f64 N -3)) 1) (*.f64 (pow.f64 N -2) -1/2)) |
(+.f64 (*.f64 1 (*.f64 (*.f64 1/3 (pow.f64 N -3)) 1)) (*.f64 (pow.f64 N -2) -1/2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -2) -1/2))) (-.f64 1 (*.f64 1/3 (pow.f64 N -3)))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))) 1) |
(-.f64 (+.f64 (*.f64 1/3 (pow.f64 N -3)) (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -2) -1/2)))) 1) |
(-.f64 (+.f64 (*.f64 (*.f64 1/3 (pow.f64 N -3)) 1) (exp.f64 (log1p.f64 (*.f64 (pow.f64 N -2) -1/2)))) 1) |
(*.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 1) |
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
(*.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)))) |
(*.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) 2)) |
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(pow.f64 (/.f64 1 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3)) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3))) |
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(exp.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) -1)) |
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(+.f64 (+.f64 (/.f64 1 N) (*.f64 (*.f64 1/3 (pow.f64 N -3)) 1)) (*.f64 (pow.f64 N -2) -1/2)) |
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))) |
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(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
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(/.f64 (/.f64 -1 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) -1/2)) (neg.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) -1/2))) |
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) -2))) (neg.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))))) |
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 -1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))) (sqrt.f64 (/.f64 -1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))) |
(/.f64 (/.f64 -1 (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) (cbrt.f64 (/.f64 -1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))))) (cbrt.f64 (/.f64 -1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))) |
(/.f64 (/.f64 -1 (neg.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) -1/2))) (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) -1/2)) |
(/.f64 (/.f64 -1 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) -2)))) (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 N -2)) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 N -2)) (*.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))) (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (pow.f64 N -2)) (+.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (pow.f64 N -1/2))) (-.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (pow.f64 N -1/2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3) (pow.f64 N -3)) 1) (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3) (pow.f64 N -3)) (sqrt.f64 (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N))))) (sqrt.f64 (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 3) (pow.f64 N -3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N)))) (cbrt.f64 (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N)))))) (cbrt.f64 (+.f64 (pow.f64 N -2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) 2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) N))))) |
(pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 1) |
(pow.f64 (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) -1) |
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 2) |
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 3) |
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 2)) |
(log.f64 (exp.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))) |
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) -1)) |
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) |
(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N)) |
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
| Outputs |
|---|
(/.f64 1/3 (pow.f64 N 3)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 N N)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(*.f64 3 (pow.f64 N 3)) |
(+.f64 (*.f64 9/2 (pow.f64 N 4)) (*.f64 3 (pow.f64 N 3))) |
(fma.f64 9/2 (pow.f64 N 4) (*.f64 3 (pow.f64 N 3))) |
(+.f64 (*.f64 9/2 (pow.f64 N 4)) (+.f64 (*.f64 -9/4 (pow.f64 N 5)) (*.f64 3 (pow.f64 N 3)))) |
(fma.f64 9/2 (pow.f64 N 4) (fma.f64 -9/4 (pow.f64 N 5) (*.f64 3 (pow.f64 N 3)))) |
(fma.f64 9/2 (pow.f64 N 4) (fma.f64 3 (pow.f64 N 3) (*.f64 -9/4 (pow.f64 N 5)))) |
(+.f64 (*.f64 -135/8 (pow.f64 N 6)) (+.f64 (*.f64 9/2 (pow.f64 N 4)) (+.f64 (*.f64 -9/4 (pow.f64 N 5)) (*.f64 3 (pow.f64 N 3))))) |
(fma.f64 -135/8 (pow.f64 N 6) (fma.f64 9/2 (pow.f64 N 4) (fma.f64 -9/4 (pow.f64 N 5) (*.f64 3 (pow.f64 N 3))))) |
(fma.f64 -135/8 (pow.f64 N 6) (fma.f64 9/2 (pow.f64 N 4) (fma.f64 3 (pow.f64 N 3) (*.f64 -9/4 (pow.f64 N 5))))) |
N |
(+.f64 N 1/2) |
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (*.f64 1/12 (/.f64 1 N)))) |
(-.f64 (-.f64 (+.f64 N 1/2) (/.f64 5/24 (*.f64 N N))) (/.f64 1/12 N)) |
(+.f64 N (-.f64 1/2 (+.f64 (/.f64 1/12 N) (/.f64 (/.f64 5/24 N) N)))) |
N |
(+.f64 N 1/2) |
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (*.f64 1/12 (/.f64 1 N)))) |
(-.f64 (-.f64 (+.f64 N 1/2) (/.f64 5/24 (*.f64 N N))) (/.f64 1/12 N)) |
(+.f64 N (-.f64 1/2 (+.f64 (/.f64 1/12 N) (/.f64 (/.f64 5/24 N) N)))) |
(/.f64 1/3 (pow.f64 N 3)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(/.f64 1/3 (pow.f64 N 3)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N 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 -1/2 (*.f64 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
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(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
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(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 3)) (-.f64 (+.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 2)) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) N))) |
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(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) -1)) |
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(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 3)) (-.f64 (+.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) 2)) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))) N))) |
(pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 1) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(pow.f64 (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) -1) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 2) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 3) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3) 1/3) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) 2)) |
(fabs.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)))) |
(log.f64 (exp.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) 3)) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N))) 1)) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) -1)) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N)) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) (/.f64 1 N)) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (pow.f64 N -2) -1/2 (/.f64 1 N))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))) |
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2))) |
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 (pow.f64 N -2) -1/2 (*.f64 1/3 (pow.f64 N -3)))) |
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
Compiled 34813 to 26743 computations (23.2% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1170 | 6 | 1176 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 2 | 6 |
| Total | 1175 | 8 | 1183 |
| Status | Error | Program |
|---|---|---|
| ▶ | 30.5b | (/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))) |
| ▶ | 30.5b | (/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) |
| ▶ | 27.0b | (/.f64 1 (+.f64 N 1/2)) |
| ✓ | 30.5b | (/.f64 1 N) |
| ▶ | 30.8b | (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
| ✓ | 33.0b | (neg.f64 (log.f64 N)) |
| ▶ | 0.0b | (log1p.f64 (/.f64 1 N)) |
| 61.0b | N |
Compiled 104 to 81 computations (22.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 (/.f64 1 N)) |
Compiled 10 to 7 computations (30% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | 0 | (log1p.f64 (/.f64 1 N)) |
| 0.0ms | N | @ | inf | (log1p.f64 (/.f64 1 N)) |
| 0.0ms | N | @ | -inf | (log1p.f64 (/.f64 1 N)) |
| 1× | batch-egg-rewrite |
| 1160× | add-sqr-sqrt |
| 1144× | *-un-lft-identity |
| 1080× | pow1 |
| 1060× | add-cube-cbrt |
| 1048× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 11 |
| 1 | 135 | 11 |
| 2 | 1496 | 11 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (/.f64 1 N)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 1 N)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))))) |
| 1× | egg-herbie |
| 900× | fma-def |
| 878× | associate-/r* |
| 830× | *-commutative |
| 774× | associate-*r/ |
| 660× | associate-*r* |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 717 |
| 1 | 152 | 619 |
| 2 | 582 | 523 |
| 3 | 2222 | 515 |
| 4 | 5340 | 515 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 N)) |
(+.f64 N (*.f64 -1 (log.f64 N))) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (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))))) |
(/.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 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1) |
(*.f64 1 (log1p.f64 (/.f64 1 N))) |
(*.f64 (log1p.f64 (/.f64 1 N)) 1) |
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))) |
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) |
(pow.f64 (log1p.f64 (/.f64 1 N)) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) |
(log.f64 (+.f64 1 (/.f64 1 N))) |
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) |
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 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 N (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))) |
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (*.f64 N N)))) |
(+.f64 (-.f64 N (log.f64 N)) (*.f64 N (*.f64 N -1/2))) |
(-.f64 (fma.f64 N (*.f64 N -1/2) N) (log.f64 N)) |
(-.f64 (*.f64 N (fma.f64 N -1/2 1)) (log.f64 N)) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2))))) |
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N))))) |
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 1/3 (pow.f64 N 3) (*.f64 N (*.f64 N -1/2)))) |
(+.f64 (-.f64 N (log.f64 N)) (*.f64 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3)))) |
(-.f64 (fma.f64 (*.f64 N N) (fma.f64 N 1/3 -1/2) 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 -1/2 (*.f64 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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3))) |
(-.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) |
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 -1/2 (*.f64 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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1 N))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (/.f64 1/3 (pow.f64 N 3))) |
(-.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) |
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (*.f64 N N))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4)))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))) |
(-.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) 1) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(*.f64 1 (log1p.f64 (/.f64 1 N))) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(*.f64 (log1p.f64 (/.f64 1 N)) 1) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(pow.f64 (log1p.f64 (/.f64 1 N)) 1) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(log.f64 (+.f64 1 (/.f64 1 N))) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) |
(+.f64 (+.f64 1 (log1p.f64 (/.f64 1 N))) -1) |
(+.f64 (log1p.f64 (/.f64 1 N)) 0) |
(log1p.f64 (/.f64 1 N)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 N 1/2)) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | inf | (/.f64 1 (+.f64 N 1/2)) |
| 0.0ms | N | @ | 0 | (/.f64 1 (+.f64 N 1/2)) |
| 0.0ms | N | @ | -inf | (/.f64 1 (+.f64 N 1/2)) |
| 1× | batch-egg-rewrite |
| 1468× | add-sqr-sqrt |
| 1442× | *-un-lft-identity |
| 1356× | add-cube-cbrt |
| 1346× | add-cbrt-cube |
| 1332× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 150 | 13 |
| 2 | 1806 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (+.f64 N 1/2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 N 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 N 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 N 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 N 1/2) -1/2) (pow.f64 (+.f64 N 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (cbrt.f64 (/.f64 1 (+.f64 N 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 N) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 N N -1/4)) (+.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1/8 (pow.f64 N 3))) (fma.f64 N N (-.f64 1/4 (*.f64 N 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 N 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 N 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 N 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 N 1/2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 N 1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 N 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 N 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 N 1/2)))))))) |
| 1× | egg-herbie |
