Time bar (total: 10.2s)
| 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 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 5 |
| 18.8% | 18.7% | 81.2% | 0.1% | 0% | 0% | 0% | 6 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 7 |
| 42.2% | 42.1% | 57.8% | 0.1% | 0% | 0% | 0% | 8 |
| 54.7% | 54.6% | 45.3% | 0.1% | 0% | 0% | 0% | 9 |
| 57.4% | 57.4% | 42.5% | 0.1% | 0% | 0% | 0% | 10 |
| 64.5% | 64.4% | 35.5% | 0.1% | 0% | 0% | 0% | 11 |
| 65.9% | 65.9% | 34% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 18 to 13 computations (27.8% saved)
| 816.0ms | 6327× | body | 256 | valid |
| 321.0ms | 661× | body | 2048 | valid |
| 291.0ms | 564× | body | 4096 | valid |
| 151.0ms | 442× | body | 1024 | valid |
| 54.0ms | 262× | body | 512 | valid |
| 2× | egg-herbie |
| 10× | fma-def_binary64 |
| 7× | *-commutative_binary64 |
| 4× | distribute-lft-in_binary64 |
| 4× | distribute-rgt-in_binary64 |
| 3× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 30 |
| 1 | 45 | 30 |
| 2 | 55 | 30 |
| 3 | 59 | 30 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) im)))) |
| Outputs |
|---|
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) im)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 im (hypot.f64 re im))))) |
Compiled 19 to 14 computations (26.3% saved)
| 1× | egg-herbie |
| 6× | fma-def_binary64 |
| 4× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 2× | distribute-lft-in_binary64 |
| 2× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 15 |
| 1 | 25 | 15 |
| 2 | 34 | 15 |
| 3 | 36 | 15 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))) |
| Outputs |
|---|
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
Compiled 27 to 19 computations (29.6% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 37.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))) |
| ▶ | 13.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
Compiled 29 to 21 computations (27.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
| ✓ | 1.4b | (+.f64 re (hypot.f64 re im)) |
Compiled 39 to 16 computations (59% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | im | @ | 0 | (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
| 1.0ms | re | @ | -inf | (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
| 1.0ms | re | @ | -inf | (+.f64 re (hypot.f64 re im)) |
| 1.0ms | re | @ | 0 | (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
| 1.0ms | im | @ | 0 | (+.f64 re (hypot.f64 re im)) |
Compiled 7940 to 6275 computations (21% saved)
| 1× | batch-egg-rewrite |
| 907× | pow1_binary64 |
| 845× | add-log-exp_binary64 |
| 844× | log1p-expm1-u_binary64 |
| 844× | expm1-log1p-u_binary64 |
| 827× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 178 | 19 |
| 2 | 2361 | 19 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 re (hypot.f64 re im)) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 re re) (-.f64 re (hypot.f64 re im))) (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (/.f64 1 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (/.f64 1 (-.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))) (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (*.f64 re re) (*.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3))) (neg.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2))) (neg.f64 (-.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 re (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 re im) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))))) |
| 1× | egg-herbie |
| 631× | fma-neg_binary64 |
| 463× | associate-*l*_binary64 |
| 414× | associate-*r*_binary64 |
| 382× | log-prod_binary64 |
| 347× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 971 |
| 1 | 289 | 824 |
| 2 | 899 | 694 |
| 3 | 4982 | 668 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(-.f64 (/.f64 (*.f64 re re) (-.f64 re (hypot.f64 re im))) (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 re (hypot.f64 re im)))) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (/.f64 1 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))) |
(*.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (/.f64 1 (-.f64 re (hypot.f64 re im)))) |
(/.f64 1 (/.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))) (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)))) |
(/.f64 1 (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (*.f64 re re) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3))) (neg.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2))) (neg.f64 (-.f64 re (hypot.f64 re im)))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(fma.f64 1 re (hypot.f64 re im)) |
(fma.f64 1 (hypot.f64 re im) re) |
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (/.f64 (*.f64 re re) (-.f64 re (hypot.f64 re im))) (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 re (hypot.f64 re im)))) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (/.f64 1 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) 1) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(*.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (/.f64 1 (-.f64 re (hypot.f64 re im)))) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 1 (/.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))) (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) 1) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 1 (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)))) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) 1) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (*.f64 re re) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) 1) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3))) (neg.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) 1) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (neg.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2))) (neg.f64 (-.f64 re (hypot.f64 re im)))) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 1 re (hypot.f64 re im)) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 1 (hypot.f64 re im) re) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im)) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
(+.f64 (+.f64 (+.f64 1 re) (hypot.f64 re im)) -1) |
(+.f64 (+.f64 re (hypot.f64 re im)) 0) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) |
| ✓ | 1.4b | (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) |
| ✓ | 29.1b | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
Compiled 77 to 19 computations (75.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | re | @ | 0 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 1.0ms | im | @ | 0 | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 1.0ms | im | @ | inf | (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
| 1.0ms | im | @ | 0 | (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) |
| 0.0ms | im | @ | inf | (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) |
Compiled 10780 to 8575 computations (20.5% saved)
| 1× | batch-egg-rewrite |
| 541× | log-prod_binary64 |
| 540× | fma-def_binary64 |
| 404× | pow-prod-down_binary64 |
| 298× | pow2_binary64 |
| 265× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 246 | 23 |
| 2 | 3420 | 23 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) |
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) |
(sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 re im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4))) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 (pow.f64 im 3) (pow.f64 re 3)) (hypot.f64 (*.f64 re re) (sqrt.f64 (-.f64 (pow.f64 im 4) (pow.f64 (*.f64 re im) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 re im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 re im)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 re im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 re im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 re im)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 im re)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 re im))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (hypot.f64 re im) re)) (/.f64 (*.f64 re re) (-.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (/.f64 1 (-.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (-.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (exp.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 re) (+.f64 1 (expm1.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (+.f64 1 (expm1.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 re im)) (+.f64 1 (expm1.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (+.f64 1 (expm1.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re 1 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 re im) 1 re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 re (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 re im) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) 2) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 re) re)) (sqrt.f64 (pow.f64 (cbrt.f64 re) 2)) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/2) (hypot.f64 re im) re))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 re 2)) (sqrt.f64 (*.f64 (hypot.f64 re im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)))))) |
| 1× | egg-herbie |
| 644× | fma-def_binary64 |
| 485× | distribute-rgt-in_binary64 |
| 433× | distribute-lft-in_binary64 |
| 350× | times-frac_binary64 |
| 201× | *-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 1349 |
| 1 | 524 | 1296 |
| 2 | 1691 | 1261 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 0 (hypot.f64 re im)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im))))) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1) |
(*.f64 (hypot.f64 re im) 1) |
(*.f64 1 (hypot.f64 re im)) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
(*.f64 (pow.f64 1 1/2) (hypot.f64 re im)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4))) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im)))) |
(/.f64 (hypot.f64 (pow.f64 im 3) (pow.f64 re 3)) (hypot.f64 (*.f64 re re) (sqrt.f64 (-.f64 (pow.f64 im 4) (pow.f64 (*.f64 re im) 2))))) |
(pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/2) |
(pow.f64 (hypot.f64 re im) 1) |
(pow.f64 (pow.f64 (hypot.f64 re im) 4) 1/4) |
(pow.f64 (pow.f64 (hypot.f64 re im) 6) 1/6) |
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 3/2) |
(pow.f64 (cbrt.f64 (hypot.f64 re im)) 3) |
(pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) |
(pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3) |
(fabs.f64 (hypot.f64 re im)) |
(log.f64 (exp.f64 (hypot.f64 re im))) |
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) |
(hypot.f64 re im) |
(hypot.f64 im re) |
(expm1.f64 (log1p.f64 (hypot.f64 re im))) |
(log1p.f64 (expm1.f64 (hypot.f64 re im))) |
(exp.f64 (log.f64 (hypot.f64 re im))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 re im))) 1/2)) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) 1)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) 1) |
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (hypot.f64 re im) re)) (/.f64 (*.f64 re re) (-.f64 (hypot.f64 re im) re))) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (/.f64 1 (-.f64 (hypot.f64 re im) re))) |
(/.f64 1 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)))) |
