Time bar (total: 12.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 6.3% | 4.7% | 70.2% | 0.1% | 0% | 25% | 0% | 7 |
| 11.5% | 8.6% | 66.3% | 0.1% | 0% | 25% | 0% | 8 |
| 18.2% | 13.7% | 61.2% | 0.1% | 0% | 25% | 0% | 9 |
| 32.8% | 20.5% | 41.9% | 0.1% | 0% | 37.4% | 0% | 10 |
| 38.9% | 24.3% | 38.1% | 0.1% | 0% | 37.4% | 0% | 11 |
| 45.7% | 28.5% | 33.9% | 0.1% | 0% | 37.4% | 0% | 12 |
Compiled 32 to 21 computations (34.4% saved)
| 1.8s | 8256× | body | 256 | valid |
| 364.0ms | 2028× | body | 256 | invalid |
| 2× | egg-herbie |
| 1432× | cube-prod |
| 996× | sqr-pow |
| 936× | distribute-lft-in |
| 924× | distribute-rgt-in |
| 924× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 172 |
| 1 | 97 | 164 |
| 2 | 117 | 164 |
| 3 | 150 | 108 |
| 4 | 219 | 84 |
| 5 | 244 | 84 |
| 6 | 614 | 84 |
| 7 | 2426 | 84 |
| 8 | 4396 | 84 |
| 9 | 4804 | 84 |
| 10 | 5769 | 84 |
| 11 | 7155 | 84 |
| 0 | 3 | 3 |
| 1 | 3 | 3 |
| 1× | unsound |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
0 |
2 |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) |
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (*.f64 (atan2.f64 re im) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) |
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) (log.f64 re)) (*.f64 (atan2.f64 im base) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0))) |
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) (log.f64 im)) (*.f64 (atan2.f64 base re) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) |
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) |
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re)))) (log.f64 base)) (*.f64 (atan2.f64 re im) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) |
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) |
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 base base) (*.f64 im im)))) (log.f64 re)) (*.f64 (atan2.f64 im base) 0)) (+.f64 (*.f64 (log.f64 re) (log.f64 re)) (*.f64 0 0))) |
(/.f64 (fma.f64 (log.f64 (hypot.f64 base im)) (log.f64 re) 0) (*.f64 (log.f64 re) (log.f64 re))) |
(/.f64 (*.f64 (log.f64 (hypot.f64 im base)) (log.f64 re)) (*.f64 (log.f64 re) (log.f64 re))) |
(*.f64 (/.f64 (log.f64 re) (log.f64 re)) (/.f64 (log.f64 (hypot.f64 im base)) (log.f64 re))) |
(/.f64 (*.f64 1 (log.f64 (hypot.f64 im base))) (log.f64 re)) |
(/.f64 (log.f64 (hypot.f64 im base)) (log.f64 re)) |
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 base base)))) (log.f64 im)) (*.f64 (atan2.f64 base re) 0)) (+.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 0 0))) |
(/.f64 (fma.f64 (log.f64 (hypot.f64 re base)) (log.f64 im) 0) (*.f64 (log.f64 im) (log.f64 im))) |
(/.f64 (*.f64 (log.f64 (hypot.f64 re base)) (log.f64 im)) (*.f64 (log.f64 im) (log.f64 im))) |
(*.f64 (/.f64 (log.f64 im) (log.f64 im)) (/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im))) |
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im))) |
(/.f64 (log.f64 (hypot.f64 re base)) (log.f64 im)) |
(sort re im)
Compiled 34 to 23 computations (32.4% saved)
| 1× | egg-herbie |
| 1656× | distribute-lft-in |
| 1496× | distribute-rgt-in |
| 1148× | associate-/r/ |
| 1042× | sqr-pow |
| 1034× | cube-prod |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 43 |
| 1 | 34 | 41 |
| 2 | 42 | 41 |
| 3 | 53 | 27 |
| 4 | 72 | 21 |
| 5 | 81 | 21 |
| 6 | 206 | 21 |
| 7 | 1264 | 21 |
| 8 | 2014 | 21 |
| 9 | 3312 | 21 |
| 10 | 4203 | 21 |
| 11 | 4695 | 21 |
| 12 | 5647 | 21 |
| 13 | 7659 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) |
(/.f64 (fma.f64 (log.f64 (hypot.f64 re im)) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) |
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
Compiled 87 to 32 computations (63.2% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 | 2 | 6 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 5 | 2 | 7 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.5b | (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) |
| ▶ | 0.3b | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
Compiled 26 to 16 computations (38.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
Compiled 22 to 7 computations (68.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | base | @ | 0 | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| 9.0ms | base | @ | -inf | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| 9.0ms | base | @ | inf | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| 2.0ms | re | @ | 0 | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| 1.0ms | re | @ | inf | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| 1× | batch-egg-rewrite |
| 1918× | add-sqr-sqrt |
| 1908× | *-un-lft-identity |
| 1758× | add-cube-cbrt |
| 1734× | add-cbrt-cube |
| 200× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 194 | 21 |
| 2 | 2367 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) |
| 1× | egg-herbie |
| 1304× | associate-+l+ |
| 856× | times-frac |
| 854× | associate-/l* |
| 772× | associate-*r/ |
| 724× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 192 | 3652 |
| 1 | 495 | 2962 |
| 2 | 1683 | 2890 |
| 3 | 6302 | 2890 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1) |
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) |
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (neg.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) |
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) |
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
| Outputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))))) |
(fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 im (*.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base))) |
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (/.f64 (log.f64 im) (log.f64 base))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)) (/.f64 (*.f64 1/2 (*.f64 re re)) (*.f64 im (*.f64 im (log.f64 base)))))) |
(fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 im) (log.f64 base)))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 im 6)) (fma.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)) (/.f64 (*.f64 1/2 (*.f64 re re)) (*.f64 im (*.f64 im (log.f64 base))))))) |
(fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (*.f64 (/.f64 re (log.f64 base)) (/.f64 (/.f64 re im) im)) (fma.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (log.f64 im) (log.f64 base))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base)) |
(/.f64 (log.f64 re) (log.f64 base)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))))) |
(-.f64 (/.f64 (*.f64 (*.f64 1/2 im) im) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))) |
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (/.f64 (*.f64 (*.f64 1/2 im) im) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))) |
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 re) (log.f64 base)))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (fma.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (/.f64 120 (pow.f64 re 6))) (/.f64 (*.f64 (*.f64 1/2 im) im) (*.f64 (log.f64 base) (*.f64 re re)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (fma.f64 1/720 (*.f64 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6)) 120) (/.f64 (log.f64 re) (log.f64 base))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) |
(/.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))))) |
(-.f64 (/.f64 (*.f64 (*.f64 1/2 im) im) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(-.f64 (/.f64 (/.f64 1/2 (/.f64 (/.f64 (log.f64 base) im) im)) (*.f64 re re)) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (/.f64 (*.f64 (*.f64 1/2 im) im) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) |
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (*.f64 (/.f64 -1/4 (*.f64 (log.f64 base) (pow.f64 re 4))) (pow.f64 im 4))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (fma.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (/.f64 120 (pow.f64 re 6))) (/.f64 (*.f64 (*.f64 1/2 im) im) (*.f64 (log.f64 base) (*.f64 re re)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) |
(-.f64 (fma.f64 (/.f64 -1/4 (pow.f64 re 4)) (/.f64 (pow.f64 im 4) (log.f64 base)) (fma.f64 1/720 (*.f64 (/.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (pow.f64 re 6)) 120) (/.f64 (/.f64 1/2 (/.f64 (/.f64 (log.f64 base) im) im)) (*.f64 re re)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base)) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))))) |
(-.f64 (/.f64 (*.f64 (*.f64 1/2 im) im) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))) |
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (/.f64 (*.f64 (*.f64 1/2 im) im) (*.f64 (log.f64 base) (*.f64 re re))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))) |
(fma.f64 1/2 (*.f64 (/.f64 im (log.f64 base)) (/.f64 im (*.f64 re re))) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (/.f64 (log.f64 re) (log.f64 base)))) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))) |
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(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) (/.f64 (*.f64 (*.f64 1/2 im) im) (*.f64 (log.f64 base) (*.f64 re re)))))) |
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(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) |
| ✓ | 0.4b | (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| ✓ | 0.6b | (*.f64 (log.f64 base) (log.f64 base)) |
Compiled 40 to 9 computations (77.5% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | base | @ | inf | (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| 0.0ms | re | @ | inf | (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| 0.0ms | re | @ | 0 | (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| 0.0ms | im | @ | inf | (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| 0.0ms | base | @ | -inf | (*.f64 (log.f64 base) (log.f64 base)) |
| 1× | batch-egg-rewrite |
| 1608× | associate-*r/ |
| 1368× | associate-*l/ |
| 462× | distribute-rgt-in |
| 426× | distribute-lft-in |
| 342× | associate-/r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 69 |
| 1 | 241 | 53 |
| 2 | 3331 | 53 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 base) (log.f64 base)) |
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 base) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 (log.f64 base) (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 base))) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 base) 0) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 base)) (*.f64 (log.f64 (cbrt.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (log.f64 base)) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) 3) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) 2))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (log.f64 base)) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 base))) (log.f64 base)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 base)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (hypot.f64 re im)) 0) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 base) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (*.f64 (log.f64 base) (log.f64 (cbrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (sqrt.f64 base))) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (log.f64 (hypot.f64 re im))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (log.f64 base)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (log.f64 base)) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (hypot.f64 re im))) (*.f64 (log.f64 (cbrt.f64 base)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 (hypot.f64 re im))) (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 base) 2))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 4)) (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 base) 2)) (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 base (log.f64 (hypot.f64 re im))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 (hypot.f64 re im)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 base (log.f64 (hypot.f64 re im))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (log.f64 (sqrt.f64 base))) (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (*.f64 (log.f64 (cbrt.f64 base)) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 base)) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (*.f64 (log.f64 (sqrt.f64 base)) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (*.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (*.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 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*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2))) (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (log.f64 base) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) |
| 1× | egg-herbie |
| 1542× | distribute-lft-in |
| 1406× | associate-/r/ |
| 1338× | associate-/l/ |
| 582× | +-commutative |
| 536× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 481 | 9956 |
| 1 | 1260 | 8326 |
| 2 | 4703 | 8318 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (log.f64 base) 2) |
(pow.f64 (log.f64 base) 2) |
(pow.f64 (log.f64 base) 2) |
(pow.f64 (log.f64 base) 2) |
(pow.f64 (log.f64 (/.f64 1 base)) 2) |
(pow.f64 (log.f64 (/.f64 1 base)) 2) |
(pow.f64 (log.f64 (/.f64 1 base)) 2) |
(pow.f64 (log.f64 (/.f64 1 base)) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) |
(*.f64 (log.f64 base) (log.f64 im)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (+.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 im 6)))))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re)))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 re 6)))))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 re 6)))))) |
(*.f64 (log.f64 base) (log.f64 re)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 (log.f64 base) (log.f64 re)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 (log.f64 base) (log.f64 re)) (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 re 6)))))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 im 6)))))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 im 6)))))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 -1 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (log.f64 base))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (log.f64 base) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (pow.f64 (log.f64 base) 2)) (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (pow.f64 (log.f64 base) 2))) (neg.f64 (log.f64 base))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base))) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))) (log.f64 base)) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2))) (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) |
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (log.f64 base) 2)))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) |
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
| Outputs |
|---|
(pow.f64 (log.f64 base) 2) |
(pow.f64 (log.f64 base) 2) |
(pow.f64 (log.f64 base) 2) |
(pow.f64 (log.f64 base) 2) |
(pow.f64 (log.f64 (/.f64 1 base)) 2) |
(pow.f64 (log.f64 base) 2) |
(pow.f64 (log.f64 (/.f64 1 base)) 2) |
(pow.f64 (log.f64 base) 2) |
(pow.f64 (log.f64 (/.f64 1 base)) 2) |
(pow.f64 (log.f64 base) 2) |
(pow.f64 (log.f64 (/.f64 1 base)) 2) |
(pow.f64 (log.f64 base) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2) |
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2) |
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2) |
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) |
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) 2) |
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) 2) |
(*.f64 (log.f64 base) (log.f64 im)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im))) |
(fma.f64 1/2 (/.f64 (log.f64 base) (/.f64 (*.f64 im im) (*.f64 re re))) (*.f64 (log.f64 base) (log.f64 im))) |
(fma.f64 (log.f64 base) (log.f64 im) (*.f64 1/2 (*.f64 (/.f64 (*.f64 re re) im) (/.f64 (log.f64 base) im)))) |
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 im))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im)))) |
(fma.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (log.f64 base) (/.f64 (*.f64 im im) (*.f64 re re))) (*.f64 (log.f64 base) (log.f64 im)))) |
(fma.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (fma.f64 (log.f64 base) (log.f64 im) (*.f64 1/2 (*.f64 (/.f64 (*.f64 re re) im) (/.f64 (log.f64 base) im))))) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 im)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (+.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 im 6)))))) |
(fma.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (log.f64 base) (/.f64 (*.f64 im im) (*.f64 re re))) (fma.f64 (log.f64 base) (log.f64 im) (*.f64 1/6 (/.f64 (log.f64 base) (/.f64 (pow.f64 im 6) (pow.f64 re 6))))))) |
(fma.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 im 4) (pow.f64 re 4))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 re re) im) (/.f64 (log.f64 base) im)) (fma.f64 (log.f64 base) (log.f64 im) (*.f64 1/6 (*.f64 (/.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 re 6)))))) |
(fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 4)) (log.f64 base)) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (fma.f64 (log.f64 base) (log.f64 im) (*.f64 1/6 (*.f64 (/.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 re 6)))))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) |
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 re))) |
(*.f64 (log.f64 base) (neg.f64 (neg.f64 (log.f64 re)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re))))) |
(fma.f64 1/2 (/.f64 (log.f64 base) (/.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 re)))) |
(-.f64 (*.f64 1/2 (/.f64 (log.f64 base) (*.f64 (/.f64 re im) (/.f64 re im)))) (*.f64 (log.f64 base) (neg.f64 (log.f64 re)))) |
(-.f64 (*.f64 (/.f64 1/2 (*.f64 re re)) (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 (log.f64 base) (neg.f64 (log.f64 re)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re)))))) |
(fma.f64 1/2 (/.f64 (log.f64 base) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 re))))) |
(-.f64 (fma.f64 1/2 (/.f64 (log.f64 base) (*.f64 (/.f64 re im) (/.f64 re im))) (*.f64 -1/4 (*.f64 (/.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4)))) (*.f64 (log.f64 base) (neg.f64 (log.f64 re)))) |
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (*.f64 -1/4 (*.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 base)))) (*.f64 (log.f64 base) (neg.f64 (log.f64 re)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 re 6)))))) |
(fma.f64 1/2 (/.f64 (log.f64 base) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (fma.f64 -1 (*.f64 (log.f64 base) (neg.f64 (log.f64 re))) (*.f64 1/720 (/.f64 (log.f64 base) (/.f64 (pow.f64 re 6) (*.f64 (pow.f64 im 6) 120))))))) |
(fma.f64 1/2 (/.f64 (log.f64 base) (*.f64 (/.f64 re im) (/.f64 re im))) (fma.f64 -1/4 (*.f64 (/.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4)) (-.f64 (*.f64 1/720 (*.f64 (/.f64 (log.f64 base) (pow.f64 re 6)) (*.f64 (pow.f64 im 6) 120))) (*.f64 (log.f64 base) (neg.f64 (log.f64 re)))))) |
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 base)) (*.f64 1/720 (*.f64 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (log.f64 base)) 120)))) (*.f64 (log.f64 base) (neg.f64 (log.f64 re)))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) |
(*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2)))) |
(fma.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re))) (/.f64 (*.f64 1/2 (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 re re))) |
(-.f64 (*.f64 1/2 (/.f64 (log.f64 base) (*.f64 (/.f64 re im) (/.f64 re im)))) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(-.f64 (*.f64 (/.f64 1/2 (*.f64 re re)) (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))))) |
(fma.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re))) (fma.f64 1/2 (/.f64 (log.f64 base) (/.f64 (*.f64 re re) (*.f64 im im))) (*.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))))) |
(-.f64 (fma.f64 1/2 (/.f64 (log.f64 base) (*.f64 (/.f64 re im) (/.f64 re im))) (*.f64 -1/4 (*.f64 (/.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4)))) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (*.f64 -1/4 (*.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 base)))) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 re 6)))))) |
(fma.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re))) (fma.f64 1/2 (/.f64 (log.f64 base) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (*.f64 1/720 (/.f64 (log.f64 base) (/.f64 (pow.f64 re 6) (*.f64 (pow.f64 im 6) 120))))))) |
(-.f64 (fma.f64 1/2 (/.f64 (log.f64 base) (*.f64 (/.f64 re im) (/.f64 re im))) (fma.f64 -1/4 (*.f64 (/.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4)) (*.f64 1/720 (*.f64 (/.f64 (log.f64 base) (pow.f64 re 6)) (*.f64 (pow.f64 im 6) 120))))) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 base)) (*.f64 1/720 (*.f64 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (log.f64 base)) 120)))) (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(*.f64 (log.f64 base) (log.f64 re)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 (log.f64 base) (log.f64 re))) |
(fma.f64 1/2 (/.f64 (log.f64 base) (/.f64 (*.f64 re re) (*.f64 im im))) (*.f64 (log.f64 base) (log.f64 re))) |
(fma.f64 (log.f64 base) (log.f64 re) (*.f64 1/2 (/.f64 (log.f64 base) (*.f64 (/.f64 re im) (/.f64 re im))))) |
(fma.f64 (log.f64 base) (log.f64 re) (*.f64 (/.f64 1/2 (*.f64 re re)) (*.f64 (log.f64 base) (*.f64 im im)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 (log.f64 base) (log.f64 re)))) |
(fma.f64 1/2 (/.f64 (log.f64 base) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 -1/4 (/.f64 (log.f64 base) (/.f64 (pow.f64 re 4) (pow.f64 im 4))) (*.f64 (log.f64 base) (log.f64 re)))) |
(fma.f64 1/2 (/.f64 (log.f64 base) (*.f64 (/.f64 re im) (/.f64 re im))) (fma.f64 (log.f64 base) (log.f64 re) (*.f64 -1/4 (*.f64 (/.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))))) |
(fma.f64 1/2 (*.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (log.f64 base)) (fma.f64 -1/4 (*.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 4)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 re)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 (log.f64 base) (log.f64 re)) (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 re 6)))))) |
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(fma.f64 1/2 (/.f64 (log.f64 base) (*.f64 (/.f64 re im) (/.f64 re im))) (fma.f64 -1/4 (*.f64 (/.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4)) (fma.f64 (log.f64 base) (log.f64 re) (*.f64 1/6 (*.f64 (/.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 im 6)))))) |
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(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) (pow.f64 (log.f64 base) 2)) |
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) 4)))) |
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(pow.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) 1/3) |
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(log1p.f64 (+.f64 (pow.f64 base (log.f64 (hypot.f64 re im))) -1)) |
(log.f64 (+.f64 (pow.f64 base (log.f64 (hypot.f64 im re))) 0)) |
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(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) |
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(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) |
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(log1p.f64 (+.f64 (pow.f64 base (log.f64 (hypot.f64 re im))) -1)) |
(log.f64 (+.f64 (pow.f64 base (log.f64 (hypot.f64 im re))) 0)) |
(log1p.f64 (+.f64 -1 (pow.f64 base (log.f64 (hypot.f64 im re))))) |
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(*.f64 (log.f64 (hypot.f64 im re)) (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 3 (log.f64 (cbrt.f64 base))))) |
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(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (log.f64 base) 2)))) |
(/.f64 (*.f64 1 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))) (neg.f64 (pow.f64 (log.f64 base) 2))) |
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 im re))))) |
(*.f64 (*.f64 1 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))) (log.f64 (hypot.f64 im re))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) |
(fabs.f64 (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) |
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) |
Compiled 11910 to 4934 computations (58.6% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 484 | 17 | 501 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 485 | 18 | 503 |
| Status | Error | Program |
|---|---|---|
| 31.9b | (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) | |
| ▶ | 0.4b | (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) |
| 32.1b | (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) | |
| ▶ | 1.3b | (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
| 32.6b | (/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) (*.f64 (log.f64 base) (log.f64 base))) | |
| ▶ | 29.0b | (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 (log.f64 base) (log.f64 base))) |
| 32.6b | (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) | |
| ✓ | 0.3b | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| 31.6b | (/.f64 (log.f64 (hypot.f64 im re)) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))) | |
| ▶ | 28.9b | (/.f64 (log.f64 im) (log.f64 base)) |
| 16.6b | (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1) | |
| ▶ | 0.5b | (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
| 14.9b | (*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) | |
| 0.5b | (*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))) (log.f64 base)) | |
| 0.4b | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) | |
| 1.6b | (log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) | |
| 0.7b | (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) | |
| 0.7b | (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
Compiled 468 to 331 computations (29.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) |
| ✓ | 0.4b | (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) |
Compiled 32 to 10 computations (68.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | re | @ | inf | (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) |
| 2.0ms | im | @ | inf | (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) |
| 2.0ms | re | @ | inf | (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) |
| 2.0ms | im | @ | inf | (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) |
| 2.0ms | im | @ | 0 | (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) |
| 1× | batch-egg-rewrite |
| 976× | *-commutative |
| 822× | associate-/r* |
| 704× | unswap-sqr |
| 612× | associate-*r/ |
| 588× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 48 |
| 1 | 239 | 42 |
| 2 | 2834 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base))) (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 0) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (/.f64 1 (log.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (cbrt.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (sqrt.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 1 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 -1 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 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base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) |
| 1× | egg-herbie |
| 1384× | associate-/l* |
| 1222× | associate-/r* |
| 1054× | *-commutative |
| 1054× | associate-*r* |
| 796× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 945 | 24592 |
| 1 | 2655 | 24044 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (/.f64 (log.f64 base) (log.f64 im))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (*.f64 (log.f64 im) (pow.f64 im 2)))))) (pow.f64 re 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im))))) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 im 2)) (log.f64 (/.f64 1 re)))))) (pow.f64 re 6)))))) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 im 2)) (log.f64 (/.f64 -1 re)))))) (pow.f64 re 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2))))))) |