| 1522× | associate-/l* |
| 1300× | associate-/r* |
| 1000× | associate-*r* |
| 780× | associate-*l* |
| 716× | associate-*r/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 1008 |
| 1 | 246 | 882 |
| 2 | 787 | 766 |
| 3 | 3191 | 760 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 (*.f64 -4 N)) |
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (*.f64 -4 N))) |
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (+.f64 (*.f64 -4 N) (*.f64 -16 (pow.f64 N 3))))) |
(/.f64 1 N) |
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.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 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 N 1/2))) 1) |
(*.f64 1 (/.f64 1 (+.f64 N 1/2))) |
(*.f64 (/.f64 1 (+.f64 N 1/2)) 1) |
(*.f64 (pow.f64 (+.f64 N 1/2) -1/2) (pow.f64 (+.f64 N 1/2) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (cbrt.f64 (/.f64 1 (+.f64 N 1/2)))) |
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 N) -1/2))) |
(*.f64 (/.f64 1 (fma.f64 N N -1/4)) (+.f64 N -1/2)) |
(*.f64 (/.f64 1 (+.f64 1/8 (pow.f64 N 3))) (fma.f64 N N (-.f64 1/4 (*.f64 N 1/2)))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 N 1/2)) -1)) |
(pow.f64 (+.f64 N 1/2) -1) |
(pow.f64 (/.f64 1 (+.f64 N 1/2)) 1) |
(pow.f64 (pow.f64 (+.f64 N 1/2) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 N 1/2) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2)))) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2)))) |
(exp.f64 (neg.f64 (log.f64 (+.f64 N 1/2)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 N 1/2)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 N 1/2)))) |
| Outputs |
|---|
2 |
(+.f64 2 (*.f64 -4 N)) |
(fma.f64 -4 N 2) |
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (*.f64 -4 N))) |
(fma.f64 8 (*.f64 N N) (+.f64 2 (*.f64 -4 N))) |
(fma.f64 8 (*.f64 N N) (fma.f64 -4 N 2)) |
(fma.f64 -4 N (fma.f64 N (*.f64 N 8) 2)) |
(fma.f64 N (*.f64 N 8) (fma.f64 -4 N 2)) |
(+.f64 (*.f64 8 (pow.f64 N 2)) (+.f64 2 (+.f64 (*.f64 -4 N) (*.f64 -16 (pow.f64 N 3))))) |
(fma.f64 8 (*.f64 N N) (+.f64 2 (fma.f64 -4 N (*.f64 -16 (pow.f64 N 3))))) |
(+.f64 (fma.f64 8 (*.f64 N N) (fma.f64 -4 N 2)) (*.f64 -16 (pow.f64 N 3))) |
(fma.f64 N (*.f64 N 8) (fma.f64 -4 N (fma.f64 -16 (pow.f64 N 3) 2))) |
(/.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 -1/2 (*.f64 N N))) |
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) |
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/4 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (/.f64 -1/2 (*.f64 N N))) |
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N))) |
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) |
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/8 (pow.f64 N 4))))) |
(+.f64 (+.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/8 (pow.f64 N 4))) |
(+.f64 (/.f64 1 N) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N)) (/.f64 -1/8 (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 -1/2 (*.f64 N N))) |
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) |
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/4 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (/.f64 -1/2 (*.f64 N N))) |
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N))) |
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/4 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) |
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/4 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/8 (pow.f64 N 4))))) |
(+.f64 (+.f64 (+.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 3))) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/8 (pow.f64 N 4))) |
(+.f64 (/.f64 1 N) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 (/.f64 -1/2 N) N)) (/.f64 -1/8 (pow.f64 N 4)))) |
(-.f64 (+.f64 1 (/.f64 1 (+.f64 N 1/2))) 1) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(*.f64 1 (/.f64 1 (+.f64 N 1/2))) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(*.f64 (/.f64 1 (+.f64 N 1/2)) 1) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(*.f64 (pow.f64 (+.f64 N 1/2) -1/2) (pow.f64 (+.f64 N 1/2) -1/2)) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2)) (cbrt.f64 (/.f64 1 (+.f64 N 1/2)))) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) (cbrt.f64 (pow.f64 (+.f64 N 1/2) -2))) |
(*.f64 -1 (/.f64 1 (+.f64 (neg.f64 N) -1/2))) |
(/.f64 -1 (+.f64 -1/2 (neg.f64 N))) |
(/.f64 -1 (-.f64 -1/2 N)) |
(*.f64 (/.f64 1 (fma.f64 N N -1/4)) (+.f64 N -1/2)) |
(/.f64 (+.f64 N -1/2) (fma.f64 N N -1/4)) |
(*.f64 (/.f64 1 (+.f64 1/8 (pow.f64 N 3))) (fma.f64 N N (-.f64 1/4 (*.f64 N 1/2)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 N 3) 1/8)) (fma.f64 N N (-.f64 1/4 (*.f64 N 1/2)))) |
(/.f64 (fma.f64 N N (+.f64 1/4 (*.f64 N -1/2))) (+.f64 (pow.f64 N 3) 1/8)) |
(/.f64 (fma.f64 N N (fma.f64 N -1/2 1/4)) (+.f64 (pow.f64 N 3) 1/8)) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1) (pow.f64 (sqrt.f64 (+.f64 N 1/2)) -1)) |
(pow.f64 (sqrt.f64 (+.f64 N 1/2)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 N 1/2)) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2)) (/.f64 1 (cbrt.f64 (+.f64 N 1/2)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2)) (cbrt.f64 (+.f64 N 1/2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) -2) (cbrt.f64 (+.f64 N 1/2))) |
(pow.f64 (+.f64 N 1/2) -1) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(pow.f64 (/.f64 1 (+.f64 N 1/2)) 1) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(pow.f64 (pow.f64 (+.f64 N 1/2) -1/2) 2) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 N 1/2))) 3) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(pow.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(sqrt.f64 (pow.f64 (+.f64 N 1/2) -2)) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 N 1/2)))) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 N 1/2)) 3)) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 N 1/2)))) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(exp.f64 (neg.f64 (log.f64 (+.f64 N 1/2)))) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(exp.f64 (*.f64 (log.f64 (+.f64 N 1/2)) -1)) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 N 1/2))) 1)) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 N 1/2)))) |
(+.f64 1 (-.f64 (/.f64 1 (+.f64 N 1/2)) 1)) |
(+.f64 (/.f64 1 (+.f64 N 1/2)) 0) |
(/.f64 1 (+.f64 N 1/2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
| ✓ | 0.0b | (-.f64 1/2 (/.f64 1/12 N)) |
| ✓ | 0.1b | (/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) |
| ✓ | 0.4b | (/.f64 1/12 N) |
Compiled 29 to 22 computations (24.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | 0 | (/.f64 1/12 N) |
| 0.0ms | N | @ | inf | (/.f64 1/12 N) |
| 0.0ms | N | @ | -inf | (/.f64 1/12 N) |
| 0.0ms | N | @ | 0 | (/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) |
| 0.0ms | N | @ | inf | (/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) |
| 1× | batch-egg-rewrite |
| 1396× | associate-*l/ |
| 964× | *-commutative |
| 730× | associate-/r* |
| 642× | distribute-lft-in |
| 624× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 64 |
| 1 | 231 | 64 |
| 2 | 3064 | 64 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/12 N) |
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) |
(-.f64 1/2 (/.f64 1/12 N)) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 906× | associate-*r* |
| 810× | associate-*l* |
| 692× | distribute-lft-in |
| 674× | associate-/l* |
| 650× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 725 | 16925 |
| 1 | 2066 | 15313 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -12 N) |
(+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2))) |
(+.f64 (*.f64 -576 (pow.f64 N 3)) (+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2)))) |
(+.f64 (*.f64 -4320 (pow.f64 N 4)) (+.f64 (*.f64 -576 (pow.f64 N 3)) (+.f64 (*.f64 -12 N) (*.f64 -72 (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 5/24 (/.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 5/24 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) |
(/.f64 -1/12 N) |
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
1/2 |
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
1/2 |
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(/.f64 -1/12 N) |
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
N |
(+.f64 N 1/2) |
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
N |
(+.f64 N 1/2) |
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/12 N))) 1) |
(*.f64 1/12 (/.f64 1 N)) |
(*.f64 (/.f64 1/12 N) 1) |
(*.f64 1 (/.f64 1/12 N)) |
(*.f64 (sqrt.f64 (/.f64 1/12 N)) (sqrt.f64 (/.f64 1/12 N))) |
(*.f64 (cbrt.f64 (/.f64 1/12 N)) (pow.f64 (cbrt.f64 (/.f64 1/12 N)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/12 N)) 2) (cbrt.f64 (/.f64 1/12 N))) |
(*.f64 (/.f64 1 N) 1/12) |
(*.f64 -1/12 (/.f64 -1 N)) |
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 1/12 (sqrt.f64 N))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 N N))) (/.f64 1/12 (cbrt.f64 N))) |
(*.f64 (/.f64 -1 N) -1/12) |
(pow.f64 (/.f64 1/12 N) 1) |
(pow.f64 (sqrt.f64 (/.f64 1/12 N)) 2) |
(pow.f64 (cbrt.f64 (/.f64 1/12 N)) 3) |
(pow.f64 (*.f64 N 12) -1) |
(pow.f64 (/.f64 1/1728 (pow.f64 N 3)) 1/3) |
(sqrt.f64 (/.f64 1/144 (*.f64 N N))) |
(log.f64 (exp.f64 (/.f64 1/12 N))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/12 N)))) |
(cbrt.f64 (/.f64 1/1728 (pow.f64 N 3))) |
(expm1.f64 (log1p.f64 (/.f64 1/12 N))) |
(exp.f64 (log.f64 (/.f64 1/12 N))) |
(log1p.f64 (expm1.f64 (/.f64 1/12 N))) |
(+.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) (*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (fma.f64 (neg.f64 (+.f64 1/2 (/.f64 -1/12 N))) 1 (+.f64 1/2 (/.f64 -1/12 N))))) |
(+.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) (*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) (+.f64 1/2 (/.f64 -1/12 N))))) |
(+.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) (*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) 2) (+.f64 1/2 (/.f64 -1/12 N))))) |
(+.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) (*.f64 (fma.f64 (neg.f64 (+.f64 1/2 (/.f64 -1/12 N))) 1 (+.f64 1/2 (/.f64 -1/12 N))) (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))))) |
(+.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) (+.f64 1/2 (/.f64 -1/12 N))) (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))))) |
(+.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) 2) (+.f64 1/2 (/.f64 -1/12 N))) (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) N) (*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (neg.f64 (+.f64 1/2 (/.f64 -1/12 N))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) N) (*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (+.f64 -1/2 (*.f64 -1 (/.f64 -1/12 N))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) N) (*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) N) (*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) 2))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (-.f64 N 1/2)) (*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (/.f64 1/12 N))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (*.f64 N N)) (*.f64 (/.f64 1 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))) (*.f64 (/.f64 1 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (*.f64 N N))) |
(+.f64 (*.f64 N (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)))) (*.f64 (neg.f64 (+.f64 1/2 (/.f64 -1/12 N))) (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))))) |
(+.f64 (*.f64 N (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)))) (*.f64 (+.f64 -1/2 (*.f64 -1 (/.f64 -1/12 N))) (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))))) |
(+.f64 (*.f64 N (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)))) (*.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))))) (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))))) |
(+.f64 (*.f64 N (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)))) (*.f64 (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) 2))) (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))))) |
(+.f64 (*.f64 (-.f64 N 1/2) (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)))) (*.f64 (/.f64 1/12 N) (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))))) |
(+.f64 (*.f64 (*.f64 N N) (/.f64 1 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))) (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))) (/.f64 1 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))))) |
(+.f64 (*.f64 (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))) (/.f64 1 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))) (*.f64 (*.f64 N N) (/.f64 1 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) 1) |
(*.f64 1 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) |
(*.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 1) |
(*.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2) (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -2)) (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) |
(*.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)) (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)))) |
(*.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))) (/.f64 1 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))) |
(*.f64 -1 (/.f64 1 (+.f64 -1/2 (-.f64 (/.f64 1/12 N) N)))) |
(*.f64 (/.f64 1 (+.f64 -1/2 (-.f64 (/.f64 1/12 N) N))) -1) |
(*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (+.f64 (/.f64 1/12 N) (-.f64 N 1/2))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) -1) (pow.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) -1)) |