(/.f64 1 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(pow.f64 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) -1) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) -1) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 re (hypot.f64 re im))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (exp.f64 (hypot.f64 re im)))) |
(log.f64 (*.f64 (exp.f64 re) (+.f64 1 (expm1.f64 (hypot.f64 re im))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (+.f64 1 (expm1.f64 (hypot.f64 re im))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (exp.f64 re))) |
(log.f64 (*.f64 (exp.f64 (hypot.f64 re im)) (+.f64 1 (expm1.f64 re)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (+.f64 1 (expm1.f64 re)))) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(fma.f64 re 1 (hypot.f64 re im)) |
(fma.f64 (hypot.f64 re im) 1 re) |
(fma.f64 1 re (hypot.f64 re im)) |
(fma.f64 1 (hypot.f64 re im) re) |
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) 2) (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) re) |
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 re) re)) (sqrt.f64 (pow.f64 (cbrt.f64 re) 2)) (hypot.f64 re im)) |
(fma.f64 (pow.f64 1 1/2) (hypot.f64 re im) re) |
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4) 1/4) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3) 1/6) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2))) |
(hypot.f64 (sqrt.f64 (*.f64 re 2)) (sqrt.f64 (*.f64 (hypot.f64 re im) 2))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)) |
| Outputs |
|---|
(+.f64 0 (hypot.f64 re im)) |
(hypot.f64 re im) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))))) |
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im)))) 3) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im))))) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1) |
(hypot.f64 re im) |
(*.f64 (hypot.f64 re im) 1) |
(hypot.f64 re im) |
(*.f64 1 (hypot.f64 re im)) |
(hypot.f64 re im) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) |
(hypot.f64 re im) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(*.f64 (pow.f64 1 1/2) (hypot.f64 re im)) |
(hypot.f64 re im) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re 4) (pow.f64 im 4))) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im)))) |
(/.f64 (hypot.f64 (pow.f64 im 3) (pow.f64 re 3)) (hypot.f64 (*.f64 re re) (sqrt.f64 (-.f64 (pow.f64 im 4) (pow.f64 (*.f64 re im) 2))))) |
(pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/2) |
(hypot.f64 re im) |
(pow.f64 (hypot.f64 re im) 1) |
(hypot.f64 re im) |
(pow.f64 (pow.f64 (hypot.f64 re im) 4) 1/4) |
(pow.f64 (pow.f64 (hypot.f64 re im) 6) 1/6) |
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 3/2) |
(pow.f64 (cbrt.f64 (hypot.f64 re im)) 3) |
(hypot.f64 re im) |
(pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) |
(hypot.f64 re im) |
(pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3) |
(hypot.f64 re im) |
(fabs.f64 (hypot.f64 re im)) |
(hypot.f64 re im) |
(log.f64 (exp.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im)))) |
(hypot.f64 re im) |
(cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) |
(hypot.f64 re im) |
(hypot.f64 re im) |
(hypot.f64 im re) |
(expm1.f64 (log1p.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(log1p.f64 (expm1.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(exp.f64 (log.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 re im))) 1/2)) |
(hypot.f64 re im) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) 1)) |
(hypot.f64 re im) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) 1) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (hypot.f64 re im) re)) (/.f64 (*.f64 re re) (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (/.f64 1 (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 1 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)))) |
(*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 1 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) -1) |
(*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) -1) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 re (hypot.f64 re im))))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (exp.f64 (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (exp.f64 re) (+.f64 1 (expm1.f64 (hypot.f64 re im))))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (+.f64 1 (expm1.f64 (hypot.f64 re im))))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (exp.f64 re))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (exp.f64 (hypot.f64 re im)) (+.f64 1 (expm1.f64 re)))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (+.f64 1 (expm1.f64 re)))) |
(+.f64 re (hypot.f64 re im)) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(+.f64 re (hypot.f64 re im)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 re 1 (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (hypot.f64 re im) 1 re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 1 re (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 1 (hypot.f64 re im) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) 2) (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 re) re)) (sqrt.f64 (pow.f64 (cbrt.f64 re) 2)) (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (*.f64 re (cbrt.f64 re))) (sqrt.f64 (pow.f64 (cbrt.f64 re) 2)) (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (*.f64 re (cbrt.f64 re))) (fabs.f64 (cbrt.f64 re)) (hypot.f64 re im)) |
(fma.f64 (cbrt.f64 re) (sqrt.f64 (*.f64 re (cbrt.f64 re))) (hypot.f64 re im)) |
(fma.f64 (pow.f64 1 1/2) (hypot.f64 re im) re) |
(+.f64 re (hypot.f64 re im)) |
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/6) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/6) 3) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(*.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/6) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/6) 3) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2)) |
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4) 1/4) |
(pow.f64 (*.f64 4 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/4) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3) 1/6) |
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 8) 1/6) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3) |
(*.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/6) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/6) 3) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 3/2) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2)) |
(hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2))) |
(hypot.f64 (sqrt.f64 (*.f64 re 2)) (sqrt.f64 (*.f64 (hypot.f64 re im) 2))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
Compiled 3186 to 1768 computations (44.5% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 185 | 14 | 199 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 185 | 16 | 201 |
| Status | Error | Program |
|---|---|---|
| ▶ | 17.6b | (*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3)) |
| ▶ | 32.3b | (*.f64 1/2 (hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2)))) |
| ▶ | 13.6b | (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))) |
| 15.5b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re)))) | |
| ▶ | 14.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))))) |
| 15.0b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))) | |
| 19.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (cbrt.f64 re) (sqrt.f64 (*.f64 re (cbrt.f64 re))) (hypot.f64 re im))))) | |
| 15.2b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 3/2) re)))) | |
| 14.7b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) re)))) | |
| 15.2b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 3) re)))) | |
| 53.8b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (hypot.f64 (pow.f64 im 3) (pow.f64 re 3)) (hypot.f64 (*.f64 re re) (sqrt.f64 (-.f64 (pow.f64 im 4) (pow.f64 (*.f64 re im) 2))))) re)))) | |
| ✓ | 37.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))) |
| 18.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)))) | |
| ▶ | 46.7b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) re)))) |
| ✓ | 13.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
| 16.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))) |
Compiled 499 to 371 computations (25.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 re (hypot.f64 re im))) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
| 1.4b | (+.f64 re (hypot.f64 re im)) |
Compiled 42 to 17 computations (59.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | im | @ | 0 | (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
| 1.0ms | re | @ | 0 | (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
| 1.0ms | re | @ | -inf | (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
| 1.0ms | im | @ | inf | (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
| 1.0ms | re | @ | inf | (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
Compiled 10925 to 8660 computations (20.7% saved)
| 1× | batch-egg-rewrite |
| 923× | pow1_binary64 |
| 857× | add-log-exp_binary64 |
| 856× | log1p-expm1-u_binary64 |
| 856× | expm1-log1p-u_binary64 |
| 837× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 192 | 21 |
| 2 | 2389 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(sqrt.f64 (+.f64 re (hypot.f64 re im))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/4) (pow.f64 (+.f64 re (hypot.f64 re im)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2))) (sqrt.f64 (-.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3))) (sqrt.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re (hypot.f64 re im)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))))))) |
| 1× | egg-herbie |
| 511× | log-prod_binary64 |
| 376× | fma-def_binary64 |
| 318× | exp-sum_binary64 |
| 310× | fma-neg_binary64 |
| 290× | exp-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 672 |
| 1 | 192 | 586 |
| 2 | 580 | 504 |
| 3 | 2819 | 484 |
| 4 | 6615 | 484 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3) 1/3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3) |
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 2) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2) (*.f64 2 (sqrt.f64 2)))) |
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) 1) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1) |
(*.f64 1 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/4) (pow.f64 (+.f64 re (hypot.f64 re im)) 1/4)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 1/2)) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2))) (sqrt.f64 (-.f64 re (hypot.f64 re im)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3))) (sqrt.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1/2) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2) 1/3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) 3) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/4) 2) |
(fabs.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2)) |
(hypot.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))) |
(hypot.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3) 1/3) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3)) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2) (*.f64 2 (sqrt.f64 2)))) |
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2)))) |
(cbrt.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2) (sqrt.f64 2)))) |
(cbrt.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2))) |