(/.f64 (log.f64 base) (log.f64 re)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (/.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))))) (pow.f64 im 4))) (/.f64 (log.f64 base) (log.f64 re)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 6)))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 6)))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))))) (*.f64 (log.f64 re) (pow.f64 re 2)))))) (pow.f64 im 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))))) (pow.f64 im 4))) (/.f64 (log.f64 base) (log.f64 re))))) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
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(/.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (log.f64 base)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) 1) (log.f64 base)) |
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 1) (cbrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (/.f64 1 (log.f64 base)) 1) (/.f64 1 (log.f64 (hypot.f64 re im)))) |
(/.f64 (*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) 1) |
(/.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) 1) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (log.f64 base))) |
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 (log.f64 base)) 1)) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))) |
(/.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1)) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) |
(/.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) -1) (log.f64 base)) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) 1) (neg.f64 (log.f64 base))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (neg.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base)))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (*.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 (neg.f64 (log.f64 base))))) (cbrt.f64 (neg.f64 (log.f64 base)))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) 1) 1) (log.f64 base)) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 1) (cbrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) |
(/.f64 (/.f64 (/.f64 1 (log.f64 base)) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))) (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) |
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)) |
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(exp.f64 (-.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 base)))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
| Outputs |
|---|
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) |
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) |
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) |
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) |
(/.f64 (*.f64 (log.f64 base) 1) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) |
(/.f64 (*.f64 (log.f64 base) 1) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) |
(/.f64 (*.f64 (log.f64 base) 1) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))))) |
(/.f64 (*.f64 (log.f64 base) 1) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (/.f64 (log.f64 base) (log.f64 im))) |
(fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (/.f64 (*.f64 re re) (*.f64 im im))) (/.f64 (log.f64 base) (log.f64 im))) |
(fma.f64 -1/2 (/.f64 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (*.f64 re re)) (*.f64 im im)) (/.f64 (log.f64 base) (log.f64 im))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im)))) |
(fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 -1 (*.f64 (*.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4)) (/.f64 (log.f64 base) (log.f64 im)))) |
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (*.f64 re re)) (*.f64 im im)) (/.f64 (log.f64 base) (log.f64 im))) (*.f64 (pow.f64 re 4) (*.f64 1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 im 4)))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (*.f64 (log.f64 im) (pow.f64 im 2)))))) (pow.f64 re 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im))))) |
(fma.f64 -1 (*.f64 (fma.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))) (fma.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6))) (*.f64 -1/2 (/.f64 (*.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (*.f64 (*.f64 im im) (log.f64 im)))))) (pow.f64 re 6)) (fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (/.f64 (*.f64 re re) (*.f64 im im))) (fma.f64 -1 (*.f64 (*.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4)) (/.f64 (log.f64 base) (log.f64 im))))) |
(fma.f64 -1 (*.f64 (fma.f64 1/6 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 im 6)) (fma.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6))) (/.f64 (*.f64 1/8 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 im 4)))) (*.f64 im (*.f64 im (log.f64 im)))))) (pow.f64 re 6)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (*.f64 re re)) (*.f64 im im)) (/.f64 (log.f64 base) (log.f64 im))) (*.f64 (pow.f64 re 4) (*.f64 1/4 (+.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 3)) (pow.f64 im 4)) (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 im 4))))))) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) |
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 re)))) |
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 re))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))) |
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(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (*.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))) |
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)) |
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(exp.f64 (-.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (log.f64 im) (log.f64 base)) |
Compiled 14 to 6 computations (57.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | im | @ | 0 | (/.f64 (log.f64 im) (log.f64 base)) |
| 10.0ms | base | @ | 0 | (/.f64 (log.f64 im) (log.f64 base)) |
| 8.0ms | im | @ | -inf | (/.f64 (log.f64 im) (log.f64 base)) |
| 6.0ms | im | @ | inf | (/.f64 (log.f64 im) (log.f64 base)) |
| 1.0ms | base | @ | -inf | (/.f64 (log.f64 im) (log.f64 base)) |
| 1× | batch-egg-rewrite |
| 1552× | add-sqr-sqrt |
| 1540× | *-un-lft-identity |
| 1424× | add-cube-cbrt |
| 1404× | add-cbrt-cube |
| 1388× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 154 | 15 |
| 2 | 1918 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) |
| 1× | egg-herbie |
| 1578× | associate-*r* |
| 1130× | associate-+r+ |
| 864× | associate-+l+ |
| 678× | distribute-lft-neg-out |
| 516× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 1281 |
| 1 | 242 | 961 |
| 2 | 852 | 961 |
| 3 | 4569 | 961 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1) |
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base))) |
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base))) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base)))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base)))) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
(*.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1) |
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) |
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (log.f64 base)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (neg.f64 (log.f64 im)) (/.f64 1 (neg.f64 (log.f64 base)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (log.f64 im) (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(/.f64 (log.f64 im) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (log.f64 im) (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(/.f64 (log.f64 im) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 (log.f64 base) (log.f64 base))) |
| ✓ | 0.3b | (*.f64 (log.f64 base) (log.f64 im)) |
| 0.6b | (*.f64 (log.f64 base) (log.f64 base)) |
Compiled 30 to 8 computations (73.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | im | @ | -inf | (*.f64 (log.f64 base) (log.f64 im)) |
| 0.0ms | base | @ | -inf | (*.f64 (log.f64 base) (log.f64 im)) |
| 0.0ms | base | @ | 0 | (*.f64 (log.f64 base) (log.f64 im)) |
| 0.0ms | im | @ | inf | (*.f64 (log.f64 base) (log.f64 im)) |
| 0.0ms | base | @ | inf | (*.f64 (log.f64 base) (log.f64 im)) |
| 1× | batch-egg-rewrite |
| 1434× | associate-*r/ |
| 1000× | *-commutative |
| 968× | associate-*l/ |
| 632× | swap-sqr |
| 368× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 46 |
| 1 | 201 | 30 |
| 2 | 2862 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 base) (log.f64 im)) |
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 (log.f64 base) (log.f64 base))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 im))) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 base) (log.f64 (pow.f64 (cbrt.f64 im) 2))) (*.f64 (log.f64 base) (log.f64 (cbrt.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 base) 0) (log.f64 (pow.f64 base (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) (log.f64 (cbrt.f64 (*.f64 base base)))) (*.f64 (log.f64 im) (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) (log.f64 (sqrt.f64 base))) (*.f64 (log.f64 im) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 im) 0) (log.f64 (pow.f64 base (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 im) 2)) (log.f64 base)) (*.f64 (log.f64 (cbrt.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (log.f64 base)) (log.f64 (pow.f64 base (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 base base))) (log.f64 im)) (*.f64 (log.f64 (cbrt.f64 base)) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 im)) (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (log.f64 im)) (log.f64 (pow.f64 base (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 base (log.f64 im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (/.f64 (log.f64 base) (log.f64 (pow.f64 base (log.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 base (log.f64 im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 base) 2) (/.f64 (log.f64 base) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (log.f64 (pow.f64 base (log.f64 im)))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (neg.f64 (log.f64 im)))) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im))))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 base) (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (log.f64 base)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) (log.f64 base)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (sqrt.f64 (log.f64 base))) (log.f64 base)) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 base)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 base (log.f64 im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 base (log.f64 im))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 base (log.f64 im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 base (log.f64 im)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 base (log.f64 im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 base (log.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 base (log.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 base (log.f64 im)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 im))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 im) 2))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 im)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (sqrt.f64 im)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 im) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 im)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 base (log.f64 im))) (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (*.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) (*.f64 (cbrt.f64 (log.f64 (pow.f64 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2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (log.f64 base) -2)) (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (log.f64 base) -2)) (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (log.f64 base) -2)) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (log.f64 base) -2)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (pow.f64 base 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (pow.f64 (log.f64 base) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 base (log.f64 im))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) |
| 1× | egg-herbie |
| 1252× | associate-/r/ |
| 972× | *-commutative |
| 586× | distribute-lft-in |
| 532× | distribute-rgt-in |
| 416× | log-prod |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 318 | 4049 |
| 1 | 778 | 3549 |
| 2 | 2914 | 3531 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(*.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(*.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(*.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(*.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 im))) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 im)))) |
(+.f64 (*.f64 (log.f64 base) (log.f64 (pow.f64 (cbrt.f64 im) 2))) (*.f64 (log.f64 base) (log.f64 (cbrt.f64 im)))) |
(+.f64 (*.f64 (log.f64 base) 0) (log.f64 (pow.f64 base (log.f64 im)))) |
(+.f64 (*.f64 (log.f64 im) (log.f64 (cbrt.f64 (*.f64 base base)))) (*.f64 (log.f64 im) (log.f64 (cbrt.f64 base)))) |
(+.f64 (*.f64 (log.f64 im) (log.f64 (sqrt.f64 base))) (*.f64 (log.f64 im) (log.f64 (sqrt.f64 base)))) |
(+.f64 (*.f64 (log.f64 im) 0) (log.f64 (pow.f64 base (log.f64 im)))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 im)) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 im)) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 im) 2)) (log.f64 base)) (*.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))) |
(+.f64 (*.f64 0 (log.f64 base)) (log.f64 (pow.f64 base (log.f64 im)))) |
(+.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 base base))) (log.f64 im)) (*.f64 (log.f64 (cbrt.f64 base)) (log.f64 im))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 im)) (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 im))) |
(+.f64 (*.f64 0 (log.f64 im)) (log.f64 (pow.f64 base (log.f64 im)))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 base (log.f64 im))))) 1) |
(/.f64 (log.f64 base) (/.f64 (log.f64 base) (log.f64 (pow.f64 base (log.f64 im))))) |
(/.f64 (log.f64 (pow.f64 base (log.f64 im))) 1) |
(/.f64 (pow.f64 (log.f64 base) 2) (/.f64 (log.f64 base) (log.f64 im))) |
(/.f64 (*.f64 (log.f64 base) (log.f64 (pow.f64 base (log.f64 im)))) (log.f64 base)) |
(/.f64 (*.f64 (log.f64 base) (*.f64 (log.f64 base) (neg.f64 (log.f64 im)))) (neg.f64 (log.f64 base))) |
(/.f64 (*.f64 (log.f64 base) (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im))))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))))) |
(/.f64 (*.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))))) |
(/.f64 (*.f64 (log.f64 base) (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (log.f64 base) (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (log.f64 base)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) (log.f64 base)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))))) |
(/.f64 (*.f64 (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (sqrt.f64 (log.f64 base))) (log.f64 base)) (sqrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (log.f64 base)) (cbrt.f64 (log.f64 base))) |
(pow.f64 (log.f64 (pow.f64 base (log.f64 im))) 1) |
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 3) |
(pow.f64 (pow.f64 (log.f64 (pow.f64 base (log.f64 im))) 3) 1/3) |
(neg.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im)))) |
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 base (log.f64 im))) 2)) |
(log.f64 (pow.f64 base (log.f64 im))) |
(log.f64 (+.f64 1 (-.f64 (pow.f64 base (log.f64 im)) 1))) |
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 base (log.f64 im))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 im) 3))) |
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 base (log.f64 im))))) |
(exp.f64 (log.f64 (log.f64 (pow.f64 base (log.f64 im))))) |
(log1p.f64 (-.f64 (pow.f64 base (log.f64 im)) 1)) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 im))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 im)))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 im) 2))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 im)))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 im) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 im)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (sqrt.f64 im)) (/.f64 1 (log.f64 base)))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 im) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 im)) (/.f64 1 (log.f64 base)))) |
(+.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1) |
(*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))) |
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base))) |
(*.f64 (log.f64 (pow.f64 base (log.f64 im))) (pow.f64 (log.f64 base) -2)) |
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base))) |
(*.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (*.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (log.f64 base) -2))) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) (*.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (log.f64 base) -2))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (pow.f64 base (log.f64 im)))) |
(*.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2)))) |
(*.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (log.f64 base) -2)) (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im))))) |
(*.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (log.f64 base) -2)) (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 1)) |
(*.f64 (*.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (log.f64 base) -2)) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2)) |
(*.f64 (*.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (log.f64 base) -2)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) 1)) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 1 (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (log.f64 base) 1) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2))) |
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4)))) |
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) (log.f64 base)) |
(*.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) -2)) (/.f64 (log.f64 base) 1)) |
(*.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4)))) |
(*.f64 (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4)))) |
(*.f64 (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))) (*.f64 (log.f64 base) (neg.f64 (log.f64 im)))) |
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 1) (*.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (log.f64 base) -2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) 1) (*.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (log.f64 base) -2))) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (log.f64 base)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) (log.f64 base))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) (sqrt.f64 (log.f64 im))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 im)) 1)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base))) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (cbrt.f64 (pow.f64 (log.f64 base) 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (log.f64 base))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (/.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) 2))) (neg.f64 (log.f64 im))) |
(*.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 im)))) (sqrt.f64 (log.f64 im))) |
(*.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (log.f64 im)) 2))) (cbrt.f64 (log.f64 im))) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) (log.f64 im)) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))))) (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im))))) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2))) (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im))))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) (sqrt.f64 (log.f64 base))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) (pow.f64 (log.f64 base) 2)) (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) (cbrt.f64 (log.f64 base))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (log.f64 base)) (cbrt.f64 (log.f64 im))) |
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1) |
(neg.f64 (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (neg.f64 (pow.f64 (log.f64 base) 2)))) |
(neg.f64 (*.f64 (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (neg.f64 (pow.f64 (log.f64 base) 2))) 1)) |
(neg.f64 (*.f64 (log.f64 (pow.f64 base (log.f64 im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))) |
(neg.f64 (*.f64 1 (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (neg.f64 (pow.f64 (log.f64 base) 2))))) |
(neg.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im))))) |
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(neg.f64 (/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (pow.f64 (log.f64 base) 2))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) |
(log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 base (log.f64 im))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(*.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(*.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(*.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(*.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(*.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(*.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(*.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(*.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(*.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(*.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(*.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(*.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(*.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(*.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(*.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(neg.f64 (*.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(*.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(*.f64 (log.f64 base) (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1))) |
(*.f64 (log.f64 base) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im)))) |
(*.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(*.f64 (log.f64 base) (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1))) |
(*.f64 (log.f64 base) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im)))) |
(*.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(*.f64 (log.f64 base) (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1))) |
(*.f64 (log.f64 base) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im)))) |
(*.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(*.f64 (log.f64 base) (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1))) |
(*.f64 (log.f64 base) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
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(/.f64 (*.f64 (*.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4)))) |
(*.f64 (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4)))) |
(/.f64 (*.f64 (*.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4)))) |
(*.f64 (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))) (*.f64 (log.f64 base) (neg.f64 (log.f64 im)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 1) (*.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (log.f64 base) -2))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) 1) (*.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (log.f64 base) -2))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (log.f64 base)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) (sqrt.f64 (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 im)) 1)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(/.f64 (*.f64 (*.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4)))) |
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(/.f64 (*.f64 (*.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(/.f64 (*.f64 (*.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (cbrt.f64 (pow.f64 (log.f64 base) 4)))) |
(/.f64 (*.f64 (*.f64 (log.f64 im) (log.f64 base)) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 base) 4)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(*.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (pow.f64 (log.f64 base) 4)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) (log.f64 base)) (/.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 im) (log.f64 base))) 2)) (cbrt.f64 (pow.f64 (log.f64 base) 4))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (pow.f64 (log.f64 base) 4)))) |
(*.f64 (/.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) 2))) (neg.f64 (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 im)))) (sqrt.f64 (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (log.f64 im)) 2))) (cbrt.f64 (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 base))) (log.f64 im)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im)))))) (sqrt.f64 (log.f64 (pow.f64 base (log.f64 im))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2))) (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) (sqrt.f64 (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im)))) 2) (pow.f64 (log.f64 base) 2)) (cbrt.f64 (log.f64 (pow.f64 base (log.f64 im))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 im))) (cbrt.f64 (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (log.f64 base)) (cbrt.f64 (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1) |
(/.f64 (log.f64 im) (log.f64 base)) |
(neg.f64 (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (neg.f64 (pow.f64 (log.f64 base) 2)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(neg.f64 (*.f64 (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (neg.f64 (pow.f64 (log.f64 base) 2))) 1)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(neg.f64 (*.f64 (log.f64 (pow.f64 base (log.f64 im))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(neg.f64 (*.f64 1 (/.f64 (log.f64 (pow.f64 base (log.f64 im))) (neg.f64 (pow.f64 (log.f64 base) 2))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(neg.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) 2) (neg.f64 (log.f64 im))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(neg.f64 (/.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 im))) (pow.f64 (log.f64 base) 2))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(cbrt.f64 (/.f64 (pow.f64 (log.f64 im) 3) (pow.f64 (log.f64 base) 3))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 base (log.f64 im))) 3) (pow.f64 (pow.f64 (log.f64 base) 2) 3))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) | |
| ✓ | 0.5b | (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
| ✓ | 0.7b | (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
Compiled 41 to 11 computations (73.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | re | @ | inf | (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
| 8.0ms | im | @ | inf | (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
| 5.0ms | re | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
| 4.0ms | im | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
| 3.0ms | im | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
| 1× | batch-egg-rewrite |
| 974× | *-commutative |
| 770× | unswap-sqr |
| 682× | associate-*r/ |
| 640× | associate-/r* |
| 604× | swap-sqr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 46 |
| 1 | 262 | 46 |
| 2 | 2919 | 46 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))) 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(cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))))) |
| 1× | egg-herbie |
| 1508× | associate-/l* |
| 1440× | associate-/r* |
| 1026× | associate-*r/ |
| 772× | *-commutative |
| 712× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1179 | 30124 |
| 1 | 3694 | 29710 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3)) |
