Time bar (total: 7.7s)
| 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)
| 735.0ms | 4853× | body | 256 | valid |
| 692.0ms | 2092× | body | 1024 | valid |
| 268.0ms | 1058× | body | 512 | valid |
| 143.0ms | 253× | body | 2048 | 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 |
|---|---|---|
| ▶ | 32.2b | (-.f64 (log1p.f64 N) (log.f64 N)) |
| ▶ | 32.2b | (-.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 |
|---|---|---|
| ✓ | 2.1b | (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
| ✓ | 3.5b | (log.f64 (+.f64 N 1)) |
Compiled 19 to 12 computations (36.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | 0 | (log.f64 (+.f64 N 1)) |
| 0.0ms | N | @ | -inf | (-.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)) |
| 0.0ms | N | @ | inf | (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
| 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 |
|---|
(log.f64 (+.f64 N 1)) |
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
| Outputs |
|---|
((#(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))))) |
((#(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))))))) |
| 1× | egg-herbie |
| 722× | unswap-sqr |
| 668× | distribute-lft-in |
| 638× | associate-+l+ |
| 618× | distribute-rgt-in |
| 556× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 2072 |
| 1 | 498 | 1920 |
| 2 | 2042 | 1910 |
| 1× | node limit |
| Inputs |
|---|
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 -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 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) |
(+.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))) |
| Outputs |
|---|
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 -1/4 (pow.f64 N 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 (/.f64 1 N) (log.f64 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 (log.f64 N) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))) |
(+.f64 (/.f64 1 N) (-.f64 (log.f64 N) (/.f64 (/.f64 1/2 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 (fma.f64 -1 (neg.f64 (log.f64 N)) (+.f64 (/.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 (/.f64 1/2 N) N))) |
(+.f64 (/.f64 1 N) (+.f64 (log.f64 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)))) |
(+.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 (+.f64 (log.f64 -1) (+.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 (/.f64 1/2 N) N)))) |
(+.f64 (/.f64 1 N) (-.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (log.f64 (/.f64 -1 N)) (log.f64 -1))) (/.f64 (/.f64 1/2 N) N))) |
(*.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 (*.f64 N -1/2)) (-.f64 N (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 (*.f64 N N) (+.f64 -1/2 (*.f64 N 1/3))) (-.f64 N (log.f64 N))) |
(/.f64 1 N) |
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(+.f64 (/.f64 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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N))) |
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) |
(-.f64 (+.f64 (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (/.f64 1/4 (pow.f64 N 4)))) |
(+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (/.f64 -1/4 (pow.f64 N 4)))) |
(/.f64 1 N) |
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(+.f64 (/.f64 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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N))) |
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) |
(-.f64 (+.f64 (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (/.f64 1/4 (pow.f64 N 4)))) |
(+.f64 (/.f64 1 N) (+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) (/.f64 -1/4 (pow.f64 N 4)))) |
(+.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 (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) |
(+.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)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.1b | (-.f64 (log1p.f64 N) (log.f64 N)) |
Compiled 11 to 4 computations (63.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | -inf | (-.f64 (log1p.f64 N) (log.f64 N)) |
| 0.0ms | N | @ | 0 | (-.f64 (log1p.f64 N) (log.f64 N)) |
| 0.0ms | N | @ | 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 2634 to 1333 computations (49.4% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 191 | 8 | 199 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 193 | 8 | 201 |
| Status | Error | Program |
|---|---|---|
| ▶ | 28.0b | (/.f64 1 N) |
| ▶ | 29.4b | (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
| ▶ | 33.9b | (-.f64 N (log.f64 N)) |
| ▶ | 28.8b | (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N))) |
| 29.4b | (+.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))))) | |
| 34.8b | (neg.f64 (log.f64 N)) | |
| 32.2b | (log.f64 (/.f64 (+.f64 N 1) N)) | |
| ▶ | 32.7b | (exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
Compiled 152 to 112 computations (26.3% saved)
Compiled 6 to 4 computations (33.3% saved)
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 | @ | 0 | (-.f64 (/.f64 1 N) (/.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 | @ | inf | (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
| 1× | batch-egg-rewrite |
| 1316× | associate-/l* |
| 1010× | *-commutative |
| 676× | associate-/r/ |
| 504× | associate-/l/ |
| 480× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 206 | 32 |
| 2 | 2953 | 32 |
| 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 (/.f64 1/2 (sqrt.f64 N)) 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 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egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 -1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) (neg.f64 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 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 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2))))))) |
| 1× | egg-herbie |
| 994× | associate-+r+ |
| 836× | associate-+l+ |
| 796× | +-commutative |
| 718× | fma-def |
| 560× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 488 | 9791 |
| 1 | 1444 | 7993 |
| 2 | 6320 | 7993 |
| 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 (/.f64 1/2 (sqrt.f64 N)) 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 (pow.f64 N -2)) -1) |
(*.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 (/.f64 1/2 (sqrt.f64 N)) 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 (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 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1/2 (*.f64 N (cbrt.f64 N)))) |
(*.f64 (/.f64 1/2 (*.f64 N (cbrt.f64 N))) (/.f64 1 (pow.f64 (cbrt.f64 N) 2))) |
(*.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 (/.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 (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2) N) (cbrt.f64 (/.f64 1/2 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 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) |
(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 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) |
(+.f64 (/.f64 1 N) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 1 N) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 1 N) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 1 N) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 (neg.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 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (neg.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 (pow.f64 N -2)))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (neg.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 (pow.f64 N -2))) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (neg.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 (pow.f64 N -2))) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (neg.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 (pow.f64 N -2))) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.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 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.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 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (/.f64 (neg.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)))) (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 2) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (+.f64 (fma.f64 (neg.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 (pow.f64 N -2))) (fma.f64 (neg.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 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1 (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 1 (fma.f64 (neg.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 (pow.f64 N -2))))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) 1)) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))) 1)) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) 1)) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (*.f64 (fma.f64 (neg.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 (pow.f64 N -2))) 1)) |
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 1 N)) |
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (+.f64 (/.f64 1 N) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (+.f64 (/.f64 1 N) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (+.f64 (/.f64 1 N) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (+.f64 (/.f64 1 N) (fma.f64 (neg.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 (pow.f64 N -2))))) |
(+.f64 (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) |
(+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) |
(+.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) |
(+.f64 (fma.f64 (neg.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 (pow.f64 N -2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) |
(+.f64 (-.f64 (/.f64 1 N) (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))) 1) |
(*.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) |
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1) |
(*.f64 (pow.f64 N -1/2) (-.f64 (pow.f64 N -1/2) (/.f64 (/.f64 1/2 (sqrt.f64 N)) N))) |
(*.f64 (pow.f64 N -1/2) (-.f64 (pow.f64 N -1/2) (*.f64 (/.f64 1/2 N) (pow.f64 N -1/2)))) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(*.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 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(*.f64 (pow.f64 N -2) (+.f64 N (*.f64 N (/.f64 -1/2 N)))) |
(*.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (*.f64 (/.f64 1 (*.f64 N (+.f64 N 1/2))) (pow.f64 N 3))) |
(*.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 1 (/.f64 -1/2 N)) (/.f64 1 N)) |
(*.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) (pow.f64 N -2)) |
(*.f64 -1 (+.f64 (/.f64 -1 N) (*.f64 1/2 (pow.f64 N -2)))) |
(*.f64 -1 (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 -1 N))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) (/.f64 1 N)) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)) (pow.f64 N -1/2)) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N))) |
(*.f64 (/.f64 -1 N) (-.f64 -1 (/.f64 -1/2 N))) |
(*.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N))) |
(*.f64 (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N))) |
(*.f64 (*.f64 (/.f64 1 (*.f64 N (+.f64 N 1/2))) (pow.f64 N 3)) (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))) |
(*.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 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 N (/.f64 N (*.f64 N 2)))) (*.f64 N N)) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.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) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (*.f64 N (+.f64 N 1/2))) (pow.f64 N 3)) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 N (*.f64 N (*.f64 N 2)))) (*.f64 N (*.f64 N (*.f64 N 2)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (neg.f64 N) (*.f64 N (/.f64 -1/2 N)))) (neg.f64 (*.f64 N N))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (neg.f64 (*.f64 1/2 N)) (neg.f64 (*.f64 N N)))) (neg.f64 (pow.f64 N 3))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (neg.f64 N) (*.f64 N (*.f64 N -2)))) (neg.f64 (*.f64 N (*.f64 N (*.f64 N 2))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 N (*.f64 (neg.f64 N) (/.f64 -1/2 N)))) (*.f64 N N)) |
(*.f64 (/.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 (*.f64 N N) 3))) (-.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.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 (pow.f64 N -2) (pow.f64 N -2)) (*.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 1 (/.f64 -1/2 N)) (neg.f64 N)) -1) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) 1) (/.f64 1 N)) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) (sqrt.f64 N)) (pow.f64 N -1/2)) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 1) (neg.f64 N)) -1) |
(*.f64 (/.f64 (/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) N) 1) (/.f64 1 N)) |
(*.f64 (/.f64 (/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) N) (sqrt.f64 N)) (pow.f64 N -1/2)) |
(*.f64 (/.f64 (/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N))) |
(*.f64 (/.f64 (/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) N) (neg.f64 N)) -1) |
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N)))) |
(/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (-.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))) |
(/.f64 (-.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (/.f64 (-.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (/.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 (/.f64 -1/2 N)) N))) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) (*.f64 N N)) |
(/.f64 (sqrt.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N)))) (/.f64 (*.f64 N N) (sqrt.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))) (/.f64 (-.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (sqrt.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))))) |
(/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 N (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))))) |
(/.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 N (*.f64 N (/.f64 -1/2 N)))) (cbrt.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))))) (/.f64 (*.f64 N N) (cbrt.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))) (cbrt.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)))) (/.f64 (-.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (cbrt.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (cbrt.f64 (+.f64 1 (/.f64 -1/2 N)))) (/.f64 N (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))))) |
(/.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 1 (/.f64 -1/2 N)) 1) N) |
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)) (sqrt.f64 N)) |
(/.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N)) |
(/.f64 (/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) N) N) |
(/.f64 (+.f64 (*.f64 N N) (*.f64 (*.f64 N (/.f64 -1/2 N)) (/.f64 N (*.f64 N 2)))) (*.f64 (*.f64 N N) (+.f64 N (/.f64 N (*.f64 N 2))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2))) (*.f64 (-.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (*.f64 (pow.f64 N -2) (+.f64 1 (*.f64 (pow.f64 N -2) 1/4))))) |
(/.f64 (+.f64 1 (*.f64 -1/4 (pow.f64 N -2))) (+.f64 N (/.f64 N (*.f64 N 2)))) |
(/.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 (pow.f64 N -3) (pow.f64 (*.f64 -1/2 (pow.f64 N -2)) 3)) (-.f64 (*.f64 (pow.f64 N -2) (+.f64 1 (*.f64 (pow.f64 N -2) 1/4))) (neg.f64 (/.f64 1/2 (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 N (/.f64 N (*.f64 N 2))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2) 3)) (*.f64 (-.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) (+.f64 (*.f64 (pow.f64 N -2) (pow.f64 N -2)) (*.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2) (*.f64 (pow.f64 N -2) (+.f64 1 (*.f64 (pow.f64 N -2) 1/4))))))) |
(/.f64 (-.f64 1 (pow.f64 (/.f64 1/2 N) 3)) (*.f64 N (+.f64 1 (*.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/2 N) 1))))) |
(/.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 (pow.f64 N -3) (/.f64 1/8 (pow.f64 (*.f64 N N) 3))))))) |
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3)) |
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2)))) |
(/.f64 (+.f64 (neg.f64 (*.f64 N N)) (*.f64 1/2 N)) (neg.f64 (pow.f64 N 3))) |
(/.f64 (+.f64 (*.f64 N (*.f64 N -2)) N) (neg.f64 (*.f64 N (*.f64 N (*.f64 N 2))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 -1 N))) |
(/.f64 (+.f64 (neg.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 -1 (/.f64 -1/2 N)) (neg.f64 N)) |
(/.f64 (+.f64 (neg.f64 N) (/.f64 N (*.f64 N 2))) (neg.f64 (*.f64 N N))) |
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 N))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 -1 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 -1/2 N))) (neg.f64 (*.f64 N N)))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(exp.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) 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 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2))) |
| Outputs |
|---|
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(/.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 (+.f64 1 (/.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 (+.f64 1 (/.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 (+.f64 1 (/.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 (/.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 (+.f64 1 (/.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 (+.f64 1 (/.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 (/.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 (+.f64 1 (/.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 (+.f64 1 (/.f64 -1/2 N)) N) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.f64 1/2 (pow.f64 N -2)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 (/.f64 1/2 N) (/.f64 1 N)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.f64 (*.f64 1/2 (pow.f64 N -2)) 1) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.f64 1 (*.f64 1/2 (pow.f64 N -2))) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.f64 (/.f64 1 N) (/.f64 1/2 N)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.f64 (pow.f64 N -1/2) (*.f64 (/.f64 1/2 N) (pow.f64 N -1/2))) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.f64 (pow.f64 N -1/2) (/.f64 (/.f64 1/2 (sqrt.f64 N)) N)) |