(cbrt.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2)))) |
(cbrt.f64 (*.f64 2 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2) (sqrt.f64 2)))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 0) |
(sqrt.f64 (+.f64 re (hypot.f64 re im))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 0) |
(sqrt.f64 (+.f64 re (hypot.f64 re im))) |
(*.f64 1 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 0) |
(sqrt.f64 (+.f64 re (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/4) (pow.f64 (+.f64 re (hypot.f64 re im)) 1/4)) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 0) |
(sqrt.f64 (+.f64 re (hypot.f64 re im))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im)))) (sqrt.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))))) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3/2) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 0) |
(sqrt.f64 (+.f64 re (hypot.f64 re im))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im)))) (sqrt.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))))) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3/2) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2))) (sqrt.f64 (-.f64 re (hypot.f64 re im)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3))) (sqrt.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))) |
(/.f64 (hypot.f64 (pow.f64 (hypot.f64 re im) 3/2) (pow.f64 re 3/2)) (sqrt.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))) |
(/.f64 (hypot.f64 (pow.f64 re 3/2) (pow.f64 (hypot.f64 re im) 3/2)) (sqrt.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1/2) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 0) |
(sqrt.f64 (+.f64 re (hypot.f64 re im))) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 0) |
(sqrt.f64 (+.f64 re (hypot.f64 re im))) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) 3) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 0) |
(sqrt.f64 (+.f64 re (hypot.f64 re im))) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/4) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 0) |
(sqrt.f64 (+.f64 re (hypot.f64 re im))) |
(fabs.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 0) |
(sqrt.f64 (+.f64 re (hypot.f64 re im))) |
(log.f64 (exp.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 0) |
(sqrt.f64 (+.f64 re (hypot.f64 re im))) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3/2)) |
(hypot.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))) |
(hypot.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 0) |
(sqrt.f64 (+.f64 re (hypot.f64 re im))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 0) |
(sqrt.f64 (+.f64 re (hypot.f64 re im))) |
(exp.f64 (log.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))) |
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 0) |
(sqrt.f64 (+.f64 re (hypot.f64 re im))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.6b | (pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3) |
| 1.4b | (+.f64 re (hypot.f64 re im)) | |
| ✓ | 3.2b | (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
Compiled 56 to 28 computations (50% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | re | @ | -inf | (pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3) |
| 8.0ms | im | @ | 0 | (pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3) |
| 5.0ms | im | @ | 0 | (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
| 5.0ms | re | @ | inf | (pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3) |
| 4.0ms | im | @ | inf | (pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3) |
Compiled 45305 to 39725 computations (12.3% saved)
| 1× | batch-egg-rewrite |
| 506× | prod-diff_binary64 |
| 488× | log-prod_binary64 |
| 293× | pow-prod-down_binary64 |
| 287× | pow2_binary64 |
| 214× | pow-to-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1 | 250 | 25 |
| 2 | 2979 | 25 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/6) (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/12 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6) (*.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 5/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 5/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6)) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) 2)))))) |
| 1× | egg-herbie |
| 455× | exp-prod_binary64 |
| 422× | log-prod_binary64 |
| 377× | associate-/l*_binary64 |
| 348× | exp-sum_binary64 |
| 344× | sqr-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 968 |
| 1 | 254 | 927 |
| 2 | 637 | 927 |
| 3 | 1924 | 927 |
| 4 | 4775 | 927 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 0 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) 1) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 1) |
(*.f64 1 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18)) |
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6) (pow.f64 2 1/6)) |
(*.f64 (pow.f64 2 1/6) (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12)) |
(sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(log.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))) |
(cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) 1)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 3/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/3)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/12)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18)) 3)) |
(exp.f64 (*.f64 (*.f64 1/12 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 2)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/2)) |
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6) (*.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 5/12)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 5/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6)) (pow.f64 2 1/6)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3/2)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) 2)) |
| Outputs |
|---|
(+.f64 0 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) |
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))) 3) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) 1) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 1) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(*.f64 1 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6) (pow.f64 2 1/6)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(*.f64 (pow.f64 2 1/6) (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(log.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) 1)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 3/2)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3/2) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/3)) |
(cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/12)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18)) 3)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (*.f64 1/12 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 2)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/2)) |
(sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6) (*.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 5/12)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 5/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 5/12)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18)) |
(*.f64 (*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6)) (pow.f64 2 1/6)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) 1/3)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3/2)) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) 2)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (hypot.f64 re im) 3) |
| ✓ | 0.0b | (sqrt.f64 (*.f64 2 (+.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) re))) |
| ✓ | 1.4b | (+.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) re) |
| ✓ | 40.4b | (cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) |
Compiled 63 to 37 computations (41.3% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | im | @ | 0 | (+.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) re) |
| 6.0ms | im | @ | 0 | (cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) |
| 6.0ms | im | @ | 0 | (sqrt.f64 (*.f64 2 (+.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) re))) |
| 5.0ms | re | @ | -inf | (+.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) re) |
| 5.0ms | re | @ | 0 | (cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) |
Compiled 47405 to 40385 computations (14.8% saved)
| 1× | batch-egg-rewrite |
| 649× | prod-diff_binary64 |
| 463× | log-prod_binary64 |
| 302× | pow-prod-down_binary64 |
| 268× | fma-def_binary64 |
| 258× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 30 |
| 1 | 245 | 30 |
| 2 | 2801 | 30 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) |
(+.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) re) |
(sqrt.f64 (*.f64 2 (+.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) re))) |
(pow.f64 (hypot.f64 re im) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 re im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 re im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 re im)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 re im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 re im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 re im)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 im re)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 re im))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (hypot.f64 re im) re)) (/.f64 (*.f64 re re) (-.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (/.f64 1 (-.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (-.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (exp.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 re) (+.f64 1 (expm1.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (+.f64 1 (expm1.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 re im)) (+.f64 1 (expm1.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (+.f64 1 (expm1.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 re (hypot.f64 re im)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re 1 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 re im) 1 re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 re (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 re im) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) 2) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 re 2)) (sqrt.f64 (*.f64 (hypot.f64 re im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 re im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 re im) (pow.f64 (hypot.f64 re im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 re im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) 2) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) 3/2) (pow.f64 (hypot.f64 re im) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) 5/2) (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 re im) 2) 1) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) 2) (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 re im) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 re im) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 re im) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 re im))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (hypot.f64 re im))) 2)))))) |
| 1× | egg-herbie |
| 819× | fma-def_binary64 |
| 759× | fma-neg_binary64 |
| 357× | times-frac_binary64 |