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(pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3) |
(pow.f64 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))) |
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1) |
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2) 3)) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
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(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) (*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
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(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
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(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) |
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(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
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(*.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1)) |
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (/.f64 1 (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) |
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(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2) 3) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 1 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (*.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
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(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3/4) (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3/4) (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 3/2) (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3/4)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3/4))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 3/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3/4)) (*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 3/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3/4))) |
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 3/2)) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 3/2))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3/4) (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 3/2)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3/4) (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 3/2))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/6) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/6))) (*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/6) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1/6)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 3/4) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 3/4)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1/2) (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1/2)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (log.f64 base) 1)) |
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
(/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im))))) |
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im))))) |
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im))))) |
(/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) |
(/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))))) |
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im))))) |
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))) |
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))) |
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(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)))) |
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(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (/.f64 (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) (/.f64 (neg.f64 (log.f64 base)) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))))) |
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(/.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))) |
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(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base)))) |
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(neg.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) 1)) |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) 1) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) |
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(*.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)) |
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (/.f64 1 (log.f64 base)))) |
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(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 base)) 1/6) (pow.f64 (/.f64 1 (log.f64 base)) 1/6)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
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(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3/2)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6)))) |
(/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(/.f64 1 (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im))))) |
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(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))) |
(/.f64 (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (neg.f64 (log.f64 base)))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))) |
(/.f64 (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))))) |
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) |
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(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) 1) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) 1) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im))))) |
(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) (cbrt.f64 (neg.f64 (log.f64 base)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (neg.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) (neg.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) 1) (cbrt.f64 (neg.f64 (log.f64 base)))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) 1) (neg.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6)) (sqrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1/6))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 1) (cbrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3) |
(neg.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (cbrt.f64 (log.f64 base))))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
| Outputs |
|---|
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+.f64 (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3))) (*.f64 1/6 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3)))) (pow.f64 re 2))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (*.f64 im im))) 1/2) (*.f64 re re))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (/.f64 1/2 (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 re re))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/18 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (pow.f64 1 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/12 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4))))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4))))))) (*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 im)) (log.f64 base)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) 1) (log.f64 im)) 1/3) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 1/12 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))))))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 im) 4))) 1/3) (/.f64 1 (pow.f64 im 4)))))))) (pow.f64 re 4)) (+.f64 (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3))) (*.f64 1/6 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3)))) (pow.f64 re 2)))) |
(fma.f64 (fma.f64 1/18 (/.f64 (/.f64 1 (log.f64 base)) (*.f64 (log.f64 im) (pow.f64 im 4))) (+.f64 (*.f64 -1/3 (+.f64 (/.f64 1/12 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) (*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (+.f64 (/.f64 1/12 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) (*.f64 1/36 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 im) 4))) (/.f64 1 (pow.f64 im 4)))))))) (pow.f64 re 4) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (*.f64 im im))) 1/2) (*.f64 re re)))) |
(fma.f64 (+.f64 (/.f64 1/18 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (fma.f64 -1/3 (+.f64 (/.f64 (/.f64 1/12 (log.f64 base)) (*.f64 (log.f64 im) (pow.f64 im 4))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (+.f64 (/.f64 (/.f64 1/12 (log.f64 base)) (*.f64 (log.f64 im) (pow.f64 im 4))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) (*.f64 1/36 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 im) 4))) (/.f64 1 (pow.f64 im 4)))))))) (pow.f64 re 4) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 (/.f64 1/2 (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 re re)))) |
(+.f64 (*.f64 (+.f64 (*.f64 1/18 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (pow.f64 1 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/12 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4))))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4))))))) (*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 im)) (log.f64 base)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) 1) (log.f64 im)) 1/3) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 1/12 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))))))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 im) 4))) 1/3) (/.f64 1 (pow.f64 im 4)))))))) (pow.f64 re 4)) (+.f64 (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3))) (*.f64 1/6 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 2))) (pow.f64 1 1/3)))) (pow.f64 re 2)) (*.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 (log.f64 im) 2))) 1/3) (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) 1) (log.f64 im)) 1/3) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 1/12 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))))))) (*.f64 1/36 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 im) 4))) 1/3) (/.f64 1 (pow.f64 im 4))))) (pow.f64 im 2)))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 im)) (log.f64 base)) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) 1) (pow.f64 (log.f64 im) 4)) 1/3) (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 1/12 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))))) (pow.f64 im 2)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) 1) (log.f64 im)) 1/3) (-.f64 (*.f64 1/6 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/216 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))))) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 1/12 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4))))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4))))) (*.f64 (log.f64 im) (pow.f64 im 2)))))))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 1/12 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4))))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4))))) (*.f64 (log.f64 im) (pow.f64 im 2))))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/6 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/216 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))))) (*.f64 -1/3 (/.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 1/12 (/.f64 1 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))))) (*.f64 (log.f64 im) (pow.f64 im 2))))))))))) (pow.f64 re 6))))) |
(fma.f64 (fma.f64 1/18 (/.f64 (/.f64 1 (log.f64 base)) (*.f64 (log.f64 im) (pow.f64 im 4))) (+.f64 (*.f64 -1/3 (+.f64 (/.f64 1/12 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) (*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (+.f64 (/.f64 1/12 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) (*.f64 1/36 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 im) 4))) (/.f64 1 (pow.f64 im 4)))))))) (pow.f64 re 4) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 (*.f64 (/.f64 1 (*.f64 (log.f64 base) (*.f64 im im))) 1/2) (*.f64 re re) (*.f64 (fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 im) 2))) (/.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (+.f64 (/.f64 1/12 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) (*.f64 1/36 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 im) 4))) (/.f64 1 (pow.f64 im 4))))) (*.f64 im im))) (fma.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 4))) (/.f64 (+.f64 (/.f64 1/12 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 im im))) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) (-.f64 (-.f64 (/.f64 1/6 (*.f64 (log.f64 base) (pow.f64 im 6))) (/.f64 1/216 (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))))) (*.f64 -1/3 (/.f64 (+.f64 (/.f64 1/12 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 (log.f64 im) (*.f64 im im))))))) (+.f64 (*.f64 -1/9 (/.f64 (+.f64 (/.f64 1/12 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 (log.f64 im) (*.f64 im im)))) (*.f64 1/3 (-.f64 (-.f64 (/.f64 1/6 (*.f64 (log.f64 base) (pow.f64 im 6))) (/.f64 1/216 (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))))) (*.f64 -1/3 (/.f64 (+.f64 (/.f64 1/12 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 (log.f64 im) (*.f64 im im))))))))) (pow.f64 re 6))))) |
(fma.f64 (+.f64 (/.f64 1/18 (*.f64 (log.f64 base) (*.f64 (log.f64 im) (pow.f64 im 4)))) (fma.f64 -1/3 (+.f64 (/.f64 (/.f64 1/12 (log.f64 base)) (*.f64 (log.f64 im) (pow.f64 im 4))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (+.f64 (/.f64 (/.f64 1/12 (log.f64 base)) (*.f64 (log.f64 im) (pow.f64 im 4))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) (*.f64 1/36 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 im) 4))) (/.f64 1 (pow.f64 im 4)))))))) (pow.f64 re 4) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 (/.f64 1/2 (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 re re) (*.f64 (fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 im) 2))) (/.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (+.f64 (/.f64 (/.f64 1/12 (log.f64 base)) (*.f64 (log.f64 im) (pow.f64 im 4))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4))))) (*.f64 1/36 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 base) 2)) (pow.f64 (log.f64 im) 4))) (/.f64 1 (pow.f64 im 4))))) (*.f64 im im))) (fma.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (fma.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 4))) (/.f64 (+.f64 (/.f64 (/.f64 1/12 (log.f64 base)) (*.f64 (log.f64 im) (pow.f64 im 4))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 im im))) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) (-.f64 (-.f64 (/.f64 1/6 (*.f64 (log.f64 base) (pow.f64 im 6))) (/.f64 1/216 (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))))) (*.f64 -1/3 (/.f64 (+.f64 (/.f64 (/.f64 1/12 (log.f64 base)) (*.f64 (log.f64 im) (pow.f64 im 4))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 (log.f64 im) (*.f64 im im))))))) (fma.f64 -1/9 (/.f64 (+.f64 (/.f64 (/.f64 1/12 (log.f64 base)) (*.f64 (log.f64 im) (pow.f64 im 4))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 (log.f64 im) (*.f64 im im))) (*.f64 1/3 (-.f64 (-.f64 (/.f64 1/6 (*.f64 (log.f64 base) (pow.f64 im 6))) (/.f64 1/216 (*.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))))) (*.f64 -1/3 (/.f64 (+.f64 (/.f64 (/.f64 1/12 (log.f64 base)) (*.f64 (log.f64 im) (pow.f64 im 4))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 (log.f64 im) (*.f64 im im))))))))) (pow.f64 re 6))))) |
(*.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)) (pow.f64 1 1/3))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))) |
(+.f64 (*.f64 1/6 (*.f64 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (pow.f64 1 1/3))) (+.f64 (*.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base)) (pow.f64 1 1/3))) (*.f64 1/3 (*.f64 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))) (pow.f64 1 1/3))))) |
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(fma.f64 1/6 (/.f64 im (/.f64 (*.f64 (log.f64 base) (*.f64 re re)) im)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/3 (/.f64 im (/.f64 (*.f64 (log.f64 base) (*.f64 re re)) im))))) |
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(cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(neg.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (cbrt.f64 (log.f64 base))))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) |
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
| ✓ | 0.4b | (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) |
| ✓ | 0.5b | (pow.f64 (log.f64 base) -2) |
Compiled 39 to 13 computations (66.7% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | base | @ | -inf | (pow.f64 (log.f64 base) -2) |
| 1.0ms | base | @ | inf | (pow.f64 (log.f64 base) -2) |
| 1.0ms | base | @ | 0 | (pow.f64 (log.f64 base) -2) |
| 0.0ms | base | @ | inf | (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) |
| 0.0ms | re | @ | -inf | (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) |
| 1× | batch-egg-rewrite |
| 1102× | *-commutative |
| 1046× | unswap-sqr |
| 678× | swap-sqr |
| 476× | sqr-pow |
| 456× | pow-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 69 |
| 1 | 257 | 59 |
| 2 | 3016 | 53 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (log.f64 base) -2) |
(*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) |
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 (log.f64 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-2) (log.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (cbrt.f64 base)) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 base)) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (sqrt.f64 base)) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base))) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) |
| 1× | egg-herbie |
| 1742× | distribute-lft-in |
| 1736× | associate-/r* |
| 1692× | associate-/l* |
| 610× | +-commutative |
| 592× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 446 | 9025 |
| 1 | 1272 | 7421 |
| 2 | 4200 | 7399 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (pow.f64 (log.f64 base) 2)) |
(/.f64 1 (pow.f64 (log.f64 base) 2)) |
(/.f64 1 (pow.f64 (log.f64 base) 2)) |
(/.f64 1 (pow.f64 (log.f64 base) 2)) |
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2)) |
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2)) |
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2)) |
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2)) |
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)) |
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)) |
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)) |
(/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 -1 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 (log.f64 base) (log.f64 im)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 (log.f64 base) (log.f64 im)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (+.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 im 6)))))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re)))))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 re 6)))))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 re 6)))))) |
(*.f64 (log.f64 base) (log.f64 re)) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (*.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (*.f64 (log.f64 base) (log.f64 re)))) |
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (pow.f64 re 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 re 4))) (+.f64 (*.f64 (log.f64 base) (log.f64 re)) (*.f64 1/6 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 re 6)))))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 im 6)))))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) |
(+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 im 4))) (+.f64 (*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (pow.f64 im 2))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 im 6)))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))) |
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -2))) -1) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -2))) 1) |
(*.f64 (pow.f64 (log.f64 base) -2) 1) |
(*.f64 1 (pow.f64 (log.f64 base) -2)) |
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 base) -4))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) |
(*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 base) -4)) |
(*.f64 (pow.f64 (log.f64 base) -4) (pow.f64 (log.f64 base) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 4) (*.f64 (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) -2))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -2) (pow.f64 (cbrt.f64 (log.f64 base)) -2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) -2) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -2)) |
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (sqrt.f64 (log.f64 base))) (*.f64 (pow.f64 (log.f64 base) -2) (sqrt.f64 (log.f64 base)))) (log.f64 base)) |
(*.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (*.f64 (pow.f64 (log.f64 base) -2) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)) (sqrt.f64 (/.f64 1 (log.f64 base)))) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)) (sqrt.f64 (/.f64 1 (log.f64 base))))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (/.f64 1 (log.f64 base)))) (*.f64 (pow.f64 (log.f64 base) -1/2) (sqrt.f64 (/.f64 1 (log.f64 base))))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (sqrt.f64 (/.f64 1 (log.f64 base)))) (*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (sqrt.f64 (/.f64 1 (log.f64 base))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base))) (*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base))) (*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base))) (*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (pow.f64 (log.f64 base) -1/2)) (*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (pow.f64 (log.f64 base) -1/2))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) -1/2)) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) -1/2))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (log.f64 base) -1/2)) (*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (log.f64 base) -1/2))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (pow.f64 (sqrt.f64 (log.f64 base)) -1)) (*.f64 (sqrt.f64 (/.f64 1 (log.f64 base))) (pow.f64 (sqrt.f64 (log.f64 base)) -1))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)) (pow.f64 (sqrt.f64 (log.f64 base)) -1)) (*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)) (pow.f64 (sqrt.f64 (log.f64 base)) -1))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (sqrt.f64 (log.f64 base)) -1)) (*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (sqrt.f64 (log.f64 base)) -1))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4)))) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4))))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4))) (cbrt.f64 (/.f64 1 (log.f64 base)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) -4))) (cbrt.f64 (/.f64 1 (log.f64 base))))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (log.f64 base) 2) -1/2) (pow.f64 (pow.f64 (log.f64 base) 2) -1/2)) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) 1/6)) |
(/.f64 (/.f64 1 (log.f64 base)) (log.f64 base)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -2))) (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -2))) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -2))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -2))) (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -2)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 base) -2))) 1)))) |
(sqrt.f64 (pow.f64 (log.f64 base) -4)) |
(log.f64 (exp.f64 (pow.f64 (log.f64 base) -2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 base) -2)))) |
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) -2))) |
(exp.f64 (log.f64 (pow.f64 (log.f64 base) -2))) |
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) -2))) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) -1) |
(+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
(+.f64 (*.f64 (log.f64 base) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (*.f64 (log.f64 base) (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (cbrt.f64 base)))) |
(+.f64 (*.f64 (log.f64 (hypot.f64 re im)) 0) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
(+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (sqrt.f64 base))) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (sqrt.f64 base)))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 base))) |
(+.f64 (*.f64 0 (log.f64 base)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (log.f64 base)) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 (hypot.f64 re im))) (*.f64 (log.f64 (cbrt.f64 base)) (log.f64 (hypot.f64 re im)))) |
(+.f64 (*.f64 0 (log.f64 (hypot.f64 re im))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 (hypot.f64 re im))) (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 (hypot.f64 re im)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 1) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 1)))) |
(pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3) |
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) |
(log.f64 (pow.f64 base (log.f64 (hypot.f64 re im)))) |
(log.f64 (-.f64 (+.f64 1 (pow.f64 base (log.f64 (hypot.f64 re im)))) 1)) |
(cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) (pow.f64 (log.f64 base) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(exp.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(log1p.f64 (+.f64 (pow.f64 base (log.f64 (hypot.f64 re im))) -1)) |
(+.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) -1) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 base)))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base))) (*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base)))) |
(+.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (cbrt.f64 base)) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 0 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 base)) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (sqrt.f64 base)) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)) (log.f64 base)) |
(/.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)) 1) (log.f64 base)) |
(/.f64 (*.f64 1 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base))) (log.f64 base)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)))) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) |
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
| Outputs |
|---|
(/.f64 1 (pow.f64 (log.f64 base) 2)) |
(pow.f64 (log.f64 base) -2) |
(/.f64 1 (pow.f64 (log.f64 base) 2)) |
(pow.f64 (log.f64 base) -2) |
(/.f64 1 (pow.f64 (log.f64 base) 2)) |
(pow.f64 (log.f64 base) -2) |
(/.f64 1 (pow.f64 (log.f64 base) 2)) |
(pow.f64 (log.f64 base) -2) |
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2)) |
(/.f64 1 (pow.f64 (log.f64 base) 2)) |
(pow.f64 (log.f64 base) -2) |
(/.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2)) |
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(*.f64 2 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im))))) |
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))) |
(*.f64 (/.f64 1 (log.f64 base)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(*.f64 (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (/.f64 1 (log.f64 base))) |
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 base)) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (cbrt.f64 base)) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 base))) (log.f64 (cbrt.f64 base)))) |
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 (hypot.f64 re im)) (*.f64 3 (log.f64 (cbrt.f64 base))))) |
(+.f64 (*.f64 0 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 base)) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (sqrt.f64 base)) (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (hypot.f64 re im))))) |
(*.f64 2 (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 (sqrt.f64 base))))) |
(*.f64 (log.f64 (hypot.f64 re im)) (*.f64 2 (*.f64 (pow.f64 (log.f64 base) -2) (log.f64 (sqrt.f64 base))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)) (log.f64 base)) |