(*.f64 (/.f64 1/2 (sqrt.f64 N)) (/.f64 (pow.f64 N -1/2) N)) |
(*.f64 (sqrt.f64 (/.f64 1/2 N)) (/.f64 (sqrt.f64 (/.f64 1/2 N)) N)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.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 1/2 (*.f64 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 1/2 (pow.f64 N -2)) |
(*.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 1/2 (pow.f64 N -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 N)) 2) (/.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (*.f64 1/2 (pow.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 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.f64 (pow.f64 N -2) 1/2) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.f64 (*.f64 -1/2 (pow.f64 N -2)) -1) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.f64 (/.f64 -1/2 N) (/.f64 -1 N)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.f64 (*.f64 (/.f64 1/2 N) (pow.f64 N -1/2)) (pow.f64 N -1/2)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.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 1/2 (*.f64 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 1/2 (pow.f64 N -2)) |
(*.f64 (/.f64 (/.f64 1/2 (sqrt.f64 N)) N) (pow.f64 N -1/2)) |
(*.f64 (/.f64 1/2 (sqrt.f64 N)) (/.f64 (pow.f64 N -1/2) N)) |
(*.f64 (/.f64 (/.f64 1/2 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N))) |
(/.f64 (*.f64 (/.f64 1/2 N) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 (/.f64 1/2 (*.f64 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 1/2 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (*.f64 N (cbrt.f64 N)))) |
(/.f64 (*.f64 (/.f64 1/2 N) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 (/.f64 1/2 (*.f64 N (cbrt.f64 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) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 (/.f64 1/2 (*.f64 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 (/.f64 1/2 N) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 (/.f64 1/2 (*.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2)) |
(*.f64 (/.f64 -1 N) (/.f64 -1/2 N)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.f64 (/.f64 (pow.f64 N -1/2) N) (/.f64 1/2 (sqrt.f64 N))) |
(*.f64 (/.f64 1/2 (sqrt.f64 N)) (/.f64 (pow.f64 N -1/2) N)) |
(*.f64 (/.f64 1 (*.f64 N (cbrt.f64 N))) (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2))) |
(/.f64 (*.f64 (/.f64 1/2 N) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 (/.f64 1/2 (*.f64 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 1/2 (pow.f64 N -2)) |
(*.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 (/.f64 1/2 N) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 (/.f64 1/2 (*.f64 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 (/.f64 1/2 N) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 (/.f64 1/2 (*.f64 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)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 1/2 N)) N) (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2) 1)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.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 1/2 (*.f64 N (sqrt.f64 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) (sqrt.f64 N)) (/.f64 (cbrt.f64 (/.f64 1/2 N)) (sqrt.f64 N))) |
(/.f64 (/.f64 1/2 (*.f64 N (sqrt.f64 N))) (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 (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 N)) 2) (/.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))) |
(*.f64 (/.f64 (/.f64 1 N) 1) (/.f64 1/2 N)) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.f64 (/.f64 (/.f64 1 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1/2 (cbrt.f64 N))) |
(/.f64 (*.f64 (/.f64 1/2 N) (/.f64 1 (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 (/.f64 1/2 (*.f64 N (cbrt.f64 N))) (pow.f64 (cbrt.f64 N) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2) N) (cbrt.f64 (/.f64 1/2 N))) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(*.f64 (/.f64 (/.f64 1 N) (neg.f64 N)) -1/2) |
(*.f64 -1/2 (/.f64 1 (*.f64 N (neg.f64 N)))) |
(/.f64 -1/2 (*.f64 N (neg.f64 N))) |
(*.f64 (/.f64 1 (/.f64 N (pow.f64 (cbrt.f64 (/.f64 1/2 N)) 2))) (cbrt.f64 (/.f64 1/2 N))) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(pow.f64 (*.f64 N (*.f64 N 2)) -1) |
(/.f64 1 (*.f64 N (*.f64 N 2))) |
(/.f64 N (*.f64 (pow.f64 N 3) 2)) |
(pow.f64 (/.f64 1/8 (pow.f64 (*.f64 N N) 3)) 1/3) |
(cbrt.f64 (/.f64 1/8 (pow.f64 (*.f64 N N) 3))) |
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6))) |
(neg.f64 (*.f64 -1/2 (pow.f64 N -2))) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(sqrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) |
(sqrt.f64 (*.f64 (pow.f64 N -4) 1/4)) |
(log.f64 (exp.f64 (*.f64 1/2 (pow.f64 N -2)))) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(cbrt.f64 (/.f64 1/8 (pow.f64 (*.f64 N N) 3))) |
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6))) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2)))) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))) |
(/.f64 1/2 (*.f64 N N)) |
(*.f64 1/2 (pow.f64 N -2)) |
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(+.f64 (/.f64 1 N) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 1 N) (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 (/.f64 (/.f64 -1/2 N) N) 0) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) |
(+.f64 (/.f64 1 N) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 1 N) (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 (/.f64 (/.f64 -1/2 N) N) 0) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) |
(+.f64 (/.f64 1 N) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (/.f64 1 N) (+.f64 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)) (*.f64 (/.f64 (/.f64 -1/2 N) N) 0))) |
(+.f64 (+.f64 (/.f64 1 N) (*.f64 (/.f64 (/.f64 -1/2 N) N) 0)) (neg.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2))) |
(+.f64 (/.f64 1 N) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 (neg.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 (pow.f64 N -2))))) |
(+.f64 (/.f64 1 N) (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 (/.f64 (/.f64 -1/2 N) N) 0) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (/.f64 1 N) (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 (/.f64 (/.f64 -1/2 N) N) 0) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (/.f64 1 N) (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 (/.f64 (/.f64 -1/2 N) N) 0) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))) |
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(/.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 (pow.f64 N -3) (/.f64 1/8 (pow.f64 (*.f64 N N) 3))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 N -3) 3) (/.f64 1/512 (pow.f64 (pow.f64 (*.f64 N N) 3) 3))) (+.f64 (pow.f64 N -2) (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 1 (/.f64 1/2 N))))) (+.f64 (pow.f64 N -6) (*.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 (+.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 1 (/.f64 1/2 N)) (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 N (-.f64 N 1/2)) (pow.f64 N 3)) |
(/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) |
(*.f64 (/.f64 N (pow.f64 N 3)) (+.f64 N -1/2)) |
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2)))) |
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 (pow.f64 N 3) 2)) |
(/.f64 (+.f64 (neg.f64 (*.f64 N N)) (*.f64 1/2 N)) (neg.f64 (pow.f64 N 3))) |
(/.f64 (+.f64 (*.f64 N (neg.f64 N)) (*.f64 1/2 N)) (neg.f64 (pow.f64 N 3))) |
(/.f64 (*.f64 N (-.f64 1/2 N)) (neg.f64 (pow.f64 N 3))) |
(/.f64 (+.f64 (*.f64 N (*.f64 N -2)) N) (neg.f64 (*.f64 N (*.f64 N (*.f64 N 2))))) |
(/.f64 (fma.f64 N (*.f64 N -2) N) (*.f64 (neg.f64 N) (*.f64 N (*.f64 N 2)))) |
(/.f64 (fma.f64 N (*.f64 N -2) N) (neg.f64 (*.f64 (pow.f64 N 3) 2))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 N -2)) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 -1 N))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2) (neg.f64 (pow.f64 N -2))) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 -1 N))) |
(/.f64 (-.f64 (*.f64 (pow.f64 N -4) 1/4) (pow.f64 N -2)) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 -1 N))) |
(/.f64 (+.f64 (neg.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 (/.f64 1/8 (pow.f64 (*.f64 N N) 3)) (neg.f64 (pow.f64 N -3))) (neg.f64 (+.f64 (pow.f64 N -2) (*.f64 (/.f64 1/2 (pow.f64 N 3)) (+.f64 1 (/.f64 1/2 N)))))) |
(/.f64 (-.f64 (/.f64 1/8 (pow.f64 N 6)) (pow.f64 N -3)) (-.f64 (*.f64 (+.f64 1 (/.f64 1/2 N)) (/.f64 -1/2 (pow.f64 N 3))) (pow.f64 N -2))) |
(/.f64 (-.f64 -1 (/.f64 -1/2 N)) (neg.f64 N)) |
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1/2 N))) (neg.f64 N)) |
(/.f64 (+.f64 (neg.f64 N) (/.f64 N (*.f64 N 2))) (neg.f64 (*.f64 N N))) |
(/.f64 (+.f64 (neg.f64 N) (/.f64 N (*.f64 N 2))) (*.f64 N (neg.f64 N))) |
(/.f64 (-.f64 1/2 N) (*.f64 N (neg.f64 N))) |
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 N))) |
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1/2 N))) (neg.f64 N)) |
(/.f64 (-.f64 -1 (/.f64 -1/2 N)) (neg.f64 N)) |
(neg.f64 (/.f64 (-.f64 (pow.f64 N -2) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (/.f64 -1 N)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2) (neg.f64 (pow.f64 N -2))) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 -1 N))) |
(/.f64 (-.f64 (*.f64 (pow.f64 N -4) 1/4) (pow.f64 N -2)) (fma.f64 -1/2 (pow.f64 N -2) (/.f64 -1 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)))))) |
(/.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 1 (/.f64 1/2 N)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (/.f64 -1/8 (pow.f64 N 6)))) (-.f64 (*.f64 (+.f64 1 (/.f64 1/2 N)) (/.f64 -1/2 (pow.f64 N 3))) (pow.f64 N -2))) |
(neg.f64 (/.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N))) (neg.f64 (*.f64 N N)))) |
(/.f64 (neg.f64 (+.f64 N (*.f64 N (/.f64 -1/2 N)))) (*.f64 N (neg.f64 N))) |
(/.f64 (neg.f64 (fma.f64 N (/.f64 -1/2 N) N)) (*.f64 N (neg.f64 N))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) |
(fabs.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(exp.f64 (log.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) 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 (+.f64 1 (/.f64 -1/2 N)) 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 (+.f64 1 (/.f64 -1/2 N)) N) |
(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)) |
Compiled 8 to 3 computations (62.5% 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 (/.f64 1/2 N) N))) |
| 0.1b | (/.f64 (/.f64 1/2 N) N) | |
| ✓ | 0.3b | (/.f64 1/3 (pow.f64 N 3)) |
| ✓ | 9.8b | (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) |
Compiled 51 to 37 computations (27.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | N | @ | 0 | (/.f64 1/3 (pow.f64 N 3)) |
| 0.0ms | N | @ | 0 | (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) |
| 0.0ms | N | @ | -inf | (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) |
| 0.0ms | N | @ | inf | (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) |
| 0.0ms | N | @ | inf | (/.f64 1/3 (pow.f64 N 3)) |
| 1× | batch-egg-rewrite |
| 1632× | associate-/l* |
| 1144× | associate-/r/ |
| 332× | add-sqr-sqrt |
| 314× | add-cbrt-cube |
| 314× | add-cube-cbrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 87 |
| 1 | 334 | 79 |
| 2 | 4810 | 79 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 1/3 (pow.f64 N 3)) |
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N))) |
| Outputs |
|---|
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2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.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 -1/2 (*.f64 N N))) (/.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 -1/2 (*.f64 N N))) (/.f64 1 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.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 -1/2 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) (/.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 -1/2 (*.f64 N N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) (/.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 -1/2 (*.f64 N N)))))))) |
| 1× | egg-herbie |
| 942× | associate-*r* |
| 806× | associate-/r* |
| 646× | *-commutative |
| 588× | times-frac |
| 574× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 642 | 16920 |
| 1 | 1911 | 15894 |
| 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 (*.f64 1/3 (pow.f64 N -3)) (/.f64 -1/2 (*.f64 N N))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (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 -1/2 (*.f64 N N)) (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 -1/2 (*.f64 N N))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (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 -1/2 (*.f64 N N))) (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 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.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 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.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 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.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 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.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 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 N)) (/.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 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (/.f64 -1/2 (*.f64 N N)) 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 -1/2 (*.f64 N N))) (+.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 -1/2 (*.f64 N N))) (+.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 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 N)) (/.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 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (/.f64 -1/2 (*.f64 N N)) 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 -1/2 (*.f64 N N))) (+.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 -1/2 (*.f64 N N))) (+.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 (/.f64 -1/2 (*.f64 N N)) (*.f64 1/3 (pow.f64 N -3))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (+.f64 (*.f64 1/3 (pow.f64 N -3)) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (+.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 -1/2 (*.f64 N N)) (+.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 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) |
(+.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 -1/2 (*.f64 N N)))) |
(+.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 -1/2 (*.f64 N N)))) |
(+.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 -1/2 (*.f64 N N))) 1) |
(*.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) |
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(/.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 1/3 (/.f64 (pow.f64 N 4) (/.f64 1/2 N))) (/.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 1/3 (/.f64 (pow.f64 N 4) (/.f64 1/2 N))) (/.f64 1/9 (pow.f64 N 6)))))) |
(/.f64 (+.f64 (pow.f64 N 4) (*.f64 N (-.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 3) (/.f64 1/2 N))))) (*.f64 N (pow.f64 N 4))) |
(/.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 1/3 (/.f64 (pow.f64 N 4) (/.f64 1/2 N))) (/.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 1/3 (/.f64 (pow.f64 N 4) (/.f64 1/2 N))) (/.f64 1/9 (pow.f64 N 6)))))) |
(/.f64 (+.f64 (*.f64 -1 (pow.f64 N 4)) (*.f64 (neg.f64 N) (-.f64 (*.f64 1/3 N) (*.f64 (pow.f64 N 3) (/.f64 1/2 N))))) (*.f64 (neg.f64 N) (pow.f64 N 4))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 2))) (neg.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 N -3) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) 2) (-.f64 (pow.f64 N -2) (/.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) N))))) |
(pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)) 1) |
(pow.f64 (hypot.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) (pow.f64 N -1/2)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N))) 3) |
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)) 2)) |
(log.f64 (exp.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N))))) |
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)))) |
(exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)))) |
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)) |
(fma.f64 1 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) |
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) (/.f64 1 N)) |
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) (/.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 -1/2 (*.f64 N 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)))) |
(-.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 1/3 (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 (*.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 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 (/.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 (/.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 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 (/.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 (/.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 -1/2 (*.f64 N N))) |
(fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/2 (*.f64 N N))) (*.f64 1/2 (pow.f64 N -2))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (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 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 (/.f64 (neg.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 -1/2 (*.f64 N N)) (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 -1/2 (*.f64 N N)) (fma.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 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 -1/2 (*.f64 N N))) (*.f64 1/2 (pow.f64 N -2))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (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 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 (/.f64 (neg.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 -1/2 (*.f64 N N))) (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 -1/2 (*.f64 N N)) (fma.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 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (*.f64 2 (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (+.f64 (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/2 (*.f64 N N))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.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 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))) (+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2)))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.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 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (/.f64 -1 N) (/.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 (/.f64 -1/2 (*.f64 N N)) (+.f64 (fma.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)))) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (+.f64 (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/2 (*.f64 N N))) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (+.f64 (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (*.f64 2 (fma.f64 (/.f64 -1/2 (*.f64 N N)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