| 236× | *-commutative_binary64 |
| 220× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 298 | 4294968786 |
| 1 | 644 | 1446 |
| 2 | 1996 | 1446 |
| 3 | 7229 | 1446 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 0 (hypot.f64 re im)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im))))) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1) |
(*.f64 (hypot.f64 re im) 1) |
(*.f64 1 (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im))) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
(pow.f64 (hypot.f64 re im) 1) |
(pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3) |
(pow.f64 (pow.f64 (hypot.f64 re im) 6) 1/6) |
(pow.f64 (pow.f64 (hypot.f64 re im) 9) 1/9) |
(pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/2) |
(pow.f64 (cbrt.f64 (hypot.f64 re im)) 3) |
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 3/2) |
(pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) |
(pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) |
(sqrt.f64 (pow.f64 (hypot.f64 re im) 2)) |
(log.f64 (exp.f64 (hypot.f64 re im))) |
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im)))) |
(hypot.f64 re im) |
(hypot.f64 im re) |
(expm1.f64 (log1p.f64 (hypot.f64 re im))) |
(log1p.f64 (expm1.f64 (hypot.f64 re im))) |
(exp.f64 (log.f64 (hypot.f64 re im))) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) 1)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) 1/3)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 3/2)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 re im))) 1/2)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 2)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) 1) |
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (hypot.f64 re im) re)) (/.f64 (*.f64 re re) (-.f64 (hypot.f64 re im) re))) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (/.f64 1 (-.f64 (hypot.f64 re im) re))) |
(/.f64 1 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)))) |
(/.f64 1 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(pow.f64 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) -1) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) -1) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 re (hypot.f64 re im))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (exp.f64 (hypot.f64 re im)))) |
(log.f64 (*.f64 (exp.f64 re) (+.f64 1 (expm1.f64 (hypot.f64 re im))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (+.f64 1 (expm1.f64 (hypot.f64 re im))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (exp.f64 re))) |
(log.f64 (*.f64 (exp.f64 (hypot.f64 re im)) (+.f64 1 (expm1.f64 re)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (+.f64 1 (expm1.f64 re)))) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 re (hypot.f64 re im)))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im)))) 3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) 2)) |
(fma.f64 re 1 (hypot.f64 re im)) |
(fma.f64 (hypot.f64 re im) 1 re) |
(fma.f64 1 re (hypot.f64 re im)) |
(fma.f64 1 (hypot.f64 re im) re) |
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) 2) (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) re) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 2) 1/4) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3) 1/6) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2))) |
(hypot.f64 (sqrt.f64 (*.f64 re 2)) (sqrt.f64 (*.f64 (hypot.f64 re im) 2))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/3)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) 3)) |
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 2)) |
(+.f64 0 (pow.f64 (hypot.f64 re im) 3)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) 3))) 1) |
(*.f64 (hypot.f64 re im) (pow.f64 (hypot.f64 re im) 2)) |
(*.f64 (pow.f64 (hypot.f64 re im) 3) 1) |
(*.f64 1 (pow.f64 (hypot.f64 re im) 3)) |
(*.f64 (pow.f64 (hypot.f64 re im) 2) (hypot.f64 re im)) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 5/2)) |
(*.f64 (pow.f64 (hypot.f64 re im) 3/2) (pow.f64 (hypot.f64 re im) 3/2)) |
(*.f64 (pow.f64 (hypot.f64 re im) 5/2) (sqrt.f64 (hypot.f64 re im))) |
(*.f64 (*.f64 (pow.f64 (hypot.f64 re im) 2) 1) (hypot.f64 re im)) |
(*.f64 (pow.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) 2) (cbrt.f64 (hypot.f64 re im))) |
(sqrt.f64 (pow.f64 (hypot.f64 re im) 6)) |
(log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 re im) 3)))) |
(cbrt.f64 (pow.f64 (hypot.f64 re im) 9)) |
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) 3))) |
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) 3))) |
(exp.f64 (*.f64 3 (log.f64 (hypot.f64 re im)))) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) 1)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) 9)) 1/3)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 re im))) 3/2)) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (hypot.f64 re im))) 2)) |
| Outputs |
|---|
(+.f64 0 (hypot.f64 re im)) |
(hypot.f64 re im) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))))) |
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im)))) 3) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im))))) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1) |
(hypot.f64 re im) |
(*.f64 (hypot.f64 re im) 1) |
(hypot.f64 re im) |
(*.f64 1 (hypot.f64 re im)) |
(hypot.f64 re im) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) |
(hypot.f64 re im) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(pow.f64 (hypot.f64 re im) 1) |
(hypot.f64 re im) |
(pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3) |
(hypot.f64 re im) |
(pow.f64 (pow.f64 (hypot.f64 re im) 6) 1/6) |
(pow.f64 (pow.f64 (hypot.f64 re im) 9) 1/9) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 9) 1/18) (pow.f64 (pow.f64 (hypot.f64 re im) 9) 1/18)) |
(pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/2) |
(hypot.f64 re im) |
(pow.f64 (cbrt.f64 (hypot.f64 re im)) 3) |
(hypot.f64 re im) |
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 3/2) |
(hypot.f64 re im) |
(pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) |
(hypot.f64 re im) |
(pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) |
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 1/3) (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 1/3)) |
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 3/2)) (cbrt.f64 (pow.f64 (hypot.f64 re im) 3/2))) |
(sqrt.f64 (pow.f64 (hypot.f64 re im) 2)) |
(hypot.f64 re im) |
(log.f64 (exp.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im)))) |
(hypot.f64 re im) |
(hypot.f64 re im) |
(hypot.f64 im re) |
(expm1.f64 (log1p.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(log1p.f64 (expm1.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(exp.f64 (log.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) 1)) |
(hypot.f64 re im) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) 1/3)) |
(hypot.f64 re im) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (hypot.f64 re im)))) 3/2)) |
(hypot.f64 re im) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 re im))) 1/2)) |
(hypot.f64 re im) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3)) |
(hypot.f64 re im) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) 2)) |
(hypot.f64 re im) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) 1) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (hypot.f64 re im) re)) (/.f64 (*.f64 re re) (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (/.f64 1 (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 1 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)))) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 1 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) -1) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) -1) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 re (hypot.f64 re im))))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (exp.f64 (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (exp.f64 re) (+.f64 1 (expm1.f64 (hypot.f64 re im))))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (+.f64 1 (expm1.f64 (hypot.f64 re im))))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (exp.f64 re))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (exp.f64 (hypot.f64 re im)) (+.f64 1 (expm1.f64 re)))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (+.f64 1 (expm1.f64 re)))) |
(+.f64 re (hypot.f64 re im)) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(+.f64 re (hypot.f64 re im)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 re (hypot.f64 re im)))) 1/3)) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im)))) 3)) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) 2)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 re 1 (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (hypot.f64 re im) 1 re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 1 re (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 1 (hypot.f64 re im) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) 2) (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
(+.f64 re (hypot.f64 re im)) |
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 2) 1/4) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 2) 1/4) |
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4) 1/4) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3) 1/6) |
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 8) 1/6) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 3/2) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2))) |
(hypot.f64 (sqrt.f64 (*.f64 re 2)) (sqrt.f64 (*.f64 (hypot.f64 re im) 2))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/3)) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) 3)) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 2)) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(+.f64 0 (pow.f64 (hypot.f64 re im) 3)) |
(pow.f64 (hypot.f64 re im) 3) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3))))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) 3))) 1) |
(pow.f64 (hypot.f64 re im) 3) |
(*.f64 (hypot.f64 re im) (pow.f64 (hypot.f64 re im) 2)) |
(pow.f64 (hypot.f64 re im) 3) |
(*.f64 (pow.f64 (hypot.f64 re im) 3) 1) |
(pow.f64 (hypot.f64 re im) 3) |
(*.f64 1 (pow.f64 (hypot.f64 re im) 3)) |
(pow.f64 (hypot.f64 re im) 3) |
(*.f64 (pow.f64 (hypot.f64 re im) 2) (hypot.f64 re im)) |
(pow.f64 (hypot.f64 re im) 3) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(pow.f64 (hypot.f64 re im) 3) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 5/2)) |
(*.f64 (pow.f64 (hypot.f64 re im) 3/2) (pow.f64 (hypot.f64 re im) 3/2)) |
(pow.f64 (hypot.f64 re im) 3) |
(*.f64 (pow.f64 (hypot.f64 re im) 5/2) (sqrt.f64 (hypot.f64 re im))) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 5/2)) |
(*.f64 (*.f64 (pow.f64 (hypot.f64 re im) 2) 1) (hypot.f64 re im)) |
(pow.f64 (hypot.f64 re im) 3) |
(*.f64 (pow.f64 (*.f64 (hypot.f64 re im) (cbrt.f64 (hypot.f64 re im))) 2) (cbrt.f64 (hypot.f64 re im))) |
(pow.f64 (hypot.f64 re im) 3) |
(sqrt.f64 (pow.f64 (hypot.f64 re im) 6)) |
(pow.f64 (hypot.f64 re im) 3) |
(log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) 3))) |
(pow.f64 (hypot.f64 re im) 3) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 re im) 3)))) |
(pow.f64 (hypot.f64 re im) 3) |
(cbrt.f64 (pow.f64 (hypot.f64 re im) 9)) |
(pow.f64 (hypot.f64 re im) 3) |
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) 3))) |
(pow.f64 (hypot.f64 re im) 3) |