(/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2)) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base)) |
(/.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base)) 1) (log.f64 base)) |
(/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2)) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base)) |
(/.f64 (*.f64 1 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base))) (log.f64 base)) |
(/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) 2)) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) 2)) (log.f64 base)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)) |
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) |
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (*.f64 2 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) |
(fabs.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 base) -2) 3) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
Compiled 57160 to 28696 computations (49.8% saved)
23 alts after pruning (21 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1630 | 15 | 1645 |
| Fresh | 6 | 6 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 1640 | 23 | 1663 |
| Status | Error | Program |
|---|---|---|
| 31.9b | (pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) | |
| ▶ | 28.9b | (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1) |
| 0.4b | (pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1) | |
| 33.0b | (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) 3) | |
| 0.5b | (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))) | |
| 32.6b | (/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) (*.f64 (log.f64 base) (log.f64 base))) | |
| 29.0b | (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base)) | |
| 0.4b | (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 base)) | |
| 33.1b | (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base))))) | |
| 32.6b | (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) | |
| ✓ | 0.3b | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| ✓ | 28.9b | (/.f64 (log.f64 im) (log.f64 base)) |
| ▶ | 0.4b | (/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
| 29.1b | (-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1) | |
| ▶ | 32.6b | (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re))))) |
| 29.1b | (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 im))) | |
| 0.4b | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) | |
| ▶ | 29.0b | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
| 28.9b | (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) | |
| ▶ | 0.7b | (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
| 29.1b | (log.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) | |
| 0.7b | (cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) | |
| 29.1b | (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) |
Compiled 556 to 425 computations (23.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
| 0.4b | (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) |
Compiled 32 to 10 computations (68.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | im | @ | -inf | (/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
| 0.0ms | re | @ | -inf | (/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
| 0.0ms | re | @ | inf | (/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
| 0.0ms | im | @ | inf | (/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
| 0.0ms | re | @ | 0 | (/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
| 1× | batch-egg-rewrite |
| 1018× | associate-/r* |
| 1012× | *-commutative |
| 898× | associate-*r/ |
| 644× | associate-*l/ |
| 608× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 27 |
| 1 | 235 | 21 |
| 2 | 2836 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (/.f64 1 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 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(hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (neg.f64 (log.f64 base)))) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) |
| 1× | egg-herbie |
| 1544× | associate-*r/ |
| 1326× | associate-/l* |
| 938× | associate-*l/ |
| 934× | times-frac |
| 832× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 264 | 5114 |
| 1 | 673 | 4076 |
| 2 | 2159 | 3996 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1) |
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (log.f64 base))) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) |
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1)) |
(*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 -1 (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) -1) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (/.f64 1 (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(*.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1) (/.f64 1 (log.f64 base))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(*.f64 (/.f64 1 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) |
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (neg.f64 (log.f64 base)))) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) |
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) |
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(exp.f64 (-.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 base)))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
| Outputs |
|---|
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))))) |
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base))) |
(fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (/.f64 (log.f64 im) (log.f64 base))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4))))) |
(+.f64 (fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (/.f64 (log.f64 im) (log.f64 base))) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 (/.f64 -1/4 (log.f64 base)) (/.f64 (pow.f64 re 4) (pow.f64 im 4)))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 im 6)) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 re))) (log.f64 base)) |
(/.f64 (log.f64 re) (log.f64 base)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (log.f64 base))))) |
(-.f64 (/.f64 1/2 (/.f64 (*.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))) |
(fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (log.f64 base)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (/.f64 1/2 (/.f64 (*.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base)))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (log.f64 base))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (fma.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 120 (log.f64 base))) (/.f64 1/2 (/.f64 (*.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))) |
(+.f64 (*.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6))) 120)) (fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(neg.f64 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (log.f64 base))))) |
(-.f64 (/.f64 1/2 (/.f64 (*.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(-.f64 (*.f64 (*.f64 (/.f64 im re) (/.f64 im re)) (/.f64 1/2 (log.f64 base))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (log.f64 base)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (/.f64 1/2 (/.f64 (*.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) |
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (*.f64 (/.f64 (pow.f64 im 4) (log.f64 base)) (/.f64 -1/4 (pow.f64 re 4)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (log.f64 base))) (*.f64 1/720 (/.f64 (*.f64 (pow.f64 im 6) 120) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (fma.f64 1/720 (*.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 6)) (/.f64 120 (log.f64 base))) (/.f64 1/2 (/.f64 (*.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)))) (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) |
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base)))) |
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (/.f64 1 (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (log.f64 (hypot.f64 re im)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 1)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base)))) |
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) 1)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2))) |
(*.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) -1) (/.f64 1 (log.f64 base))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)) (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)) (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 1 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) |
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (log.f64 (hypot.f64 re im)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) 1) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base)))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 (hypot.f64 re im))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (neg.f64 (log.f64 base)))) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (/.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))))) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(exp.f64 (-.f64 (log.f64 (log.f64 (hypot.f64 re im))) (log.f64 (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 1 (log.f64 base)) |
| ✓ | 0.3b | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
Compiled 21 to 11 computations (47.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | base | @ | -inf | (/.f64 1 (log.f64 base)) |
| 0.0ms | base | @ | inf | (/.f64 1 (log.f64 base)) |
| 0.0ms | base | @ | 0 | (/.f64 1 (log.f64 base)) |
| 0.0ms | base | @ | 0 | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
| 0.0ms | base | @ | -inf | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
| 1× | batch-egg-rewrite |
| 1706× | add-sqr-sqrt |
| 1690× | *-un-lft-identity |
| 1562× | add-cube-cbrt |
| 1538× | add-cbrt-cube |
| 182× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 188 | 26 |
| 2 | 2180 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
(/.f64 1 (log.f64 base)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log.f64 im)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 base)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base)))))))) |
| 1× | egg-herbie |
| 1882× | distribute-rgt-in |
| 1864× | distribute-lft-in |
| 1196× | associate-/r/ |
| 716× | unswap-sqr |
| 538× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 1426 |
| 1 | 269 | 1286 |
| 2 | 864 | 1286 |
| 3 | 3868 | 1286 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 -1 (log.f64 (/.f64 1 base))) |
(/.f64 -1 (log.f64 (/.f64 1 base))) |
(/.f64 -1 (log.f64 (/.f64 1 base))) |
(/.f64 -1 (log.f64 (/.f64 1 base))) |
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1) |
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))) |
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im)))) |
(/.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base))) |
(/.f64 (*.f64 -1 (log.f64 im)) (neg.f64 (log.f64 base))) |
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base)) |
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) |
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base))) |
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) |
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 base)))) 1) |
(*.f64 1 (/.f64 1 (log.f64 base))) |
(*.f64 (/.f64 1 (log.f64 base)) 1) |
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (/.f64 1 (log.f64 base)))) |
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 base)))) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1)) |
(pow.f64 (log.f64 base) -1) |
(pow.f64 (/.f64 1 (log.f64 base)) 1) |
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 base) -2)) |
(log.f64 (exp.f64 (/.f64 1 (log.f64 base)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base)))) |
(exp.f64 (neg.f64 (log.f64 (log.f64 base)))) |
(exp.f64 (*.f64 (log.f64 (log.f64 base)) -1)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base)))) |
| Outputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 -1 (log.f64 (/.f64 1 base))) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(/.f64 -1 (log.f64 (/.f64 1 base))) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(/.f64 -1 (log.f64 (/.f64 1 base))) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(/.f64 -1 (log.f64 (/.f64 1 base))) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (*.f64 (log.f64 im) -1) (neg.f64 (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (*.f64 -1 (log.f64 im)) (neg.f64 (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3) |
(/.f64 (log.f64 im) (log.f64 base)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 base)))) 1) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(*.f64 1 (/.f64 1 (log.f64 base))) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(*.f64 (/.f64 1 (log.f64 base)) 1) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(*.f64 (pow.f64 (log.f64 base) -1/2) (pow.f64 (log.f64 base) -1/2)) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (/.f64 1 (log.f64 base)))) |
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2))) |
(*.f64 -1 (/.f64 1 (neg.f64 (log.f64 base)))) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) -1) (pow.f64 (sqrt.f64 (log.f64 base)) -1)) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 base)) -1)) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(pow.f64 (log.f64 base) -1) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(pow.f64 (/.f64 1 (log.f64 base)) 1) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(pow.f64 (pow.f64 (log.f64 base) -1/2) 2) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(pow.f64 (cbrt.f64 (/.f64 1 (log.f64 base))) 3) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(sqrt.f64 (pow.f64 (log.f64 base) -2)) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(log.f64 (exp.f64 (/.f64 1 (log.f64 base)))) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 base))))) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 base)))) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(exp.f64 (neg.f64 (log.f64 (log.f64 base)))) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(exp.f64 (*.f64 (log.f64 (log.f64 base)) -1)) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 base))) 1)) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 base)))) |
(/.f64 -1 (neg.f64 (log.f64 base))) |
(/.f64 1 (log.f64 base)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1) |
| ✓ | 0.3b | (/.f64 (log.f64 base) (log.f64 im)) |
Compiled 22 to 9 computations (59.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | im | @ | -inf | (/.f64 (log.f64 base) (log.f64 im)) |
| 0.0ms | base | @ | -inf | (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1) |
| 0.0ms | im | @ | -inf | (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1) |
| 0.0ms | im | @ | inf | (/.f64 (log.f64 base) (log.f64 im)) |
| 0.0ms | base | @ | inf | (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1) |
| 1× | batch-egg-rewrite |
| 1874× | add-sqr-sqrt |
| 1852× | *-un-lft-identity |
| 1722× | add-cube-cbrt |
| 1700× | add-cbrt-cube |
| 192× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 199 | 30 |
| 2 | 2387 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 base) (log.f64 im)) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 base) (/.f64 1 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 base) (log.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 base) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 im)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 im))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 base (/.f64 1 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1) (pow.f64 (/.f64 1 (log.f64 im)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 im) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 base) (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) 1) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (log.f64 im)) (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) |
| 1× | egg-herbie |
| 1364× | associate-/r* |
| 1194× | associate-+r- |
| 1012× | associate-/l* |
| 698× | unswap-sqr |
| 504× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 193 | 2398 |
| 1 | 450 | 2038 |
| 2 | 1622 | 2038 |
| 3 | 7107 | 2038 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 im)))) 1) |
(*.f64 (log.f64 base) (/.f64 1 (log.f64 im))) |
(*.f64 (/.f64 (log.f64 base) (log.f64 im)) 1) |
(*.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (log.f64 im)))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (log.f64 im)))) |
(*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)) |
(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 im)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 im))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 im)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 im))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 im))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 im)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 1) |
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) -1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3) 1/3) |
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 im)))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 2)) |
(log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1) |
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base))) |
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base))) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 im))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))) |
(*.f64 (pow.f64 (log.f64 base) -1) (pow.f64 (/.f64 1 (log.f64 im)) -1)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 im)) 1)) |
(/.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))) |
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im)))) |
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base))) |
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base)) |
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) |
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2)) |
(log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(exp.f64 (-.f64 (log.f64 (log.f64 im)) (log.f64 (log.f64 base)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 im))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 im)) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 im)) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 im)) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))) (log.f64 im)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (log.f64 im)) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 (log.f64 base) (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1))) |
(/.f64 (log.f64 base) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im)))) |
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 (log.f64 base) (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1))) |
(/.f64 (log.f64 base) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im)))) |
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 (log.f64 base) (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1))) |
(/.f64 (log.f64 base) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im)))) |
(/.f64 (log.f64 base) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 (log.f64 base) (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1))) |
(/.f64 (log.f64 base) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 im)))) 1) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (log.f64 base) (/.f64 1 (log.f64 im))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (/.f64 (log.f64 base) (log.f64 im)) 1) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (sqrt.f64 (log.f64 base)) (/.f64 1 (log.f64 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (*.f64 (cbrt.f64 (log.f64 base)) (/.f64 1 (log.f64 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (/.f64 1 (log.f64 im)) (log.f64 base)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (neg.f64 (log.f64 base)) (/.f64 1 (neg.f64 (log.f64 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) 1) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 im))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (/.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1) (/.f64 (cbrt.f64 (log.f64 base)) (log.f64 im))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (sqrt.f64 (log.f64 im))) (/.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 im)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 1) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) -1) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 3) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3) 1/3) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 2)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(log.f64 (pow.f64 base (/.f64 1 (log.f64 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im))))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) 3)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) 1)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))) |
(/.f64 (log.f64 base) (log.f64 im)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (pow.f64 (log.f64 base) -1) (pow.f64 (/.f64 1 (log.f64 im)) -1)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 -1 (neg.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 1 (/.f64 (/.f64 (log.f64 base) (log.f64 im)) 1)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(/.f64 (sqrt.f64 (log.f64 im)) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 im)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 im)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (/.f64 (log.f64 im) 1) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (cbrt.f64 (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(exp.f64 (-.f64 (log.f64 (log.f64 im)) (log.f64 (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 1 (log.f64 base)) | |
| ✓ | 0.4b | (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) |
| ✓ | 0.5b | (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
Compiled 33 to 15 computations (54.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | base | @ | -inf | (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
| 19.0ms | base | @ | 0 | (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
| 17.0ms | base | @ | inf | (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
| 2.0ms | re | @ | inf | (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) |
| 2.0ms | re | @ | 0 | (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
| 1× | batch-egg-rewrite |
| 922× | *-commutative |
| 708× | unswap-sqr |
| 552× | swap-sqr |
| 448× | sqr-pow |
| 426× | pow-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 50 |
| 1 | 233 | 44 |
| 2 | 2696 | 44 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
(pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (hypot.f64 re im) 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| 1× | egg-herbie |
| 724× | *-commutative |
| 662× | associate-*r* |
| 646× | fma-def |
| 618× | associate-/l* |
| 540× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 686 | 14744 |
| 1 | 1951 | 14744 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 1/24 (*.f64 (pow.f64 re 4) (-.f64 (*.f64 24 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4)))))) (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))))))) |
(+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 720 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/48 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))))) (+.f64 (*.f64 -360 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 30 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))))) (pow.f64 re 6))) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 1/24 (*.f64 (pow.f64 re 4) (-.f64 (*.f64 24 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4)))))) (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/24 (/.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 24 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 (log.f64 base) 2))) (*.f64 -1/4 (/.f64 (pow.f64 im 4) (log.f64 base)))))) (pow.f64 re 4))))) |
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(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
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(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base)))) |
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(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base)))) |
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(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) |
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(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (neg.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) -1) (log.f64 base)) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base)))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (*.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 (neg.f64 (log.f64 base))))) (cbrt.f64 (neg.f64 (log.f64 base)))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base))) |
(/.f64 (-.f64 0 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) (-.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))))) (-.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) (-.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)) |
(/.f64 (+.f64 0 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) (+.f64 0 (-.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2) (*.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) 3) (pow.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) 3)) (+.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (-.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) 3) (pow.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 3)) (+.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))) (-.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)))) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) -1) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 1) |
(*.f64 1 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
(*.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 1) |
(*.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) (pow.f64 1 (/.f64 1 (log.f64 base)))) |
(*.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))) (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) |
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) |
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) |
(*.f64 (pow.f64 1 (/.f64 1 (log.f64 base))) (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (/.f64 1 (log.f64 base))) (pow.f64 (cbrt.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (/.f64 1 (log.f64 base)))) |
(*.f64 (*.f64 (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (*.f64 (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2))) (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2))) (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))) (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))))) |
(*.f64 (*.f64 (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))) (*.f64 (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3) 1/6)) |
(*.f64 (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) 2)) (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (E.f64) (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))) (pow.f64 (E.f64) (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))))) |
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (/.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (/.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))) |
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -1/2)) (/.f64 (pow.f64 (log.f64 base) -1/2) 2)) (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -1/2)) (/.f64 (pow.f64 (log.f64 base) -1/2) 2))) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 2)) (pow.f64 (pow.f64 (hypot.f64 re im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 2))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 1)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 1)))) |
(sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))) |
(log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) |
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) |
(exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) |
| Outputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 1/24 (*.f64 (pow.f64 re 4) (-.f64 (*.f64 24 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4)))))) (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 1/24 (*.f64 (pow.f64 re 4) (fma.f64 24 (-.f64 (/.f64 1/8 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4)))) (neg.f64 (/.f64 3 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))))))))) |
(+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 720 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 1/48 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6)))))) (+.f64 (*.f64 -360 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4))))) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 30 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 im 6)))))) (pow.f64 re 6))) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 1/24 (*.f64 (pow.f64 re 4) (-.f64 (*.f64 24 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))) (*.f64 1/4 (/.f64 1 (*.f64 (log.f64 base) (pow.f64 im 4)))))) (*.f64 3 (/.f64 1 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))))))))) |
(fma.f64 1/720 (*.f64 (fma.f64 720 (+.f64 (/.f64 1/6 (*.f64 (log.f64 base) (pow.f64 im 6))) (-.f64 (/.f64 1/48 (*.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))) (/.f64 1/8 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 6))))) (fma.f64 -360 (/.f64 (-.f64 (/.f64 1/8 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 (log.f64 base) (*.f64 im im))) (/.f64 30 (*.f64 (pow.f64 im 6) (pow.f64 (log.f64 base) 3))))) (pow.f64 re 6)) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (log.f64 base) (*.f64 im im))) (*.f64 1/24 (*.f64 (pow.f64 re 4) (fma.f64 24 (-.f64 (/.f64 1/8 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4))) (/.f64 1/4 (*.f64 (log.f64 base) (pow.f64 im 4)))) (neg.f64 (/.f64 3 (*.f64 (pow.f64 (log.f64 base) 2) (pow.f64 im 4)))))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (log.f64 base) (*.f64 re re))))) |
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(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) -1) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 1) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 1 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 1) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) (pow.f64 1 (/.f64 1 (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))) (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (pow.f64 1 (/.f64 1 (log.f64 base))) (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (/.f64 1 (log.f64 base))) (pow.f64 (cbrt.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (/.f64 1 (log.f64 base)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (/.f64 1 (log.f64 base))) (pow.f64 (cbrt.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base)))) |
(*.f64 (*.f64 (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (*.f64 (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))))) |
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2))) (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2))) (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)))) |
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))) (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))))) |
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))))) |
(*.f64 (*.f64 (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))) (*.f64 (pow.f64 (hypot.f64 re im) (*.f64 (/.f64 1/2 (log.f64 base)) 1/2)) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))))) |
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))) (*.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (pow.f64 (sqrt.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base))))) (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base)))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) 3/2)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3) 1/6)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) 2)) (pow.f64 (exp.f64 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) 2))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (pow.f64 (E.f64) (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base)))) (pow.f64 (E.f64) (*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1/2 (log.f64 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (/.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (/.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -1/2)) (/.f64 (pow.f64 (log.f64 base) -1/2) 2)) (pow.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) -1/2)) (/.f64 (pow.f64 (log.f64 base) -1/2) 2))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 2)) (pow.f64 (pow.f64 (hypot.f64 re im) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 2))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 1)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) 1)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(sqrt.f64 (pow.f64 (hypot.f64 re im) (/.f64 2 (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))) 3)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re))))) |
| ✓ | 0.3b | (*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))) |
| 0.5b | (pow.f64 (log.f64 base) -2) |
Compiled 46 to 30 computations (34.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | re | @ | -inf | (*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))) |
| 16.0ms | re | @ | 0 | (*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))) |
| 11.0ms | base | @ | 0 | (*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))) |
| 7.0ms | re | @ | inf | (*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))) |
| 1.0ms | base | @ | -inf | (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re))))) |
| 1× | batch-egg-rewrite |
| 1122× | *-commutative |
| 1014× | unswap-sqr |
| 666× | swap-sqr |
| 522× | distribute-lft-in |
| 516× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 66 |
| 1 | 287 | 44 |
| 2 | 3467 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))) |
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re))))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 base (log.f64 re)) 1)))))) |
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| 1× | egg-herbie |
| 1182× | associate-/l* |
| 1146× | distribute-lft-in |
| 982× | distribute-rgt-in |
| 898× | unswap-sqr |
| 890× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 298 | 4935 |
| 1 | 832 | 4445 |
| 2 | 2594 | 4413 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(*.f64 (log.f64 (/.f64 1 base)) (log.f64 (/.f64 -1 re))) |
(*.f64 (log.f64 (/.f64 1 base)) (log.f64 (/.f64 -1 re))) |
(*.f64 (log.f64 (/.f64 1 base)) (log.f64 (/.f64 -1 re))) |
(*.f64 (log.f64 (/.f64 1 base)) (log.f64 (/.f64 -1 re))) |
(*.f64 -1 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (*.f64 (log.f64 base) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))))) |
(*.f64 -1 (*.f64 (log.f64 base) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))))) |
(*.f64 -1 (*.f64 (log.f64 base) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))))) |
(*.f64 -1 (*.f64 (log.f64 base) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))))) |
(*.f64 -1 (*.f64 (log.f64 base) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))))) |
(*.f64 -1 (*.f64 (log.f64 base) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))))) |
(*.f64 -1 (*.f64 (log.f64 base) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))))) |
(*.f64 -1 (*.f64 (log.f64 base) (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base))) |
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base))) |
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base))) |
(/.f64 (log.f64 (/.f64 -1 re)) (log.f64 (/.f64 1 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) |
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 base))) |
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 base))) |
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 base))) |
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 re))) (log.f64 base))) |
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) (log.f64 base))) |
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) (log.f64 base))) |
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) (log.f64 base))) |
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 1 re))) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(+.f64 0 (*.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 (log.f64 re) -2) (*.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 re))))) 1) |
(+.f64 (*.f64 (log.f64 base) (log.f64 -1)) (*.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 (log.f64 base) (log.f64 (sqrt.f64 re))) (*.f64 (log.f64 base) (log.f64 (sqrt.f64 re)))) |
(+.f64 (*.f64 (log.f64 base) (log.f64 (pow.f64 (cbrt.f64 re) 2))) (*.f64 (log.f64 base) (log.f64 (cbrt.f64 re)))) |
(+.f64 (*.f64 (log.f64 base) (-.f64 0 (log.f64 -1))) (*.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 (log.f64 re) (log.f64 (sqrt.f64 base))) (*.f64 (log.f64 re) (log.f64 (sqrt.f64 base)))) |
(+.f64 (*.f64 (log.f64 re) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 (log.f64 re) (log.f64 (cbrt.f64 base)))) |
(+.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 -1)) (*.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 (neg.f64 (log.f64 base)) 0) (*.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 re))) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (sqrt.f64 re)))) |
(+.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 re) 2))) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (cbrt.f64 re)))) |
(+.f64 (*.f64 (neg.f64 (log.f64 base)) (-.f64 0 (log.f64 -1))) (*.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 (log.f64 -1) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 0 (log.f64 base)) (*.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 re)) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 re)) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 re) 2)) (log.f64 base)) (*.f64 (log.f64 (cbrt.f64 re)) (log.f64 base))) |
(+.f64 (*.f64 (-.f64 0 (log.f64 -1)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 re)) (*.f64 (log.f64 (sqrt.f64 base)) (log.f64 re))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (log.f64 re)) (*.f64 (log.f64 (cbrt.f64 base)) (log.f64 re))) |
(+.f64 (*.f64 (log.f64 -1) (neg.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 0 (neg.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 re)) (neg.f64 (log.f64 base))) (*.f64 (log.f64 (sqrt.f64 re)) (neg.f64 (log.f64 base)))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 re) 2)) (neg.f64 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 re)) (neg.f64 (log.f64 base)))) |
(+.f64 (*.f64 (-.f64 0 (log.f64 -1)) (neg.f64 (log.f64 base))) (*.f64 (log.f64 base) (log.f64 re))) |
(-.f64 0 (*.f64 (log.f64 base) (log.f64 re))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 re)))) 1) |
(/.f64 (*.f64 (log.f64 base) (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1)))) (log.f64 re)) |
(/.f64 (*.f64 (log.f64 base) (+.f64 (pow.f64 (log.f64 re) 2) 0)) (log.f64 re)) |
(/.f64 (*.f64 (log.f64 base) (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 re) 3))) (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1)))) |
(/.f64 (*.f64 (log.f64 base) (+.f64 0 (pow.f64 (log.f64 re) 3))) (+.f64 (pow.f64 (log.f64 re) 2) 0)) |
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1)))) (log.f64 re)) |
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (+.f64 (pow.f64 (log.f64 re) 2) 0)) (log.f64 re)) |
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 re) 3))) (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1)))) |
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (+.f64 0 (pow.f64 (log.f64 re) 3))) (+.f64 (pow.f64 (log.f64 re) 2) 0)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1))) (log.f64 base)) (log.f64 re)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 re) 2) 0) (log.f64 base)) (log.f64 re)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 re) 3)) (log.f64 base)) (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1)))) |
(/.f64 (*.f64 (+.f64 0 (pow.f64 (log.f64 re) 3)) (log.f64 base)) (+.f64 (pow.f64 (log.f64 re) 2) 0)) |
(pow.f64 (*.f64 (log.f64 base) (log.f64 re)) 1) |
(pow.f64 (sqrt.f64 (*.f64 (log.f64 base) (log.f64 re))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (log.f64 base) (log.f64 re))) 3) |
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 re)) 3) 1/3) |
(neg.f64 (*.f64 (log.f64 base) (log.f64 re))) |
(sqrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 re)) 2)) |
(log.f64 (pow.f64 base (log.f64 re))) |
(log.f64 (-.f64 (+.f64 1 (pow.f64 base (log.f64 re))) 1)) |
(cbrt.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 re)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (log.f64 re) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (log.f64 base) (log.f64 re)))) |
(exp.f64 (log.f64 (*.f64 (log.f64 base) (log.f64 re)))) |
(log1p.f64 (-.f64 (pow.f64 base (log.f64 re)) 1)) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 -1)) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 re))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 re)))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 re) 2))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 re)))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (-.f64 0 (log.f64 -1))) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 (*.f64 (log.f64 re) (pow.f64 (log.f64 base) -2)) 0) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 (*.f64 (log.f64 re) (pow.f64 (log.f64 base) -2)) (log.f64 (sqrt.f64 base))) (*.f64 (*.f64 (log.f64 re) (pow.f64 (log.f64 base) -2)) (log.f64 (sqrt.f64 base)))) |
(+.f64 (*.f64 (*.f64 (log.f64 re) (pow.f64 (log.f64 base) -2)) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 (*.f64 (log.f64 re) (pow.f64 (log.f64 base) -2)) (log.f64 (cbrt.f64 base)))) |
(+.f64 (*.f64 (/.f64 -1 (log.f64 base)) (log.f64 -1)) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 (/.f64 -1 (log.f64 base)) 0) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 (/.f64 -1 (log.f64 base)) (log.f64 (sqrt.f64 re))) (*.f64 (/.f64 -1 (log.f64 base)) (log.f64 (sqrt.f64 re)))) |
(+.f64 (*.f64 (/.f64 -1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 re) 2))) (*.f64 (/.f64 -1 (log.f64 base)) (log.f64 (cbrt.f64 re)))) |
(+.f64 (*.f64 (/.f64 -1 (log.f64 base)) (-.f64 0 (log.f64 -1))) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 -1) (/.f64 1 (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 re)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (sqrt.f64 re)) (/.f64 1 (log.f64 base)))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 re) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 re)) (/.f64 1 (log.f64 base)))) |
(+.f64 (*.f64 (-.f64 0 (log.f64 -1)) (/.f64 1 (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 0 (*.f64 (log.f64 re) (pow.f64 (log.f64 base) -2))) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 base)) (*.f64 (log.f64 re) (pow.f64 (log.f64 base) -2))) (*.f64 (log.f64 (sqrt.f64 base)) (*.f64 (log.f64 re) (pow.f64 (log.f64 base) -2)))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (*.f64 (log.f64 re) (pow.f64 (log.f64 base) -2))) (*.f64 (log.f64 (cbrt.f64 base)) (*.f64 (log.f64 re) (pow.f64 (log.f64 base) -2)))) |
(+.f64 (*.f64 (log.f64 -1) (/.f64 -1 (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 0 (/.f64 -1 (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 re)) (/.f64 -1 (log.f64 base))) (*.f64 (log.f64 (sqrt.f64 re)) (/.f64 -1 (log.f64 base)))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 re) 2)) (/.f64 -1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 re)) (/.f64 -1 (log.f64 base)))) |
(+.f64 (*.f64 (-.f64 0 (log.f64 -1)) (/.f64 -1 (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 re) (log.f64 base)))) 1) |
(/.f64 (log.f64 re) (log.f64 base)) |
(/.f64 (*.f64 (/.f64 1 (log.f64 base)) (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1)))) (log.f64 re)) |
(/.f64 (*.f64 (/.f64 1 (log.f64 base)) (+.f64 (pow.f64 (log.f64 re) 2) 0)) (log.f64 re)) |
(/.f64 (*.f64 (/.f64 1 (log.f64 base)) (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 re) 3))) (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1)))) |
(/.f64 (*.f64 (/.f64 1 (log.f64 base)) (+.f64 0 (pow.f64 (log.f64 re) 3))) (+.f64 (pow.f64 (log.f64 re) 2) 0)) |
(/.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 re)) (log.f64 base)) 1) (log.f64 base)) |
(/.f64 (*.f64 (/.f64 -1 (log.f64 base)) (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1)))) (log.f64 re)) |
(/.f64 (*.f64 (/.f64 -1 (log.f64 base)) (+.f64 (pow.f64 (log.f64 re) 2) 0)) (log.f64 re)) |
(/.f64 (*.f64 (/.f64 -1 (log.f64 base)) (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 re) 3))) (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1)))) |
(/.f64 (*.f64 (/.f64 -1 (log.f64 base)) (+.f64 0 (pow.f64 (log.f64 re) 3))) (+.f64 (pow.f64 (log.f64 re) 2) 0)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1))) (/.f64 1 (log.f64 base))) (log.f64 re)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 re) 2) 0) (/.f64 1 (log.f64 base))) (log.f64 re)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 re) 3)) (/.f64 1 (log.f64 base))) (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1)))) |
(/.f64 (*.f64 (+.f64 0 (pow.f64 (log.f64 re) 3)) (/.f64 1 (log.f64 base))) (+.f64 (pow.f64 (log.f64 re) 2) 0)) |
(/.f64 (*.f64 1 (/.f64 (*.f64 (log.f64 base) (log.f64 re)) (log.f64 base))) (log.f64 base)) |
(pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 3) 1/3) |
(neg.f64 (/.f64 (log.f64 re) (log.f64 base))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 2)) |
(log.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 re) (log.f64 base))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 re)) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 re) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 re) (log.f64 base)))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) |
(*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) |
(*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) |
(*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (*.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) |
(*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))) |
(*.f64 (log.f64 (/.f64 1 base)) (log.f64 (/.f64 -1 re))) |
(*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) |
(*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))) |
(*.f64 (log.f64 (/.f64 1 base)) (log.f64 (/.f64 -1 re))) |
(*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) |
(*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))) |
(*.f64 (log.f64 (/.f64 1 base)) (log.f64 (/.f64 -1 re))) |
(*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) |
(*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))) |
(*.f64 (log.f64 (/.f64 1 base)) (log.f64 (/.f64 -1 re))) |
(*.f64 (log.f64 (/.f64 -1 re)) (neg.f64 (log.f64 base))) |
(*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (/.f64 -1 re)))) |
(neg.f64 (*.f64 (log.f64 (/.f64 -1 re)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))) |
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))) (neg.f64 (log.f64 (/.f64 -1 re)))) |
(*.f64 -1 (*.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (/.f64 -1 re)))) |
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(/.f64 (*.f64 (/.f64 1 (log.f64 base)) (+.f64 (pow.f64 (log.f64 re) 2) 0)) (log.f64 re)) |
(/.f64 (pow.f64 (log.f64 re) 2) (/.f64 (log.f64 re) (/.f64 1 (log.f64 base)))) |
(/.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 base) (log.f64 re))) |
(/.f64 (*.f64 (/.f64 1 (log.f64 base)) (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 re) 3))) (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 re) 3)) (/.f64 (+.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (pow.f64 (log.f64 re) 2)) (/.f64 1 (log.f64 base)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 re) 3)) (*.f64 (log.f64 base) (fma.f64 (log.f64 -1) (log.f64 -1) (pow.f64 (log.f64 re) 2)))) |
(/.f64 (*.f64 (/.f64 1 (log.f64 base)) (+.f64 0 (pow.f64 (log.f64 re) 3))) (+.f64 (pow.f64 (log.f64 re) 2) 0)) |
(/.f64 (pow.f64 (log.f64 re) 3) (/.f64 (pow.f64 (log.f64 re) 2) (/.f64 1 (log.f64 base)))) |
(/.f64 (pow.f64 (log.f64 re) 3) (*.f64 (log.f64 base) (pow.f64 (log.f64 re) 2))) |
(/.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 re)) (log.f64 base)) 1) (log.f64 base)) |
(/.f64 (/.f64 (log.f64 base) (/.f64 (log.f64 base) (log.f64 re))) (log.f64 base)) |
(/.f64 (*.f64 (log.f64 base) (log.f64 re)) (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (log.f64 re) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base))) |
(/.f64 (*.f64 (/.f64 -1 (log.f64 base)) (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1)))) (log.f64 re)) |
(/.f64 (/.f64 -1 (log.f64 base)) (/.f64 (log.f64 re) (+.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (pow.f64 (log.f64 re) 2)))) |
(/.f64 (neg.f64 (fma.f64 (log.f64 -1) (log.f64 -1) (pow.f64 (log.f64 re) 2))) (*.f64 (log.f64 base) (log.f64 re))) |
(neg.f64 (/.f64 (fma.f64 (log.f64 -1) (log.f64 -1) (pow.f64 (log.f64 re) 2)) (*.f64 (log.f64 base) (log.f64 re)))) |
(/.f64 (*.f64 (/.f64 -1 (log.f64 base)) (+.f64 (pow.f64 (log.f64 re) 2) 0)) (log.f64 re)) |
(/.f64 (/.f64 -1 (log.f64 base)) (/.f64 (log.f64 re) (pow.f64 (log.f64 re) 2))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 re) 2)) (*.f64 (log.f64 base) (log.f64 re))) |
(/.f64 (*.f64 (/.f64 -1 (log.f64 base)) (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 re) 3))) (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 re) 3)) (/.f64 -1 (log.f64 base))) (+.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (pow.f64 (log.f64 re) 2))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 re) 3))) (*.f64 (log.f64 base) (fma.f64 (log.f64 -1) (log.f64 -1) (pow.f64 (log.f64 re) 2)))) |
(/.f64 (*.f64 (/.f64 -1 (log.f64 base)) (+.f64 0 (pow.f64 (log.f64 re) 3))) (+.f64 (pow.f64 (log.f64 re) 2) 0)) |
(/.f64 (/.f64 -1 (log.f64 base)) (/.f64 (pow.f64 (log.f64 re) 2) (pow.f64 (log.f64 re) 3))) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 re) 3)) (log.f64 base)) (pow.f64 (log.f64 re) 2)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1))) (/.f64 1 (log.f64 base))) (log.f64 re)) |
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 (log.f64 re) (+.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (pow.f64 (log.f64 re) 2)))) |
(/.f64 (fma.f64 (log.f64 -1) (log.f64 -1) (pow.f64 (log.f64 re) 2)) (*.f64 (log.f64 base) (log.f64 re))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 re) 2) 0) (/.f64 1 (log.f64 base))) (log.f64 re)) |
(/.f64 (pow.f64 (log.f64 re) 2) (/.f64 (log.f64 re) (/.f64 1 (log.f64 base)))) |
(/.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 base) (log.f64 re))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 re) 3)) (/.f64 1 (log.f64 base))) (+.f64 (pow.f64 (log.f64 re) 2) (*.f64 (log.f64 -1) (log.f64 -1)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 re) 3)) (/.f64 (+.f64 (*.f64 (log.f64 -1) (log.f64 -1)) (pow.f64 (log.f64 re) 2)) (/.f64 1 (log.f64 base)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 re) 3)) (*.f64 (log.f64 base) (fma.f64 (log.f64 -1) (log.f64 -1) (pow.f64 (log.f64 re) 2)))) |
(/.f64 (*.f64 (+.f64 0 (pow.f64 (log.f64 re) 3)) (/.f64 1 (log.f64 base))) (+.f64 (pow.f64 (log.f64 re) 2) 0)) |
(/.f64 (pow.f64 (log.f64 re) 3) (/.f64 (pow.f64 (log.f64 re) 2) (/.f64 1 (log.f64 base)))) |
(/.f64 (pow.f64 (log.f64 re) 3) (*.f64 (log.f64 base) (pow.f64 (log.f64 re) 2))) |
(/.f64 (*.f64 1 (/.f64 (*.f64 (log.f64 base) (log.f64 re)) (log.f64 base))) (log.f64 base)) |
(/.f64 (/.f64 (log.f64 base) (/.f64 (log.f64 base) (log.f64 re))) (log.f64 base)) |
(/.f64 (*.f64 (log.f64 base) (log.f64 re)) (*.f64 (log.f64 base) (log.f64 base))) |
(/.f64 (log.f64 re) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base))) |
(pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 1) |
(+.f64 0 (/.f64 (log.f64 re) (log.f64 base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 2) |
(+.f64 0 (/.f64 (log.f64 re) (log.f64 base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 re) (log.f64 base))) 3) |
(+.f64 0 (/.f64 (log.f64 re) (log.f64 base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 3) 1/3) |
(+.f64 0 (/.f64 (log.f64 re) (log.f64 base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(neg.f64 (/.f64 (log.f64 re) (log.f64 base))) |
(/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 2)) |
(fabs.f64 (/.f64 (log.f64 re) (log.f64 base))) |
(log.f64 (exp.f64 (/.f64 (log.f64 re) (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 re) (log.f64 base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 re) (log.f64 base))))) |
(+.f64 0 (/.f64 (log.f64 re) (log.f64 base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 re) (log.f64 base)) 3)) |
(+.f64 0 (/.f64 (log.f64 re) (log.f64 base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 re)) 3) (pow.f64 (pow.f64 (log.f64 base) -2) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 re) (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 re) (log.f64 base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 re) (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 re) (log.f64 base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 re) (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 re) (log.f64 base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
Compiled 24213 to 12397 computations (48.8% saved)
25 alts after pruning (19 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1015 | 9 | 1024 |
| Fresh | 6 | 10 | 16 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 1022 | 25 | 1047 |
| Status | Error | Program |
|---|---|---|
| ▶ | 29.0b | (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im))) |
| 32.6b | (/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) (*.f64 (log.f64 base) (log.f64 base))) | |
| 29.0b | (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base)) | |
| ▶ | 0.4b | (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 base)) |
| 33.1b | (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base))))) | |
| 32.6b | (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) | |
| ✓ | 0.3b | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| ✓ | 28.9b | (/.f64 (log.f64 im) (log.f64 base)) |
| 32.6b | (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))) | |
| ✓ | 0.4b | (/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
| ▶ | 28.9b | (/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
| ▶ | 0.4b | (/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
| 0.6b | (/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))) | |
| 29.1b | (-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1) | |
| ✓ | 32.6b | (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re))))) |
| 29.1b | (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 im))) | |
| ▶ | 0.4b | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) |
| ✓ | 29.0b | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
| 29.0b | (*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 im)) | |
| 32.7b | (*.f64 (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re))))) | |
| 0.4b | (*.f64 3 (/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base))) | |
| 0.8b | (*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) | |
| ✓ | 0.7b | (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
| 29.1b | (log.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) | |
| 29.1b | (cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) |
Compiled 570 to 435 computations (23.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 1 (log.f64 base)) | |
| ✓ | 0.4b | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) |
Compiled 29 to 12 computations (58.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | re | @ | inf | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) |
| 0.0ms | re | @ | -inf | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) |