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(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) |
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)) 3) 1/3) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) |
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)) 2)) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) 2)) |
(fabs.f64 (+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)))) |
(log.f64 (exp.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) |
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)) 3)) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) |
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) |
(exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N))) 1)) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) |
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) |
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N))) (/.f64 1 N)) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) |
(fma.f64 1 (/.f64 1 N) (fma.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 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) |
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) (/.f64 1 N)) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) |
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (fma.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 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) |
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (*.f64 N N)))) (/.f64 1 N)) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) |
(+.f64 (/.f64 -1/2 (*.f64 N N)) (fma.f64 1/3 (pow.f64 N -3) (/.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 -1/2 (*.f64 N N)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
| ✓ | 0.6b | (exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
| 2.1b | (-.f64 (log1p.f64 N) (log.f64 N)) |
Compiled 24 to 6 computations (75% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | 0 | (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
| 0.0ms | N | @ | inf | (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
| 0.0ms | N | @ | -inf | (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
| 0.0ms | N | @ | 0 | (exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
| 0.0ms | N | @ | inf | (exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
| 1× | batch-egg-rewrite |
| 1666× | add-sqr-sqrt |
| 1650× | *-un-lft-identity |
| 1536× | add-cube-cbrt |
| 1518× | add-cbrt-cube |
| 166× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 34 |
| 1 | 173 | 34 |
| 2 | 2058 | 34 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(log.f64 (-.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 (log1p.f64 N) (log.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 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (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) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (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 (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 pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))) (#(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 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 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.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 -.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)))))) |
| 1× | egg-herbie |
| 1334× | fma-def |
| 788× | distribute-lft-in |
| 726× | distribute-rgt-in |
| 682× | unswap-sqr |
| 542× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 220 | 2917 |
| 1 | 575 | 2683 |
| 2 | 2273 | 2667 |
| 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))))) |
(log.f64 (neg.f64 (log.f64 N))) |
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (*.f64 -1 (/.f64 N (log.f64 N)))) |
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (*.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 N 3) (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))) (*.f64 2 (/.f64 1 (log.f64 N))))))) (+.f64 (log.f64 (neg.f64 (log.f64 N))) (+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (*.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))))) |
(log.f64 (/.f64 1 N)) |
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3))))) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) |
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3))))) |
(+.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 (log1p.f64 N) (log.f64 N)) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (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 (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) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(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)))) |
(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 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(+.f64 0 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1) |
(*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) |
(*.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(*.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) |
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) |
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)) |
(log1p.f64 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)) |
| 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 N (*.f64 N -1/2)) (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 N (*.f64 N -1/2)))) |
(+.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 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))) |
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) |
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) |
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (*.f64 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 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N))) |
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (*.f64 N N)))) |
(-.f64 (+.f64 (/.f64 1 N) (*.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) |
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) |
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4))))) |
(log.f64 (neg.f64 (log.f64 N))) |
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (*.f64 -1 (/.f64 N (log.f64 N)))) |
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (neg.f64 (/.f64 N (log.f64 N)))) |
(-.f64 (log.f64 (neg.f64 (log.f64 N))) (/.f64 N (log.f64 N))) |
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (*.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))))) |
(+.f64 (log.f64 (neg.f64 (log.f64 N))) (fma.f64 -1 (/.f64 N (log.f64 N)) (*.f64 1/2 (*.f64 (*.f64 N N) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))))) |
(+.f64 (-.f64 (log.f64 (neg.f64 (log.f64 N))) (/.f64 N (log.f64 N))) (*.f64 (+.f64 (/.f64 1 (log.f64 N)) (/.f64 -1 (pow.f64 (log.f64 N) 2))) (*.f64 (*.f64 1/2 N) N))) |
(-.f64 (fma.f64 (*.f64 N N) (*.f64 1/2 (+.f64 (/.f64 1 (log.f64 N)) (/.f64 -1 (pow.f64 (log.f64 N) 2)))) (log.f64 (neg.f64 (log.f64 N)))) (/.f64 N (log.f64 N))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 N 3) (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))) (*.f64 2 (/.f64 1 (log.f64 N))))))) (+.f64 (log.f64 (neg.f64 (log.f64 N))) (+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (*.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))))) |
(fma.f64 1/6 (*.f64 (pow.f64 N 3) (-.f64 (/.f64 3 (pow.f64 (log.f64 N) 2)) (+.f64 (/.f64 2 (pow.f64 (log.f64 N) 3)) (/.f64 2 (log.f64 N))))) (+.f64 (log.f64 (neg.f64 (log.f64 N))) (fma.f64 -1 (/.f64 N (log.f64 N)) (*.f64 1/2 (*.f64 (*.f64 N N) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))))) |
(+.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (log.f64 N)) (/.f64 -1 (pow.f64 (log.f64 N) 2))) (*.f64 (*.f64 1/2 N) N)) (/.f64 N (log.f64 N))) (fma.f64 (*.f64 (pow.f64 N 3) 1/6) (-.f64 (/.f64 3 (pow.f64 (log.f64 N) 2)) (+.f64 (/.f64 2 (pow.f64 (log.f64 N) 3)) (/.f64 2 (log.f64 N)))) (log.f64 (neg.f64 (log.f64 N))))) |
(fma.f64 (pow.f64 N 3) (*.f64 1/6 (+.f64 (/.f64 3 (pow.f64 (log.f64 N) 2)) (+.f64 (/.f64 -2 (pow.f64 (log.f64 N) 3)) (/.f64 -2 (log.f64 N))))) (-.f64 (fma.f64 (*.f64 N N) (*.f64 1/2 (+.f64 (/.f64 1 (log.f64 N)) (/.f64 -1 (pow.f64 (log.f64 N) 2)))) (log.f64 (neg.f64 (log.f64 N)))) (/.f64 N (log.f64 N)))) |
(log.f64 (/.f64 1 N)) |
(neg.f64 (log.f64 N)) |
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)) |
(fma.f64 -1 (log.f64 N) (/.f64 -1/2 N)) |
(-.f64 (/.f64 -1/2 N) (log.f64 N)) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (*.f64 1/2 (/.f64 1 N))) |
(+.f64 (/.f64 5/24 (*.f64 N N)) (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N))) |
(+.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) (/.f64 -1/2 N)) |
(+.f64 (-.f64 (/.f64 -1/2 N) (log.f64 N)) (/.f64 5/24 (*.f64 N N))) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3))))) |
(-.f64 (+.f64 (neg.f64 (log.f64 N)) (/.f64 5/24 (*.f64 N N))) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3)))) |
(+.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) (-.f64 (/.f64 -1/2 N) (/.f64 1/8 (pow.f64 N 3)))) |
(+.f64 (/.f64 -1/2 N) (+.f64 (/.f64 -1/8 (pow.f64 N 3)) (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)))) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) |
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (/.f64 1/2 N)) |
(+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (/.f64 -1/2 N))) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (*.f64 1/2 (/.f64 1 N))) |
(+.f64 (/.f64 5/24 (*.f64 N N)) (-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (/.f64 1/2 N))) |
(+.f64 (/.f64 5/24 (*.f64 N N)) (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (/.f64 -1/2 N)))) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3))))) |
(+.f64 (/.f64 5/24 (*.f64 N N)) (-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3))))) |
(+.f64 (/.f64 5/24 (*.f64 N N)) (+.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 N)) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (pow.f64 N 3)))))) |
(+.f64 (/.f64 5/24 (*.f64 N N)) (+.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (/.f64 -1/2 N))) (/.f64 -1/8 (pow.f64 N 3)))) |
(+.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 (log1p.f64 N) (log.f64 N)) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (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 (log.f64 N) (log1p.f64 N))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N))))) (/.f64 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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)) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.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)) |
(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 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(+.f64 0 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log1p.f64 N) (log.f64 N)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (log.f64 (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (pow.f64 (log1p.f64 N) 2)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (log.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))) (log.f64 (+.f64 (log.f64 N) (log1p.f64 N)))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(log1p.f64 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)) |
(log1p.f64 (+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) -1)) |
(log1p.f64 (+.f64 -1 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(log1p.f64 (-.f64 (log1p.f64 N) (+.f64 (log.f64 N) 1))) |
Compiled 24250 to 17316 computations (28.6% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 963 | 5 | 968 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 966 | 10 | 976 |
| Status | Error | Program |
|---|---|---|
| 53.5b | (/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2)))) | |
| ▶ | 29.4b | (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
| ✓ | 28.0b | (/.f64 1 N) |
| ✓ | 33.9b | (-.f64 N (log.f64 N)) |
| 29.4b | (+.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))))) | |
| ▶ | 28.8b | (+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 (/.f64 1/2 N) N))) |
| ▶ | 34.8b | (neg.f64 (log.f64 N)) |
| 32.2b | (log.f64 (/.f64 (+.f64 N 1) N)) | |
| ▶ | 32.6b | (exp.f64 (+.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) (/.f64 -1/2 N))) |
| ▶ | 32.7b | (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) |
Compiled 209 to 150 computations (28.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (/.f64 1/2 N) N) | |
| ✓ | 0.1b | (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) |
| ✓ | 0.3b | (/.f64 1/3 (*.f64 N N)) |
| ✓ | 9.8b | (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 (/.f64 1/2 N) N)) |
Compiled 67 to 40 computations (40.3% 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 (/.f64 1/2 N) N)) |
| 0.0ms | N | @ | inf | (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 (/.f64 1/2 N) N)) |
| 0.0ms | N | @ | -inf | (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 (/.f64 1/2 N) N)) |
| 1× | batch-egg-rewrite |
| 1088× | associate-/r/ |
| 1012× | associate-/l/ |
| 492× | distribute-rgt-in |
| 450× | distribute-lft-in |
| 444× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 69 |
| 1 | 298 | 51 |
| 2 | 4248 | 51 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1/3 N) N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1/3 N) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (/.f64 1/3 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 N) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/3) N) (/.f64 (sqrt.f64 1/3) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1/3 N) N)) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (cbrt.f64 (/.f64 (/.f64 1/3 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (*.f64 N (neg.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 N) (sqrt.f64 N)) (pow.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 N (neg.f64 N))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/3 N) (neg.f64 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1/3 N) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/3) N) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 1/3 N) N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 1/3 N) N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 N (/.f64 1/3 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1/3 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/3 N) N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1/3 N) N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1/3 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 1/3 N) N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 1/3 N) N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1/3 N) N))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 N (/.f64 N (/.f64 1/3 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 N 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (/.f64 N (/.f64 1/3 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 N N) (/.f64 N 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 N) (/.f64 N (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (pow.f64 N 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (*.f64 (neg.f64 N) (*.f64 N (neg.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (*.f64 (*.f64 N (neg.f64 N)) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/3 N) N) N)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 1/3) N) (*.f64 (/.f64 N (sqrt.f64 1/3)) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 N -1/2) (*.f64 (/.f64 N (/.f64 1/3 N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/3) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (*.f64 N (cbrt.f64 (/.f64 N (/.f64 1/3 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 N) (*.f64 N N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (*.f64 N (*.f64 N (neg.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (*.f64 (*.f64 N N) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 (pow.f64 N 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 N) (/.f64 N (/.f64 1/3 N))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 N (/.f64 1/3 N)) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 N (neg.f64 (/.f64 N (/.f64 1/3 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/3) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (*.f64 N (neg.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 1/3 N)) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 N) -1/3) (*.f64 N (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (/.f64 1/3 N) N) -1) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/3 N) (sqrt.f64 N)) (*.f64 N (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1/3 N) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (/.f64 N (/.f64 1/3 N)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (sqrt.f64 N)) (*.f64 (*.f64 N N) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (*.f64 N N) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 1/3 N) N) (sqrt.f64 N)) (sqrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (/.f64 1/3 N) N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 N 4)) N)) (pow.f64 (cbrt.f64 N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/3 N) -1) (*.f64 N (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1/3 N)) (*.f64 N (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (pow.f64 N -2)) (neg.f64 N))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (pow.f64 N 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (pow.f64 (*.f64 N N) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 |