(*.f64 (/.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)))) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N))) |
(*.f64 (/.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)) (-.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) 3))) (+.f64 (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N)))) |
(*.f64 (/.f64 1 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)))) (neg.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) |
(*.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))) (neg.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N))) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))) |
(*.f64 (/.f64 1 (-.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N)))) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (+.f64 (+.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))) (*.f64 (/.f64 1/12 N) (+.f64 N 1/2)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2) (sqrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))) (sqrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) |
(*.f64 (/.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2) (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)))) (sqrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) |
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(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))) (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -2)) (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))) (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -2)) (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)))) (cbrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) |
(*.f64 (/.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))) (-.f64 (*.f64 (pow.f64 N 3) (pow.f64 N 3)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) |
(*.f64 (/.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))) (+.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 N 3) (pow.f64 N 3)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (*.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))) |
(pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1) |
(pow.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 1) |
(pow.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 3)) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -2)) |
(log.f64 (exp.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 3))) |
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(exp.f64 (neg.f64 (log.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) |
(+.f64 1/2 (/.f64 -1/12 N)) |
(+.f64 (/.f64 -1/12 N) 1/2) |
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(*.f64 (+.f64 1/2 (/.f64 -1/12 N)) 1) |
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(*.f64 (/.f64 1 (+.f64 (/.f64 1/12 N) 1/2)) (+.f64 1/4 (/.f64 (/.f64 -1/144 N) N))) |
(*.f64 (/.f64 1 (+.f64 (+.f64 1/4 (/.f64 1/24 N)) (/.f64 1/144 (*.f64 N N)))) (-.f64 1/8 (/.f64 1/1728 (pow.f64 N 3)))) |
(*.f64 (/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/144 N) N)) (+.f64 1/4 (/.f64 (/.f64 -1/144 N) N))) (+.f64 1/2 (/.f64 -1/12 N))) |
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(*.f64 (/.f64 (-.f64 1/8 (/.f64 1/1728 (pow.f64 N 3))) (-.f64 1/16 (*.f64 (+.f64 (/.f64 1/144 (*.f64 N N)) (/.f64 1/24 N)) (+.f64 (/.f64 1/144 (*.f64 N N)) (/.f64 1/24 N))))) (-.f64 1/4 (+.f64 (/.f64 1/144 (*.f64 N N)) (/.f64 1/24 N)))) |
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(/.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (*.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2) (sqrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2)) (/.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2) (sqrt.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2)) (/.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2)))) |
(/.f64 (sqrt.f64 (+.f64 -1/2 (-.f64 (/.f64 1/12 N) N))) (/.f64 -1 (sqrt.f64 (+.f64 -1/2 (-.f64 (/.f64 1/12 N) N))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) (/.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2) (sqrt.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))) (/.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))) (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)))) (/.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)) (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2))) (/.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/2 (-.f64 (/.f64 1/12 N) N))) (cbrt.f64 (+.f64 -1/2 (-.f64 (/.f64 1/12 N) N)))) (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) (/.f64 -1 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (neg.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (*.f64 1 (neg.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (*.f64 -1 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (neg.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (*.f64 1 (neg.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (*.f64 -1 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N)) (*.f64 1 (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 N 3) (pow.f64 N 3)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (*.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))) |
(/.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (*.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N)))) |
(/.f64 (-.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))) |
(/.f64 (-.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))) (*.f64 1 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3) 3)) (*.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))) (-.f64 (+.f64 (*.f64 (pow.f64 N 3) (pow.f64 N 3)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (*.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) 3)) (*.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)) (+.f64 (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (+.f64 (+.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))) (*.f64 (/.f64 1/12 N) (+.f64 N 1/2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (*.f64 1 (+.f64 (+.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))) (*.f64 (/.f64 1/12 N) (+.f64 N 1/2))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) 1) (neg.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) 1) (neg.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N)) 1) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))) |
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))) 1) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) 1) (+.f64 (+.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N))) (*.f64 (/.f64 1/12 N) (+.f64 N 1/2)))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) (sqrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) (sqrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2)) (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2)) (cbrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (/.f64 1 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) 3)) (/.f64 1 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) (+.f64 (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2) (*.f64 N N)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 N 3) (pow.f64 N 3)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (/.f64 1 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) (-.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3) 3)) (/.f64 1 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) (-.f64 (+.f64 (*.f64 (pow.f64 N 3) (pow.f64 N 3)) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3))) (*.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))) |
(/.f64 (/.f64 1 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2)) (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2)) |
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -2))) |
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -2))) (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)))) (+.f64 (/.f64 1/12 N) (-.f64 N 1/2))) |
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)))) (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) |
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) -1)) (pow.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) -1)) |
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) -1)) |
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 1) (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2)) |
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2))) |
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) (sqrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2))) (sqrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2))) |
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -2)))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) 1) (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2))) (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -1/2))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)) (sqrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) (sqrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) |
(/.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2))) (cbrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2))))) (cbrt.f64 (+.f64 (/.f64 1/12 N) (-.f64 N 1/2)))) |
(/.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) (sqrt.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)) 1) (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)) (sqrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) (sqrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)) (*.f64 (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))))) (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) |
(pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 1) |
(pow.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 3) |
(pow.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 2)) |
(log.f64 (exp.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) |
(cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) |
(exp.f64 (log.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) |
(log1p.f64 (expm1.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) |
(fma.f64 1 N (+.f64 1/2 (/.f64 -1/12 N))) |
(fma.f64 1 (+.f64 1/2 (/.f64 -1/12 N)) N) |
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) N) |
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1/2 (/.f64 -1/12 N))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) N) |
(fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (+.f64 1/2 (/.f64 -1/12 N))) |
| Outputs |
|---|
(*.f64 -12 N) |
(+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2))) |
(fma.f64 -12 N (*.f64 -72 (*.f64 N N))) |
(fma.f64 -12 N (*.f64 N (*.f64 N -72))) |
(+.f64 (*.f64 -576 (pow.f64 N 3)) (+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2)))) |
(fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 -72 (*.f64 N N)))) |
(fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 N (*.f64 N -72)))) |
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(fma.f64 -4320 (pow.f64 N 4) (fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 -72 (*.f64 N N))))) |
(fma.f64 -4320 (pow.f64 N 4) (fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 N (*.f64 N -72))))) |
(/.f64 1 N) |
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(/.f64 1 N) |
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(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
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(/.f64 -1/12 N) |
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(-.f64 1/2 (/.f64 1/12 N)) |
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(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(-.f64 1/2 (/.f64 1/12 N)) |
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(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(-.f64 1/2 (/.f64 1/12 N)) |
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1/2 |
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(-.f64 1/2 (/.f64 1/12 N)) |
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(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(-.f64 1/2 (/.f64 1/12 N)) |
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(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(-.f64 1/2 (/.f64 1/12 N)) |
(+.f64 1/2 (/.f64 -1/12 N)) |
1/2 |
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(-.f64 1/2 (/.f64 1/12 N)) |
(+.f64 1/2 (/.f64 -1/12 N)) |
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(-.f64 1/2 (/.f64 1/12 N)) |
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(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(-.f64 1/2 (/.f64 1/12 N)) |
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(/.f64 -1/12 N) |
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
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(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
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(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
N |
(+.f64 N 1/2) |
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
N |
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(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
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(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
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(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/12 N))) 1) |
(/.f64 1/12 N) |
(*.f64 1/12 (/.f64 1 N)) |
(/.f64 1/12 N) |
(*.f64 (/.f64 1/12 N) 1) |
(/.f64 1/12 N) |
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(/.f64 1/12 N) |