| 0.0ms | im | @ | inf | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) |
| 0.0ms | im | @ | -inf | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) |
| 0.0ms | re | @ | 0 | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) |
| 1× | batch-egg-rewrite |
| 932× | *-commutative |
| 718× | unswap-sqr |
| 568× | swap-sqr |
| 472× | associate-*r/ |
| 416× | sqr-pow |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 21 |
| 1 | 228 | 21 |
| 2 | 2629 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 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3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) |
| 1× | egg-herbie |
| 1712× | associate-*r/ |
| 1226× | associate-*l/ |
| 1146× | associate-/l/ |
| 834× | associate-/r/ |
| 746× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 306 | 5744 |
| 1 | 782 | 4728 |
| 2 | 2681 | 4660 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 im 6) (*.f64 (log.f64 base) (pow.f64 re 6)))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 base) (pow.f64 im 6)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base))))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (+.f64 (*.f64 1/720 (/.f64 (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6))) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 im)) (log.f64 base)))))) |
(+.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) -1) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1) |
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im))))) |
(/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) |
(/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))))) |
(/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 (hypot.f64 re im))))) |
(/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im))))) |
(/.f64 -1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (/.f64 (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (/.f64 (/.f64 (log.f64 base) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)))) |
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base))) |
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))) |
(/.f64 (*.f64 1 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))) (cbrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 base)))) |
(/.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) -1) (cbrt.f64 (neg.f64 (log.f64 base)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (sqrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) 1) (cbrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base)))) |
(/.f64 (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) (cbrt.f64 (log.f64 base))) |
(/.f64 (*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (cbrt.f64 (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) 1) (neg.f64 (log.f64 base))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (neg.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) -1) (log.f64 base)) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (sqrt.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (log.f64 base)))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (*.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 (neg.f64 (log.f64 base))))) (cbrt.f64 (neg.f64 (log.f64 base)))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) 1) (cbrt.f64 (log.f64 base))) |
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) |
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) |
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
| Outputs |
|---|
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))))) |
(fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (*.f64 (log.f64 base) (pow.f64 im 4))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base))) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (log.f64 base))) (/.f64 (*.f64 -1/4 (pow.f64 re 4)) (*.f64 (log.f64 base) (pow.f64 im 4)))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (pow.f64 re 6) (*.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 -1/4 (/.f64 (pow.f64 re 4) (*.f64 (log.f64 base) (pow.f64 im 4))))))) |
(+.f64 (/.f64 (log.f64 im) (log.f64 base)) (fma.f64 1/6 (/.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (pow.f64 im 6)) (fma.f64 1/2 (*.f64 (/.f64 re (*.f64 im im)) (/.f64 re (log.f64 base))) (*.f64 -1/4 (/.f64 (/.f64 (pow.f64 re 4) (log.f64 base)) (pow.f64 im 4)))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))) |
(/.f64 (log.f64 re) (log.f64 base)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (log.f64 base))))) |
(-.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base))) |
(fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)) (*.f64 1/2 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (log.f64 base)))))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (-.f64 (*.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base)))) (/.f64 (neg.f64 (log.f64 re)) (log.f64 base)))) |
(fma.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (/.f64 (log.f64 re) (log.f64 base)))) |
(+.f64 (*.f64 -1/4 (/.f64 (pow.f64 im 4) (*.f64 (log.f64 base) (pow.f64 re 4)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 re)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))) (*.f64 1/720 (/.f64 (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6))) (*.f64 (log.f64 base) (pow.f64 re 6))))))) |
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(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (log.f64 base))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) 1) (sqrt.f64 (log.f64 base))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (cbrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) |
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (*.f64 (sqrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base))))) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) (sqrt.f64 (sqrt.f64 (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(/.f64 (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (*.f64 (fabs.f64 (cbrt.f64 (log.f64 base))) (sqrt.f64 (cbrt.f64 (log.f64 base))))) |
(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (log.f64 base)) (*.f64 (fabs.f64 (cbrt.f64 (log.f64 base))) (sqrt.f64 (cbrt.f64 (log.f64 base)))))) |
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) 1) (cbrt.f64 (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2))) |
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) (sqrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2))) |
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (cbrt.f64 (sqrt.f64 (log.f64 base)))) |
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 base))) (cbrt.f64 (sqrt.f64 (log.f64 base))))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (log.f64 base)))) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (sqrt.f64 (log.f64 base))))) |
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (cbrt.f64 (log.f64 base))))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 base) -2)))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2))) |
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))) (cbrt.f64 (cbrt.f64 (log.f64 base)))) |
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (cbrt.f64 (log.f64 base)))) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) 1) (+.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1)) |
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) (+.f64 1 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(neg.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 2)) |
(fabs.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(/.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
| 0.3b | (/.f64 (log.f64 base) (log.f64 im)) |
Compiled 22 to 9 computations (59.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | base | @ | inf | (/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
| 0.0ms | base | @ | -inf | (/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
| 0.0ms | im | @ | -inf | (/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
| 0.0ms | im | @ | inf | (/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
| 0.0ms | base | @ | 0 | (/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
| 1× | batch-egg-rewrite |
| 1872× | add-sqr-sqrt |
| 1856× | *-un-lft-identity |
| 1720× | add-cube-cbrt |
| 1698× | add-cbrt-cube |
| 192× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 195 | 15 |
| 2 | 2389 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 im) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 im)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) 1) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (log.f64 im)) (log.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))))))) |
| 1× | egg-herbie |
| 1440× | distribute-lft-in |
| 1158× | associate-+r+ |
| 968× | associate-+l+ |
| 708× | associate-*r/ |
| 596× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 128 | 1315 |
| 1 | 303 | 1255 |
| 2 | 1045 | 1219 |
| 3 | 4519 | 1219 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1) |
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base))) |
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base))) |
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 im)) -1)) |
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))) |
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) 1) (log.f64 im)) |
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im))) |
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (log.f64 im))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 im))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1)) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1) |
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2)) |
(log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(exp.f64 (-.f64 (log.f64 (log.f64 im)) (log.f64 (log.f64 base)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
| Outputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (log.f64 im)) -1)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 im)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) 1) (log.f64 im)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (sqrt.f64 (log.f64 im))) (sqrt.f64 (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 im)) 2)) (cbrt.f64 (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(pow.f64 (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))) 3) |
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) 1) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(pow.f64 (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))) 3) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) 1) (/.f64 (cbrt.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (sqrt.f64 (log.f64 base))) (/.f64 (cbrt.f64 (log.f64 im)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))) |
(/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(pow.f64 (/.f64 (cbrt.f64 (log.f64 im)) (cbrt.f64 (log.f64 base))) 3) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1)) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)) (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im))) 2)) (cbrt.f64 (/.f64 (log.f64 base) (log.f64 im)))) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3) |
(/.f64 (log.f64 im) (log.f64 base)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -2)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(exp.f64 (-.f64 (log.f64 (log.f64 im)) (log.f64 (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) -1)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base))) 1)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1 (log.f64 im)) |
| ✓ | 0.2b | (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im))) |
| 0.3b | (/.f64 1 (log.f64 base)) |
Compiled 27 to 15 computations (44.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | im | @ | -inf | (/.f64 1 (log.f64 im)) |
| 0.0ms | im | @ | inf | (/.f64 1 (log.f64 im)) |
| 0.0ms | im | @ | 0 | (/.f64 1 (log.f64 im)) |
| 0.0ms | base | @ | 0 | (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im))) |
| 0.0ms | im | @ | -inf | (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im))) |
| 1× | batch-egg-rewrite |
| 1182× | associate-*r/ |
| 978× | associate-/r* |
| 958× | *-commutative |
| 788× | associate-*l/ |
| 774× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 38 |
| 1 | 221 | 26 |
| 2 | 2824 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 im))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 im) 2))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 im)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (sqrt.f64 im)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 im) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 im)) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 im) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 im) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 im)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 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| 1× | egg-herbie |
| 1306× | associate-+l+ |
| 1158× | associate-/l* |
| 946× | associate-*r/ |
| 898× | associate-/r* |
| 684× | unswap-sqr |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 2913 |
| 1 | 538 | 2659 |
| 2 | 1669 | 2629 |
| 3 | 7127 | 2629 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 -1 (log.f64 (/.f64 1 im))) |
(/.f64 -1 (log.f64 (/.f64 1 im))) |
(/.f64 -1 (log.f64 (/.f64 1 im))) |
(/.f64 -1 (log.f64 (/.f64 1 im))) |
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 im) (log.f64 base))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 im))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 im)))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 im) 2))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 im)))) |
(+.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 im)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (sqrt.f64 im)) (/.f64 1 (log.f64 base)))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 im) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 im)) (/.f64 1 (log.f64 base)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1) |
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base))) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (sqrt.f64 (log.f64 im)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))) |
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 im) -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (cbrt.f64 (log.f64 im)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (log.f64 base))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(*.f64 (neg.f64 (log.f64 im)) (/.f64 -1 (log.f64 base))) |
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (log.f64 im))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (log.f64 base)) (cbrt.f64 (log.f64 im))) |
(*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) -1/2)) |
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) (sqrt.f64 (log.f64 im))) |
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 im) -2))) (cbrt.f64 (log.f64 im))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 im) -2))) (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (log.f64 im)))) |
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (log.f64 im))) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 im) -2)))) |
(*.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) -1) |
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (pow.f64 (log.f64 im) -2))) (*.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (log.f64 im)))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (log.f64 im))) (/.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (pow.f64 (log.f64 im) -2)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (sqrt.f64 (log.f64 im))) (/.f64 1 (*.f64 (pow.f64 (log.f64 im) -1/2) (cbrt.f64 (log.f64 base))))) |
(*.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 im) -1/2) (cbrt.f64 (log.f64 base)))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (sqrt.f64 (log.f64 im)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 im) -2))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 1 (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 im) -2))) 1) (cbrt.f64 (log.f64 im))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (log.f64 im))) (/.f64 1 (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 im)))) (/.f64 1 (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 im)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 im) -2))) -1) (cbrt.f64 (neg.f64 (log.f64 im)))) |
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1) |
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(neg.f64 (*.f64 1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))) |
(neg.f64 (*.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) 1)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) |
(log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 im)))) 1) |
(*.f64 1 (/.f64 1 (log.f64 im))) |
(*.f64 (/.f64 1 (log.f64 im)) 1) |
(*.f64 (pow.f64 (log.f64 im) -1/2) (pow.f64 (log.f64 im) -1/2)) |
(*.f64 (pow.f64 (log.f64 im) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (log.f64 im))))) |
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 im))) (cbrt.f64 (pow.f64 (log.f64 im) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (cbrt.f64 (/.f64 1 (log.f64 im)))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (log.f64 im))))) |
(*.f64 -1 (/.f64 -1 (log.f64 im))) |
(*.f64 (/.f64 -1 (log.f64 im)) -1) |
(*.f64 (sqrt.f64 (/.f64 -1 (log.f64 im))) (neg.f64 (sqrt.f64 (/.f64 -1 (log.f64 im))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (log.f64 im))) (cbrt.f64 (/.f64 -1 (log.f64 im)))) (neg.f64 (cbrt.f64 (/.f64 -1 (log.f64 im))))) |
(*.f64 (/.f64 -1 (sqrt.f64 (log.f64 im))) (/.f64 -1 (sqrt.f64 (log.f64 im)))) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2))) (/.f64 -1 (cbrt.f64 (log.f64 im)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) 1) (cbrt.f64 (/.f64 1 (log.f64 im)))) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 im)) -1) (pow.f64 (sqrt.f64 (log.f64 im)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 im)) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) -1) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) -1)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (log.f64 im)))) (sqrt.f64 (/.f64 -1 (log.f64 im)))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (log.f64 im))) (cbrt.f64 (/.f64 -1 (log.f64 im))))) (cbrt.f64 (/.f64 -1 (log.f64 im)))) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (log.f64 im)))) (pow.f64 (log.f64 im) -1/2)) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)))) (cbrt.f64 (/.f64 1 (log.f64 im)))) |
(pow.f64 (/.f64 1 (log.f64 im)) 1) |
(pow.f64 (pow.f64 (log.f64 im) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (log.f64 im))) 3) |
(pow.f64 (/.f64 1 (pow.f64 (log.f64 im) 3)) 1/3) |
(pow.f64 (log.f64 im) -1) |
(neg.f64 (/.f64 -1 (log.f64 im))) |
(sqrt.f64 (pow.f64 (log.f64 im) -2)) |
(log.f64 (exp.f64 (/.f64 1 (log.f64 im)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 im))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (log.f64 im) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 im)))) |
(exp.f64 (neg.f64 (log.f64 (log.f64 im)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 im)))) |
| Outputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base))))) |
(/.f64 (log.f64 im) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1)) (log.f64 base)) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1)) (log.f64 base)) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im))) (log.f64 base)) |
(/.f64 -1 (log.f64 (/.f64 1 im))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(/.f64 -1 (log.f64 (/.f64 1 im))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(/.f64 -1 (log.f64 (/.f64 1 im))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(/.f64 -1 (log.f64 (/.f64 1 im))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1))) |
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im)))) |
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1))) |
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im)))) |
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1))) |
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im)))) |
(/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 im))) (log.f64 -1))) |
(/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 im)) (log.f64 -1))) |
(/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 im)))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 im) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 im))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 im)))) |
(*.f64 2 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 im)))) |
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base))) |
(*.f64 (log.f64 (sqrt.f64 im)) (/.f64 2 (log.f64 base))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 im) 2))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 im)))) |
(*.f64 (/.f64 1 (log.f64 base)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 im))) (log.f64 (cbrt.f64 im)))) |
(*.f64 (/.f64 1 (log.f64 base)) (*.f64 3 (log.f64 (cbrt.f64 im)))) |
(*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))) |
(+.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 im) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 im)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (sqrt.f64 im)) (/.f64 1 (log.f64 base)))) |
(*.f64 2 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 im)))) |
(*.f64 2 (/.f64 (log.f64 (sqrt.f64 im)) (log.f64 base))) |
(*.f64 (log.f64 (sqrt.f64 im)) (/.f64 2 (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 im) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 im)) (/.f64 1 (log.f64 base)))) |
(*.f64 (/.f64 1 (log.f64 base)) (+.f64 (*.f64 2 (log.f64 (cbrt.f64 im))) (log.f64 (cbrt.f64 im)))) |
(*.f64 (/.f64 1 (log.f64 base)) (*.f64 3 (log.f64 (cbrt.f64 im)))) |
(*.f64 3 (/.f64 (log.f64 (cbrt.f64 im)) (log.f64 base))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) 1) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 1 (/.f64 (log.f64 im) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (sqrt.f64 (log.f64 im)) (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 im) -2)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (cbrt.f64 (log.f64 im)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(*.f64 (log.f64 im) (/.f64 1 (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (neg.f64 (log.f64 im)) (/.f64 -1 (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) (log.f64 base)) (cbrt.f64 (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (pow.f64 (log.f64 base) -1/2)) |
(*.f64 (pow.f64 (log.f64 base) -1/2) (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) (sqrt.f64 (log.f64 im))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 im) -2))) (cbrt.f64 (log.f64 im))) |
(*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (log.f64 base)))) |
(/.f64 (cbrt.f64 (log.f64 im)) (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 im) -2)))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 im) -2))) (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (log.f64 im)))) |
(*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (log.f64 base)))) |
(/.f64 (cbrt.f64 (log.f64 im)) (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 im) -2)))) |
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (log.f64 im))) (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 im) -2)))) |
(*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (log.f64 base)))) |
(/.f64 (cbrt.f64 (log.f64 im)) (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 im) -2)))) |
(*.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) -1) |
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (pow.f64 (log.f64 im) -2))) (*.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (log.f64 im)))) |
(*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (log.f64 base)))) |
(/.f64 (cbrt.f64 (log.f64 im)) (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 im) -2)))) |
(*.f64 (*.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (log.f64 im))) (/.f64 (pow.f64 (log.f64 base) -1/2) (cbrt.f64 (pow.f64 (log.f64 im) -2)))) |
(*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (log.f64 base)))) |
(/.f64 (cbrt.f64 (log.f64 im)) (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 im) -2)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (sqrt.f64 (log.f64 im))) (/.f64 1 (*.f64 (pow.f64 (log.f64 im) -1/2) (cbrt.f64 (log.f64 base))))) |
(*.f64 (*.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 im) -1/2)))) |
(/.f64 (*.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 im) -1/2))) |
(*.f64 (sqrt.f64 (log.f64 im)) (/.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))) (pow.f64 (log.f64 im) -1/2))) |
(*.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 im) -1/2) (cbrt.f64 (log.f64 base)))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (sqrt.f64 (log.f64 im)))) |
(*.f64 (*.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (/.f64 1 (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 im) -1/2)))) |
(/.f64 (*.f64 (sqrt.f64 (log.f64 im)) (cbrt.f64 (pow.f64 (log.f64 base) -2))) (*.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (log.f64 im) -1/2))) |
(*.f64 (sqrt.f64 (log.f64 im)) (/.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (log.f64 base))) (pow.f64 (log.f64 im) -1/2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 im) -2))) (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (cbrt.f64 (pow.f64 (log.f64 im) -2)))) |
(*.f64 (/.f64 (log.f64 im) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 1 (cbrt.f64 (log.f64 base)))) |
(/.f64 (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base))) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) |
(/.f64 (log.f64 im) (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 im) -2))) 1) (cbrt.f64 (log.f64 im))) |
(*.f64 (cbrt.f64 (log.f64 im)) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (log.f64 base)))) |
(/.f64 (cbrt.f64 (log.f64 im)) (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 im) -2)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 1 (log.f64 im))) (/.f64 1 (cbrt.f64 (log.f64 base)))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (log.f64 im)))) (/.f64 1 (cbrt.f64 (log.f64 base)))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) -2)) (/.f64 (log.f64 im) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 (log.f64 im)) (log.f64 base)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 im)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (*.f64 (sqrt.f64 -1) (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 im)))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 im)) (*.f64 (log.f64 base) (sqrt.f64 -1))) (sqrt.f64 (neg.f64 (log.f64 im)))) |
(*.f64 (/.f64 (/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 im) -2))) -1) (cbrt.f64 (neg.f64 (log.f64 im)))) |
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)))) (cbrt.f64 (neg.f64 (log.f64 im)))) |
(*.f64 (/.f64 1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2))) (log.f64 base))) (cbrt.f64 (neg.f64 (log.f64 im)))) |
(/.f64 (cbrt.f64 (neg.f64 (log.f64 im))) (*.f64 (log.f64 base) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2))))) |
(pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 1) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 2) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 im) (log.f64 base))) 3) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3) 1/3) |
(/.f64 (log.f64 im) (log.f64 base)) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1) |
(/.f64 (log.f64 im) (log.f64 base)) |
(neg.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(neg.f64 (*.f64 1 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(neg.f64 (*.f64 (/.f64 (log.f64 im) (neg.f64 (log.f64 base))) 1)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 2)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 (exp.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base))))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) |