| 1456× | associate-+r+ |
| 1118× | +-commutative |
| 838× | associate-*r* |
| 770× | associate-*l* |
| 766× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 537 | 11357 |
| 1 | 1640 | 10321 |
| 2 | 7532 | 10321 |
| 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 -1/2 (pow.f64 N -2))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.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 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.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 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (fma.f64 (*.f64 -1/2 (pow.f64 N -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 (/.f64 1 N)) (/.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 (/.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 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 -1/2 (pow.f64 N -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 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (*.f64 -1/2 (pow.f64 N -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 -1/2 (pow.f64 N -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 -1/2 (pow.f64 N -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 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.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 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.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 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.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 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 N -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 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (neg.f64 (/.f64 1 N)) (/.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 (*.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 (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)) (+.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 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) (+.f64 (fma.f64 (*.f64 -1/2 (pow.f64 N -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))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 1/3 N) N) (/.f64 N (/.f64 1/2 N))) N) (*.f64 N (/.f64 N (/.f64 1/2 N)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 1/3 N) N) (*.f64 N N)) (*.f64 N 1/2)) (pow.f64 N 3)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 1/3 N) N) N) (*.f64 N (/.f64 1/2 N))) (*.f64 N N)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 1/3 N) N) (neg.f64 N)) (*.f64 N (/.f64 -1/2 N))) (*.f64 N (neg.f64 N))) |
(/.f64 (-.f64 (*.f64 (/.f64 1/3 N) (/.f64 N (/.f64 1/2 N))) (*.f64 N N)) (*.f64 (*.f64 N N) (/.f64 N (/.f64 1/2 N)))) |
(/.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) (neg.f64 N)) (*.f64 (*.f64 N N) (/.f64 -1/2 N))) (*.f64 (*.f64 N 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)) (pow.f64 (*.f64 1/2 (pow.f64 N -2)) 3))) (neg.f64 (+.f64 (/.f64 1/4 (pow.f64 N 4)) (+.f64 (/.f64 1/6 (*.f64 (pow.f64 N 3) (*.f64 N N))) (/.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 -1/2 (pow.f64 N -2))) |
(fma.f64 (/.f64 1 N) (/.f64 (/.f64 1/3 N) N) (*.f64 -1/2 (pow.f64 N -2))) |
(fma.f64 (/.f64 (/.f64 1/3 N) N) (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) |
(fma.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) (*.f64 -1/2 (pow.f64 N -2))) |
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (*.f64 -1/2 (pow.f64 N -2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1/3 N) N))) 1) |
(*.f64 1 (/.f64 (/.f64 1/3 N) N)) |
(*.f64 (/.f64 1 N) (/.f64 1/3 N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(*.f64 (/.f64 (/.f64 1/3 N) N) 1) |
(*.f64 (/.f64 (sqrt.f64 1/3) N) (/.f64 (sqrt.f64 1/3) N)) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/3 N) N)) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) |
(*.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (cbrt.f64 (/.f64 (/.f64 1/3 N) N))) |
(*.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 (/.f64 1/3 N) (sqrt.f64 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 (/.f64 1/3 N) N) 1) |
(pow.f64 (/.f64 (sqrt.f64 1/3) N) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1/3 N) N)) 3) |
(pow.f64 (pow.f64 (/.f64 (/.f64 1/3 N) N) 3) 1/3) |
(pow.f64 (/.f64 N (/.f64 1/3 N)) -1) |
(sqrt.f64 (/.f64 1/9 (pow.f64 N 4))) |
(log.f64 (exp.f64 (/.f64 (/.f64 1/3 N) N))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/3 N) N)))) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1/3 N) N) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1/3 N) N))) |
(exp.f64 (log.f64 (/.f64 (/.f64 1/3 N) N))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 1/3 N) N)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1/3 N) N))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3)))) 1) |
(/.f64 1 (*.f64 N (/.f64 N (/.f64 1/3 N)))) |
(/.f64 1 (/.f64 (pow.f64 N 3) 1/3)) |
(/.f64 1 (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (/.f64 N (/.f64 1/3 N))))) |
(/.f64 1 (*.f64 (*.f64 N N) (/.f64 N 1/3))) |
(/.f64 (/.f64 1 N) (/.f64 N (/.f64 1/3 N))) |
(/.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 (/.f64 (/.f64 1/3 N) N) 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 1/3 N)) (sqrt.f64 N))) |
(/.f64 (sqrt.f64 1/3) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) N)) |
(/.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (*.f64 N (cbrt.f64 (/.f64 N (/.f64 1/3 N))))) |
(/.f64 (/.f64 1/3 N) (*.f64 N N)) |
(/.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 (*.f64 (neg.f64 N) (/.f64 N (/.f64 1/3 N)))) |
(/.f64 -1 (*.f64 (/.f64 N (/.f64 1/3 N)) (neg.f64 N))) |
(/.f64 -1 (*.f64 N (neg.f64 (/.f64 N (/.f64 1/3 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 (/.f64 1/3 N)) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 N))) |
(/.f64 (*.f64 (/.f64 1 N) -1/3) (*.f64 N (neg.f64 N))) |
(/.f64 (*.f64 (/.f64 (/.f64 1/3 N) N) -1) (neg.f64 N)) |
(/.f64 (/.f64 1/3 (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) |
(/.f64 (/.f64 (/.f64 1/3 N) (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 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (/.f64 N (/.f64 1/3 N)) (cbrt.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 (/.f64 (/.f64 1/3 N) N) (sqrt.f64 N)) (sqrt.f64 N)) |
(/.f64 (/.f64 (/.f64 (/.f64 1/3 N) N) (pow.f64 (cbrt.f64 N) 2)) (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)) |
(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 (/.f64 1/3 N) -1/2) (*.f64 N N)) |
(/.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)))) |
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) |
(/.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)))) |
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) |
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.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 (/.f64 1/3 N) -1/2) (*.f64 N N)) |
(/.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)))) |
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) |
(/.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)))) |
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) |
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.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 (/.f64 1/3 N) -1/2) (*.f64 N N)) |
(/.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)))) |
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) |
(/.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)))) |
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)) |
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(/.f64 1/3 (pow.f64 N 2)) |
(/.f64 1/3 (*.f64 N N)) |
(*.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 -1/2 (pow.f64 N -2))) |
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (fma.f64 (neg.f64 (/.f64 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2)))) |
(fma.f64 -1/2 (pow.f64 N -2) (+.f64 (/.f64 -1/2 (*.f64 N N)) (*.f64 (pow.f64 N -2) (+.f64 1/2 (/.f64 1/3 N))))) |
(fma.f64 -1/2 (pow.f64 N -2) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (*.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 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (fma.f64 (/.f64 (neg.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 -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 -1/2 (pow.f64 N -2) (/.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)))) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (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 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) (fma.f64 (*.f64 -1/2 (pow.f64 N -2)) 1 (*.f64 1/2 (pow.f64 N -2)))) |
(fma.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)) (+.f64 (*.f64 -1/2 (pow.f64 N -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 1 N)) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2)))) |
(+.f64 (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) (fma.f64 (/.f64 -1 N) (/.f64 1/2 N) (*.f64 1/2 (pow.f64 N -2)))) |
(fma.f64 -1/2 (pow.f64 N -2) (+.f64 (/.f64 -1/2 (*.f64 N N)) (*.f64 (pow.f64 N -2) (+.f64 1/2 (/.f64 1/3 N))))) |
(fma.f64 -1/2 (pow.f64 N -2) (+.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (*.f64 N N)))) |
(+.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 (fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 1/2)) N) (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2)))) |
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(sqrt.f64 (pow.f64 (*.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2)) 2)) |
(fabs.f64 (*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N)))) |
(log.f64 (exp.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)))) |
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2))))) |
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) |
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)) 3)) |
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) |
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)))) |
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)))) |
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2))) 1)) |
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) |
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 N -2) (-.f64 (/.f64 1/3 N) 1/2)))) |
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) |
(fma.f64 1 (/.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N -2))) |
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) |
(fma.f64 (/.f64 1 N) (/.f64 (/.f64 1/3 N) N) (*.f64 -1/2 (pow.f64 N -2))) |
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) |
(fma.f64 (/.f64 (/.f64 1/3 N) N) (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2))) |
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) |
(fma.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) (*.f64 -1/2 (pow.f64 N -2))) |
(+.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) 2) (*.f64 -1/2 (pow.f64 N -2))) |
(+.f64 (*.f64 -1/2 (pow.f64 N -2)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 1/3 N)) N) 2)) |
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (*.f64 -1/2 (pow.f64 N -2))) |
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1/3 (pow.f64 N 3))) |
(*.f64 (pow.f64 N -2) (+.f64 -1/2 (/.f64 1/3 N))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 1/3 N) N))) 1) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(*.f64 1 (/.f64 (/.f64 1/3 N) N)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(*.f64 (/.f64 1 N) (/.f64 1/3 N)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(*.f64 1/3 (pow.f64 N -2)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 (/.f64 (/.f64 1/3 N) N) 1) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(*.f64 (/.f64 (sqrt.f64 1/3) N) (/.f64 (sqrt.f64 1/3) N)) |
(pow.f64 (/.f64 (sqrt.f64 1/3) N) 2) |
(*.f64 (cbrt.f64 (/.f64 (/.f64 1/3 N) N)) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) |
(*.f64 (cbrt.f64 (/.f64 1/3 (*.f64 N N))) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) |
(*.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 (/.f64 1/3 N) N))) |
(*.f64 (cbrt.f64 (/.f64 1/3 (*.f64 N N))) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) |
(*.f64 (cbrt.f64 (*.f64 1/3 (pow.f64 N -2))) (cbrt.f64 (/.f64 1/9 (pow.f64 N 4)))) |
(*.f64 (/.f64 1/3 N) (/.f64 1 N)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(*.f64 (pow.f64 N -2) 1/3) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(*.f64 -1/3 (/.f64 1 (*.f64 N (neg.f64 N)))) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(*.f64 (/.f64 (/.f64 1/3 N) (sqrt.f64 N)) (pow.f64 N -1/2)) |
(*.f64 (pow.f64 N -1/2) (/.f64 1/3 (*.f64 N (sqrt.f64 N)))) |
(*.f64 (pow.f64 N -1/2) (/.f64 (/.f64 1/3 N) (sqrt.f64 N))) |
(*.f64 (/.f64 (/.f64 1/3 N) (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N))) |
(*.f64 (/.f64 1 (cbrt.f64 N)) (/.f64 1/3 (*.f64 N (pow.f64 (cbrt.f64 N) 2)))) |
(/.f64 (/.f64 (/.f64 1/3 N) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 4))) (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2))) |
(/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (pow.f64 N 4))) |
(*.f64 (/.f64 1 (*.f64 N (neg.f64 N))) -1/3) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(*.f64 (/.f64 (/.f64 1/3 N) (neg.f64 N)) -1) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(pow.f64 (/.f64 (/.f64 1/3 N) N) 1) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(pow.f64 (/.f64 (sqrt.f64 1/3) N) 2) |
(pow.f64 (cbrt.f64 (/.f64 (/.f64 1/3 N) N)) 3) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 1/3 N) N) 3) 1/3) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(pow.f64 (/.f64 N (/.f64 1/3 N)) -1) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(sqrt.f64 (/.f64 1/9 (pow.f64 N 4))) |
(log.f64 (exp.f64 (/.f64 (/.f64 1/3 N) N))) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1/3 N) N)))) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(cbrt.f64 (pow.f64 (/.f64 (/.f64 1/3 N) N) 3)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 1/3 N) N))) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(exp.f64 (log.f64 (/.f64 (/.f64 1/3 N) N))) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 1/3 N) N)) 1)) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(log1p.f64 (expm1.f64 (/.f64 (/.f64 1/3 N) N))) |
(/.f64 1/3 (*.f64 N N)) |
(*.f64 1/3 (pow.f64 N -2)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (pow.f64 N 3)))) 1) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1 (*.f64 N (/.f64 N (/.f64 1/3 N)))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1 (/.f64 (pow.f64 N 3) 1/3)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1 (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) (sqrt.f64 (/.f64 N (/.f64 1/3 N))))) |
(/.f64 1 (*.f64 (/.f64 N (sqrt.f64 1/3)) (*.f64 N (sqrt.f64 (*.f64 (/.f64 N 1/3) N))))) |
(/.f64 (*.f64 (/.f64 1 (*.f64 N N)) (sqrt.f64 1/3)) (sqrt.f64 (*.f64 N (/.f64 N 1/3)))) |
(/.f64 1 (*.f64 (*.f64 N N) (/.f64 N 1/3))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (/.f64 1 N) (/.f64 N (/.f64 1/3 N))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1/3 (*.f64 (neg.f64 N) (*.f64 N (neg.f64 N)))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 1/3 (*.f64 (*.f64 N (neg.f64 N)) (neg.f64 N))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (/.f64 (/.f64 1/3 N) N) N) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (/.f64 (sqrt.f64 1/3) N) (*.f64 (/.f64 N (sqrt.f64 1/3)) N)) |
(/.f64 (sqrt.f64 1/3) (*.f64 N (*.f64 N (/.f64 N (sqrt.f64 1/3))))) |
(/.f64 (pow.f64 (/.f64 (sqrt.f64 1/3) N) 2) N) |
(/.f64 (pow.f64 N -1/2) (*.f64 (/.f64 N (/.f64 1/3 N)) (sqrt.f64 N))) |
(/.f64 (pow.f64 N -1/2) (*.f64 (sqrt.f64 N) (*.f64 (/.f64 N 1/3) N))) |
(*.f64 (/.f64 (pow.f64 N -1/2) (*.f64 N (sqrt.f64 N))) (/.f64 1/3 N)) |
(/.f64 (sqrt.f64 1/3) (*.f64 (*.f64 (/.f64 N (sqrt.f64 1/3)) N) N)) |
(/.f64 (sqrt.f64 1/3) (*.f64 N (*.f64 N (/.f64 N (sqrt.f64 1/3))))) |
(/.f64 (pow.f64 (/.f64 (sqrt.f64 1/3) N) 2) N) |
(/.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (*.f64 N (cbrt.f64 (/.f64 N (/.f64 1/3 N))))) |
(/.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (*.f64 N (cbrt.f64 (*.f64 (/.f64 N 1/3) N)))) |
(/.f64 (cbrt.f64 (/.f64 1/9 (pow.f64 N 4))) (*.f64 N (cbrt.f64 (*.f64 N (/.f64 N 1/3))))) |
(/.f64 (/.f64 1/3 N) (*.f64 N N)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 -1/3 (*.f64 N (*.f64 N (neg.f64 N)))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 -1/3 (*.f64 (*.f64 N N) (neg.f64 N))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 -1/3 (neg.f64 (pow.f64 N 3))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 -1 (*.f64 (neg.f64 N) (/.f64 N (/.f64 1/3 N)))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 -1 (*.f64 (/.f64 N (/.f64 1/3 N)) (neg.f64 N))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 -1 (*.f64 N (neg.f64 (/.f64 N (/.f64 1/3 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 (/.f64 N (sqrt.f64 1/3))) (sqrt.f64 (*.f64 N (neg.f64 N))))) |
(/.f64 (sqrt.f64 -1/3) (*.f64 (/.f64 (*.f64 N N) (sqrt.f64 1/3)) (sqrt.f64 (*.f64 N (neg.f64 N))))) |
(/.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 (*.f64 (/.f64 1 N) -1/3) (*.f64 N (neg.f64 N))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (*.f64 (/.f64 (/.f64 1/3 N) N) -1) (neg.f64 N)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (/.f64 1/3 (cbrt.f64 (pow.f64 N 4))) (*.f64 N (pow.f64 (cbrt.f64 N) 2))) |
(/.f64 1/3 (*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N (cbrt.f64 (pow.f64 N 4))))) |
(/.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 N 4)) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))) |
(/.f64 (/.f64 (/.f64 1/3 N) (sqrt.f64 N)) (*.f64 N (sqrt.f64 N))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (/.f64 (/.f64 1/3 N) (pow.f64 (cbrt.f64 N) 2)) (*.f64 N (cbrt.f64 N))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (/.f64 N (/.f64 1/3 N)) (cbrt.f64 N))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (/.f64 1/3 (sqrt.f64 N)) (*.f64 (*.f64 N N) (sqrt.f64 N))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (*.f64 (*.f64 N N) (cbrt.f64 N))) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (/.f64 (/.f64 (/.f64 1/3 N) N) (sqrt.f64 N)) (sqrt.f64 N)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (/.f64 (/.f64 (/.f64 1/3 N) N) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 N)) |
(/.f64 1/3 (pow.f64 N 3)) |