(*.f64 (sqrt.f64 (/.f64 1/12 N)) (sqrt.f64 (/.f64 1/12 N))) |
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(/.f64 1/12 N) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/12 N)) 2) (cbrt.f64 (/.f64 1/12 N))) |
(/.f64 1/12 N) |
(*.f64 (/.f64 1 N) 1/12) |
(/.f64 1/12 N) |
(*.f64 -1/12 (/.f64 -1 N)) |
(/.f64 1/12 N) |
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(/.f64 (/.f64 1/12 (sqrt.f64 N)) (sqrt.f64 N)) |
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(/.f64 (/.f64 1/12 (cbrt.f64 N)) (cbrt.f64 (*.f64 N N))) |
(*.f64 (/.f64 -1 N) -1/12) |
(/.f64 1/12 N) |
(pow.f64 (/.f64 1/12 N) 1) |
(/.f64 1/12 N) |
(pow.f64 (sqrt.f64 (/.f64 1/12 N)) 2) |
(/.f64 1/12 N) |
(pow.f64 (cbrt.f64 (/.f64 1/12 N)) 3) |
(/.f64 1/12 N) |
(pow.f64 (*.f64 N 12) -1) |
(/.f64 1/12 N) |
(pow.f64 (/.f64 1/1728 (pow.f64 N 3)) 1/3) |
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(sqrt.f64 (/.f64 1/144 (*.f64 N N))) |
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(/.f64 1/12 N) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/12 N)))) |
(/.f64 1/12 N) |
(cbrt.f64 (/.f64 1/1728 (pow.f64 N 3))) |
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(/.f64 1/12 N) |
(exp.f64 (log.f64 (/.f64 1/12 N))) |
(/.f64 1/12 N) |
(log1p.f64 (expm1.f64 (/.f64 1/12 N))) |
(/.f64 1/12 N) |
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(/.f64 1 (-.f64 (+.f64 N 1/2) (/.f64 1/12 N))) |
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(*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (+.f64 N (+.f64 (/.f64 1/12 N) -1/2))) |
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(*.f64 (/.f64 1 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2))) (+.f64 N (+.f64 (/.f64 1/12 N) -1/2))) |
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(/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)) (*.f64 (cbrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) -1/2))) (*.f64 (cbrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) -1/2))) (cbrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) -1/2)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) (sqrt.f64 N))) (-.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))))) |
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)) (*.f64 (-.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N)))) (+.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N)))))) |
(/.f64 (-.f64 (*.f64 N N) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 2)) (*.f64 (+.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N)))) (-.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)) 1) (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) |
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)) (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)) (sqrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) (sqrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) |
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)) (*.f64 (sqrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) (sqrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)) (*.f64 (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))))) (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))) |
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (+.f64 1/2 (/.f64 -1/12 N)) 3)) (*.f64 (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) (*.f64 (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N))))) (cbrt.f64 (fma.f64 N N (*.f64 (+.f64 1/2 (/.f64 -1/12 N)) (+.f64 (/.f64 -1/12 N) (-.f64 1/2 N)))))))) |
(pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 1) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(pow.f64 (sqrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 2) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(pow.f64 (cbrt.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))) 3) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(pow.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 3) 1/3) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(sqrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 2)) |
(sqrt.f64 (pow.f64 (-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) 2)) |
(log.f64 (exp.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N)))))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(cbrt.f64 (pow.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))) 3)) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(expm1.f64 (log1p.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(exp.f64 (log.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(log1p.f64 (expm1.f64 (+.f64 N (+.f64 1/2 (/.f64 -1/12 N))))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(fma.f64 1 N (+.f64 1/2 (/.f64 -1/12 N))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(fma.f64 1 (+.f64 1/2 (/.f64 -1/12 N)) N) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(fma.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) N) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1/2 (/.f64 -1/12 N))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/12 N))) N) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(-.f64 (+.f64 N 1/2) (/.f64 1/12 N)) |
(fma.f64 (cbrt.f64 (*.f64 N N)) (cbrt.f64 N) (+.f64 1/2 (/.f64 -1/12 N))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
| ✓ | 0.1b | (/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))) |
| ✓ | 0.4b | (*.f64 1/12 (/.f64 1 N)) |
Compiled 36 to 28 computations (22.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | inf | (/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))) |
| 0.0ms | N | @ | 0 | (/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))) |
| 0.0ms | N | @ | -inf | (/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))) |
| 0.0ms | N | @ | 0 | (*.f64 1/12 (/.f64 1 N)) |
| 0.0ms | N | @ | 0 | (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
| 1× | batch-egg-rewrite |
| 1070× | *-commutative |
| 806× | distribute-lft-in |
| 788× | distribute-rgt-in |
| 764× | associate-/r* |
| 408× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 51 |
| 1 | 254 | 51 |
| 2 | 3339 | 51 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/12 (/.f64 1 N)) |
(/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))) |
(-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/12 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/12 N)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 N 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 1 (/.f64 N 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 N) 12)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/12 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 N -1/2) (/.f64 1 (*.f64 1/12 (pow.f64 N -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 1/12 N)) (/.f64 1 (sqrt.f64 (/.f64 1/12 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (*.f64 1/12 (/.f64 1 (cbrt.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 1/12 N)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/12 N)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 1/12 N)) 2) (/.f64 1 (cbrt.f64 (/.f64 1/12 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/12 (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/12 (pow.f64 N -1/2)) (/.f64 1 (pow.f64 N -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/12 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (/.f64 1 (cbrt.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/12 (sqrt.f64 N)) (sqrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/12 (sqrt.f64 N)) (neg.f64 (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/12 (pow.f64 (cbrt.f64 N) 2)) (neg.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/12 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/12 (sqrt.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/12 (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 (neg.f64 N)))) (cbrt.f64 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/12 (neg.f64 (sqrt.f64 N))) (sqrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/12 (neg.f64 (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) 1) (sqrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) (cbrt.f64 N)) (cbrt.f64 (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2))) (sqrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) (sqrt.f64 (sqrt.f64 N))) (sqrt.f64 (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) 1) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (sqrt.f64 (cbrt.f64 N))) (sqrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N)))) (cbrt.f64 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (sqrt.f64 N))) (cbrt.f64 (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/12 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/12 N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/12 N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/1728 (pow.f64 N 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -1/12 N))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 1/144 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/12 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/12 N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/1728 (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/12 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/12 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/12 N))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) N) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 (/.f64 1/12 N) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (/.f64 1/12 N)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 N 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 N 1/2)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (/.f64 1/12 N)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) 1/2) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 N (/.f64 1/12 N))))))) (#(struct:change #<rule 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#<rule egg-rr> (2) ((x fma.f64 1 N (-.f64 1/2 (/.f64 1/12 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 N 1/2) (/.f64 -1/12 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 1/2 (/.f64 1/12 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 N 1/2)) (sqrt.f64 (+.f64 N 1/2)) (/.f64 -1/12 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (-.f64 1/2 (/.f64 1/12 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) (cbrt.f64 (+.f64 N 1/2)) (/.f64 -1/12 N)))))) |
| 1× | egg-herbie |
| 866× | associate-+l+ |
| 818× | associate-*r* |
| 766× | associate-+r+ |
| 740× | +-commutative |
| 704× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 758 | 17148 |
| 1 | 2144 | 16848 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(*.f64 -12 N) |
(+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2))) |
(+.f64 (*.f64 -576 (pow.f64 N 3)) (+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2)))) |
(+.f64 (*.f64 -4320 (pow.f64 N 4)) (+.f64 (*.f64 -576 (pow.f64 N 3)) (+.f64 (*.f64 -12 N) (*.f64 -72 (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 5/24 (/.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 5/24 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) |
(/.f64 -1/12 N) |
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
N |
(+.f64 N 1/2) |
N |
(+.f64 N 1/2) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/12 N))) 1) |
(/.f64 1/12 N) |
(/.f64 1 (/.f64 N 1/12)) |
(/.f64 1 (*.f64 1 (/.f64 N 1/12))) |
(/.f64 (/.f64 1 N) 12) |
(/.f64 (/.f64 1/12 N) 1) |
(/.f64 (pow.f64 N -1/2) (/.f64 1 (*.f64 1/12 (pow.f64 N -1/2)))) |
(/.f64 (sqrt.f64 (/.f64 1/12 N)) (/.f64 1 (sqrt.f64 (/.f64 1/12 N)))) |
(/.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (*.f64 1/12 (/.f64 1 (cbrt.f64 N))))) |
(/.f64 (cbrt.f64 (/.f64 1/12 N)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/12 N)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 1/12 N)) 2) (/.f64 1 (cbrt.f64 (/.f64 1/12 N)))) |
(/.f64 -1/12 (neg.f64 N)) |
(/.f64 (*.f64 1/12 (pow.f64 N -1/2)) (/.f64 1 (pow.f64 N -1/2))) |
(/.f64 (*.f64 1/12 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (/.f64 1 (cbrt.f64 N)))) |
(/.f64 (/.f64 1/12 (sqrt.f64 N)) (sqrt.f64 N)) |
(/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N)) |
(/.f64 (/.f64 -1/12 (sqrt.f64 N)) (neg.f64 (sqrt.f64 N))) |
(/.f64 (/.f64 -1/12 (pow.f64 (cbrt.f64 N) 2)) (neg.f64 (cbrt.f64 N))) |
(/.f64 (/.f64 1/12 (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 (/.f64 -1/12 (sqrt.f64 (neg.f64 N))) (sqrt.f64 (neg.f64 N))) |
(/.f64 (/.f64 -1/12 (*.f64 (cbrt.f64 (neg.f64 N)) (cbrt.f64 (neg.f64 N)))) (cbrt.f64 (neg.f64 N))) |
(/.f64 (/.f64 -1/12 (neg.f64 (sqrt.f64 N))) (sqrt.f64 N)) |
(/.f64 (/.f64 -1/12 (neg.f64 (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 N)) |
(/.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) 1) (sqrt.f64 N)) |
(/.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) (cbrt.f64 N)) (cbrt.f64 (sqrt.f64 N))) |
(/.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2))) (sqrt.f64 (cbrt.f64 N))) |
(/.f64 (/.f64 (/.f64 1/12 (sqrt.f64 N)) (sqrt.f64 (sqrt.f64 N))) (sqrt.f64 (sqrt.f64 N))) |
(/.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) 1) (cbrt.f64 N)) |
(/.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (sqrt.f64 (cbrt.f64 N))) (sqrt.f64 (cbrt.f64 N))) |
(/.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 N) 2))) (cbrt.f64 (cbrt.f64 N))) |
(/.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N)))) (cbrt.f64 (cbrt.f64 N))) |
(/.f64 (/.f64 (/.f64 1/12 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (sqrt.f64 N))) (cbrt.f64 (sqrt.f64 N))) |
(pow.f64 (/.f64 1/12 N) 1) |