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) 3))) |
(pow.f64 (hypot.f64 re im) 3) |
(exp.f64 (*.f64 3 (log.f64 (hypot.f64 re im)))) |
(pow.f64 (hypot.f64 re im) 3) |
(exp.f64 (*.f64 (*.f64 3 (log.f64 (hypot.f64 re im))) 1)) |
(pow.f64 (hypot.f64 re im) 3) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) 9)) 1/3)) |
(pow.f64 (hypot.f64 re im) 3) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 re im))) 3/2)) |
(pow.f64 (hypot.f64 re im) 3) |
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (hypot.f64 re im))) 2)) |
(pow.f64 (hypot.f64 re im) 3) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2))) |
Compiled 51 to 31 computations (39.2% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | im | @ | inf | (hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2))) |
| 3.0ms | im | @ | 0 | (hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2))) |
| 3.0ms | re | @ | inf | (hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2))) |
| 2.0ms | re | @ | 0 | (hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2))) |
| 1.0ms | re | @ | -inf | (hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2))) |
Compiled 11530 to 9820 computations (14.8% saved)
| 1× | batch-egg-rewrite |
| 867× | pow1_binary64 |
| 795× | add-log-exp_binary64 |
| 795× | log1p-expm1-u_binary64 |
| 795× | expm1-log1p-u_binary64 |
| 775× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 15 |
| 1 | 202 | 12 |
| 2 | 2269 | 12 |
| 1× | node limit |
| Inputs |
|---|
(hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) (cbrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))))))))) |
| 1× | egg-herbie |
| 553× | fma-neg_binary64 |
| 420× | log-prod_binary64 |
| 286× | *-commutative_binary64 |
| 276× | fma-def_binary64 |
| 274× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 306 |
| 1 | 79 | 255 |
| 2 | 335 | 204 |
| 3 | 2414 | 204 |
| 4 | 5460 | 204 |
| 5 | 7594 | 204 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) 1) |
(*.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) 1) |
(*.f64 1 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) (cbrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) |
(*.f64 (cbrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))))) |
(pow.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) 1) |
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) 3) 1/3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) 3) |
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) 2) |
(pow.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)) 1/2) |
(sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))))) |
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) 3)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) 1) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) 1) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 1 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) (cbrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (cbrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))))) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))))) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) 1) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) 3) 1/3) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) 3) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))) 2) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)) 1/2) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))))) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))) 3)) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))))) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))))) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re))))) |
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) -1) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)))) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 re) 2) |
| ✓ | 0.6b | (cbrt.f64 re) |
| ✓ | 14.6b | (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
Compiled 65 to 30 computations (53.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | im | @ | 0 | (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)))) |
| 1.0ms | re | @ | 0 | (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)))) |
| 1.0ms | re | @ | -inf | (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
| 1.0ms | im | @ | inf | (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)))) |
| 1.0ms | im | @ | 0 | (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
Compiled 12995 to 10385 computations (20.1% saved)
| 1× | batch-egg-rewrite |
| 836× | pow1_binary64 |
| 771× | add-log-exp_binary64 |
| 771× | log1p-expm1-u_binary64 |
| 771× | expm1-log1p-u_binary64 |
| 751× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 203 | 28 |
| 2 | 2225 | 28 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
(cbrt.f64 re) |
(pow.f64 (cbrt.f64 re) 2) |
(sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 re (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 re im) re)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (cbrt.f64 (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 re 1/6) (pow.f64 re 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 re (cbrt.f64 re)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 re) 1/3) (pow.f64 (sqrt.f64 re) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 re 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 re) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 re)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 re 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 re))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 re) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 re) (cbrt.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 re) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (cbrt.f64 (*.f64 re (cbrt.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (*.f64 (cbrt.f64 (cbrt.f64 re)) (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 re (cbrt.f64 re))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 re) (pow.f64 re 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 re 1/6) (*.f64 (pow.f64 re 1/6) (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)) (cbrt.f64 (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 re (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 re re))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 re)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))))) |
| 1× | egg-herbie |
| 767× | fma-def_binary64 |
| 615× | distribute-rgt-in_binary64 |
| 570× | distribute-lft-in_binary64 |
| 383× | exp-prod_binary64 |
| 335× | log-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 1002 |
| 1 | 314 | 861 |
| 2 | 1081 | 726 |
| 3 | 3826 | 685 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 re (hypot.f64 re im)) |
(+.f64 (hypot.f64 re im) re) |
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(-.f64 (+.f64 1 (cbrt.f64 re)) 1) |
(*.f64 (cbrt.f64 re) 1) |
(*.f64 1 (cbrt.f64 re)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (cbrt.f64 (cbrt.f64 re))) |
(*.f64 (cbrt.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)) |
(*.f64 (pow.f64 re 1/6) (pow.f64 re 1/6)) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 re (cbrt.f64 re)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 re)) |
(*.f64 (pow.f64 (sqrt.f64 re) 1/3) (pow.f64 (sqrt.f64 re) 1/3)) |
(pow.f64 re 1/3) |
(pow.f64 (cbrt.f64 re) 1) |
(pow.f64 (pow.f64 (cbrt.f64 re) 2) 1/2) |
(pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) |
(pow.f64 (pow.f64 re 1/6) 2) |
(sqrt.f64 (pow.f64 (cbrt.f64 re) 2)) |
(fabs.f64 (cbrt.f64 re)) |
(log.f64 (exp.f64 (cbrt.f64 re))) |
(expm1.f64 (log1p.f64 (cbrt.f64 re))) |
(log1p.f64 (expm1.f64 (cbrt.f64 re))) |
(exp.f64 (log.f64 (cbrt.f64 re))) |
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 re) 2)) 1) |
(*.f64 (cbrt.f64 re) (cbrt.f64 re)) |
(*.f64 (pow.f64 (cbrt.f64 re) 2) 1) |
(*.f64 1 (pow.f64 (cbrt.f64 re) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (cbrt.f64 (*.f64 re (cbrt.f64 re)))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (*.f64 (cbrt.f64 (cbrt.f64 re)) (cbrt.f64 re))) |
(*.f64 (cbrt.f64 (*.f64 re (cbrt.f64 re))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)) |
(*.f64 (sqrt.f64 re) (pow.f64 re 1/6)) |
(*.f64 (pow.f64 re 1/6) (*.f64 (pow.f64 re 1/6) (cbrt.f64 re))) |
(*.f64 (*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)) (cbrt.f64 (cbrt.f64 re))) |
(sqrt.f64 (*.f64 re (cbrt.f64 re))) |
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 re) 2))) |
(cbrt.f64 (*.f64 re re)) |
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 re) 2))) |
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 re) 2))) |
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 re)))) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 1) |
(*.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1) |
(*.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1/2)) |
(pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2) 1/3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 3) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) 2) |
(fabs.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
| Outputs |
|---|
(+.f64 re (hypot.f64 re im)) |
(+.f64 (hypot.f64 re im) re) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (*.f64 re re))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(+.f64 re (hypot.f64 re im)) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(+.f64 re (hypot.f64 re im)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (+.f64 1 (cbrt.f64 re)) 1) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (cbrt.f64 re) 1) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 1 (cbrt.f64 re)) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (cbrt.f64 (cbrt.f64 re))) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (cbrt.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (pow.f64 re 1/6) (pow.f64 re 1/6)) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 re (cbrt.f64 re)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 re (cbrt.f64 re)))) (fabs.f64 (cbrt.f64 (cbrt.f64 re)))) |
(*.f64 (cbrt.f64 (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 (*.f64 re (cbrt.f64 re))))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 re)) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (pow.f64 (sqrt.f64 re) 1/3) (pow.f64 (sqrt.f64 re) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 re)) (cbrt.f64 (sqrt.f64 re))) |
(pow.f64 (pow.f64 (sqrt.f64 re) 1/6) 4) |
(pow.f64 re 1/3) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(pow.f64 (cbrt.f64 re) 1) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(pow.f64 (pow.f64 (cbrt.f64 re) 2) 1/2) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(pow.f64 (pow.f64 re 1/6) 2) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(sqrt.f64 (pow.f64 (cbrt.f64 re) 2)) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(fabs.f64 (cbrt.f64 re)) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(log.f64 (exp.f64 (cbrt.f64 re))) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(expm1.f64 (log1p.f64 (cbrt.f64 re))) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(log1p.f64 (expm1.f64 (cbrt.f64 re))) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(exp.f64 (log.f64 (cbrt.f64 re))) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 re) 2)) 1) |