(/.f64 (/.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 N 4)) N)) (pow.f64 (cbrt.f64 N) 2)) |
(/.f64 1/3 (*.f64 (pow.f64 (cbrt.f64 N) 2) (*.f64 N (cbrt.f64 (pow.f64 N 4))))) |
(/.f64 1/3 (*.f64 (cbrt.f64 (pow.f64 N 4)) (*.f64 N (pow.f64 (cbrt.f64 N) 2)))) |
(/.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)) |
(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) |
(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 |
|---|---|---|
| ✓ | 0.1b | (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
Compiled 19 to 14 computations (26.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | -inf | (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
| 0.0ms | N | @ | 0 | (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
| 0.0ms | N | @ | inf | (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
| 1× | batch-egg-rewrite |
| 1844× | add-sqr-sqrt |
| 1816× | *-un-lft-identity |
| 1710× | add-cube-cbrt |
| 1694× | add-cbrt-cube |
| 164× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 174 | 19 |
| 2 | 2265 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 (/.f64 -1/2 N))) (/.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))))))) |
| 1× | egg-herbie |
| 1152× | associate-+r+ |
| 1098× | associate-+l+ |
| 772× | fma-def |
| 704× | *-commutative |
| 516× | associate-*r/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 1094 |
| 1 | 230 | 1086 |
| 2 | 877 | 858 |
| 3 | 3454 | 858 |
| 4 | 6606 | 858 |
| 1× | node limit |
| Inputs |
|---|
(/.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 (+.f64 1 (/.f64 -1/2 N)) N))) 1) |
(*.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) |
(*.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1 N)) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N))) |
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N))) |
(*.f64 (+.f64 -1 (neg.f64 (/.f64 -1/2 N))) (/.f64 1 (neg.f64 N))) |
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) N)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (cbrt.f64 N))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) N)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 N))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3) |
(pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -1) |
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 N))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
| Outputs |
|---|
(/.f64 -1/2 (pow.f64 N 2)) |
(/.f64 -1/2 (*.f64 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 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.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 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.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 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.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 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.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 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.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 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.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 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.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 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.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 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) 1) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 1 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (+.f64 1 (/.f64 -1/2 N)) (/.f64 1 N)) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (/.f64 1 N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 -1/2 N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (+.f64 -1 (neg.f64 (/.f64 -1/2 N))) (/.f64 1 (neg.f64 N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (sqrt.f64 N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) (cbrt.f64 N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) N)) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/2 N))) (cbrt.f64 N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) N)) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) (sqrt.f64 N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -1/2 N))) 2) (pow.f64 (cbrt.f64 N) 2))) |
(pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 1) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 3) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3) 1/3) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(pow.f64 (/.f64 N (+.f64 1 (/.f64 -1/2 N))) -1) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(neg.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) (neg.f64 N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2)) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 3)) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N))) |
(/.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 N))) N) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N)) 1)) |
(exp.f64 (-.f64 (log1p.f64 (/.f64 -1/2 N)) (log.f64 N))) |
(/.f64 (exp.f64 (log1p.f64 (/.f64 -1/2 N))) N) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
Compiled 7 to 3 computations (57.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) |
| ✓ | 0.0b | (+.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) (/.f64 -1/2 N)) |
| ✓ | 0.2b | (/.f64 5/24 (*.f64 N N)) |
| ✓ | 3.1b | (exp.f64 (+.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) (/.f64 -1/2 N))) |
Compiled 50 to 25 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | N | @ | 0 | (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) |
| 3.0ms | N | @ | inf | (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) |
| 2.0ms | N | @ | -inf | (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) |
| 1.0ms | N | @ | 0 | (/.f64 5/24 (*.f64 N N)) |
| 1.0ms | N | @ | inf | (exp.f64 (+.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) (/.f64 -1/2 N))) |
| 1× | batch-egg-rewrite |
| 1304× | associate-/r* |
| 1138× | distribute-lft-in |
| 576× | associate-/l* |
| 448× | associate-+l+ |
| 408× | associate-/r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 110 |
| 1 | 293 | 110 |
| 2 | 4107 | 110 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) (/.f64 -1/2 N))) |
(/.f64 5/24 (*.f64 N N)) |
(+.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) (/.f64 -1/2 N)) |
(-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 5/24 (pow.f64 N -2) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 5/24 (pow.f64 N -2)) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 5/24) N) (/.f64 (sqrt.f64 5/24) N) (neg.f64 (log.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 25/576 (pow.f64 N 4))) (cbrt.f64 (*.f64 5/24 (pow.f64 N -2))) (neg.f64 (log.f64 N))))))) |
| 1× | egg-herbie |
| 946× | associate-*r* |
| 760× | associate-*l* |
| 664× | +-commutative |
| 660× | *-commutative |
| 590× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 753 | 21275 |
| 1 | 2227 | 20849 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N))))) |
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N))))) |
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N))))) |
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N))))) |
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) |
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) N))) |
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) N)) (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (pow.f64 N 2))))) |
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) N)) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (pow.f64 N 3))) (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (pow.f64 N 2)))))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) |
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) N))) |
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 2))) (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) N)))) |
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 2))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) N)) (*.f64 -1/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)))))) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (pow.f64 N 2)) |
(-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N))) |
(log.f64 (/.f64 1 N)) |
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (*.f64 1/2 (/.f64 1 N))) |
(*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) |
(-.f64 (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (*.f64 1/2 (/.f64 1 N))) |
(/.f64 5/24 (pow.f64 N 2)) |
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) |
(log.f64 (/.f64 1 N)) |
(+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) |
(+.f64 (log.f64 (/.f64 1 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) |
(*.f64 -1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))) |
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(*.f64 (/.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)) (+.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3))) (+.f64 (/.f64 25/576 (pow.f64 N 4)) (-.f64 (pow.f64 (log.f64 N) 2) (*.f64 5/24 (*.f64 (pow.f64 N -2) (log.f64 N)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)) (-.f64 (*.f64 (/.f64 25/576 (pow.f64 N 4)) (/.f64 25/576 (pow.f64 N 4))) (*.f64 (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))))) (-.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))) |
(*.f64 (/.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (/.f64 25/576 (pow.f64 N 4)) 3) (pow.f64 (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))) 3))) (+.f64 (*.f64 (/.f64 25/576 (pow.f64 N 4)) (/.f64 25/576 (pow.f64 N 4))) (-.f64 (*.f64 (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) (*.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))))) |
(/.f64 1 (/.f64 1 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)))) |
(/.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))) |
(/.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)) (/.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)) (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)))) |
(/.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)) (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))) |
(/.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) (/.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)))) |
(/.f64 (sqrt.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2))) (/.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)) (sqrt.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3))) (/.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) (sqrt.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2))) (cbrt.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)))) (/.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)) (cbrt.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)))) (/.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) (cbrt.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3))))) |
(/.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (*.f64 5/24 (pow.f64 N -2)) (neg.f64 (log.f64 N)))) |
(/.f64 (-.f64 (*.f64 (/.f64 25/576 (pow.f64 N 4)) (/.f64 25/576 (pow.f64 N 4))) (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 2))) (*.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)) (+.f64 (pow.f64 (log.f64 N) 2) (/.f64 25/576 (pow.f64 N 4))))) |
(/.f64 (-.f64 (*.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3))) (*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log.f64 N) 3))) (*.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) (+.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)))) |
(/.f64 (+.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (/.f64 25/576 (pow.f64 N 4)) (-.f64 (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (*.f64 (*.f64 5/24 (pow.f64 N -2)) (neg.f64 (log.f64 N)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 25/576 (pow.f64 N 4)) 3) (pow.f64 (pow.f64 (log.f64 N) 2) 3)) (*.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)) (+.f64 (*.f64 (/.f64 25/576 (pow.f64 N 4)) (/.f64 25/576 (pow.f64 N 4))) (+.f64 (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) 3) (pow.f64 (pow.f64 (log.f64 N) 3) 3)) (*.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) (+.f64 (*.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log.f64 N) 3)) (*.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2))) (neg.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))))) |
(/.f64 (/.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)) 1) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))) |
(/.f64 (/.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) (sqrt.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) |
(/.f64 (/.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))) (cbrt.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))) (cbrt.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) |
(/.f64 (/.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)) 1) (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))) |
(/.f64 (/.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)) (sqrt.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))))) (sqrt.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))) (cbrt.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))))) (cbrt.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))))) |
(pow.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N))) 3) |
(pow.f64 (pow.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) 2)) |
(log.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N))))) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)))) |
(exp.f64 (log.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)))) |
(fma.f64 5/24 (pow.f64 N -2) (neg.f64 (log.f64 N))) |
(fma.f64 1 (*.f64 5/24 (pow.f64 N -2)) (neg.f64 (log.f64 N))) |
(fma.f64 (/.f64 (sqrt.f64 5/24) N) (/.f64 (sqrt.f64 5/24) N) (neg.f64 (log.f64 N))) |
(fma.f64 (cbrt.f64 (/.f64 25/576 (pow.f64 N 4))) (cbrt.f64 (*.f64 5/24 (pow.f64 N -2))) (neg.f64 (log.f64 N))) |
| Outputs |
|---|
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N))))) |
(exp.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (+.f64 (log.f64 N) (/.f64 1/2 N)))) |
(exp.f64 (+.f64 (/.f64 5/24 (*.f64 N N)) (-.f64 (/.f64 -1/2 N) (log.f64 N)))) |
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N))))) |
(exp.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (+.f64 (log.f64 N) (/.f64 1/2 N)))) |
(exp.f64 (+.f64 (/.f64 5/24 (*.f64 N N)) (-.f64 (/.f64 -1/2 N) (log.f64 N)))) |
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N))))) |
(exp.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (+.f64 (log.f64 N) (/.f64 1/2 N)))) |
(exp.f64 (+.f64 (/.f64 5/24 (*.f64 N N)) (-.f64 (/.f64 -1/2 N) (log.f64 N)))) |
(exp.f64 (-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 1 N))))) |
(exp.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (+.f64 (log.f64 N) (/.f64 1/2 N)))) |
(exp.f64 (+.f64 (/.f64 5/24 (*.f64 N N)) (-.f64 (/.f64 -1/2 N) (log.f64 N)))) |
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) |
(exp.f64 (neg.f64 (log.f64 N))) |
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) N))) |
(+.f64 (exp.f64 (neg.f64 (log.f64 N))) (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (log.f64 N))) N))) |
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) N)) (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (pow.f64 N 2))))) |
(+.f64 (exp.f64 (neg.f64 (log.f64 N))) (fma.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (log.f64 N))) N) (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (log.f64 N))) (*.f64 N N))))) |
(+.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) N)) (+.f64 (*.f64 -1/8 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (pow.f64 N 3))) (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 N))))) (pow.f64 N 2)))))) |
(+.f64 (exp.f64 (neg.f64 (log.f64 N))) (fma.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (log.f64 N))) N) (fma.f64 -1/8 (/.f64 (exp.f64 (neg.f64 (log.f64 N))) (pow.f64 N 3)) (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (log.f64 N))) (*.f64 N N)))))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) |
(exp.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) |
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) N))) |
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) N))) |
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (/.f64 (/.f64 -1/2 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) N)) |
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 2))) (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) N)))) |
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (fma.f64 1/3 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (*.f64 N N)) (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) N)))) |
(+.f64 (/.f64 (/.f64 -1/2 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) N) (+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (/.f64 (/.f64 1/3 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (*.f64 N N)))) |
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (+.f64 (*.f64 1/3 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 2))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) N)) (*.f64 -1/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)))))) |
(+.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (fma.f64 1/3 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (*.f64 N N)) (fma.f64 -1/2 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) N) (*.f64 -1/8 (/.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)))))) |
(+.f64 (/.f64 (/.f64 1/3 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (*.f64 N N)) (+.f64 (+.f64 (/.f64 (/.f64 -1/2 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) N) (/.f64 (/.f64 -1/8 (exp.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (exp.f64 (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))))) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (*.f64 N N)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (*.f64 N N)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (*.f64 N N)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (*.f64 N N)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (*.f64 N N)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (*.f64 N N)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (*.f64 N N)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (*.f64 N N)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (*.f64 N N)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (*.f64 N N)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (*.f64 N N)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (*.f64 N N)) |