(pow.f64 (sqrt.f64 (/.f64 1/12 N)) 2) |
(pow.f64 (cbrt.f64 (/.f64 1/12 N)) 3) |
(pow.f64 (/.f64 1/1728 (pow.f64 N 3)) 1/3) |
(neg.f64 (/.f64 -1/12 N)) |
(sqrt.f64 (/.f64 (/.f64 1/144 N) N)) |
(log.f64 (exp.f64 (/.f64 1/12 N))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/12 N)))) |
(cbrt.f64 (/.f64 1/1728 (pow.f64 N 3))) |
(expm1.f64 (log1p.f64 (/.f64 1/12 N))) |
(exp.f64 (log.f64 (/.f64 1/12 N))) |
(log1p.f64 (expm1.f64 (/.f64 1/12 N))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) N) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 (/.f64 1/12 N) 1/2))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (/.f64 1/12 N)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 N 1/2))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 N 1/2)) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (/.f64 1/12 N))) |
(+.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) 1/2) (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (+.f64 N (/.f64 1/12 N)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (pow.f64 (+.f64 N 1/2) 2)) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (pow.f64 (+.f64 N 1/2) 2))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (/.f64 (/.f64 1/144 N) N))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (*.f64 (/.f64 1/12 N) (+.f64 N 1/2)))) |
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (*.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 -1/2 (+.f64 N (/.f64 -1/12 N)))) (cbrt.f64 (-.f64 -1/2 (+.f64 N (/.f64 -1/12 N))))) (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))))) (/.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))) (/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))) (/.f64 -1 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (neg.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))) (*.f64 1 (neg.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))))) |
(/.f64 (+.f64 (sqrt.f64 (+.f64 N 1/2)) (sqrt.f64 (/.f64 1/12 N))) (/.f64 1 (-.f64 (sqrt.f64 (+.f64 N 1/2)) (sqrt.f64 (/.f64 1/12 N))))) |
(/.f64 (-.f64 (*.f64 N N) (*.f64 (-.f64 1/2 (/.f64 1/12 N)) (-.f64 1/2 (/.f64 1/12 N)))) (+.f64 (+.f64 N -1/2) (/.f64 1/12 N))) |
(/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 -1/12 N) (/.f64 -1/12 N))) (+.f64 N (-.f64 1/2 (/.f64 -1/12 N)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1/2) 2) (pow.f64 (+.f64 N 1/2) 2)) (*.f64 (/.f64 (/.f64 1/144 N) N) (/.f64 (/.f64 1/144 N) N))) (*.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (/.f64 (/.f64 1/144 N) N)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 N 1/2) 3) (pow.f64 (+.f64 N 1/2) 3)) (*.f64 (/.f64 1/1728 (pow.f64 N 3)) (/.f64 1/1728 (pow.f64 N 3)))) (*.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) (+.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))) |
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1/2 (/.f64 1/12 N)) 3)) (+.f64 (*.f64 N N) (*.f64 (-.f64 1/2 (/.f64 1/12 N)) (-.f64 (-.f64 1/2 (/.f64 1/12 N)) N)))) |
(/.f64 (+.f64 (pow.f64 N 3) (pow.f64 (-.f64 1/2 (/.f64 1/12 N)) 3)) (*.f64 1 (+.f64 (*.f64 N N) (*.f64 (-.f64 1/2 (/.f64 1/12 N)) (-.f64 (-.f64 1/2 (/.f64 1/12 N)) N))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 3) (pow.f64 (/.f64 -1/12 N) 3)) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 -1/12 N) (-.f64 (/.f64 -1/12 N) (+.f64 N 1/2))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 3) (pow.f64 (/.f64 -1/12 N) 3)) (*.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 -1/12 N) (-.f64 (/.f64 -1/12 N) (+.f64 N 1/2)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1/2) 2) 3) (pow.f64 (/.f64 (/.f64 1/144 N) N) 3)) (*.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)) (+.f64 (*.f64 (pow.f64 (+.f64 N 1/2) 2) (pow.f64 (+.f64 N 1/2) 2)) (*.f64 (/.f64 (/.f64 1/144 N) N) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (/.f64 (/.f64 1/144 N) N)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 N 1/2) 3) 3) (pow.f64 (/.f64 1/1728 (pow.f64 N 3)) 3)) (*.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) (+.f64 (*.f64 (pow.f64 (+.f64 N 1/2) 3) (pow.f64 (+.f64 N 1/2) 3)) (*.f64 (/.f64 1/1728 (pow.f64 N 3)) (+.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))))) |
(/.f64 (-.f64 (*.f64 N (fma.f64 N N -1/4)) (*.f64 1/12 (+.f64 N -1/2))) (*.f64 N (+.f64 N -1/2))) |
(/.f64 (-.f64 (*.f64 N (+.f64 1/8 (pow.f64 N 3))) (*.f64 1/12 (+.f64 1/4 (*.f64 N (+.f64 N -1/2))))) (*.f64 N (+.f64 1/4 (*.f64 N (+.f64 N -1/2))))) |
(/.f64 (-.f64 (*.f64 N (+.f64 1/8 (pow.f64 N 3))) (*.f64 1/12 (+.f64 1/4 (*.f64 N (+.f64 N -1/2))))) (*.f64 1 (*.f64 N (+.f64 1/4 (*.f64 N (+.f64 N -1/2)))))) |
(/.f64 (/.f64 1 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2)) (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2)) |
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -2))) |
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -2))) (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) |
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))))) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))) |
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) -1)) (pow.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) -1)) |
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) -1)) |
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 1) (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2)) |
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2))) |
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))))) |
(/.f64 (/.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) (sqrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2))) (sqrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) 1) (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2))) (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))) 1) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))) (sqrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) (sqrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))) (*.f64 (cbrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))) (cbrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))) (cbrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) 1) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 N (fma.f64 N N -1/4)) (*.f64 1/12 (+.f64 N -1/2))) (+.f64 N -1/2)) N) |
(/.f64 (/.f64 (-.f64 (*.f64 N (+.f64 1/8 (pow.f64 N 3))) (*.f64 1/12 (+.f64 1/4 (*.f64 N (+.f64 N -1/2))))) (+.f64 1/4 (*.f64 N (+.f64 N -1/2)))) N) |
(pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 1) |
(pow.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 3) |
(pow.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 3) 1/3) |
(neg.f64 (-.f64 -1/2 (+.f64 N (/.f64 -1/12 N)))) |
(sqrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 2)) |
(log.f64 (exp.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) |
(cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 3)) |
(expm1.f64 (log.f64 (+.f64 3/2 (-.f64 N (/.f64 1/12 N))))) |
(exp.f64 (log.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))) |
(log1p.f64 (expm1.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))) |
(fma.f64 1 N (-.f64 1/2 (/.f64 1/12 N))) |
(fma.f64 1 (+.f64 N 1/2) (/.f64 -1/12 N)) |
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 1/2 (/.f64 1/12 N))) |
(fma.f64 (sqrt.f64 (+.f64 N 1/2)) (sqrt.f64 (+.f64 N 1/2)) (/.f64 -1/12 N)) |
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (-.f64 1/2 (/.f64 1/12 N))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) (cbrt.f64 (+.f64 N 1/2)) (/.f64 -1/12 N)) |
| Outputs |
|---|
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(*.f64 -12 N) |
(*.f64 N -12) |
(+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2))) |
(fma.f64 -12 N (*.f64 -72 (*.f64 N N))) |
(fma.f64 -12 N (*.f64 N (*.f64 N -72))) |
(+.f64 (*.f64 -576 (pow.f64 N 3)) (+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2)))) |
(fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 -72 (*.f64 N N)))) |
(fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 N (*.f64 N -72)))) |
(+.f64 (*.f64 -4320 (pow.f64 N 4)) (+.f64 (*.f64 -576 (pow.f64 N 3)) (+.f64 (*.f64 -12 N) (*.f64 -72 (pow.f64 N 2))))) |
(fma.f64 -4320 (pow.f64 N 4) (fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 -72 (*.f64 N N))))) |
(fma.f64 -4320 (pow.f64 N 4) (fma.f64 -576 (pow.f64 N 3) (fma.f64 -12 N (*.f64 N (*.f64 N -72))))) |
(/.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 -1/2 (*.f64 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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) |
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) |
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 5/24 (pow.f64 N 4)))) |
(+.f64 (/.f64 1 N) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 5/24 (pow.f64 N 4))) (/.f64 1/2 (*.f64 N 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 -1/2 (*.f64 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 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) |
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) |
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 5/24 (pow.f64 N 4)))) |
(+.f64 (/.f64 1 N) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 5/24 (pow.f64 N 4))) (/.f64 1/2 (*.f64 N N)))) |
(/.f64 -1/12 N) |
(-.f64 1/2 (*.f64 1/12 (/.f64 1 N))) |
(-.f64 1/2 (/.f64 1/12 N)) |
(+.f64 1/2 (/.f64 -1/12 N)) |
N |
(+.f64 N 1/2) |
N |
(+.f64 N 1/2) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/12 N))) 1) |
(/.f64 1/12 N) |
(/.f64 1/12 N) |
(/.f64 1 (/.f64 N 1/12)) |
(/.f64 1/12 N) |
(/.f64 1 (*.f64 1 (/.f64 N 1/12))) |
(/.f64 1/12 N) |
(/.f64 (/.f64 1 N) 12) |
(/.f64 1/12 N) |
(/.f64 (/.f64 1/12 N) 1) |
(/.f64 1/12 N) |
(/.f64 (pow.f64 N -1/2) (/.f64 1 (*.f64 1/12 (pow.f64 N -1/2)))) |
(/.f64 (pow.f64 N -1/2) (/.f64 12 (pow.f64 N -1/2))) |
(*.f64 (pow.f64 N -1/2) (/.f64 (pow.f64 N -1/2) 12)) |
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(pow.f64 (/.f64 1/12 N) 1) |
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(pow.f64 (sqrt.f64 (/.f64 1/12 N)) 2) |
(pow.f64 (cbrt.f64 (/.f64 1/12 N)) 3) |
(/.f64 1/12 N) |
(pow.f64 (/.f64 1/1728 (pow.f64 N 3)) 1/3) |
(cbrt.f64 (/.f64 1/1728 (pow.f64 N 3))) |
(neg.f64 (/.f64 -1/12 N)) |
(/.f64 1/12 N) |
(sqrt.f64 (/.f64 (/.f64 1/144 N) N)) |
(sqrt.f64 (/.f64 1/144 (*.f64 N N))) |
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(/.f64 1/12 N) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/12 N)))) |
(/.f64 1/12 N) |
(cbrt.f64 (/.f64 1/1728 (pow.f64 N 3))) |
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(/.f64 1/12 N) |
(exp.f64 (log.f64 (/.f64 1/12 N))) |
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(log1p.f64 (expm1.f64 (/.f64 1/12 N))) |
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(/.f64 (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144))) |
(/.f64 (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144))) |
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(/.f64 (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144))) |
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(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2))) (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)))) (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) |
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(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2))) (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)))) (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) |
(+.f64 (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (/.f64 (/.f64 1/144 N) N))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (*.f64 (/.f64 1/12 N) (+.f64 N 1/2)))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (+.f64 (+.f64 (/.f64 1/144 (*.f64 N N)) (pow.f64 (+.f64 N 1/2) 2)) (*.f64 (/.f64 1/12 N) (+.f64 N 1/2)))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (+.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N 1/2))))) |
(+.f64 (*.f64 N (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))))) (*.f64 (+.f64 (/.f64 1/12 N) 1/2) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))))) |
(/.f64 (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144))) |
(/.f64 (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144))) |
(+.f64 (*.f64 (/.f64 1/12 N) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))))) (*.f64 (+.f64 N 1/2) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))))) |
(/.f64 (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144))) |
(/.f64 (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144))) |
(+.f64 (*.f64 (+.f64 N 1/2) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))))) (*.f64 (/.f64 1/12 N) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))))) |
(/.f64 (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144))) |
(/.f64 (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144))) |
(+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))))) (*.f64 (+.f64 N (/.f64 1/12 N)) (/.f64 1 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2)))))) |
(/.f64 (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144))) |
(/.f64 (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144))) |
(+.f64 (*.f64 (pow.f64 (+.f64 N 1/2) 2) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))) (*.f64 (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2))) (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)))) (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) |