(/.f64 (log.f64 im) (log.f64 base)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 im) (log.f64 base)))) |
(/.f64 (log.f64 im) (log.f64 base)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 im)))) 1) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(*.f64 1 (/.f64 1 (log.f64 im))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(*.f64 (/.f64 1 (log.f64 im)) 1) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(*.f64 (pow.f64 (log.f64 im) -1/2) (pow.f64 (log.f64 im) -1/2)) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(*.f64 (pow.f64 (log.f64 im) -1/2) (neg.f64 (/.f64 -1 (sqrt.f64 (log.f64 im))))) |
(*.f64 (pow.f64 (log.f64 im) -1/2) (/.f64 1 (sqrt.f64 (log.f64 im)))) |
(/.f64 (pow.f64 (log.f64 im) -1/2) (sqrt.f64 (log.f64 im))) |
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 im))) (cbrt.f64 (pow.f64 (log.f64 im) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (cbrt.f64 (/.f64 1 (log.f64 im)))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (cbrt.f64 (/.f64 1 (log.f64 im)))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (neg.f64 (/.f64 -1 (cbrt.f64 (log.f64 im))))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (/.f64 1 (cbrt.f64 (log.f64 im)))) |
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (cbrt.f64 (log.f64 im))) |
(*.f64 -1 (/.f64 -1 (log.f64 im))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(*.f64 (/.f64 -1 (log.f64 im)) -1) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(*.f64 (sqrt.f64 (/.f64 -1 (log.f64 im))) (neg.f64 (sqrt.f64 (/.f64 -1 (log.f64 im))))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 -1 (log.f64 im))) (cbrt.f64 (/.f64 -1 (log.f64 im)))) (neg.f64 (cbrt.f64 (/.f64 -1 (log.f64 im))))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(*.f64 (/.f64 -1 (sqrt.f64 (log.f64 im))) (/.f64 -1 (sqrt.f64 (log.f64 im)))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2))) (/.f64 -1 (cbrt.f64 (log.f64 im)))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (/.f64 1 (cbrt.f64 (log.f64 im)))) |
(/.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (cbrt.f64 (log.f64 im))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) 1) (cbrt.f64 (/.f64 1 (log.f64 im)))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (cbrt.f64 (/.f64 1 (log.f64 im)))) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 im)) -1) (pow.f64 (sqrt.f64 (log.f64 im)) -1)) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 im)) -1)) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 im)) -1) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 im)) 2) -1)) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 (log.f64 im)))) (sqrt.f64 (/.f64 -1 (log.f64 im)))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 -1 (log.f64 im))) (cbrt.f64 (/.f64 -1 (log.f64 im))))) (cbrt.f64 (/.f64 -1 (log.f64 im)))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(*.f64 (neg.f64 (/.f64 -1 (sqrt.f64 (log.f64 im)))) (pow.f64 (log.f64 im) -1/2)) |
(*.f64 (pow.f64 (log.f64 im) -1/2) (/.f64 1 (sqrt.f64 (log.f64 im)))) |
(/.f64 (pow.f64 (log.f64 im) -1/2) (sqrt.f64 (log.f64 im))) |
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)))) (cbrt.f64 (/.f64 1 (log.f64 im)))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 im) -2)) (cbrt.f64 (/.f64 1 (log.f64 im)))) |
(pow.f64 (/.f64 1 (log.f64 im)) 1) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(pow.f64 (pow.f64 (log.f64 im) -1/2) 2) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(pow.f64 (cbrt.f64 (/.f64 1 (log.f64 im))) 3) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(pow.f64 (/.f64 1 (pow.f64 (log.f64 im) 3)) 1/3) |
(cbrt.f64 (/.f64 1 (pow.f64 (log.f64 im) 3))) |
(pow.f64 (log.f64 im) -1) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(neg.f64 (/.f64 -1 (log.f64 im))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(sqrt.f64 (pow.f64 (log.f64 im) -2)) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(log.f64 (exp.f64 (/.f64 1 (log.f64 im)))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 im))))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(cbrt.f64 (/.f64 1 (pow.f64 (log.f64 im) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 im)))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(exp.f64 (neg.f64 (log.f64 (log.f64 im)))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 im)))) |
(/.f64 -1 (neg.f64 (log.f64 im))) |
(/.f64 1 (log.f64 im)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
| ✓ | 0.3b | (/.f64 1 (log.f64 (hypot.f64 re im))) |
| ✓ | 0.3b | (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) |
Compiled 42 to 17 computations (59.5% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | re | @ | inf | (/.f64 1 (log.f64 (hypot.f64 re im))) |
| 5.0ms | base | @ | inf | (/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
| 1.0ms | im | @ | inf | (/.f64 1 (log.f64 (hypot.f64 re im))) |
| 1.0ms | re | @ | -inf | (/.f64 1 (log.f64 (hypot.f64 re im))) |
| 1.0ms | im | @ | -inf | (/.f64 1 (log.f64 (hypot.f64 re im))) |
| 1× | batch-egg-rewrite |
| 1050× | *-commutative |
| 986× | associate-*r/ |
| 826× | associate-/r* |
| 676× | associate-*l/ |
| 648× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 65 |
| 1 | 254 | 59 |
| 2 | 3077 | 59 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) |
(/.f64 1 (log.f64 (hypot.f64 re im))) |
(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 0) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 (pow.f64 (cbrt.f64 base) 2))) (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base))) (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 base) 2)) (/.f64 1 (log.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (cbrt.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))) (*.f64 (log.f64 (sqrt.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (*.f64 1 (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (/.f64 -1 (neg.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 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(hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (log.f64 base))) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (log.f64 base) 1)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))) |
| 1× | egg-herbie |
| 1592× | associate-/l* |
| 1530× | associate-/r* |
| 1008× | associate-*r* |
| 872× | *-commutative |
| 834× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 944 | 20169 |
| 1 | 2573 | 19521 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 base) (log.f64 im)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (/.f64 (log.f64 base) (log.f64 im))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (*.f64 (log.f64 im) (pow.f64 im 2)))))) (pow.f64 re 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im))))) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 1 re)) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 1 re)) 2)))) (pow.f64 im 2)) (log.f64 (/.f64 1 re)))))) (pow.f64 re 6)))))) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 6)) (pow.f64 (log.f64 (/.f64 -1 re)) 3))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 90 (pow.f64 im 6)) (*.f64 30 (pow.f64 im 6)))) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 im 2)) (log.f64 (/.f64 -1 re)))))) (pow.f64 re 6))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (log.f64 (/.f64 -1 re)) 3)))) (pow.f64 re 4))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 -1 re)) 2))))))) |
(/.f64 (log.f64 base) (log.f64 re)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (/.f64 (log.f64 base) (log.f64 re))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))))) (pow.f64 im 4))) (/.f64 (log.f64 base) (log.f64 re)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 6)))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 6)))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))))) (*.f64 (log.f64 re) (pow.f64 re 2)))))) (pow.f64 im 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 3) (pow.f64 re 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 re) 2) (pow.f64 re 4))))) (pow.f64 im 4))) (/.f64 (log.f64 base) (log.f64 re))))) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3)))) (pow.f64 im 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3)))) (pow.f64 im 4))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 1 im)) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 im)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 1 im)) 2)))) (pow.f64 re 2)) (log.f64 (/.f64 1 im)))) (+.f64 (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 (log.f64 (/.f64 1 im)) 2))) (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 (log.f64 (/.f64 1 im)) 3))))) (pow.f64 im 6)))))) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))) (pow.f64 im 4))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 (/.f64 -1 im)) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 6)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 re 2) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3))) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (log.f64 (/.f64 -1 im)))) (*.f64 1/720 (/.f64 (*.f64 (log.f64 base) (+.f64 (*.f64 30 (pow.f64 re 6)) (*.f64 90 (pow.f64 re 6)))) (pow.f64 (log.f64 (/.f64 -1 im)) 2))))) (pow.f64 im 6))) (+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 -1 im)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 2))) (*.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 4)) (pow.f64 (log.f64 (/.f64 -1 im)) 3)))) (pow.f64 im 4)))))) |
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (log.f64 base) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)))))) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2))))) |
(/.f64 1 (log.f64 im)) |
(+.f64 (/.f64 1 (log.f64 im)) (*.f64 -1/2 (/.f64 (pow.f64 re 2) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2))))) |
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(/.f64 (/.f64 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im)))))) (cbrt.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) |
(/.f64 (/.f64 (neg.f64 (log.f64 base)) 1) (neg.f64 (log.f64 (hypot.f64 re im)))) |
(/.f64 (/.f64 (neg.f64 (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))))) |
(/.f64 (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (neg.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))))) |
(/.f64 (/.f64 (neg.f64 (log.f64 base)) -1) (log.f64 (hypot.f64 re im))) |
(/.f64 (/.f64 (neg.f64 (log.f64 base)) (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) |
(/.f64 (/.f64 (neg.f64 (log.f64 base)) (*.f64 (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im)))))) (cbrt.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) |
(/.f64 (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
(/.f64 (/.f64 (neg.f64 (log.f64 base)) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3) 1/3) |
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 re im)))) |
(neg.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 re im))))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 2)) |
(log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (log.f64 base) 3) (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(exp.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) 1) |
(*.f64 1 (/.f64 1 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1) |
(*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)) (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) |
(*.f64 -1 (/.f64 -1 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 -1 (log.f64 (hypot.f64 re im))) -1) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) -1) (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) -1) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) -1) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) -1)) |
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))) (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) |
(pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 1) |
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3) 1/3) |
(pow.f64 (log.f64 (hypot.f64 re im)) -1) |
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im)))))) |
(cbrt.f64 (pow.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) |
(exp.f64 (neg.f64 (log.f64 (log.f64 (hypot.f64 re im))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (log.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 (pow.f64 (log.f64 base) -1) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(+.f64 (*.f64 (pow.f64 (log.f64 base) -1) (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (*.f64 (pow.f64 (log.f64 base) -1) (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 (pow.f64 (log.f64 base) -1) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (pow.f64 (log.f64 base) -1) (log.f64 (sqrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base)))) |
(+.f64 (*.f64 0 (pow.f64 (log.f64 base) -1)) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (pow.f64 (log.f64 base) -1)) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -1))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -1)) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) -1))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1) |
(*.f64 1 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 1 (log.f64 base))) |
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) -1)) |
(*.f64 -1 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
(*.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) |
(*.f64 (pow.f64 (log.f64 base) -1) (log.f64 (hypot.f64 re im))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) 2) -1)) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 1 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 -1 (neg.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))) |
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 1 (/.f64 (log.f64 base) 1)) (log.f64 (hypot.f64 re im))) |
(*.f64 (/.f64 1 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) |
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)) |
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
| Outputs |
|---|
(/.f64 (log.f64 base) (log.f64 im)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (/.f64 (log.f64 base) (log.f64 im))) |
(fma.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 re re)) (*.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))) (/.f64 (log.f64 base) (log.f64 im))) |
(fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (/.f64 re (/.f64 (*.f64 im im) re))) (/.f64 (log.f64 base) (log.f64 im))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im)))) |
(fma.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 re re)) (*.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))) (fma.f64 -1 (*.f64 (*.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4)) (/.f64 (log.f64 base) (log.f64 im)))) |
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (/.f64 re (/.f64 (*.f64 im im) re))) (/.f64 (log.f64 base) (log.f64 im))) (*.f64 (pow.f64 re 4) (*.f64 1/4 (+.f64 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 im 4)))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6)))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6)))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (*.f64 (log.f64 im) (pow.f64 im 2)))))) (pow.f64 re 6))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 re 2)) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4)))) (*.f64 -1/4 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4))) (/.f64 (log.f64 base) (log.f64 im))))) |
(fma.f64 -1 (*.f64 (fma.f64 1/6 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 6))) (fma.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6))) (*.f64 -1/2 (/.f64 (*.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (*.f64 (log.f64 im) (*.f64 im im)))))) (pow.f64 re 6)) (fma.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (*.f64 re re)) (*.f64 (pow.f64 (log.f64 im) 2) (*.f64 im im))) (fma.f64 -1 (*.f64 (*.f64 -1/4 (+.f64 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 2) (pow.f64 im 4))))) (pow.f64 re 4)) (/.f64 (log.f64 base) (log.f64 im))))) |
(fma.f64 -1 (*.f64 (fma.f64 1/6 (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 im 6)) (fma.f64 1/8 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 6))) (/.f64 (*.f64 1/8 (+.f64 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 im 4)))) (*.f64 im (*.f64 im (log.f64 im)))))) (pow.f64 re 6)) (+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (/.f64 re (/.f64 (*.f64 im im) re))) (/.f64 (log.f64 base) (log.f64 im))) (*.f64 (pow.f64 re 4) (*.f64 1/4 (+.f64 (/.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 im) 3) (pow.f64 im 4))) (/.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 im) 2)) (pow.f64 im 4))))))) |
(*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) |
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 re))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 base) (log.f64 (/.f64 1 re)))) (*.f64 -1/2 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 2)) (*.f64 (pow.f64 re 2) (pow.f64 (log.f64 (/.f64 1 re)) 2))))) |
(fma.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (*.f64 -1/2 (/.f64 (log.f64 base) (/.f64 (*.f64 (*.f64 re re) (pow.f64 (neg.f64 (log.f64 re)) 2)) (*.f64 im im))))) |
(fma.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (*.f64 -1/2 (/.f64 (log.f64 base) (/.f64 (pow.f64 (neg.f64 (log.f64 re)) 2) (/.f64 (*.f64 im im) (*.f64 re re)))))) |
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(fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (neg.f64 (log.f64 re)) 3)) (*.f64 -1/4 (/.f64 (*.f64 (log.f64 base) (pow.f64 im 4)) (pow.f64 (neg.f64 (log.f64 re)) 2)))) (pow.f64 re 4)) (fma.f64 -1 (/.f64 (log.f64 base) (neg.f64 (log.f64 re))) (*.f64 -1/2 (/.f64 (log.f64 base) (/.f64 (*.f64 (*.f64 re re) (pow.f64 (neg.f64 (log.f64 re)) 2)) (*.f64 im im)))))) |
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(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 1 (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
(/.f64 (*.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (/.f64 (log.f64 base) (sqrt.f64 (log.f64 (hypot.f64 re im))))) |
(/.f64 1 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) -2) (/.f64 1 (log.f64 base)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (sqrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 -1 (neg.f64 (log.f64 base))) (log.f64 (hypot.f64 re im))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (*.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -1/2) (log.f64 base)))) |
(/.f64 (*.f64 1 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 (hypot.f64 re im)) -1/2))) |
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 1 (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(/.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) -2)))) |
(*.f64 (/.f64 (/.f64 1 (log.f64 base)) -1) (neg.f64 (log.f64 (hypot.f64 re im)))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (log.f64 base)))) |
(*.f64 (/.f64 1 (/.f64 (log.f64 base) 1)) (log.f64 (hypot.f64 re im))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(*.f64 (/.f64 1 (/.f64 (log.f64 base) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) |
(*.f64 (/.f64 1 (log.f64 base)) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2))) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 1) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -2)) |
(log.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log.f64 (cbrt.f64 (hypot.f64 re im))) |
| ✓ | 0.3b | (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
| ✓ | 0.3b | (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 base)) |
| ✓ | 0.6b | (cbrt.f64 (hypot.f64 re im)) |
Compiled 38 to 13 computations (65.8% saved)
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | re | @ | -inf | (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
| 14.0ms | base | @ | 0 | (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 base)) |
| 1.0ms | re | @ | 0 | (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 base)) |
| 1.0ms | im | @ | 0 | (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 base)) |
| 1.0ms | im | @ | inf | (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 base)) |
| 1× | batch-egg-rewrite |
| 1140× | associate-/r* |
| 946× | associate-/l* |
| 920× | associate-*r/ |
| 778× | associate-*l/ |
| 408× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 78 |
| 1 | 254 | 58 |
| 2 | 3123 | 58 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (hypot.f64 re im)) |
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 base)) |
(*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) 1/6) (pow.f64 (hypot.f64 re im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 1/3) (pow.f64 (sqrt.f64 (hypot.f64 re im)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 re im) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 re im)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) (/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (sqrt.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 3 (log.f64 base)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (*.f64 (/.f64 3 (log.f64 base)) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 3 (log.f64 base)) (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (*.f64 (/.f64 3 (log.f64 base)) (log.f64 (pow.f64 (hypot.f64 re im) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 3 (log.f64 base)) 0) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) (/.f64 3 (log.f64 base))) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) (/.f64 3 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) (/.f64 3 (log.f64 base))) (*.f64 (log.f64 (pow.f64 (hypot.f64 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(log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2) (*.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) (/.f64 1 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (/.f64 -1 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (log.f64 (hypot.f64 re im)) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))) (/.f64 3 (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (log.f64 base)) (log.f64 (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 base)) (neg.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (sqrt.f64 (log.f64 base))) (/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (sqrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (pow.f64 (cbrt.f64 (log.f64 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| 1× | egg-herbie |
| 784× | associate-+r+ |
| 780× | associate-/l/ |
| 730× | associate-*r* |
| 692× | associate-/r/ |
| 672× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 494 | 6736 |
| 1 | 1240 | 5872 |
| 2 | 4925 | 5872 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 im 1/3) |
(+.f64 (pow.f64 im 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 im 5)) 1/3) (pow.f64 re 2)))) |
(+.f64 (pow.f64 im 1/3) (+.f64 (*.f64 -5/72 (*.f64 (pow.f64 (/.f64 1 (pow.f64 im 11)) 1/3) (pow.f64 re 4))) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 im 5)) 1/3) (pow.f64 re 2))))) |
(+.f64 (pow.f64 im 1/3) (+.f64 (*.f64 -5/72 (*.f64 (pow.f64 (/.f64 1 (pow.f64 im 11)) 1/3) (pow.f64 re 4))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 im 5)) 1/3) (pow.f64 re 2))) (*.f64 55/1296 (*.f64 (pow.f64 (/.f64 1 (pow.f64 im 17)) 1/3) (pow.f64 re 6)))))) |
(pow.f64 re 1/3) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 re 5)) 1/3) (pow.f64 im 2))) (pow.f64 re 1/3)) |
(+.f64 (*.f64 -5/72 (*.f64 (pow.f64 (/.f64 1 (pow.f64 re 11)) 1/3) (pow.f64 im 4))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 re 5)) 1/3) (pow.f64 im 2))) (pow.f64 re 1/3))) |
(+.f64 (*.f64 55/1296 (*.f64 (pow.f64 (/.f64 1 (pow.f64 re 17)) 1/3) (pow.f64 im 6))) (+.f64 (*.f64 -5/72 (*.f64 (pow.f64 (/.f64 1 (pow.f64 re 11)) 1/3) (pow.f64 im 4))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 re 5)) 1/3) (pow.f64 im 2))) (pow.f64 re 1/3)))) |
(*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 4)))) (*.f64 5/3 (/.f64 1 (pow.f64 im 4)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base))))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 4)))) (*.f64 5/3 (/.f64 1 (pow.f64 im 4)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (+.f64 (*.f64 95/3 (/.f64 1 (pow.f64 im 6))) (*.f64 25/3 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 6))))) (pow.f64 re 6)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))))) |
(*.f64 3 (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base))) |
(+.f64 (*.f64 3 (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(+.f64 (*.f64 3 (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 re 4)))) (*.f64 5/3 (/.f64 1 (pow.f64 re 4)))) (pow.f64 im 4)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
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(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (hypot.f64 re im)))) |
(+.f64 (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))) |
(+.f64 (*.f64 3 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (*.f64 3 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))) |
(+.f64 (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 1 (log.f64 (sqrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) 3) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) 3)) |
(+.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 3) (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 3)) |
(+.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) 1) (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 1) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) 1) |
(-.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))) 1) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))) 1) |
(pow.f64 (log.f64 (hypot.f64 re im)) 1) |
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 3) |
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) 1/3) |
(neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) |
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) |
(log.f64 (hypot.f64 re im)) |
(log.f64 (+.f64 1 (-.f64 (hypot.f64 re im) 1))) |
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) |
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)) |
(log1p.f64 (-.f64 (hypot.f64 re im) 1)) |
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 0) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))) |
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) |
(+.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) |
(+.f64 0 (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
(+.f64 0 (*.f64 (log.f64 (hypot.f64 re im)) 1/3)) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (*.f64 1 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))) |
(+.f64 (*.f64 1/3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) (*.f64 1/3 (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 1/3 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 1/3 (log.f64 (sqrt.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) 1)) |
(+.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 1) (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 1)) |
(+.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) 1/3) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 1/3)) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 1/3) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 1/3)) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) 1) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))) 1) |
(*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 1) |
(*.f64 1 (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(*.f64 1/3 (log.f64 (hypot.f64 re im))) |
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) |
(pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 1) |
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 3) |
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 1)) |
(log1p.f64 (-.f64 (cbrt.f64 (hypot.f64 re im)) 1)) |
| Outputs |
|---|
(pow.f64 im 1/3) |
(cbrt.f64 im) |
(+.f64 (pow.f64 im 1/3) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 im 5)) 1/3) (pow.f64 re 2)))) |
(+.f64 (cbrt.f64 im) (*.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 5))) (*.f64 re re)))) |
(fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 5))) (*.f64 re re)) (cbrt.f64 im)) |
(+.f64 (pow.f64 im 1/3) (+.f64 (*.f64 -5/72 (*.f64 (pow.f64 (/.f64 1 (pow.f64 im 11)) 1/3) (pow.f64 re 4))) (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 im 5)) 1/3) (pow.f64 re 2))))) |
(+.f64 (cbrt.f64 im) (fma.f64 -5/72 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 11))) (pow.f64 re 4)) (*.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 5))) (*.f64 re re))))) |
(+.f64 (fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 5))) (*.f64 re re)) (cbrt.f64 im)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 11))) (*.f64 (pow.f64 re 4) -5/72))) |
(+.f64 (pow.f64 im 1/3) (+.f64 (*.f64 -5/72 (*.f64 (pow.f64 (/.f64 1 (pow.f64 im 11)) 1/3) (pow.f64 re 4))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 im 5)) 1/3) (pow.f64 re 2))) (*.f64 55/1296 (*.f64 (pow.f64 (/.f64 1 (pow.f64 im 17)) 1/3) (pow.f64 re 6)))))) |
(+.f64 (cbrt.f64 im) (fma.f64 -5/72 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 11))) (pow.f64 re 4)) (fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 5))) (*.f64 re re)) (*.f64 55/1296 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 17))) (pow.f64 re 6)))))) |
(+.f64 (cbrt.f64 im) (fma.f64 -5/72 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 11))) (pow.f64 re 4)) (fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 5))) (*.f64 re re)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 im 17))) (*.f64 (pow.f64 re 6) 55/1296))))) |
(pow.f64 re 1/3) |
(cbrt.f64 re) |
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 re 5)) 1/3) (pow.f64 im 2))) (pow.f64 re 1/3)) |
(fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 5))) (*.f64 im im)) (cbrt.f64 re)) |
(fma.f64 1/6 (*.f64 im (*.f64 im (cbrt.f64 (/.f64 1 (pow.f64 re 5))))) (cbrt.f64 re)) |
(+.f64 (*.f64 -5/72 (*.f64 (pow.f64 (/.f64 1 (pow.f64 re 11)) 1/3) (pow.f64 im 4))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 re 5)) 1/3) (pow.f64 im 2))) (pow.f64 re 1/3))) |
(fma.f64 -5/72 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 11))) (pow.f64 im 4)) (fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 5))) (*.f64 im im)) (cbrt.f64 re))) |
(fma.f64 -5/72 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 11))) (pow.f64 im 4)) (fma.f64 1/6 (*.f64 im (*.f64 im (cbrt.f64 (/.f64 1 (pow.f64 re 5))))) (cbrt.f64 re))) |
(+.f64 (*.f64 55/1296 (*.f64 (pow.f64 (/.f64 1 (pow.f64 re 17)) 1/3) (pow.f64 im 6))) (+.f64 (*.f64 -5/72 (*.f64 (pow.f64 (/.f64 1 (pow.f64 re 11)) 1/3) (pow.f64 im 4))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 re 5)) 1/3) (pow.f64 im 2))) (pow.f64 re 1/3)))) |
(fma.f64 55/1296 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 17))) (pow.f64 im 6)) (fma.f64 -5/72 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 11))) (pow.f64 im 4)) (fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 5))) (*.f64 im im)) (cbrt.f64 re)))) |
(fma.f64 55/1296 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 17))) (pow.f64 im 6)) (fma.f64 -5/72 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 re 11))) (pow.f64 im 4)) (fma.f64 1/6 (*.f64 im (*.f64 im (cbrt.f64 (/.f64 1 (pow.f64 re 5))))) (cbrt.f64 re)))) |
(*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base))) |
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 im))) (log.f64 base)) |
(/.f64 (*.f64 1 (log.f64 im)) (log.f64 base)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))) |
(fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (/.f64 (*.f64 3 (log.f64 (cbrt.f64 im))) (log.f64 base))) |
(fma.f64 1/2 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (/.f64 (*.f64 1 (log.f64 im)) (log.f64 base))) |
(fma.f64 1/2 (/.f64 re (*.f64 (*.f64 im im) (/.f64 (log.f64 base) re))) (/.f64 (*.f64 1 (log.f64 im)) (log.f64 base))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 4)))) (*.f64 5/3 (/.f64 1 (pow.f64 im 4)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base))))) |
(fma.f64 1/8 (/.f64 (-.f64 (*.f64 -1/3 (/.f64 1 (pow.f64 im 4))) (/.f64 5/3 (pow.f64 im 4))) (/.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (/.f64 (*.f64 3 (log.f64 (cbrt.f64 im))) (log.f64 base)))) |
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 im 4)) -2) (log.f64 base)) (pow.f64 re 4)) (fma.f64 1/2 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (/.f64 (*.f64 1 (log.f64 im)) (log.f64 base)))) |
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 im 4)) -2) (log.f64 base)) (pow.f64 re 4)) (fma.f64 1/2 (/.f64 re (*.f64 (*.f64 im im) (/.f64 (log.f64 base) re))) (/.f64 (*.f64 1 (log.f64 im)) (log.f64 base)))) |
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 4)))) (*.f64 5/3 (/.f64 1 (pow.f64 im 4)))) (pow.f64 re 4)) (log.f64 base))) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (+.f64 (*.f64 95/3 (/.f64 1 (pow.f64 im 6))) (*.f64 25/3 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 im 6))))) (pow.f64 re 6)) (log.f64 base))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) (*.f64 (log.f64 base) (pow.f64 im 2)))) (*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base)))))) |
(fma.f64 1/8 (/.f64 (-.f64 (*.f64 -1/3 (/.f64 1 (pow.f64 im 4))) (/.f64 5/3 (pow.f64 im 4))) (/.f64 (log.f64 base) (pow.f64 re 4))) (fma.f64 1/240 (/.f64 (fma.f64 25/3 (/.f64 1 (pow.f64 im 6)) (/.f64 95/3 (pow.f64 im 6))) (/.f64 (log.f64 base) (pow.f64 re 6))) (fma.f64 1/2 (/.f64 (/.f64 (*.f64 re re) (log.f64 base)) (*.f64 im im)) (/.f64 (*.f64 3 (log.f64 (cbrt.f64 im))) (log.f64 base))))) |
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 im 4)) -2) (log.f64 base)) (pow.f64 re 4)) (fma.f64 1/240 (/.f64 (*.f64 (/.f64 1 (pow.f64 im 6)) 40) (/.f64 (log.f64 base) (pow.f64 re 6))) (fma.f64 1/2 (/.f64 (*.f64 (/.f64 re im) (/.f64 re im)) (log.f64 base)) (/.f64 (*.f64 1 (log.f64 im)) (log.f64 base))))) |
(fma.f64 1/8 (*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 im 4)) -2) (log.f64 base)) (pow.f64 re 4)) (fma.f64 1/240 (*.f64 (/.f64 (pow.f64 re 6) (log.f64 base)) (*.f64 (/.f64 1 (pow.f64 im 6)) 40)) (fma.f64 1/2 (/.f64 re (*.f64 (*.f64 im im) (/.f64 (log.f64 base) re))) (/.f64 (*.f64 1 (log.f64 im)) (log.f64 base))))) |
(*.f64 3 (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base))) |
(*.f64 3 (/.f64 (log.f64 (cbrt.f64 re)) (log.f64 base))) |
(/.f64 (*.f64 1 (log.f64 re)) (log.f64 base)) |
(+.f64 (*.f64 3 (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))) |
(fma.f64 3 (/.f64 (log.f64 (cbrt.f64 re)) (log.f64 base)) (/.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 (*.f64 re re) (log.f64 base)))) |
(fma.f64 1/2 (*.f64 (/.f64 im (*.f64 re re)) (/.f64 im (log.f64 base))) (/.f64 (*.f64 1 (log.f64 re)) (log.f64 base))) |
(+.f64 (*.f64 3 (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 re 4)))) (*.f64 5/3 (/.f64 1 (pow.f64 re 4)))) (pow.f64 im 4)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2)))))) |
(fma.f64 3 (/.f64 (log.f64 (cbrt.f64 re)) (log.f64 base)) (fma.f64 1/8 (/.f64 (-.f64 (*.f64 -1/3 (/.f64 1 (pow.f64 re 4))) (/.f64 5/3 (pow.f64 re 4))) (/.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 (*.f64 re re) (log.f64 base))))) |
(+.f64 (/.f64 (*.f64 1 (log.f64 re)) (log.f64 base)) (fma.f64 1/8 (*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 re 4)) -2) (log.f64 base)) (pow.f64 im 4)) (*.f64 (/.f64 1/2 (*.f64 re re)) (/.f64 im (/.f64 (log.f64 base) im))))) |
(+.f64 (/.f64 (*.f64 1 (log.f64 re)) (log.f64 base)) (fma.f64 1/8 (*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 re 4)) -2) (log.f64 base)) (pow.f64 im 4)) (*.f64 (/.f64 1/2 (*.f64 re re)) (*.f64 (/.f64 im (log.f64 base)) im)))) |
(+.f64 (*.f64 3 (/.f64 (log.f64 (pow.f64 re 1/3)) (log.f64 base))) (+.f64 (*.f64 1/240 (/.f64 (*.f64 (+.f64 (*.f64 95/3 (/.f64 1 (pow.f64 re 6))) (*.f64 25/3 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 re 6))))) (pow.f64 im 6)) (log.f64 base))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (-.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 re 4)))) (*.f64 5/3 (/.f64 1 (pow.f64 re 4)))) (pow.f64 im 4)) (log.f64 base))) (*.f64 1/2 (/.f64 (pow.f64 im 2) (*.f64 (log.f64 base) (pow.f64 re 2))))))) |
(fma.f64 3 (/.f64 (log.f64 (cbrt.f64 re)) (log.f64 base)) (fma.f64 1/240 (/.f64 (+.f64 (/.f64 95/3 (pow.f64 re 6)) (*.f64 25/3 (/.f64 1 (pow.f64 re 6)))) (/.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/8 (/.f64 (-.f64 (*.f64 -1/3 (/.f64 1 (pow.f64 re 4))) (/.f64 5/3 (pow.f64 re 4))) (/.f64 (log.f64 base) (pow.f64 im 4))) (/.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 (*.f64 re re) (log.f64 base)))))) |
(+.f64 (/.f64 (*.f64 1 (log.f64 re)) (log.f64 base)) (fma.f64 1/240 (/.f64 (*.f64 (/.f64 1 (pow.f64 re 6)) 40) (/.f64 (log.f64 base) (pow.f64 im 6))) (fma.f64 1/8 (*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 re 4)) -2) (log.f64 base)) (pow.f64 im 4)) (*.f64 (/.f64 1/2 (*.f64 re re)) (/.f64 im (/.f64 (log.f64 base) im)))))) |
(+.f64 (/.f64 (*.f64 1 (log.f64 re)) (log.f64 base)) (fma.f64 1/240 (*.f64 (/.f64 (pow.f64 im 6) (log.f64 base)) (*.f64 (/.f64 1 (pow.f64 re 6)) 40)) (fma.f64 1/8 (*.f64 (/.f64 (*.f64 (/.f64 1 (pow.f64 re 4)) -2) (log.f64 base)) (pow.f64 im 4)) (*.f64 (/.f64 1/2 (*.f64 re re)) (*.f64 (/.f64 im (log.f64 base)) im))))) |
(*.f64 3 (/.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 re 2) (pow.f64 im 2)) 1/6)) (log.f64 base))) |
(*.f64 3 (/.f64 (*.f64 1/6 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))) |
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(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(exp.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 1)) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(+.f64 0 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) |
(+.f64 (log.f64 (hypot.f64 re im)) 0) |
(log.f64 (hypot.f64 re im)) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) |
(+.f64 0 (log.f64 (hypot.f64 re im))) |
(log.f64 (hypot.f64 re im)) |
(+.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) (log.f64 (sqrt.f64 (hypot.f64 re im)))) |
(*.f64 2 (log.f64 (sqrt.f64 (hypot.f64 re im)))) |
(+.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))) |
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) |
(+.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) |
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) |
(+.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) 0) (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) |
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (hypot.f64 re im)))) |
(*.f64 2 (log.f64 (sqrt.f64 (hypot.f64 re im)))) |
(+.f64 (*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (*.f64 3 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))) |
(log.f64 (hypot.f64 re im)) |
(+.f64 (*.f64 3 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (*.f64 3 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))) |
(log.f64 (hypot.f64 re im)) |
(+.f64 (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 1 (log.f64 (sqrt.f64 (hypot.f64 re im))))) |
(*.f64 2 (log.f64 (sqrt.f64 (hypot.f64 re im)))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) 3) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) 3)) |
(log.f64 (hypot.f64 re im)) |
(+.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 3) (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 3)) |
(log.f64 (hypot.f64 re im)) |
(+.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) 1) (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 1) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 1)) |
(*.f64 2 (log.f64 (sqrt.f64 (hypot.f64 re im)))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) 1) |
(log.f64 (hypot.f64 re im)) |
(-.f64 (+.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))) 1) |
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (hypot.f64 re im))))) 1) |
(log.f64 (hypot.f64 re im)) |
(pow.f64 (log.f64 (hypot.f64 re im)) 1) |
(log.f64 (hypot.f64 re im)) |
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) 2) |
(log.f64 (hypot.f64 re im)) |
(pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 3) |
(log.f64 (hypot.f64 re im)) |
(pow.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3) 1/3) |
(log.f64 (hypot.f64 re im)) |
(neg.f64 (neg.f64 (log.f64 (hypot.f64 re im)))) |
(log.f64 (hypot.f64 re im)) |
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 2)) |
(fabs.f64 (log.f64 (hypot.f64 re im))) |
(log.f64 (hypot.f64 re im)) |
(log.f64 (+.f64 1 (-.f64 (hypot.f64 re im) 1))) |
(log1p.f64 (+.f64 (hypot.f64 re im) -1)) |
(log.f64 (+.f64 (hypot.f64 re im) 0)) |
(cbrt.f64 (pow.f64 (log.f64 (hypot.f64 re im)) 3)) |
(log.f64 (hypot.f64 re im)) |
(expm1.f64 (log1p.f64 (log.f64 (hypot.f64 re im)))) |
(log.f64 (hypot.f64 re im)) |
(exp.f64 (log.f64 (log.f64 (hypot.f64 re im)))) |
(log.f64 (hypot.f64 re im)) |
(exp.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 re im))) 1)) |
(log.f64 (hypot.f64 re im)) |
(log1p.f64 (-.f64 (hypot.f64 re im) 1)) |
(log1p.f64 (+.f64 (hypot.f64 re im) -1)) |
(log.f64 (+.f64 (hypot.f64 re im) 0)) |
(+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 0) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(+.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(+.f64 0 (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(+.f64 0 (*.f64 (log.f64 (hypot.f64 re im)) 1/3)) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) (*.f64 1 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(+.f64 (*.f64 1/3 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)))) (*.f64 1/3 (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(*.f64 1/3 (+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))))) |
(+.f64 (*.f64 1/3 (log.f64 (sqrt.f64 (hypot.f64 re im)))) (*.f64 1/3 (log.f64 (sqrt.f64 (hypot.f64 re im))))) |
(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 2/3) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) 1)) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 1) (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) 1/6)) 1)) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(+.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))) 1/3) (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 1/3)) |
(*.f64 1/3 (+.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2))))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 1/3) (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 1/3)) |
(*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 2/3) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) 1) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))))) 1) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 1) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(*.f64 1 (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2)) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(*.f64 1/3 (log.f64 (hypot.f64 re im))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) 1/6))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 1) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 2) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 3) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3) 1/3) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 2)) |
(fabs.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3)) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(exp.f64 (*.f64 (log.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 1)) |
(log.f64 (cbrt.f64 (hypot.f64 re im))) |
(log1p.f64 (-.f64 (cbrt.f64 (hypot.f64 re im)) 1)) |
(log1p.f64 (+.f64 (cbrt.f64 (hypot.f64 re im)) -1)) |
(log1p.f64 (+.f64 -1 (cbrt.f64 (hypot.f64 re im)))) |
Compiled 30095 to 14838 computations (50.7% saved)
26 alts after pruning (16 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1287 | 8 | 1295 |
| Fresh | 6 | 8 | 14 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 9 | 10 |
| Total | 1294 | 26 | 1320 |
| Status | Error | Program |
|---|---|---|
| ✓ | 29.0b | (/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im))) |
| 29.0b | (/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base)) | |
| 0.5b | (/.f64 (*.f64 3 (*.f64 1/3 (log.f64 (hypot.f64 re im)))) (log.f64 base)) | |
| 0.6b | (/.f64 (*.f64 3 (log.f64 (pow.f64 (hypot.f64 re im) 1/3))) (log.f64 base)) | |
| ✓ | 0.4b | (/.f64 (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 base)) |
| 32.6b | (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) | |
| ✓ | 0.3b | (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
| ✓ | 28.9b | (/.f64 (log.f64 im) (log.f64 base)) |
| 32.6b | (/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))) | |
| ✓ | 28.9b | (/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
| ✓ | 0.4b | (/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
| 32.6b | (/.f64 1 (*.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base))) | |
| 0.6b | (/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))) | |
| 29.1b | (/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im))))) | |
| 29.1b | (-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1) | |
| ✓ | 32.6b | (*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re))))) |
| 0.5b | (*.f64 (/.f64 3 (neg.f64 (log.f64 base))) (*.f64 -1/3 (log.f64 (hypot.f64 re im)))) | |
| 0.5b | (*.f64 (/.f64 1 (/.f64 (log.f64 base) 3)) (log.f64 (cbrt.f64 (hypot.f64 re im)))) | |
| ✓ | 0.4b | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) |
| ✓ | 29.0b | (*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
| 29.0b | (*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 im)) | |
| 34.0b | (*.f64 3 (/.f64 (*.f64 1/6 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))) | |
| 29.1b | (*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base))) | |
| 0.8b | (*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) | |
| ✓ | 0.7b | (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
| 29.1b | (log.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) |
Compiled 328 to 260 computations (20.7% saved)
| Inputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 im)) |
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1) |
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im))) |
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))) |
(/.f64 1 (*.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base))) |
(*.f64 3 (/.f64 (*.f64 1/6 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))) |
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) |
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 im)) -1) |
(/.f64 (*.f64 (log.f64 (cbrt.f64 im)) 3) (log.f64 base)) |
(*.f64 3 (/.f64 (log.f64 (pow.f64 im 1/3)) (log.f64 base))) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 (hypot.f64 re im))) |
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 im))))) |
(/.f64 1 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
(/.f64 1 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base))) |
(/.f64 (*.f64 3 (*.f64 1/3 (log.f64 (hypot.f64 re im)))) (log.f64 base)) |
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 (hypot.f64 re im)))) |
(*.f64 (/.f64 3 (neg.f64 (log.f64 base))) (*.f64 -1/3 (log.f64 (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 im) (log.f64 base)) 3)) |
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1 (log.f64 base)))) |
(pow.f64 (/.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) -1) |
(*.f64 3 (/.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) (log.f64 base))) |
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 im))) |
(/.f64 (*.f64 3 (log.f64 (cbrt.f64 (hypot.f64 re im)))) (log.f64 base)) |
(*.f64 2 (log.f64 (pow.f64 (hypot.f64 re im) (/.f64 1/2 (log.f64 base))))) |
(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (log.f64 (hypot.f64 re im)))))) |
(/.f64 (*.f64 3 (log.f64 (pow.f64 (hypot.f64 re im) 1/3))) (log.f64 base)) |
(/.f64 (*.f64 (log.f64 base) (log.f64 im)) (*.f64 (log.f64 base) (log.f64 base))) |
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base))) 3) |
(pow.f64 (*.f64 (/.f64 1 (log.f64 (hypot.f64 re im))) (log.f64 base)) -1) |
(*.f64 (/.f64 1 (/.f64 (log.f64 base) 3)) (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re))))) |
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re))) (*.f64 (log.f64 base) (log.f64 base))) |
(*.f64 (*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 base))) (*.f64 (log.f64 base) (neg.f64 (log.f64 (/.f64 -1 re))))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3)) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))) 2) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))) 1) |
(pow.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) 3) 1/3) |
(*.f64 (pow.f64 (log.f64 base) -2) (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))) |
(/.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) |
(*.f64 (/.f64 1 (/.f64 (pow.f64 (log.f64 base) 2) (log.f64 (hypot.f64 re im)))) (log.f64 base)) |
(/.f64 (log.f64 (hypot.f64 im re)) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))) |
(/.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base))))) |
(/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 (hypot.f64 re im))) (log.f64 base)) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
| Outputs |
|---|
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
5 calls:
| 27.0ms | (log.f64 base) |
| 26.0ms | base |
| 23.0ms | re |
| 21.0ms | im |
| 15.0ms | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) |
| Error | Segments | Branch |
|---|---|---|
| 0.3b | 1 | re |
| 0.3b | 1 | im |
| 0.3b | 1 | base |
| 0.3b | 1 | (/.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base)) (*.f64 (atan2.f64 im re) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0))) |
| 0.3b | 1 | (log.f64 base) |
Compiled 608 to 285 computations (53.1% saved)
| Inputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 im)) |
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1) |
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im))) |
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))) |
(/.f64 1 (*.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base))) |
(*.f64 3 (/.f64 (*.f64 1/6 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))) |
(log.f64 (pow.f64 im (/.f64 1 (log.f64 base)))) |
| Outputs |
|---|
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) |
(*.f64 3 (/.f64 (*.f64 1/6 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
4 calls:
| 48.0ms | base |
| 46.0ms | (log.f64 base) |
| 19.0ms | re |
| 18.0ms | im |
| Error | Segments | Branch |
|---|---|---|
| 7.7b | 3 | re |
| 5.3b | 3 | im |
| 23.4b | 8 | base |
| 23.4b | 8 | (log.f64 base) |
Compiled 126 to 79 computations (37.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 2.4413020742339797e+65 | 1.524754623190974e+68 |
| 19.0ms | 3.754577671792091e-104 | 2.458645882805233e-103 |
| 42.0ms | 224× | body | 256 | valid |
Compiled 479 to 369 computations (23% saved)
| Inputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
(*.f64 (/.f64 -1 (log.f64 (/.f64 1 base))) (log.f64 im)) |
(-.f64 (+.f64 1 (/.f64 (log.f64 im) (log.f64 base))) 1) |
(/.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (log.f64 im))) |
(/.f64 1 (/.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 -1 re)))) |
(/.f64 1 (*.f64 (/.f64 -1 (log.f64 (/.f64 -1 re))) (log.f64 base))) |
| Outputs |
|---|
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) |
(*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))) |
4 calls:
| 42.0ms | base |
| 41.0ms | (log.f64 base) |
| 17.0ms | im |
| 17.0ms | re |
| Error | Segments | Branch |
|---|---|---|
| 8.9b | 2 | re |
| 6.9b | 2 | im |
| 23.4b | 8 | base |
| 23.4b | 8 | (log.f64 base) |
Compiled 104 to 66 computations (36.5% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.8800518716884064e-90 | 2.177289911158636e-89 |
| 17.0ms | 96× | body | 256 | valid |
Compiled 187 to 151 computations (19.3% saved)
| Inputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) |
| Outputs |
|---|
(/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) |
(/.f64 (log.f64 im) (log.f64 base)) |
4 calls:
| 27.0ms | (log.f64 base) |
| 26.0ms | base |
| 11.0ms | im |
| 11.0ms | re |
| Error | Segments | Branch |
|---|---|---|
| 8.9b | 2 | re |
| 6.9b | 2 | im |
| 23.5b | 8 | base |
| 23.5b | 8 | (log.f64 base) |
Compiled 47 to 30 computations (36.2% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.8800518716884064e-90 | 2.177289911158636e-89 |
| 17.0ms | 96× | body | 256 | valid |
Compiled 163 to 127 computations (22.1% saved)
Total -0.1b remaining (-0.5%)
Threshold costs -0.1b (-0.5%)
| Inputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
(*.f64 (/.f64 1 (log.f64 base)) (log.f64 im)) |
(/.f64 1 (/.f64 (log.f64 base) (log.f64 im))) |
| Outputs |
|---|
(/.f64 (log.f64 im) (log.f64 base)) |
4 calls:
| 4.0ms | (log.f64 base) |
| 4.0ms | im |
| 3.0ms | re |
| 3.0ms | base |
| Error | Segments | Branch |
|---|---|---|
| 28.9b | 1 | re |
| 28.9b | 1 | im |
| 28.9b | 1 | base |
| 28.9b | 1 | (log.f64 base) |
Compiled 39 to 25 computations (35.9% saved)
| 1× | egg-herbie |
| 12× | *-commutative |
| 10× | +-commutative |
| 8× | sub-neg |
| 8× | neg-sub0 |
| 6× | neg-mul-1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 257 |
| 1 | 57 | 257 |
| 2 | 64 | 257 |
| 3 | 70 | 257 |
| 4 | 74 | 257 |
| 5 | 75 | 257 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(if (<=.f64 im 2420859260706477/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (if (<=.f64 im 19500000000000000336827082268491981426875547523046033400679152746496) (*.f64 3 (/.f64 (*.f64 1/6 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))) |
(if (<=.f64 im 2436842279489451/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))) |
(if (<=.f64 im 7740557828966491/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
| Outputs |
|---|
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) |
(if (<=.f64 im 2420859260706477/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (if (<=.f64 im 19500000000000000336827082268491981426875547523046033400679152746496) (*.f64 3 (/.f64 (*.f64 1/6 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))) (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))) |
(if (<=.f64 im 2420859260706477/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (if (<=.f64 im 19500000000000000336827082268491981426875547523046033400679152746496) (*.f64 3 (/.f64 (*.f64 1/6 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))) (neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base)))))) |
(if (<=.f64 im 2420859260706477/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (if (<=.f64 im 19500000000000000336827082268491981426875547523046033400679152746496) (*.f64 3 (/.f64 (*.f64 1/6 (log.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) (log.f64 base))) (/.f64 (neg.f64 (log.f64 im)) (log.f64 (/.f64 1 base))))) |
(if (<=.f64 im 2436842279489451/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (*.f64 -1 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))) |
(if (<=.f64 im 2436842279489451/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (neg.f64 (/.f64 (log.f64 im) (log.f64 (/.f64 1 base))))) |
(if (<=.f64 im 2436842279489451/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (/.f64 (neg.f64 (log.f64 im)) (log.f64 (/.f64 1 base)))) |
(if (<=.f64 im 7740557828966491/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (/.f64 (neg.f64 (log.f64 (/.f64 -1 re))) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base))) |
(/.f64 (log.f64 im) (log.f64 base)) |
Compiled 103 to 75 computations (27.2% saved)
| 1× | egg-herbie |
| 1656× | distribute-lft-in |
| 1496× | distribute-rgt-in |
| 1148× | associate-/r/ |
| 1042× | sqr-pow |
| 1034× | cube-prod |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 43 |
| 1 | 34 | 41 |
| 2 | 42 | 41 |
| 3 | 53 | 27 |
| 4 | 72 | 21 |
| 5 | 81 | 21 |
| 6 | 206 | 21 |
| 7 | 1264 | 21 |
| 8 | 2014 | 21 |
| 9 | 3312 | 21 |
| 10 | 4203 | 21 |
| 11 | 4695 | 21 |
| 12 | 5647 | 21 |
| 13 | 7659 | 21 |
| 1× | node limit |
Compiled 166 to 44 computations (73.5% saved)
(sort re im)
Compiled 111 to 68 computations (38.7% saved)
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