(/.f64 5/24 (pow.f64 N 2)) |
(/.f64 5/24 (*.f64 N N)) |
(-.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (/.f64 5/24 (*.f64 N N)) (/.f64 1/2 N)) |
(+.f64 (/.f64 5/24 (*.f64 N N)) (/.f64 -1/2 N)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (fma.f64 -1 (log.f64 N) (/.f64 5/24 (*.f64 N N))) (/.f64 1/2 N)) |
(+.f64 (/.f64 5/24 (*.f64 N N)) (-.f64 (/.f64 -1/2 N) (log.f64 N))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 N)) (*.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 N))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 25/576 (pow.f64 N 4)) 3) (pow.f64 (pow.f64 (log.f64 N) 2) 3)) (*.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)) (+.f64 (*.f64 (/.f64 25/576 (pow.f64 N 4)) (/.f64 25/576 (pow.f64 N 4))) (+.f64 (*.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (log.f64 N) 2)) (*.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)))))) |
(/.f64 (-.f64 (/.f64 15625/191102976 (pow.f64 (pow.f64 N 4) 3)) (pow.f64 (pow.f64 (log.f64 N) 2) 3)) (*.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)) (fma.f64 (/.f64 25/576 (pow.f64 N 4)) (/.f64 25/576 (pow.f64 N 4)) (+.f64 (pow.f64 (log.f64 N) 4) (*.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)))))) |
(/.f64 (/.f64 (-.f64 (/.f64 15625/191102976 (pow.f64 (pow.f64 N 4) 3)) (pow.f64 (log.f64 N) 6)) (+.f64 (/.f64 (/.f64 625/331776 (pow.f64 N 4)) (pow.f64 N 4)) (*.f64 (pow.f64 (log.f64 N) 2) (+.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2))))) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))) |
(/.f64 (-.f64 (pow.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) 3) (pow.f64 (pow.f64 (log.f64 N) 3) 3)) (*.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) (+.f64 (*.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3))) (+.f64 (*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log.f64 N) 3)) (*.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)))))) |
(/.f64 (-.f64 (*.f64 1953125/2641807540224 (pow.f64 (pow.f64 (pow.f64 N -2) 3) 3)) (pow.f64 (pow.f64 (log.f64 N) 3) 3)) (*.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) (+.f64 (*.f64 15625/191102976 (*.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (pow.f64 N -2) 3))) (*.f64 (pow.f64 (log.f64 N) 3) (fma.f64 125/13824 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (log.f64 N) 3)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 1953125/2641807540224 (pow.f64 (pow.f64 (pow.f64 N -2) 3) 3)) (pow.f64 (pow.f64 (log.f64 N) 3) 3)) (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))) (+.f64 (*.f64 (pow.f64 (pow.f64 N -2) 3) (*.f64 (pow.f64 (pow.f64 N -2) 3) 15625/191102976)) (*.f64 (pow.f64 (log.f64 N) 3) (fma.f64 125/13824 (pow.f64 (pow.f64 N -2) 3) (pow.f64 (log.f64 N) 3))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2))) (neg.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3))) (neg.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))))) |
(/.f64 (/.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)) 1) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))) |
(/.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))) |
(/.f64 (/.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)) (sqrt.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) (sqrt.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) |
(/.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)) (*.f64 (sqrt.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))) (sqrt.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))) |
(/.f64 (/.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))) (cbrt.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))) (cbrt.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))) |
(/.f64 (-.f64 (/.f64 25/576 (pow.f64 N 4)) (pow.f64 (log.f64 N) 2)) (*.f64 (cbrt.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))) (*.f64 (cbrt.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))) (cbrt.f64 (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)) 1) (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))) |
(/.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)) (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))) |
(/.f64 (/.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)) (sqrt.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))))) (sqrt.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))))) |
(/.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)) (*.f64 (sqrt.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))) (sqrt.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))))) |
(/.f64 (/.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)) (*.f64 (cbrt.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))) (cbrt.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))))) (cbrt.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))))) |
(/.f64 (/.f64 (-.f64 (*.f64 125/13824 (pow.f64 (pow.f64 N -2) 3)) (pow.f64 (log.f64 N) 3)) (cbrt.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N)))))) (*.f64 (cbrt.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))) (cbrt.f64 (+.f64 (/.f64 25/576 (pow.f64 N 4)) (*.f64 (log.f64 N) (fma.f64 5/24 (pow.f64 N -2) (log.f64 N))))))) |
(pow.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) 1) |
(-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) |
(pow.f64 (sqrt.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N))) 2) |
(-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) |
(pow.f64 (cbrt.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N))) 3) |
(-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) |
(pow.f64 (pow.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) 3) 1/3) |
(-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) |
(sqrt.f64 (pow.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) 2)) |
(log.f64 (/.f64 (pow.f64 (exp.f64 5/24) (pow.f64 N -2)) N)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N))))) |
(-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) |
(cbrt.f64 (pow.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) 3)) |
(-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) |
(expm1.f64 (log1p.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)))) |
(-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) |
(exp.f64 (log.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)))) |
(-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) |
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N))) 1)) |
(-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) |
(log1p.f64 (expm1.f64 (-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)))) |
(-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) |
(fma.f64 5/24 (pow.f64 N -2) (neg.f64 (log.f64 N))) |
(-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) |
(fma.f64 1 (*.f64 5/24 (pow.f64 N -2)) (neg.f64 (log.f64 N))) |
(-.f64 (*.f64 5/24 (pow.f64 N -2)) (log.f64 N)) |
(fma.f64 (/.f64 (sqrt.f64 5/24) N) (/.f64 (sqrt.f64 5/24) N) (neg.f64 (log.f64 N))) |
(+.f64 (pow.f64 (/.f64 (sqrt.f64 5/24) N) 2) (neg.f64 (log.f64 N))) |
(fma.f64 (cbrt.f64 (/.f64 25/576 (pow.f64 N 4))) (cbrt.f64 (*.f64 5/24 (pow.f64 N -2))) (neg.f64 (log.f64 N))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 N 1) N) |
| ✓ | 0.1b | (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))) |
| ✓ | 0.6b | (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) |
| ✓ | 2.1b | (log.f64 (/.f64 (+.f64 N 1) N)) |
Compiled 32 to 22 computations (31.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | N | @ | inf | (log.f64 (/.f64 (+.f64 N 1) N)) |
| 0.0ms | N | @ | 0 | (log.f64 (log.f64 (/.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)) |
| 1× | batch-egg-rewrite |
| 1866× | add-sqr-sqrt |
| 1850× | *-un-lft-identity |
| 1724× | add-cube-cbrt |
| 1704× | add-cbrt-cube |
| 180× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 68 |
| 1 | 191 | 62 |
| 2 | 2324 | 62 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (+.f64 N 1) N)) |
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) |
(log.f64 (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 pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))))) (#(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 log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1)))))) |
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((#(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 |
| 1372× | distribute-lft-in |
| 1300× | distribute-rgt-in |
| 694× | *-commutative |
| 624× | associate-*r/ |
| 590× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 250 | 3614 |
| 1 | 635 | 3466 |
| 2 | 2643 | 3466 |
| 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 (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))))) |
(log.f64 (*.f64 -1 (log.f64 N))) |
(+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (log.f64 (*.f64 -1 (log.f64 N)))) |
(+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (+.f64 (log.f64 (*.f64 -1 (log.f64 N))) (*.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))))) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 N 3) (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))) (*.f64 2 (/.f64 1 (log.f64 N))))))) (+.f64 (*.f64 -1 (/.f64 N (log.f64 N))) (+.f64 (log.f64 (*.f64 -1 (log.f64 N))) (*.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))))) |
(log.f64 (/.f64 1 N)) |
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3))))) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) |
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (*.f64 1/2 (/.f64 1 N))) |
(-.f64 (+.f64 (*.f64 5/24 (/.f64 1 (pow.f64 N 2))) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (+.f64 (*.f64 1/2 (/.f64 1 N)) (*.f64 1/8 (/.f64 1 (pow.f64 N 3))))) |
(/.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) |
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(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)))) |
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1)) |
(+.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) |
(pow.f64 (E.f64) (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) |
(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)))) |
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1)) |
(+.f64 0 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1) |
(*.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) |
(*.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) |
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) |
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)) |
(log1p.f64 (-.f64 (-.f64 (log1p.f64 N) (log.f64 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 N (*.f64 N -1/2)) (log.f64 N))) |
(+.f64 (-.f64 N (log.f64 N)) (*.f64 N (*.f64 N -1/2))) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2))))) |
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N))))) |
(+.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)) (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 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 (/.f64 1/2 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 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 1/2 N) N) (/.f64 1/4 (pow.f64 N 4))))) |
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 (/.f64 -1/2 N) N) (/.f64 1/4 (pow.f64 N 4))))) |
(/.f64 1 N) |
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) |
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(+.f64 (/.f64 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 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 1/2 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 (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 N (*.f64 N -1/2)) (log.f64 N))) |
(+.f64 (-.f64 N (log.f64 N)) (*.f64 N (*.f64 N -1/2))) |
(+.f64 N (+.f64 (*.f64 -1 (log.f64 N)) (+.f64 (*.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2))))) |
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (*.f64 -1/2 (*.f64 N N))))) |
(+.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)) (fma.f64 -1/2 (*.f64 N N) (*.f64 1/3 (pow.f64 N 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 (/.f64 1/2 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 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 (/.f64 1/2 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))) |
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(*.f64 1 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) |
(fabs.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)) |
(log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) |
(log1p.f64 (-.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)) |
(log1p.f64 (+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) -1)) |
(log1p.f64 (+.f64 -1 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(-.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 (+.f64 -1 (neg.f64 N)) (/.f64 1 (neg.f64 N))) |
(/.f64 (-.f64 -1 N) (neg.f64 N)) |
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N))) |
(/.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)) (sqrt.f64 N)) |
(/.f64 (+.f64 N 1) (*.f64 (sqrt.f64 N) (sqrt.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 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N))) |
(*.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 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N))) |
(*.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 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N))) |
(/.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)) (sqrt.f64 N)) |
(/.f64 (+.f64 N 1) (*.f64 (sqrt.f64 N) (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))) |
(*.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))) |
(/.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))) (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 (+.f64 N 1)) 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 (exp.f64 (log1p.f64 N)) 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)))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 N) (log.f64 N))) |
(/.f64 (exp.f64 (log1p.f64 N)) N) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 N) (log.f64 N))) |
(/.f64 (exp.f64 (log1p.f64 N)) N) |
(neg.f64 (/.f64 (+.f64 N 1) (neg.f64 N))) |
(*.f64 (+.f64 -1 (neg.f64 N)) (/.f64 1 (neg.f64 N))) |
(/.f64 (-.f64 -1 N) (neg.f64 N)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2)) |
(fabs.f64 (+.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))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 N) (log.f64 N))) |
(/.f64 (exp.f64 (log1p.f64 N)) N) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 N 1) N))) |
(+.f64 1 (/.f64 1 N)) |
Compiled 31284 to 21992 computations (29.7% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1117 | 1 | 1118 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 1119 | 9 | 1128 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.4b | (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
| ✓ | 28.0b | (/.f64 1 N) |
| ✓ | 33.9b | (-.f64 N (log.f64 N)) |
| ▶ | 28.8b | (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
| ▶ | 29.4b | (+.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))))) |
| ✓ | 34.8b | (neg.f64 (log.f64 N)) |
| ▶ | 32.2b | (log.f64 (/.f64 (+.f64 N 1) N)) |
| ✓ | 32.6b | (exp.f64 (+.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) (/.f64 -1/2 N))) |
| ✓ | 32.7b | (exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) |
Compiled 87 to 64 computations (26.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (+.f64 N 1) N) | |
| 2.1b | (log.f64 (/.f64 (+.f64 N 1) N)) |
Compiled 17 to 11 computations (35.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1/4 (pow.f64 N 4)) |
| ✓ | 0.2b | (/.f64 1/2 (*.f64 N N)) |
| 0.3b | (/.f64 1/3 (pow.f64 N 3)) | |
| ✓ | 17.0b | (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) |
Compiled 84 to 58 computations (31% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | N | @ | 0 | (/.f64 1/4 (pow.f64 N 4)) |
| 0.0ms | N | @ | 0 | (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) |
| 0.0ms | N | @ | inf | (/.f64 1/4 (pow.f64 N 4)) |
| 0.0ms | N | @ | inf | (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) |
| 0.0ms | N | @ | -inf | (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) |
| 1× | batch-egg-rewrite |
| 922× | associate-/l* |
| 834× | associate-/r/ |
| 476× | associate-+l+ |
| 370× | add-sqr-sqrt |
| 356× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 75 |
| 1 | 384 | 71 |
| 2 | 5416 | 71 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/4 (pow.f64 N 4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1) (fma.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (pow.f64 N -2) (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 N -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 N -2) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/4 (pow.f64 N -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/4 (pow.f64 N -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -2) (/.f64 1/4 (*.f64 N N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 8))) (/.f64 1/4 (cbrt.f64 (pow.f64 N 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (pow.f64 N 4))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) N) (/.f64 1/2 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 N N)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) 1) (*.f64 1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 N (neg.f64 N))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 N 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))))) |
| 1× | egg-herbie |
| 1038× | associate-*r* |
| 898× | associate-*l* |
| 724× | +-commutative |
| 666× | associate-+r+ |
| 646× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 629 | 19984 |
| 1 | 1968 | 18664 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/4 (pow.f64 N 4)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))) |
(-.f64 (*.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 1/3 (/.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 -1/2 (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 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) |