(+.f64 (*.f64 (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))) (*.f64 (pow.f64 (+.f64 N 1/2) 2) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2))) (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)))) (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) |
(+.f64 (*.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (/.f64 (/.f64 1/144 N) N)) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))))) (*.f64 (*.f64 (/.f64 1/12 N) (+.f64 N 1/2)) (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (+.f64 (+.f64 (/.f64 1/144 (*.f64 N N)) (pow.f64 (+.f64 N 1/2) 2)) (*.f64 (/.f64 1/12 N) (+.f64 N 1/2)))) |
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3)))) (+.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N 1/2))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) 1) |
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) |
(/.f64 1 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))) |
(*.f64 1 (/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))) |
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) |
(/.f64 1 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))) |
(*.f64 (/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 1) |
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) |
(/.f64 1 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))) |
(*.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2) (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2)) |
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) |
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(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))) 2) (*.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2))) (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2)) (cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) -1/2)))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))) 2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) -1/2)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) -1/2)))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))))) |
(/.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))) 2) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))) 1) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144)) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2)) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144)) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))) (sqrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) (sqrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144)) (*.f64 (sqrt.f64 (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2)) (sqrt.f64 (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144)) (*.f64 (sqrt.f64 (+.f64 (/.f64 1/12 N) (+.f64 N 1/2))) (sqrt.f64 (+.f64 (/.f64 1/12 N) (+.f64 N 1/2))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 -1/144 (pow.f64 N -2))) (*.f64 (cbrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))) (cbrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))) (cbrt.f64 (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144)) (*.f64 (cbrt.f64 (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2)) (*.f64 (cbrt.f64 (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2)) (cbrt.f64 (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (pow.f64 N -2) -1/144)) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/12 N) (+.f64 N 1/2))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/12 N) (+.f64 N 1/2))) (cbrt.f64 (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) 1) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 N (+.f64 (/.f64 1/12 N) 1/2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (+.f64 N (/.f64 1/12 N)) 1/2))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 N 1/2) 3) (/.f64 1/1728 (pow.f64 N 3))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2)))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 N 1/2) 2) (*.f64 (/.f64 1/12 N) (+.f64 (/.f64 1/12 N) (+.f64 N 1/2))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 N (fma.f64 N N -1/4)) (*.f64 1/12 (+.f64 N -1/2))) (+.f64 N -1/2)) N) |
(/.f64 (+.f64 (*.f64 N (fma.f64 N N -1/4)) (*.f64 -1/12 (+.f64 N -1/2))) (*.f64 N (+.f64 N -1/2))) |
(/.f64 (+.f64 (*.f64 N (fma.f64 N N -1/4)) (+.f64 1/24 (*.f64 -1/12 N))) (*.f64 N (+.f64 N -1/2))) |
(/.f64 (/.f64 (-.f64 (*.f64 N (+.f64 1/8 (pow.f64 N 3))) (*.f64 1/12 (+.f64 1/4 (*.f64 N (+.f64 N -1/2))))) (+.f64 1/4 (*.f64 N (+.f64 N -1/2)))) N) |
(/.f64 (-.f64 (*.f64 N (+.f64 (pow.f64 N 3) 1/8)) (+.f64 1/48 (*.f64 1/12 (*.f64 N (+.f64 N -1/2))))) (*.f64 N (+.f64 (*.f64 N (+.f64 N -1/2)) 1/4))) |
(/.f64 (/.f64 (+.f64 (*.f64 N 1/8) (-.f64 (pow.f64 N 4) (+.f64 1/48 (*.f64 (+.f64 N -1/2) (*.f64 1/12 N))))) N) (+.f64 (*.f64 N (+.f64 N -1/2)) 1/4)) |
(pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 1) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) |
(pow.f64 (sqrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 2) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) |
(pow.f64 (cbrt.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) 3) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) |
(pow.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 3) 1/3) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) |
(neg.f64 (-.f64 -1/2 (+.f64 N (/.f64 -1/12 N)))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) |
(sqrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 2)) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) 2)) |
(log.f64 (exp.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) |
(cbrt.f64 (pow.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))) 3)) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) |
(expm1.f64 (log.f64 (+.f64 3/2 (-.f64 N (/.f64 1/12 N))))) |
(expm1.f64 (log.f64 (+.f64 (-.f64 N (/.f64 1/12 N)) 3/2))) |
(exp.f64 (log.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) |
(log1p.f64 (expm1.f64 (+.f64 N (-.f64 1/2 (/.f64 1/12 N))))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) |
(fma.f64 1 N (-.f64 1/2 (/.f64 1/12 N))) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) |
(fma.f64 1 (+.f64 N 1/2) (/.f64 -1/12 N)) |
(+.f64 N (-.f64 1/2 (/.f64 1/12 N))) |
(+.f64 (/.f64 -1/12 N) (+.f64 N 1/2)) |
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (-.f64 1/2 (/.f64 1/12 N))) |
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (+.f64 1/2 (/.f64 -1/12 N))) |
(fma.f64 (sqrt.f64 (+.f64 N 1/2)) (sqrt.f64 (+.f64 N 1/2)) (/.f64 -1/12 N)) |
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (-.f64 1/2 (/.f64 1/12 N))) |
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (+.f64 1/2 (/.f64 -1/12 N))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 N 1/2)) 2) (cbrt.f64 (+.f64 N 1/2)) (/.f64 -1/12 N)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
| ✓ | 0.3b | (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) |
| ✓ | 0.4b | (/.f64 1/3 N) |
Compiled 41 to 26 computations (36.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | 0 | (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) |
| 0.0ms | N | @ | 0 | (/.f64 1/3 N) |
| 0.0ms | N | @ | inf | (/.f64 1/3 N) |
| 0.0ms | N | @ | -inf | (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) |
| 0.0ms | N | @ | inf | (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) |
| 1× | batch-egg-rewrite |
| 1842× | associate-/l* |
| 976× | associate-/r/ |
| 878× | associate-/l/ |
| 290× | add-sqr-sqrt |
| 272× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 69 |
| 1 | 283 | 65 |
| 2 | 4197 | 65 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/3 N) |
(/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) |
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
| Outputs |
|---|
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N) -1/2) (pow.f64 N -2) (/.f64 1 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 N) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) (/.f64 1 N)))))) |
| 1× | egg-herbie |
| 956× | associate-+r+ |
| 942× | +-commutative |
| 764× | associate-*r* |
| 642× | associate-*l* |
| 586× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 483 | 9450 |
| 1 | 1494 | 8834 |
| 2 | 6919 | 8834 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/3 (pow.f64 N 3)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(/.f64 -1/2 (pow.f64 N 2)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(/.f64 -1/2 (pow.f64 N 2)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(/.f64 1/3 (pow.f64 N 3)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.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 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 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 N))) 1) |
(*.f64 1/3 (/.f64 1 N)) |
(*.f64 (/.f64 1/3 N) 1) |
(*.f64 1 (/.f64 1/3 N)) |
(*.f64 (/.f64 1 N) 1/3) |
(*.f64 (pow.f64 N -1/2) (/.f64 1/3 (sqrt.f64 N))) |
(*.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N))) |
(*.f64 (cbrt.f64 (/.f64 1/3 N)) (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2) (cbrt.f64 (/.f64 1/3 N))) |
(*.f64 -1/3 (/.f64 1 (neg.f64 N))) |
(*.f64 (*.f64 1/3 (pow.f64 N -1/2)) (pow.f64 N -1/2)) |
(*.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1/3 (cbrt.f64 N))) |
(*.f64 (/.f64 1/3 (sqrt.f64 N)) (pow.f64 N -1/2)) |
(*.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N))) |
(*.f64 (/.f64 1 (neg.f64 N)) -1/3) |
(*.f64 (/.f64 1/3 (neg.f64 N)) -1) |
(pow.f64 (/.f64 1/3 N) 1) |
(pow.f64 (sqrt.f64 (/.f64 1/3 N)) 2) |
(pow.f64 (cbrt.f64 (/.f64 1/3 N)) 3) |
(pow.f64 (*.f64 N 3) -1) |
(pow.f64 (*.f64 1/27 (pow.f64 N -3)) 1/3) |
(sqrt.f64 (*.f64 1/9 (pow.f64 N -2))) |
(log.f64 (exp.f64 (/.f64 1/3 N))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 N)))) |
(cbrt.f64 (*.f64 1/27 (pow.f64 N -3))) |
(expm1.f64 (log1p.f64 (/.f64 1/3 N))) |
(exp.f64 (log.f64 (/.f64 1/3 N))) |
(exp.f64 (*.f64 (log.f64 (/.f64 1/3 N)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1/3 N))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/3 (pow.f64 N -3))) |
(-.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) 1) |
(*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) |
(*.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 1) |
(*.f64 1 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) |
(*.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 N -2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 N -2))) |
(*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (/.f64 1 N)) |
(*.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2)) |
(*.f64 (-.f64 1/2 (/.f64 1/3 N)) (/.f64 1 (*.f64 N (neg.f64 N)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 (cbrt.f64 N) 2))) |
(*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 (sqrt.f64 N) N)) (pow.f64 N -1/2)) |
(*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 (pow.f64 (cbrt.f64 N) 2) N)) (/.f64 1 (cbrt.f64 N))) |
(*.f64 (/.f64 1 (*.f64 N (neg.f64 N))) (-.f64 1/2 (/.f64 1/3 N))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N N))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N N)) (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (cbrt.f64 (pow.f64 N 4))) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 (cbrt.f64 N) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) N) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N N))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (*.f64 N N)) (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2))) |
(*.f64 (/.f64 1 (/.f64 N (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) N))) (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2))) |
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (neg.f64 N)) -1) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4) (pow.f64 N -2)) (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4)) (+.f64 (/.f64 1/3 N) -1/2)) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4) (pow.f64 N -2)) (+.f64 1/8 (*.f64 1/27 (pow.f64 N -3)))) (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (/.f64 1/6 N)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8) (pow.f64 N -2)) (-.f64 (*.f64 (*.f64 1/9 (pow.f64 N -2)) (*.f64 1/9 (pow.f64 N -2))) (*.f64 (+.f64 1/4 (/.f64 1/6 N)) (+.f64 1/4 (/.f64 1/6 N))))) (-.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8) (pow.f64 N -2)) (+.f64 (pow.f64 (*.f64 1/9 (pow.f64 N -2)) 3) (pow.f64 (+.f64 1/4 (/.f64 1/6 N)) 3))) (+.f64 (*.f64 (*.f64 1/9 (pow.f64 N -2)) (*.f64 1/9 (pow.f64 N -2))) (-.f64 (*.f64 (+.f64 1/4 (/.f64 1/6 N)) (+.f64 1/4 (/.f64 1/6 N))) (*.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N)))))) |
(pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) 2) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 3) |
(pow.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) -1) |
(pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N (neg.f64 N)))) |
(sqrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) |
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 N -2))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) |
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) |
(-.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 1 N))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)))) 1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) (-.f64 1 (/.f64 1 N))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 N))) (-.f64 1 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) |
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (pow.f64 N -3))) (*.f64 1/2 (pow.f64 N -2))) |
(-.f64 (/.f64 (pow.f64 N -2) (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)) (*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) N)) |
(-.f64 (+.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) (exp.f64 (log1p.f64 (/.f64 1 N)))) 1) |