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 re) 2) 1)) |
(+.f64 (pow.f64 (cbrt.f64 re) 2) 0) |
(pow.f64 (cbrt.f64 re) 2) |
(*.f64 (cbrt.f64 re) (cbrt.f64 re)) |
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 re) 2) 1)) |
(+.f64 (pow.f64 (cbrt.f64 re) 2) 0) |
(pow.f64 (cbrt.f64 re) 2) |
(*.f64 (pow.f64 (cbrt.f64 re) 2) 1) |
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 re) 2) 1)) |
(+.f64 (pow.f64 (cbrt.f64 re) 2) 0) |
(pow.f64 (cbrt.f64 re) 2) |
(*.f64 1 (pow.f64 (cbrt.f64 re) 2)) |
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 re) 2) 1)) |
(+.f64 (pow.f64 (cbrt.f64 re) 2) 0) |
(pow.f64 (cbrt.f64 re) 2) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (cbrt.f64 (*.f64 re (cbrt.f64 re)))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (*.f64 (cbrt.f64 (cbrt.f64 re)) (cbrt.f64 re))) |
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 re) 2) 1)) |
(+.f64 (pow.f64 (cbrt.f64 re) 2) 0) |
(pow.f64 (cbrt.f64 re) 2) |
(*.f64 (cbrt.f64 (*.f64 re (cbrt.f64 re))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (cbrt.f64 (*.f64 re (cbrt.f64 re)))) |
(*.f64 (sqrt.f64 re) (pow.f64 re 1/6)) |
(*.f64 (pow.f64 re 1/6) (sqrt.f64 re)) |
(*.f64 (pow.f64 re 1/6) (*.f64 (pow.f64 re 1/6) (cbrt.f64 re))) |
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 re) 2) 1)) |
(+.f64 (pow.f64 (cbrt.f64 re) 2) 0) |
(pow.f64 (cbrt.f64 re) 2) |
(*.f64 (*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)) (cbrt.f64 (cbrt.f64 re))) |
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 re) 2) 1)) |
(+.f64 (pow.f64 (cbrt.f64 re) 2) 0) |
(pow.f64 (cbrt.f64 re) 2) |
(sqrt.f64 (*.f64 re (cbrt.f64 re))) |
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 re) 2))) |
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 re) 2) 1)) |
(+.f64 (pow.f64 (cbrt.f64 re) 2) 0) |
(pow.f64 (cbrt.f64 re) 2) |
(cbrt.f64 (*.f64 re re)) |
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 re) 2))) |
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 re) 2) 1)) |
(+.f64 (pow.f64 (cbrt.f64 re) 2) 0) |
(pow.f64 (cbrt.f64 re) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 re) 2))) |
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 re) 2) 1)) |
(+.f64 (pow.f64 (cbrt.f64 re) 2) 0) |
(pow.f64 (cbrt.f64 re) 2) |
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 re)))) |
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 re) 2) 1)) |
(+.f64 (pow.f64 (cbrt.f64 re) 2) 0) |
(pow.f64 (cbrt.f64 re) 2) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4)) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 3) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(fabs.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
Compiled 8526 to 4834 computations (43.3% saved)
27 alts after pruning (20 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 491 | 12 | 503 |
| Fresh | 1 | 8 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 492 | 27 | 519 |
| Status | Error | Program |
|---|---|---|
| 19.2b | (*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) 2) 1/6) 3)) | |
| 19.1b | (*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) 2) 1/6) 3)) | |
| 19.2b | (*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) 2) 1/6) 3)) | |
| ✓ | 17.6b | (*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3)) |
| ✓ | 32.3b | (*.f64 1/2 (hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2)))) |
| 15.1b | (*.f64 1/2 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))) (sqrt.f64 2))) | |
| ✓ | 13.6b | (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))) |
| 15.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) 2) (cbrt.f64 re) (hypot.f64 re im))))) | |
| ▶ | 15.5b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re)))) |
| 15.0b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) (hypot.f64 re im))))) | |
| ▶ | 14.7b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (fabs.f64 (cbrt.f64 re)) (hypot.f64 re im))))) |
| ✓ | 14.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))))) |
| 15.0b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))) | |
| 19.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (sqrt.f64 (*.f64 re (cbrt.f64 re))) (cbrt.f64 re) (hypot.f64 re im))))) | |
| ▶ | 25.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im))))) |
| ▶ | 33.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) re)))) |
| 15.2b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 3/2) re)))) | |
| 14.7b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) re)))) | |
| 15.2b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 3) re)))) | |
| 53.8b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (hypot.f64 (pow.f64 im 3) (pow.f64 re 3)) (hypot.f64 (*.f64 re re) (sqrt.f64 (-.f64 (pow.f64 im 4) (pow.f64 (*.f64 re im) 2))))) re)))) | |
| ✓ | 37.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))) |
| 18.6b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3)) re)))) | |
| 18.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)))) | |
| ✓ | 46.7b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) re)))) |
| ✓ | 13.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
| ▶ | 16.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))) |
| 17.5b | (*.f64 1/2 (exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) 3))) |
Compiled 834 to 617 computations (26% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (fabs.f64 (cbrt.f64 re)) (hypot.f64 re im)))) |
| ✓ | 0.0b | (fma.f64 (pow.f64 (cbrt.f64 re) 2) (fabs.f64 (cbrt.f64 re)) (hypot.f64 re im)) |
| 0.5b | (pow.f64 (cbrt.f64 re) 2) | |
| 0.6b | (cbrt.f64 re) |
Compiled 72 to 31 computations (56.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | im | @ | 0 | (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (fabs.f64 (cbrt.f64 re)) (hypot.f64 re im)))) |
| 1.0ms | re | @ | 0 | (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (fabs.f64 (cbrt.f64 re)) (hypot.f64 re im)))) |
| 1.0ms | im | @ | inf | (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (fabs.f64 (cbrt.f64 re)) (hypot.f64 re im)))) |
| 1.0ms | im | @ | -inf | (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (fabs.f64 (cbrt.f64 re)) (hypot.f64 re im)))) |
| 1.0ms | re | @ | -inf | (fma.f64 (pow.f64 (cbrt.f64 re) 2) (fabs.f64 (cbrt.f64 re)) (hypot.f64 re im)) |
Compiled 9645 to 7800 computations (19.1% saved)
| 1× | batch-egg-rewrite |
| 865× | pow1_binary64 |
| 799× | add-log-exp_binary64 |
| 799× | log1p-expm1-u_binary64 |
| 799× | expm1-log1p-u_binary64 |
| 779× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 39 |
| 1 | 224 | 19 |
| 2 | 2545 | 19 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (fabs.f64 (cbrt.f64 re)) (hypot.f64 re im)) |
(sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (fabs.f64 (cbrt.f64 re)) (hypot.f64 re im)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 re (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 re im) re)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))))) |
| 1× | egg-herbie |
| 700× | distribute-rgt-in_binary64 |
| 673× | distribute-lft-in_binary64 |
| 665× | fma-def_binary64 |
| 361× | associate-*l*_binary64 |
| 359× | log-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 615 |
| 1 | 206 | 564 |
| 2 | 671 | 518 |
| 3 | 3476 | 480 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 re (hypot.f64 re im)) |
(+.f64 (hypot.f64 re im) re) |
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 1) |
(*.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1) |
(*.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1/2)) |
(pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2) 1/3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 3) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) 2) |
(fabs.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
| Outputs |
|---|
(+.f64 re (hypot.f64 re im)) |
(+.f64 (hypot.f64 re im) re) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (*.f64 re re))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(+.f64 re (hypot.f64 re im)) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(+.f64 re (hypot.f64 re im)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4)) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 3) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(fabs.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))) |
| 1.4b | (+.f64 re (hypot.f64 re im)) | |
| ✓ | 4.5b | (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
Compiled 58 to 18 computations (69% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | im | @ | inf | (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))) |
| 0.0ms | im | @ | 0 | (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))) |
| 0.0ms | im | @ | -inf | (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))) |
| 0.0ms | im | @ | 0 | (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
| 0.0ms | re | @ | -inf | (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))) |
Compiled 7940 to 6275 computations (21% saved)
| 1× | batch-egg-rewrite |
| 932× | pow1_binary64 |
| 865× | add-log-exp_binary64 |
| 864× | log1p-expm1-u_binary64 |
| 864× | expm1-log1p-u_binary64 |
| 845× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 19 |
| 1 | 196 | 19 |
| 2 | 2388 | 19 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 re (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 re im) re)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (+.f64 re (hypot.f64 re im)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 re re) (-.f64 re (hypot.f64 re im))) (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (/.f64 1 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (/.f64 1 (-.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))) (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (*.f64 re re) (*.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3))) (neg.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2))) (neg.f64 (-.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) 2)) (cbrt.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 re (hypot.f64 re im))))) (sqrt.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 re (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 re im) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)) (cbrt.f64 (hypot.f64 re im)) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))))) |
| 1× | egg-herbie |
| 593× | fma-neg_binary64 |
| 438× | associate-*l*_binary64 |
| 394× | associate-*r*_binary64 |
| 359× | log-prod_binary64 |
| 321× | div-sub_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 896 |
| 1 | 309 | 833 |
| 2 | 934 | 787 |
| 3 | 4792 | 761 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 re (hypot.f64 re im)) |
(+.f64 (hypot.f64 re im) re) |
(+.f64 1 (-.f64 (+.f64 re (hypot.f64 re im)) 1)) |
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(-.f64 (/.f64 (*.f64 re re) (-.f64 re (hypot.f64 re im))) (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 re (hypot.f64 re im)))) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (/.f64 1 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))) |
(*.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (/.f64 1 (-.f64 re (hypot.f64 re im)))) |
(/.f64 1 (/.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))) (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)))) |