(-.f64 (*.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 -1/2 (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 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) |
(-.f64 (*.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 1/2 (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 1/3 (pow.f64 N -3)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1)) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1) (fma.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1) (fma.f64 (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1 (*.f64 1/2 (pow.f64 N -2))) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1 (*.f64 1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) (*.f64 -1/4 (pow.f64 N -4)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (*.f64 -1/4 (pow.f64 N -4)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 -1 (*.f64 1/4 (pow.f64 N -4))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 -1 (*.f64 1/4 (pow.f64 N -4))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1 (*.f64 1/2 (pow.f64 N -2))) (*.f64 -1 (*.f64 1/4 (pow.f64 N -4))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) (*.f64 -1 (*.f64 1/4 (pow.f64 N -4))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (*.f64 -1 (*.f64 1/4 (pow.f64 N -4))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1 (*.f64 1/2 (pow.f64 N -2))) (*.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) (*.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (*.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1 (*.f64 1/2 (pow.f64 N -2))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 -1/2 (pow.f64 N -2)) (*.f64 1/4 (pow.f64 N -4)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 -1 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/4 (pow.f64 N -4)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) (*.f64 1/4 (pow.f64 N -4)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (-.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (*.f64 1/4 (pow.f64 N -4)))) |
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(*.f64 (pow.f64 N -2) (/.f64 1/4 (*.f64 N N))) |
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4)))) |
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) |
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2)) |
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 8))) (/.f64 1/4 (cbrt.f64 (pow.f64 N 4)))) |
(*.f64 (/.f64 1 (neg.f64 (pow.f64 N 4))) -1/4) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) N) (/.f64 1/2 N)) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 N N)) 1/2) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) 1) (*.f64 1/2 (pow.f64 N -2))) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2))) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 N (neg.f64 N))) -1/2) |
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2) |
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1) |
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3) |
(pow.f64 (*.f64 4 (pow.f64 N 4)) -1) |
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3) |
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8))) |
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))) |
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3))) |
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) |
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))) |
| Outputs |
|---|
(/.f64 -1/4 (pow.f64 N 4)) |
(-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4))) |
(-.f64 (*.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))) |
(-.f64 (*.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.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 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))) |
(-.f64 (*.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.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 (*.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))) |
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))) |
(-.f64 (*.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 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))) |
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 1/2 (*.f64 N N)))) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(/.f64 1/2 (pow.f64 N 2)) |
(/.f64 1/2 (*.f64 N N)) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) |
(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1)) |
(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (fma.f64 1/3 (pow.f64 N -3) (+.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (fma.f64 1/3 (pow.f64 N -3) (*.f64 0 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1) (fma.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (fma.f64 1/3 (pow.f64 N -3) (+.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4))) (fma.f64 1/3 (pow.f64 N -3) (*.f64 0 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (fma.f64 (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))) |
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (*.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)))) (*.f64 0 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1) (fma.f64 (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (fma.f64 (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N))) (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))) |
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (*.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)))) (*.f64 0 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))) |
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2)) (*.f64 0 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) (fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2))))) |
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2)) (*.f64 0 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 -1/2 (pow.f64 N -2)) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))) |
(fma.f64 -1/4 (pow.f64 N -4) (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 -1 (*.f64 1/2 (pow.f64 N -2))) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))) |
(fma.f64 -1/4 (pow.f64 N -4) (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 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))) |
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)) (*.f64 -1/4 (pow.f64 N -4)))) |
(fma.f64 1/3 (pow.f64 N -3) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (neg.f64 (*.f64 1/4 (pow.f64 N -4))))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))) |
(fma.f64 1/3 (pow.f64 N -3) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))) |
(fma.f64 -1/4 (pow.f64 N -4) (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 -1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))) |
(fma.f64 -1/4 (pow.f64 N -4) (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 -1 (*.f64 1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))) |
(fma.f64 -1/4 (pow.f64 N -4) (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 (neg.f64 (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) (*.f64 -1/4 (pow.f64 N -4)))) |
(fma.f64 1/3 (pow.f64 N -3) (+.f64 (neg.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)) (*.f64 -1/4 (pow.f64 N -4)))) |
(fma.f64 1/3 (pow.f64 N -3) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) (*.f64 -1/4 (pow.f64 N -4)))) |
(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))) |
(fma.f64 1/3 (pow.f64 N -3) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))))) |
(+.f64 (*.f64 1/3 (pow.f64 N -3)) (+.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 -1 (*.f64 1/4 (pow.f64 N -4))))) |
(fma.f64 -1/4 (pow.f64 N -4) (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 -1/2 (pow.f64 N -2)) (*.f64 -1 (*.f64 1/4 (pow.f64 N -4))))) |
(fma.f64 -1/4 (pow.f64 N -4) (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 -1 (*.f64 1/2 (pow.f64 N -2))) (*.f64 -1 (*.f64 1/4 (pow.f64 N -4))))) |
(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
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(fma.f64 1/3 (pow.f64 N -3) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2))) |
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(fma.f64 1/3 (pow.f64 N -3) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))))) |
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(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
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(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
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(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
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(fma.f64 1/3 (pow.f64 N -3) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2))) |
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(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
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(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
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(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
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(fma.f64 1/3 (pow.f64 N -3) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2))) |
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(fma.f64 1/3 (pow.f64 N -3) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 -1/4 (pow.f64 N -4)))) |
(fma.f64 1/3 (pow.f64 N -3) (-.f64 (*.f64 -1/4 (pow.f64 N -4)) (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))))) |
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(fma.f64 1/3 (pow.f64 N -3) (+.f64 (*.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (neg.f64 (hypot.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)))) (*.f64 0 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
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(fma.f64 1/3 (pow.f64 N -3) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2)) (*.f64 0 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))) |
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(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
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(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
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(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 1/3 (pow.f64 N -3) (*.f64 -1/2 (pow.f64 N -2)))) |
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(/.f64 -1/4 (neg.f64 (pow.f64 N 4))) |
(/.f64 1/4 (pow.f64 N 4)) |
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N)) |
(*.f64 (*.f64 1/2 (pow.f64 N -2)) (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)) |
(*.f64 1/2 (*.f64 (pow.f64 N -2) (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2))) |
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2)) |
(*.f64 1/4 (pow.f64 N -4)) |
(*.f64 (*.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))) |
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) (*.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))) |
(*.f64 1/2 (*.f64 (*.f64 (pow.f64 N -2) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 8))) (/.f64 1/4 (cbrt.f64 (pow.f64 N 4)))) |
(/.f64 (/.f64 1/4 (cbrt.f64 (pow.f64 N 4))) (cbrt.f64 (pow.f64 N 8))) |
(*.f64 (/.f64 1 (neg.f64 (pow.f64 N 4))) -1/4) |
(/.f64 -1/4 (neg.f64 (pow.f64 N 4))) |
(/.f64 1/4 (pow.f64 N 4)) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) N) (/.f64 1/2 N)) |
(*.f64 (pow.f64 N -2) (/.f64 1/4 (*.f64 N N))) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 N N)) 1/2) |
(*.f64 (pow.f64 N -2) (/.f64 1/4 (*.f64 N N))) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) 1) (*.f64 1/2 (pow.f64 N -2))) |
(*.f64 1/4 (pow.f64 N -4)) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (pow.f64 N 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2))) |
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (*.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (pow.f64 N 4)))) |
(/.f64 (/.f64 1/4 (/.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 N -2))) (pow.f64 (cbrt.f64 N) 2)) |
(*.f64 (/.f64 (*.f64 1/2 (pow.f64 N -2)) (*.f64 N (neg.f64 N))) -1/2) |
(*.f64 -1/2 (*.f64 (/.f64 1/2 N) (/.f64 (pow.f64 N -2) (neg.f64 N)))) |
(/.f64 -1/4 (/.f64 N (/.f64 (pow.f64 N -2) (neg.f64 N)))) |
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2) |
(*.f64 1/4 (pow.f64 N -4)) |
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1) |
(*.f64 1/4 (pow.f64 N -4)) |
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3) |
(*.f64 1/4 (pow.f64 N -4)) |
(pow.f64 (*.f64 4 (pow.f64 N 4)) -1) |
(/.f64 -1/4 (neg.f64 (pow.f64 N 4))) |
(/.f64 1/4 (pow.f64 N 4)) |
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3) |
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3))) |
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8))) |
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4))) |
(*.f64 (pow.f64 N -4) (log.f64 (exp.f64 1/4))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))) |
(*.f64 1/4 (pow.f64 N -4)) |
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3))) |
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) |
(*.f64 1/4 (pow.f64 N -4)) |
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4)))) |
(*.f64 1/4 (pow.f64 N -4)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))) 1)) |
(*.f64 1/4 (pow.f64 N -4)) |
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))) |
(*.f64 1/4 (pow.f64 N -4)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 1/3 N) 1/2) |
| ✓ | 0.0b | (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
| ✓ | 0.2b | (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)) |
| ✓ | 0.3b | (/.f64 1/3 N) |
Compiled 41 to 26 computations (36.6% saved)
12 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 | 82 |
| 1 | 283 | 78 |
| 2 | 4197 | 78 |
| 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))) |
(-.f64 (/.f64 1/3 N) 1/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 N))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -1/2) (/.f64 1/3 (sqrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 N)) (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2) (cbrt.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (pow.f64 N -1/2)) (pow.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1/3 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 N)) (pow.f64 N -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 N) 2)) (/.f64 1 (cbrt.f64 N)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 N)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (neg.f64 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 N) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 N)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 N)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 N 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 N -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 N))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/27 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 N)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 N)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 N))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 N -3)) (neg.f64 (*.f64 1/2 (pow.f64 N -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 1/2 (pow.f64 N -2))) (*.f64 1/3 (pow.f64 N -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 (pow.f64 N -3)) (*.f64 1/2 (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 N -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (/.f64 1 N))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 N -2) (+.f64 (/.f64 1/3 N) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 (/.f64 1/3 N)) (/.f64 1 (*.f64 N (neg.f64 N))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (neg.f64 N)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) N) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 N N) (+.f64 (/.f64 1/3 N) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 1/3 N) -1/2) (pow.f64 N -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N (neg.f64 N))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2) (pow.f64 N 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 N -2)))))) (#(struct:change #<rule 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(neg.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8)) (*.f64 1 (neg.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/9 (pow.f64 N -2)) (*.f64 1/9 (pow.f64 N -2))) 1/16) (*.f64 (+.f64 (/.f64 1/3 N) 1/2) (+.f64 (*.f64 1/9 (pow.f64 N -2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) (*.f64 1/27 (pow.f64 N -3))) 1/64) (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))) (+.f64 1/8 (*.f64 1/27 (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) (*.f64 1/27 (pow.f64 N -3))) 1/64) (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))) (+.f64 1/8 (*.f64 1/27 (pow.f64 N -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/9 (pow.f64 N -2)) 3) 1/64) (*.f64 (+.f64 (/.f64 1/3 N) 1/2) (+.f64 (+.f64 (*.f64 (*.f64 1/9 (pow.f64 N -2)) (*.f64 1/9 (pow.f64 N -2))) 1/16) (*.f64 (*.f64 1/9 (pow.f64 N -2)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/27 (pow.f64 N -3)) 3) 1/512) (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))) (+.f64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) (*.f64 1/27 (pow.f64 N -3))) (+.f64 1/64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/27 (pow.f64 N -3)) 3) 1/512) (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))) (+.f64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) (*.f64 1/27 (pow.f64 N -3))) (+.f64 1/64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1/3 N) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/3 N) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1/3 N) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1/3 N) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/3 N) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1/3 N) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (/.f64 1 N) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/3 N) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2) (cbrt.f64 (/.f64 1/3 N)) -1/2))))) |
| 1× | egg-herbie |
| 1192× | associate-*r* |
| 1022× | associate-*l* |
| 790× | associate-/r* |
| 724× | *-commutative |
| 584× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 607 | 12187 |
| 1 | 1875 | 11535 |