(-.f64 (+.f64 (/.f64 1 N) (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))) 1) |
(*.f64 1 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))) |
(*.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 1) |
(*.f64 (hypot.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N)) (hypot.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) N) (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) N) 2)) |
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) N) 2) (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) N)) |
(*.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (*.f64 (/.f64 1 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) N)) |
(*.f64 (pow.f64 N -3) (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) |
(*.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3)) (/.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2)))))) |
(*.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2))) (pow.f64 N -3)) |
(*.f64 (*.f64 (/.f64 1 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) N) (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2))))) (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))) (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (-.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))) (+.f64 (pow.f64 N -2) (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (-.f64 (*.f64 N N) (*.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) (pow.f64 N 3)) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) N) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (-.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) N)) (*.f64 N (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (-.f64 N (*.f64 N (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))) (*.f64 N N)) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (-.f64 (*.f64 N (neg.f64 N)) (*.f64 N (-.f64 1/2 (/.f64 1/3 N))))) (*.f64 N (*.f64 N (neg.f64 N)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (-.f64 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 N) (+.f64 (/.f64 1/3 N) -1/2)))) (*.f64 (neg.f64 N) (*.f64 N N))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (-.f64 (*.f64 -1 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2))) (*.f64 (neg.f64 N) 1))) (*.f64 (neg.f64 N) (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (-.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))) (*.f64 N (neg.f64 N))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (-.f64 (*.f64 -1 (*.f64 N (neg.f64 N))) (*.f64 (neg.f64 N) (-.f64 1/2 (/.f64 1/3 N))))) (*.f64 (neg.f64 N) (*.f64 N (neg.f64 N)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3)) (-.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2))) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2)))))) (+.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3)) (+.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2))) 3))) (+.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (-.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2))) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2)))) (*.f64 (pow.f64 N -2) (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2))))))) |
(/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) |
(/.f64 1 (/.f64 (pow.f64 N 3) (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2))))) |
(/.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) (/.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N))) |
(/.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)) |
(/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3)) (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2))))) |
(/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2)))) (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2)))) (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)))) |
(/.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2))) (pow.f64 N 3)) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))) (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2)))) (sqrt.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))))) |
(/.f64 (sqrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) (/.f64 (pow.f64 N 3) (sqrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))) (/.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) (sqrt.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))) (cbrt.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3)))) (/.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2)))) (cbrt.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) (cbrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2))))) (/.f64 (pow.f64 N 3) (cbrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))))) (/.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))))) |
(/.f64 (/.f64 N (/.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) (*.f64 N N)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (pow.f64 N -2)) (-.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) (/.f64 1 N))) |
(/.f64 (-.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))) (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2)))) (-.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3)))) |
(/.f64 (-.f64 (pow.f64 N 4) (*.f64 (*.f64 N (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) (*.f64 (pow.f64 N 3) (-.f64 (*.f64 N N) (*.f64 N (+.f64 (/.f64 1/3 N) -1/2))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))) (*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (pow.f64 N -2)))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) 3)) (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2)))) (-.f64 (+.f64 (*.f64 (pow.f64 N -3) (pow.f64 N -3)) (*.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))) (*.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (*.f64 N (+.f64 (/.f64 1/3 N) -1/2)) 3)) (*.f64 (pow.f64 N 3) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (*.f64 N (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N (+.f64 (/.f64 1/3 N) -1/2))) (*.f64 (*.f64 N N) (*.f64 N (+.f64 (/.f64 1/3 N) -1/2))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) 3)) (*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) (+.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (*.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))))))) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (neg.f64 N)) (*.f64 (*.f64 N N) -1)) (*.f64 (*.f64 N N) (neg.f64 N))) |
(/.f64 (+.f64 N (*.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) 1)) (*.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) N)) |
(/.f64 (+.f64 (neg.f64 N) (*.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) -1)) (*.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) (neg.f64 N))) |
(/.f64 (+.f64 N (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N)) (*.f64 N N)) |
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (neg.f64 N)) (*.f64 N -1)) (*.f64 N (neg.f64 N))) |
(/.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/3 N)) N) (*.f64 (*.f64 N (neg.f64 N)) 1)) (*.f64 (*.f64 N (neg.f64 N)) N)) |
(/.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/3 N)) (neg.f64 N)) (*.f64 (*.f64 N (neg.f64 N)) -1)) (*.f64 (*.f64 N (neg.f64 N)) (neg.f64 N))) |
(/.f64 (+.f64 N (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2))) (*.f64 N (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)))) |
(/.f64 (+.f64 N (*.f64 N (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (*.f64 N N)) |
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (*.f64 N (-.f64 1/2 (/.f64 1/3 N)))) (*.f64 N (*.f64 N (neg.f64 N)))) |
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 N) (+.f64 (/.f64 1/3 N) -1/2))) (*.f64 (neg.f64 N) (*.f64 N N))) |
(/.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2))) (*.f64 (neg.f64 N) 1)) (*.f64 (neg.f64 N) (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)))) |
(/.f64 (+.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (*.f64 N (neg.f64 N))) |
(/.f64 (+.f64 (*.f64 -1 (*.f64 N (neg.f64 N))) (*.f64 (neg.f64 N) (-.f64 1/2 (/.f64 1/3 N)))) (*.f64 (neg.f64 N) (*.f64 N (neg.f64 N)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))) (neg.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))) (neg.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2)))))) |
(/.f64 (neg.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) (neg.f64 (pow.f64 N 3))) |
(pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 1) |
(pow.f64 (hypot.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N)) 2) |
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) N) 3) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 2)) |
(log.f64 (exp.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))))) |
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)))) |
(exp.f64 (log.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)))) |
(fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 1 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) (/.f64 1 N)) |
(fma.f64 1 (/.f64 1 N) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) |
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) |
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 1 N)) |
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) (/.f64 1 N)) |
| Outputs |
|---|
(/.f64 1/3 (pow.f64 N 3)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))))) (/.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)))) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4))))) (/.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) (cbrt.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4)))) (cbrt.f64 (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4))))) (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N))) (*.f64 N (cbrt.f64 (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4)))))) |
(/.f64 (/.f64 N (/.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) (*.f64 N N)) |
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (pow.f64 N -2)) (-.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) (/.f64 1 N))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)) (pow.f64 N -2)) (-.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) (/.f64 1 N))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4)) (pow.f64 N -2)) (fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 -1 N))) |
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(/.f64 (-.f64 (pow.f64 N 4) (*.f64 N (*.f64 N (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2)))) (*.f64 (pow.f64 N 4) (+.f64 N (+.f64 1/2 (/.f64 -1/3 N))))) |
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(/.f64 (-.f64 (pow.f64 N -4) (*.f64 (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)) (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)))) (*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) (+.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -4) (*.f64 (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4)) (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4)))) (*.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) (+.f64 (pow.f64 N -2) (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4))))) N) |
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(/.f64 (+.f64 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) 3) 3)) (*.f64 (+.f64 (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 -1/2 (/.f64 1/3 N))))) (+.f64 (pow.f64 N -6) (-.f64 (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) 6) (*.f64 (pow.f64 N -3) (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) 3)))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 N -3) 3) (pow.f64 (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) 3) 3)) (*.f64 (+.f64 (pow.f64 N -2) (+.f64 (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4)) (*.f64 (pow.f64 N -3) (+.f64 1/2 (/.f64 -1/3 N))))) (+.f64 (pow.f64 N -6) (-.f64 (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) 6) (*.f64 (pow.f64 N -3) (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) 3)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (*.f64 N (+.f64 (/.f64 1/3 N) -1/2)) 3)) (*.f64 (pow.f64 N 3) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 (*.f64 N (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 N (+.f64 (/.f64 1/3 N) -1/2))) (*.f64 (*.f64 N N) (*.f64 N (+.f64 (/.f64 1/3 N) -1/2))))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 (*.f64 N (+.f64 -1/2 (/.f64 1/3 N))) 3)) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (*.f64 (*.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (-.f64 (*.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N))))) |
(/.f64 (+.f64 (pow.f64 N 6) (pow.f64 (*.f64 N (+.f64 -1/2 (/.f64 1/3 N))) 3)) (*.f64 (pow.f64 N 3) (fma.f64 (*.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N (-.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (pow.f64 N 4)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) 3)) (*.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N) (+.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (+.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))) (*.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)) 3)) (/.f64 (-.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) (+.f64 (pow.f64 N -4) (*.f64 (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)) (+.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) 6)) (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)) (fma.f64 (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4)) (+.f64 (pow.f64 N -2) (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4))) (pow.f64 N -4))) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (neg.f64 N)) (*.f64 (*.f64 N N) -1)) (*.f64 (*.f64 N N) (neg.f64 N))) |