(/.f64 1 (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (*.f64 re re) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3))) (neg.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2))) (neg.f64 (-.f64 re (hypot.f64 re im)))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(pow.f64 (exp.f64 1) (log.f64 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) 2)) (cbrt.f64 (log.f64 (+.f64 re (hypot.f64 re im))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 re (hypot.f64 re im))))) (sqrt.f64 (log.f64 (+.f64 re (hypot.f64 re im))))) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(fma.f64 1 re (hypot.f64 re im)) |
(fma.f64 1 (hypot.f64 re im) re) |
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)) (cbrt.f64 (hypot.f64 re im)) re) |
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
| Outputs |
|---|
(+.f64 re (hypot.f64 re im)) |
(+.f64 (hypot.f64 re im) re) |
(+.f64 re (hypot.f64 re im)) |
(+.f64 1 (-.f64 (+.f64 re (hypot.f64 re im)) 1)) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (/.f64 (*.f64 re re) (-.f64 re (hypot.f64 re im))) (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (/.f64 1 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) 1) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (*.f64 re re))) |
(*.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (/.f64 1 (-.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 1 (/.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))) (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) 1) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (*.f64 re re))) |
(/.f64 1 (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)))) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) 1) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (*.f64 re re))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (*.f64 re re) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) 1) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (*.f64 re re))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3))) (neg.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) 1) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (*.f64 re re))) |
(/.f64 (neg.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2))) (neg.f64 (-.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (exp.f64 1) (log.f64 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (E.f64) (log.f64 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) 2)) (cbrt.f64 (log.f64 (+.f64 re (hypot.f64 re im))))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 re (hypot.f64 re im))))) (sqrt.f64 (log.f64 (+.f64 re (hypot.f64 re im))))) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(+.f64 re (hypot.f64 re im)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 1 re (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 1 (hypot.f64 re im) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)) (cbrt.f64 (hypot.f64 re im)) re) |
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) re))) |
| ✓ | 14.8b | (+.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) re) |
| ✓ | 23.4b | (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) |
Compiled 69 to 43 computations (37.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | im | @ | -inf | (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) re))) |
| 7.0ms | im | @ | 0 | (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) |
| 5.0ms | re | @ | 0 | (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) |
| 5.0ms | im | @ | inf | (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) |
| 5.0ms | re | @ | inf | (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) |
Compiled 41405 to 36385 computations (12.1% saved)
| 1× | batch-egg-rewrite |
| 642× | prod-diff_binary64 |
| 487× | log-prod_binary64 |
| 295× | pow-prod-down_binary64 |
| 287× | pow2_binary64 |
| 243× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 23 |
| 1 | 274 | 23 |
| 2 | 3163 | 23 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) |
(+.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) re) |
(sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) re))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 re im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 2/3) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 re im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 re im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 re im)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 im re)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (hypot.f64 re im) re)) (/.f64 (*.f64 re re) (-.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (/.f64 1 (-.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (-.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (exp.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 re) (+.f64 1 (expm1.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (+.f64 1 (expm1.f64 (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (exp.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 re im)) (+.f64 1 (expm1.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (+.f64 1 (expm1.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re 1 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 re im) 1 re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 re (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 re im) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) 2) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 2/3) (hypot.f64 re im) re))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 re 2)) (sqrt.f64 (*.f64 (hypot.f64 re im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)))))) |
| 1× | egg-herbie |
| 727× | div-sub_binary64 |
| 496× | fma-neg_binary64 |
| 411× | distribute-rgt-in_binary64 |
| 368× | distribute-lft-in_binary64 |
| 333× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 1194 |
| 1 | 442 | 1144 |
| 2 | 1301 | 1111 |
| 3 | 5927 | 1111 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 0 (hypot.f64 re im)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im))))) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1) |
(*.f64 (hypot.f64 re im) 1) |
(*.f64 1 (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im))) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
(*.f64 (pow.f64 1 2/3) (hypot.f64 re im)) |
(sqrt.f64 (pow.f64 (hypot.f64 re im) 2)) |
(log.f64 (exp.f64 (hypot.f64 re im))) |
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) |
(hypot.f64 re im) |
(hypot.f64 im re) |
(expm1.f64 (log1p.f64 (hypot.f64 re im))) |
(log1p.f64 (expm1.f64 (hypot.f64 re im))) |
(exp.f64 (log.f64 (hypot.f64 re im))) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) 1)) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) 1) |
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (hypot.f64 re im) re)) (/.f64 (*.f64 re re) (-.f64 (hypot.f64 re im) re))) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (/.f64 1 (-.f64 (hypot.f64 re im) re))) |
(/.f64 1 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)))) |
(/.f64 1 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(pow.f64 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) -1) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) -1) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 re (hypot.f64 re im))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (exp.f64 (hypot.f64 re im)))) |
(log.f64 (*.f64 (exp.f64 re) (+.f64 1 (expm1.f64 (hypot.f64 re im))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (+.f64 1 (expm1.f64 (hypot.f64 re im))))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (exp.f64 re))) |
(log.f64 (*.f64 (exp.f64 (hypot.f64 re im)) (+.f64 1 (expm1.f64 re)))) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (+.f64 1 (expm1.f64 re)))) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(fma.f64 re 1 (hypot.f64 re im)) |
(fma.f64 (hypot.f64 re im) 1 re) |
(fma.f64 1 re (hypot.f64 re im)) |
(fma.f64 1 (hypot.f64 re im) re) |
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) re) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) 2) (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
(fma.f64 (pow.f64 1 2/3) (hypot.f64 re im) re) |
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4) 1/4) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3) 1/6) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2))) |
(hypot.f64 (sqrt.f64 (*.f64 re 2)) (sqrt.f64 (*.f64 (hypot.f64 re im) 2))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)) |
| Outputs |
|---|
(+.f64 0 (hypot.f64 re im)) |
(hypot.f64 re im) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))))) |
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im)))) 3) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im))))) |
(hypot.f64 re im) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1) |
(hypot.f64 re im) |
(*.f64 (hypot.f64 re im) 1) |
(hypot.f64 re im) |
(*.f64 1 (hypot.f64 re im)) |
(hypot.f64 re im) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) |
(hypot.f64 re im) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(*.f64 (pow.f64 1 2/3) (hypot.f64 re im)) |
(hypot.f64 re im) |
(sqrt.f64 (pow.f64 (hypot.f64 re im) 2)) |
(hypot.f64 re im) |
(log.f64 (exp.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im)))) |
(hypot.f64 re im) |
(cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) |
(hypot.f64 re im) |
(hypot.f64 re im) |
(hypot.f64 im re) |
(expm1.f64 (log1p.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(log1p.f64 (expm1.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(exp.f64 (log.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) 1)) |
(hypot.f64 re im) |
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) 1) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (hypot.f64 re im) re)) (/.f64 (*.f64 re re) (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (/.f64 1 (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 1 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)))) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 1 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (/.f64 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) -1) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) -1) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 re (hypot.f64 re im))))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (exp.f64 (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (exp.f64 re) (+.f64 1 (expm1.f64 (hypot.f64 re im))))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 re)) (+.f64 1 (expm1.f64 (hypot.f64 re im))))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (exp.f64 re))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (exp.f64 (hypot.f64 re im)) (+.f64 1 (expm1.f64 re)))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))) (+.f64 1 (expm1.f64 re)))) |
(+.f64 re (hypot.f64 re im)) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(+.f64 re (hypot.f64 re im)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) 1)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 re 1 (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (hypot.f64 re im) 1 re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 1 re (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 1 (hypot.f64 re im) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) 2) (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (pow.f64 1 2/3) (hypot.f64 re im) re) |