| 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 1/3 N) |
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) |
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) |
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) |
-1/2 |
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) |
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) |
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) |
-1/2 |
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) |
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) |
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) |
(-.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))) |
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(/.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)) |
(+.f64 (/.f64 1/3 N) -1/2) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(*.f64 (+.f64 (/.f64 1/3 N) -1/2) 1) |
(*.f64 1 (+.f64 (/.f64 1/3 N) -1/2)) |
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2))) |
(*.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2))) |
(*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4) (/.f64 1 (+.f64 (/.f64 1/3 N) 1/2))) |
(*.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8) (/.f64 1 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))))) |
(*.f64 (/.f64 1 (+.f64 (/.f64 1/3 N) 1/2)) (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4)) |
(*.f64 (/.f64 1 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N)))) (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8)) |
(*.f64 (/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4) (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4)) (+.f64 (/.f64 1/3 N) -1/2)) |
(*.f64 (/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4) (+.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 1/27 (pow.f64 N -3)) -1/8) (-.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 1/27 (pow.f64 N -3)) -1/8) (+.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)))))) |
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) 1) |
(/.f64 1 (/.f64 1 (+.f64 (/.f64 1/3 N) -1/2))) |
(/.f64 1 (/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))) (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8))) |
(/.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (/.f64 1 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))) |
(/.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)))) |
(/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4) (+.f64 (/.f64 1/3 N) 1/2)) |
(/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4) (/.f64 1 (/.f64 1 (+.f64 (/.f64 1/3 N) 1/2)))) |
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8) (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N)))) |
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8) (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2)))) |
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8) (/.f64 1 (/.f64 1 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N)))))) |
(/.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8) (*.f64 1 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8)) (/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))) (sqrt.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8)))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8)) (/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))) (sqrt.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8)))) |
(/.f64 (sqrt.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4)) (/.f64 (+.f64 (/.f64 1/3 N) 1/2) (sqrt.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8)) (cbrt.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8))) (/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))) (cbrt.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8)) (cbrt.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8))) (/.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))) (cbrt.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4)) (cbrt.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4))) (/.f64 (+.f64 (/.f64 1/3 N) 1/2) (cbrt.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4)) (neg.f64 (+.f64 (/.f64 1/3 N) 1/2))) |
(/.f64 (neg.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) -1/4)) (*.f64 1 (neg.f64 (+.f64 (/.f64 1/3 N) 1/2)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8)) (neg.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) -1/8)) (*.f64 1 (neg.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/9 (pow.f64 N -2)) (*.f64 1/9 (pow.f64 N -2))) 1/16) (*.f64 (+.f64 (/.f64 1/3 N) 1/2) (+.f64 (*.f64 1/9 (pow.f64 N -2)) 1/4))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) (*.f64 1/27 (pow.f64 N -3))) 1/64) (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))) (+.f64 1/8 (*.f64 1/27 (pow.f64 N -3))))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) (*.f64 1/27 (pow.f64 N -3))) 1/64) (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))) (+.f64 1/8 (*.f64 1/27 (pow.f64 N -3))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/9 (pow.f64 N -2)) 3) 1/64) (*.f64 (+.f64 (/.f64 1/3 N) 1/2) (+.f64 (+.f64 (*.f64 (*.f64 1/9 (pow.f64 N -2)) (*.f64 1/9 (pow.f64 N -2))) 1/16) (*.f64 (*.f64 1/9 (pow.f64 N -2)) 1/4)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/27 (pow.f64 N -3)) 3) 1/512) (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))) (+.f64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) (*.f64 1/27 (pow.f64 N -3))) (+.f64 1/64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) 1/8))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/27 (pow.f64 N -3)) 3) 1/512) (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))) (+.f64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) (*.f64 1/27 (pow.f64 N -3))) (+.f64 1/64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) 1/8))))) |
(pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 1) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 3) |
(pow.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 1/3 N) -1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/3 N) -1/2)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 3)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/3 N) -1/2))) |
(exp.f64 (log.f64 (+.f64 (/.f64 1/3 N) -1/2))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/3 N) -1/2)) 1)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/3 N) -1/2))) |
(fma.f64 1/3 (/.f64 1 N) -1/2) |
(fma.f64 1 (/.f64 1/3 N) -1/2) |
(fma.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)) -1/2) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2) (cbrt.f64 (/.f64 1/3 N)) -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 1/3 (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 (/.f64 1/3 (pow.f64 N 3)) (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.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 N) |
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) |
(+.f64 -1/2 (/.f64 1/3 N)) |
-1/2 |
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(/.f64 (-.f64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) (*.f64 1/27 (pow.f64 N -3))) 1/64) (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))) (+.f64 1/8 (*.f64 1/27 (pow.f64 N -3))))) |
(/.f64 (+.f64 (*.f64 1/729 (pow.f64 N -6)) -1/64) (*.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) 1/8) (+.f64 (fma.f64 1/9 (pow.f64 N -2) 1/4) (/.f64 1/6 N)))) |
(/.f64 (+.f64 (*.f64 (pow.f64 N -6) 1/729) -1/64) (*.f64 (+.f64 (*.f64 1/27 (pow.f64 N -3)) 1/8) (fma.f64 1/9 (pow.f64 N -2) (+.f64 1/4 (/.f64 1/6 N))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/9 (pow.f64 N -2)) 3) 1/64) (*.f64 (+.f64 (/.f64 1/3 N) 1/2) (+.f64 (+.f64 (*.f64 (*.f64 1/9 (pow.f64 N -2)) (*.f64 1/9 (pow.f64 N -2))) 1/16) (*.f64 (*.f64 1/9 (pow.f64 N -2)) 1/4)))) |
(/.f64 (+.f64 (*.f64 1/729 (pow.f64 (pow.f64 N -2) 3)) -1/64) (*.f64 (+.f64 1/2 (/.f64 1/3 N)) (+.f64 (*.f64 1/81 (pow.f64 N -4)) (+.f64 1/16 (*.f64 1/9 (*.f64 (pow.f64 N -2) 1/4)))))) |
(/.f64 (+.f64 (*.f64 (pow.f64 (pow.f64 N -2) 3) 1/729) -1/64) (*.f64 (+.f64 1/2 (/.f64 1/3 N)) (+.f64 (*.f64 (pow.f64 N -4) 1/81) (+.f64 1/16 (*.f64 (pow.f64 N -2) 1/36))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/27 (pow.f64 N -3)) 3) 1/512) (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (+.f64 1/4 (/.f64 1/6 N))) (+.f64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) (*.f64 1/27 (pow.f64 N -3))) (+.f64 1/64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) 1/8))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/27 (pow.f64 N -3)) 3) -1/512) (*.f64 (+.f64 (fma.f64 1/9 (pow.f64 N -2) 1/4) (/.f64 1/6 N)) (+.f64 (*.f64 1/729 (pow.f64 N -6)) (+.f64 1/64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) 1/8))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/27 (pow.f64 N -3)) 3) -1/512) (fma.f64 1/9 (pow.f64 N -2) (+.f64 1/4 (/.f64 1/6 N)))) (+.f64 (+.f64 (*.f64 (pow.f64 N -6) 1/729) (*.f64 (pow.f64 N -3) 1/216)) 1/64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 1/27 (pow.f64 N -3)) 3) 1/512) (*.f64 (+.f64 (*.f64 1/9 (pow.f64 N -2)) (-.f64 1/4 (*.f64 (/.f64 1/3 N) -1/2))) (+.f64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) (*.f64 1/27 (pow.f64 N -3))) (+.f64 1/64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) 1/8))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 1/27 (pow.f64 N -3)) 3) -1/512) (*.f64 (+.f64 (fma.f64 1/9 (pow.f64 N -2) 1/4) (/.f64 1/6 N)) (+.f64 (*.f64 1/729 (pow.f64 N -6)) (+.f64 1/64 (*.f64 (*.f64 1/27 (pow.f64 N -3)) 1/8))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 1/27 (pow.f64 N -3)) 3) -1/512) (fma.f64 1/9 (pow.f64 N -2) (+.f64 1/4 (/.f64 1/6 N)))) (+.f64 (+.f64 (*.f64 (pow.f64 N -6) 1/729) (*.f64 (pow.f64 N -3) 1/216)) 1/64)) |
(pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 1) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 2) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/3 N) -1/2)) 3) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(pow.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 3) 1/3) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 2)) |
(sqrt.f64 (pow.f64 (+.f64 -1/2 (/.f64 1/3 N)) 2)) |
(log.f64 (exp.f64 (+.f64 (/.f64 1/3 N) -1/2))) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/3 N) -1/2)))) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/3 N) -1/2) 3)) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/3 N) -1/2))) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(exp.f64 (log.f64 (+.f64 (/.f64 1/3 N) -1/2))) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/3 N) -1/2)) 1)) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/3 N) -1/2))) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(fma.f64 1/3 (/.f64 1 N) -1/2) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(fma.f64 1 (/.f64 1/3 N) -1/2) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(fma.f64 (sqrt.f64 (/.f64 1/3 N)) (sqrt.f64 (/.f64 1/3 N)) -1/2) |
(+.f64 -1/2 (/.f64 1/3 N)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 N)) 2) (cbrt.f64 (/.f64 1/3 N)) -1/2) |
(+.f64 -1/2 (/.f64 1/3 N)) |
Compiled 28721 to 22358 computations (22.2% saved)
10 alts after pruning (4 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 896 | 4 | 900 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 3 | 5 | 8 |
| Total | 899 | 10 | 909 |
| Status | Error | Program |
|---|---|---|
| 47.5b | (/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) | |
| ✓ | 29.4b | (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
| ✓ | 28.0b | (/.f64 1 N) |
| ✓ | 33.9b | (-.f64 N (log.f64 N)) |
| ✓ | 28.8b | (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
| 29.4b | (+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) | |
| 52.9b | (*.f64 (/.f64 (+.f64 N (*.f64 (/.f64 N (+.f64 -1/2 (/.f64 1/3 N))) N)) (pow.f64 N 3)) (+.f64 -1/2 (/.f64 1/3 N))) | |
| ✓ | 34.8b | (neg.f64 (log.f64 N)) |
| ✓ | 32.2b | (log.f64 (/.f64 (+.f64 N 1) N)) |
| 32.2b | (log.f64 (+.f64 1 (/.f64 1 N))) |
Compiled 109 to 78 computations (28.4% saved)
| Inputs |
|---|
(/.f64 1 N) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2)))) |
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 (/.f64 1/2 N) N))) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(log.f64 (+.f64 1 (/.f64 1 N))) |
(log.f64 (/.f64 (+.f64 N 1) N)) |
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N))) |
(*.f64 (/.f64 (+.f64 N (*.f64 (/.f64 N (+.f64 -1/2 (/.f64 1/3 N))) N)) (pow.f64 N 3)) (+.f64 -1/2 (/.f64 1/3 N))) |
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) |
(-.f64 (log1p.f64 N) (log.f64 N)) |
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
(exp.f64 (+.f64 (-.f64 (/.f64 5/24 (*.f64 N N)) (log.f64 N)) (/.f64 -1/2 N))) |
(+.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))))) |
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) |
| Outputs |
|---|
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) |
(log.f64 (+.f64 1 (/.f64 1 N))) |
2 calls:
| 19.0ms | N |
| 7.0ms | (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 2 | N |
| 0.0b | 2 | (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) |
Compiled 229 to 147 computations (35.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.124108385880845e-5 | 0.9978160597969594 |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(/.f64 1 N) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2)))) |
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 (/.f64 1/2 N) N))) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
(log.f64 (+.f64 1 (/.f64 1 N))) |
(log.f64 (/.f64 (+.f64 N 1) N)) |
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (/.f64 1/2 N) N))) |
(*.f64 (/.f64 (+.f64 N (*.f64 (/.f64 N (+.f64 -1/2 (/.f64 1/3 N))) N)) (pow.f64 N 3)) (+.f64 -1/2 (/.f64 1/3 N))) |
| Outputs |
|---|
(log.f64 (+.f64 1 (/.f64 1 N))) |
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
1 calls:
| 46.0ms | N |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 2 | N |
Compiled 135 to 89 computations (34.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.5839921646156044 | 14036.344279590576 |
| 14.0ms | 128× | body | 256 | valid |
Compiled 196 to 153 computations (21.9% saved)
| Inputs |
|---|
(/.f64 1 N) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2)))) |
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 (/.f64 1/2 N) N))) |
(neg.f64 (log.f64 N)) |
(-.f64 N (log.f64 N)) |
| Outputs |
|---|
(-.f64 N (log.f64 N)) |
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
1 calls:
| 10.0ms | N |
| Error | Segments | Branch |
|---|---|---|
| 0.6b | 2 | N |
Compiled 87 to 54 computations (37.9% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.5839921646156044 | 14036.344279590576 |
| 15.0ms | 128× | body | 256 | valid |
Compiled 180 to 129 computations (28.3% saved)
| Inputs |
|---|
(/.f64 1 N) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2)))) |
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 (/.f64 1/2 N) N))) |
(neg.f64 (log.f64 N)) |
| Outputs |
|---|
(neg.f64 (log.f64 N)) |
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
1 calls:
| 56.0ms | N |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 2 | N |
Compiled 83 to 53 computations (36.1% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.5839921646156044 | 14036.344279590576 |
| 14.0ms | 128× | body | 256 | valid |
Compiled 172 to 129 computations (25% saved)
Total -25.7b remaining (-91.8%)
Threshold costs -25.7b (-91.8%)
| Inputs |
|---|
(/.f64 1 N) |
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N) |
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)) |
(/.f64 (+.f64 N (+.f64 -1/2 (/.f64 1/3 N))) (*.f64 N N)) |
(+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N))) |
(/.f64 (-.f64 (*.f64 N (*.f64 N 2)) N) (*.f64 N (*.f64 N (*.f64 N 2)))) |
(+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (/.f64 (/.f64 1/2 N) N))) |
| Outputs |
|---|
(/.f64 1 N) |
1 calls:
| 9.0ms | N |
| Error | Segments | Branch |
|---|---|---|
| 28.0b | 1 | N |
Compiled 80 to 51 computations (36.3% saved)
| 1× | egg-herbie |
| 26× | +-commutative |
| 16× | sub-neg |
| 10× | *-commutative |
| 8× | neg-mul-1 |
| 8× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 301 |
| 1 | 64 | 301 |
| 2 | 76 | 301 |
| 3 | 89 | 301 |
| 4 | 94 | 301 |
| 5 | 96 | 301 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) (log.f64 (+.f64 1 (/.f64 1 N)))) |
(if (<=.f64 N 8500) (log.f64 (+.f64 1 (/.f64 1 N))) (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))) |
(if (<=.f64 N 7656119366529843/9007199254740992) (-.f64 N (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))) |
(if (<=.f64 N 5404319552844595/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))) |
(/.f64 1 N) |
| Outputs |
|---|
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (+.f64 (/.f64 1 N) (-.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4))))) (log.f64 (+.f64 1 (/.f64 1 N)))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (+.f64 (/.f64 1 N) (+.f64 (*.f64 (/.f64 1 N) (/.f64 1/3 (*.f64 N N))) (+.f64 (/.f64 -1/2 (*.f64 N N)) (/.f64 -1/4 (pow.f64 N 4))))) (log.f64 (+.f64 1 (/.f64 1 N)))) |
(if (<=.f64 N 8500) (log.f64 (+.f64 1 (/.f64 1 N))) (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))) |
(if (<=.f64 N 8500) (log.f64 (+.f64 1 (/.f64 1 N))) (+.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)))) |
(if (<=.f64 N 7656119366529843/9007199254740992) (-.f64 N (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))) |
(if (<=.f64 N 7656119366529843/9007199254740992) (-.f64 N (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)))) |
(if (<=.f64 N 5404319552844595/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (-.f64 (/.f64 1/3 N) 1/2) (*.f64 N N)))) |
(if (<=.f64 N 5404319552844595/9007199254740992) (neg.f64 (log.f64 N)) (+.f64 (/.f64 1 N) (/.f64 (+.f64 (/.f64 1/3 N) -1/2) (*.f64 N N)))) |
(/.f64 1 N) |
Compiled 113 to 82 computations (27.4% saved)
| 2× | egg-herbie |
| 1272× | associate-+l+ |
| 1176× | associate-*r* |
| 936× | associate-*l* |
| 826× | fma-def |
| 666× | associate--r+ |
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 |
| 0 | 128 | 1430 |
| 1 | 351 | 1342 |
| 2 | 1330 | 1336 |
| 3 | 5604 | 1336 |
| 1× | node limit |
| 1× | saturated |
Compiled 267 to 214 computations (19.9% saved)
Compiled 109 to 73 computations (33% saved)
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