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
(/.f64 (+.f64 N (*.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) 1)) (*.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) N)) |
(/.f64 (+.f64 N (/.f64 N (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (/.f64 (pow.f64 N 3) (+.f64 -1/2 (/.f64 1/3 N)))) |
(/.f64 (+.f64 N (*.f64 (/.f64 N (+.f64 -1/2 (/.f64 1/3 N))) N)) (/.f64 (pow.f64 N 3) (+.f64 -1/2 (/.f64 1/3 N)))) |
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(/.f64 (fma.f64 -1 (/.f64 N (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (neg.f64 N)) (/.f64 (neg.f64 (pow.f64 N 3)) (+.f64 -1/2 (/.f64 1/3 N)))) |
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(/.f64 (+.f64 N (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) N)) (*.f64 N N)) |
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
(/.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (neg.f64 N)) (*.f64 N -1)) (*.f64 N (neg.f64 N))) |
(/.f64 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) (neg.f64 N) (neg.f64 N)) (neg.f64 (*.f64 N N))) |
(/.f64 (-.f64 (+.f64 1/2 (/.f64 -1/3 N)) N) (*.f64 N (neg.f64 N))) |
(/.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/3 N)) N) (*.f64 (*.f64 N (neg.f64 N)) 1)) (*.f64 (*.f64 N (neg.f64 N)) N)) |
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
(/.f64 (+.f64 (*.f64 (-.f64 1/2 (/.f64 1/3 N)) (neg.f64 N)) (*.f64 (*.f64 N (neg.f64 N)) -1)) (*.f64 (*.f64 N (neg.f64 N)) (neg.f64 N))) |
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
(/.f64 (+.f64 N (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2))) (*.f64 N (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)))) |
(/.f64 (+.f64 N (/.f64 N (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (/.f64 (pow.f64 N 3) (+.f64 -1/2 (/.f64 1/3 N)))) |
(/.f64 (+.f64 N (*.f64 (/.f64 N (+.f64 -1/2 (/.f64 1/3 N))) N)) (/.f64 (pow.f64 N 3) (+.f64 -1/2 (/.f64 1/3 N)))) |
(/.f64 (+.f64 N (*.f64 N (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (*.f64 N N)) |
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (*.f64 N (-.f64 1/2 (/.f64 1/3 N)))) (*.f64 N (*.f64 N (neg.f64 N)))) |
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (*.f64 (neg.f64 N) (+.f64 (/.f64 1/3 N) -1/2))) (*.f64 (neg.f64 N) (*.f64 N N))) |
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
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(*.f64 (/.f64 (-.f64 (neg.f64 N) (*.f64 (/.f64 N (+.f64 -1/2 (/.f64 1/3 N))) N)) (neg.f64 (pow.f64 N 3))) (+.f64 -1/2 (/.f64 1/3 N))) |
(/.f64 (+.f64 (neg.f64 N) (*.f64 (neg.f64 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) (*.f64 N (neg.f64 N))) |
(/.f64 (fma.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) (neg.f64 N) (neg.f64 N)) (neg.f64 (*.f64 N N))) |
(/.f64 (-.f64 (+.f64 1/2 (/.f64 -1/3 N)) N) (*.f64 N (neg.f64 N))) |
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(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))) (neg.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N))) |
(/.f64 (-.f64 (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)) (pow.f64 N -2)) (-.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) (/.f64 1 N))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4)) (pow.f64 N -2)) (fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 -1 N))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3))) (neg.f64 (+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 (/.f64 1/3 N) -1/2)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) 3))) (neg.f64 (+.f64 (/.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N 4)) (-.f64 (pow.f64 N -2) (*.f64 (pow.f64 N -3) (+.f64 -1/2 (/.f64 1/3 N))))))) |
(*.f64 1 (/.f64 (+.f64 (pow.f64 N -3) (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) 3)) (+.f64 (pow.f64 N -2) (+.f64 (*.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2) (pow.f64 N -4)) (*.f64 (pow.f64 N -3) (+.f64 1/2 (/.f64 -1/3 N))))))) |
(/.f64 (neg.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) (neg.f64 (pow.f64 N 3))) |
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
(pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 1) |
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)) |
(pow.f64 (hypot.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N)) 2) |
(pow.f64 (hypot.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N)) 2) |
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 (/.f64 1/3 N) -1/2)))) N) 3) |
(pow.f64 (/.f64 (cbrt.f64 (*.f64 N (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))))) N) 3) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 3) 1/3) |
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 2)) |
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) 2)) |
(fabs.f64 (fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))) |
(log.f64 (exp.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)))) |
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))))) |
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)) |
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) 3)) |
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)) |
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)))) |
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)) |
(exp.f64 (log.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)))) |
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N))) 1)) |
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)) |
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)))) |
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)) |
(fma.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)) |
(fma.f64 1 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) (/.f64 1 N)) |
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)) |
(fma.f64 1 (/.f64 1 N) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) |
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) |
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)) |
(fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 1 N)) |
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)) |
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) |
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))) |
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) (/.f64 1 N)) |
(fma.f64 (+.f64 -1/2 (/.f64 1/3 N)) (pow.f64 N -2) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N)) |
Compiled 35231 to 27243 computations (22.7% saved)
11 alts after pruning (6 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1366 | 5 | 1371 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 4 | 6 |
| Total | 1368 | 11 | 1379 |
| Status | Error | Program |
|---|---|---|
| 46.5b | (/.f64 (+.f64 N (+.f64 1/2 (/.f64 1/12 N))) (-.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N)))) | |
| 30.4b | (/.f64 1 (-.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (-.f64 (/.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2)) N))) | |
| 30.5b | (/.f64 1 (-.f64 (+.f64 N 1/2) (/.f64 1/12 N))) | |
| ✓ | 27.0b | (/.f64 1 (+.f64 N 1/2)) |
| ✓ | 30.5b | (/.f64 1 N) |
| ✓ | 30.8b | (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
| 46.1b | (*.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))) (+.f64 (-.f64 N 1/2) (/.f64 1/12 N))) (+.f64 (/.f64 1/12 N) (+.f64 N -1/2))) | |
| ✓ | 33.0b | (neg.f64 (log.f64 N)) |
| ✓ | 0.0b | (log1p.f64 (/.f64 1 N)) |
| 61.0b | N | |
| 57.7b | 2 |
Compiled 119 to 91 computations (23.5% saved)
| Inputs |
|---|
2 |
N |
(/.f64 1 N) |
(/.f64 1 (+.f64 N 1/2)) |
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) |
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) |
(/.f64 1 (-.f64 (+.f64 N 1/2) (/.f64 1/12 N))) |
(/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))) |
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N)))) |
(/.f64 (+.f64 N (+.f64 1/2 (/.f64 1/12 N))) (-.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N)))) |
(/.f64 1 (-.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (-.f64 (/.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2)) N))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))) (+.f64 (-.f64 N 1/2) (/.f64 1/12 N))) (+.f64 (/.f64 1/12 N) (+.f64 N -1/2))) |
(neg.f64 (log.f64 N)) |
(log1p.f64 (/.f64 1 N)) |
(-.f64 N (log.f64 N)) |
(log.f64 (/.f64 (+.f64 N 1) N)) |
(log1p.f64 (+.f64 (/.f64 1 N) 0)) |
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) |
(/.f64 1 (/.f64 1 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (*.f64 (pow.f64 N -2) -1/2)) (/.f64 1 N)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) |
| Outputs |
|---|
(log1p.f64 (/.f64 1 N)) |
2 calls:
| 12.0ms | N |
| 7.0ms | (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | N |
| 0.0b | 1 | (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
Compiled 279 to 187 computations (33% saved)
| Inputs |
|---|
2 |
N |
(/.f64 1 N) |
(/.f64 1 (+.f64 N 1/2)) |
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) |
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) |
(/.f64 1 (-.f64 (+.f64 N 1/2) (/.f64 1/12 N))) |
(/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))) |
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N)))) |
(/.f64 (+.f64 N (+.f64 1/2 (/.f64 1/12 N))) (-.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N)))) |
(/.f64 1 (-.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (-.f64 (/.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2)) N))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))) (+.f64 (-.f64 N 1/2) (/.f64 1/12 N))) (+.f64 (/.f64 1/12 N) (+.f64 N -1/2))) |
(neg.f64 (log.f64 N)) |
| Outputs |
|---|
(neg.f64 (log.f64 N)) |
(/.f64 1 (-.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (-.f64 (/.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2)) N))) |
1 calls:
| 20.0ms | N |
| Error | Segments | Branch |
|---|---|---|
| 1.0b | 2 | N |
Compiled 155 to 110 computations (29% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.4971490473568511e-5 | 0.9245735378007891 |
| 17.0ms | 128× | body | 256 | valid |
Compiled 252 to 201 computations (20.2% saved)
| Inputs |
|---|
2 |
N |
(/.f64 1 N) |
(/.f64 1 (+.f64 N 1/2)) |
(+.f64 (/.f64 1 N) (/.f64 (/.f64 -1/2 N) N)) |
(/.f64 1 (+.f64 N (-.f64 1/2 (/.f64 1/12 N)))) |
(/.f64 1 (-.f64 (+.f64 N 1/2) (/.f64 1/12 N))) |
(/.f64 1 (-.f64 (+.f64 N 1/2) (*.f64 1/12 (/.f64 1 N)))) |
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 1/2 (*.f64 N N)))) |
(/.f64 (+.f64 N (+.f64 1/2 (/.f64 1/12 N))) (-.f64 (*.f64 (+.f64 N 1/2) (+.f64 N 1/2)) (/.f64 1/144 (*.f64 N N)))) |
(/.f64 1 (-.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (-.f64 (/.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2)) N))) |
(*.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 -1/12 N) (+.f64 N 1/2))) (+.f64 (-.f64 N 1/2) (/.f64 1/12 N))) (+.f64 (/.f64 1/12 N) (+.f64 N -1/2))) |
| Outputs |
|---|
(/.f64 1 (+.f64 N 1/2)) |
1 calls:
| 10.0ms | N |
| Error | Segments | Branch |
|---|---|---|
| 27.0b | 1 | N |
Compiled 152 to 108 computations (28.9% saved)
| Inputs |
|---|
2 |
N |
(/.f64 1 N) |
| Outputs |
|---|
2 |
(/.f64 1 N) |
1 calls:
| 7.0ms | N |
| Error | Segments | Branch |
|---|---|---|
| 27.7b | 2 | N |
Compiled 8 to 5 computations (37.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.4971490473568511e-5 | 0.9245735378007891 |
| 16.0ms | 128× | body | 256 | valid |
Compiled 76 to 65 computations (14.5% saved)
Total -3.4b remaining (-5.8%)
Threshold costs -3.4b (-5.8%)
| Inputs |
|---|
2 |
N |
| Outputs |
|---|
2 |
1 calls:
| 3.0ms | N |
| Error | Segments | Branch |
|---|---|---|
| 57.7b | 1 | N |
Compiled 5 to 3 computations (40% saved)
| 1× | egg-herbie |
| 26× | +-commutative |
| 26× | *-commutative |
| 16× | neg-sub0 |
| 14× | sub-neg |
| 12× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 127 |
| 1 | 44 | 127 |
| 2 | 55 | 127 |
| 3 | 72 | 127 |
| 4 | 94 | 127 |
| 5 | 102 | 127 |
| 6 | 108 | 127 |
| 7 | 113 | 127 |
| 8 | 115 | 127 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(log1p.f64 (/.f64 1 N)) |
(if (<=.f64 N 3152519739159347/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 1 (-.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (-.f64 (/.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2)) N)))) |
(/.f64 1 (+.f64 N 1/2)) |
(if (<=.f64 N 1/2) 2 (/.f64 1 N)) |
2 |
| Outputs |
|---|
(log1p.f64 (/.f64 1 N)) |
(if (<=.f64 N 3152519739159347/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 1 (-.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (-.f64 (/.f64 (/.f64 1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2)) N)))) |
(if (<=.f64 N 3152519739159347/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 1 (+.f64 (/.f64 1/4 (+.f64 (/.f64 1/12 N) 1/2)) (+.f64 N (/.f64 (/.f64 -1/144 (*.f64 N N)) (+.f64 (/.f64 1/12 N) 1/2)))))) |
(/.f64 1 (+.f64 N 1/2)) |
(if (<=.f64 N 1/2) 2 (/.f64 1 N)) |
2 |
Compiled 53 to 42 computations (20.8% saved)
| 2× | egg-herbie |
| 900× | fma-def |
| 878× | associate-/r* |
| 830× | *-commutative |
| 796× | distribute-lft-in |
| 774× | associate-*r/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 1609 |
| 1 | 424 | 1559 |
| 2 | 1712 | 1547 |
| 3 | 6886 | 1547 |
| 0 | 63 | 717 |
| 1 | 152 | 619 |
| 2 | 582 | 523 |
| 3 | 2222 | 515 |
| 4 | 5340 | 515 |
| 1× | node limit |
| 1× | node limit |
Compiled 134 to 111 computations (17.2% saved)
Compiled 49 to 38 computations (22.4% saved)
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