(+.f64 re (hypot.f64 re im)) |
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(*.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/6)) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/12) 6) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/6)) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/12) 6) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4) 1/4) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3) 1/6) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3) 1/6) |
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 8) 1/6) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2)) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 3/2) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3) |
(*.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/6)) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/12) 6) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2)) |
(hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2))) |
(hypot.f64 (sqrt.f64 (*.f64 re 2)) (sqrt.f64 (*.f64 (hypot.f64 re im) 2))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 2 (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im)))) |
| 0.6b | (cbrt.f64 re) | |
| ✓ | 14.7b | (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im)) |
| ✓ | 31.4b | (cbrt.f64 (*.f64 re re)) |
Compiled 68 to 19 computations (72.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | im | @ | 0 | (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im)) |
| 2.0ms | im | @ | 0 | (sqrt.f64 (*.f64 2 (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im)))) |
| 1.0ms | im | @ | inf | (sqrt.f64 (*.f64 2 (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im)))) |
| 1.0ms | re | @ | 0 | (sqrt.f64 (*.f64 2 (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im)))) |
| 1.0ms | im | @ | -inf | (sqrt.f64 (*.f64 2 (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im)))) |
Compiled 10065 to 7910 computations (21.4% saved)
| 1× | batch-egg-rewrite |
| 889× | pow1_binary64 |
| 819× | add-log-exp_binary64 |
| 819× | log1p-expm1-u_binary64 |
| 819× | expm1-log1p-u_binary64 |
| 796× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 25 |
| 1 | 217 | 25 |
| 2 | 2361 | 25 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 re re)) |
(fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im)) |
(sqrt.f64 (*.f64 2 (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 re re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 re re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 re) (cbrt.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) (cbrt.f64 (*.f64 re (cbrt.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) (*.f64 (cbrt.f64 (cbrt.f64 re)) (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 re (cbrt.f64 re))) (cbrt.f64 (cbrt.f64 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 re 1/6) (*.f64 (pow.f64 re 1/6) (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 re) (pow.f64 re 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 re (cbrt.f64 re)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 re) (cbrt.f64 (cbrt.f64 (*.f64 re re)))) (cbrt.f64 (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 re 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 re re) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 re re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 re) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 re (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 re re)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 re (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 re im) re)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))))) |
| 1× | egg-herbie |
| 788× | fma-def_binary64 |
| 450× | log-prod_binary64 |
| 420× | associate-*l*_binary64 |
| 375× | associate-*r*_binary64 |
| 339× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 882 |
| 1 | 283 | 798 |
| 2 | 867 | 719 |
| 3 | 4172 | 681 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 re re))) 1) |
(*.f64 (cbrt.f64 (*.f64 re re)) 1) |
(*.f64 (cbrt.f64 re) (cbrt.f64 re)) |
(*.f64 1 (cbrt.f64 (*.f64 re re))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) (cbrt.f64 (*.f64 re (cbrt.f64 re)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) (*.f64 (cbrt.f64 (cbrt.f64 re)) (cbrt.f64 re))) |
(*.f64 (cbrt.f64 (*.f64 re (cbrt.f64 re))) (cbrt.f64 (cbrt.f64 (*.f64 re re)))) |
(*.f64 (pow.f64 re 1/6) (*.f64 (pow.f64 re 1/6) (cbrt.f64 re))) |
(*.f64 (sqrt.f64 re) (pow.f64 re 1/6)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 re re))) |
(*.f64 (pow.f64 (*.f64 re (cbrt.f64 re)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 re re)))) |
(*.f64 (*.f64 (cbrt.f64 re) (cbrt.f64 (cbrt.f64 (*.f64 re re)))) (cbrt.f64 (cbrt.f64 re))) |
(pow.f64 re 2/3) |
(pow.f64 (*.f64 re re) 1/3) |
(pow.f64 (cbrt.f64 (*.f64 re re)) 1) |
(pow.f64 (cbrt.f64 re) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) 3) |
(sqrt.f64 (*.f64 re (cbrt.f64 re))) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 re re)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 re re)))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 re re)))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 re re)))) |
(+.f64 re (hypot.f64 re im)) |
(+.f64 (hypot.f64 re im) re) |
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 re re))) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 re re)) 1)) |
(+.f64 (cbrt.f64 (*.f64 re re)) 0) |
(cbrt.f64 (*.f64 re re)) |
(*.f64 (cbrt.f64 (*.f64 re re)) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 re re)) 1)) |
(+.f64 (cbrt.f64 (*.f64 re re)) 0) |
(cbrt.f64 (*.f64 re re)) |
(*.f64 (cbrt.f64 re) (cbrt.f64 re)) |
(pow.f64 (cbrt.f64 re) 2) |
(*.f64 1 (cbrt.f64 (*.f64 re re))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 re re)) 1)) |
(+.f64 (cbrt.f64 (*.f64 re re)) 0) |
(cbrt.f64 (*.f64 re re)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) (cbrt.f64 (*.f64 re (cbrt.f64 re)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) (*.f64 (cbrt.f64 (cbrt.f64 re)) (cbrt.f64 re))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) (*.f64 (cbrt.f64 re) (cbrt.f64 (cbrt.f64 re)))) |
(*.f64 (cbrt.f64 re) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) (cbrt.f64 (cbrt.f64 re)))) |
(*.f64 (cbrt.f64 (*.f64 re (cbrt.f64 re))) (cbrt.f64 (cbrt.f64 (*.f64 re re)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) (cbrt.f64 (*.f64 re (cbrt.f64 re)))) |
(*.f64 (pow.f64 re 1/6) (*.f64 (pow.f64 re 1/6) (cbrt.f64 re))) |
(pow.f64 (cbrt.f64 re) 2) |
(*.f64 (sqrt.f64 re) (pow.f64 re 1/6)) |
(*.f64 (pow.f64 re 1/6) (sqrt.f64 re)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 re re))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 re re)) 1)) |
(+.f64 (cbrt.f64 (*.f64 re re)) 0) |
(cbrt.f64 (*.f64 re re)) |
(*.f64 (pow.f64 (*.f64 re (cbrt.f64 re)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 re re)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) (cbrt.f64 (*.f64 re (cbrt.f64 re)))) |
(*.f64 (*.f64 (cbrt.f64 re) (cbrt.f64 (cbrt.f64 (*.f64 re re)))) (cbrt.f64 (cbrt.f64 re))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) (*.f64 (cbrt.f64 re) (cbrt.f64 (cbrt.f64 re)))) |
(*.f64 (cbrt.f64 re) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) (cbrt.f64 (cbrt.f64 re)))) |
(pow.f64 re 2/3) |
(pow.f64 (cbrt.f64 re) 2) |
(pow.f64 (*.f64 re re) 1/3) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 re re)) 1)) |
(+.f64 (cbrt.f64 (*.f64 re re)) 0) |
(cbrt.f64 (*.f64 re re)) |
(pow.f64 (cbrt.f64 (*.f64 re re)) 1) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 re re)) 1)) |
(+.f64 (cbrt.f64 (*.f64 re re)) 0) |
(cbrt.f64 (*.f64 re re)) |
(pow.f64 (cbrt.f64 re) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) 3) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 re re)) 1)) |
(+.f64 (cbrt.f64 (*.f64 re re)) 0) |
(cbrt.f64 (*.f64 re re)) |
(sqrt.f64 (*.f64 re (cbrt.f64 re))) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 re re)))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 re re)) 1)) |
(+.f64 (cbrt.f64 (*.f64 re re)) 0) |
(cbrt.f64 (*.f64 re re)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 re re)))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 re re)) 1)) |
(+.f64 (cbrt.f64 (*.f64 re re)) 0) |
(cbrt.f64 (*.f64 re re)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 re re)))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 re re)) 1)) |
(+.f64 (cbrt.f64 (*.f64 re re)) 0) |
(cbrt.f64 (*.f64 re re)) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 re re)))) |
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 re re)) 1)) |
(+.f64 (cbrt.f64 (*.f64 re re)) 0) |
(cbrt.f64 (*.f64 re re)) |
(+.f64 re (hypot.f64 re im)) |
(+.f64 (hypot.f64 re im) re) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (*.f64 re re))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(+.f64 re (hypot.f64 re im)) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(+.f64 re (hypot.f64 re im)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 3/2) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 3/2) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)) |
(+.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 0) |
(sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re))) |
| ✓ | 0.6b | (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) |
| ✓ | 0.6b | (cbrt.f64 (hypot.f64 re im)) |
| ✓ | 14.7b | (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
Compiled 77 to 30 computations (61% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | im | @ | 0 | (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re))) |
| 6.0ms | im | @ | 0 | (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
| 3.0ms | re | @ | 0 | (cbrt.f64 (hypot.f64 re im)) |
| 2.0ms | re | @ | 0 | (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
| 2.0ms | im | @ | inf | (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
Compiled 43690 to 36825 computations (15.7% saved)
| 1× | batch-egg-rewrite |
| 836× | pow1_binary64 |
| 771× | add-log-exp_binary64 |
| 771× | log1p-expm1-u_binary64 |
| 771× | expm1-log1p-u_binary64 |
| 751× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 1 | 203 | 34 |
| 2 | 2226 | 34 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
(cbrt.f64 (hypot.f64 re im)) |
(pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) |
(sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 re (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 re im) re)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (*.f64 re re) (*.f64 (hypot.f64 re im) re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (hypot.f64 re im) 1/6) (pow.f64 (hypot.f64 re im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))))))) (#(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 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 (cbrt.f64 (hypot.f64 re im)) 2) 1/2)))) (#(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) 1/6) 2)))) (#(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 sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) 1/6) (*.f64 (pow.f64 (hypot.f64 re im) 1/6) (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 re im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (hypot.f64 re im))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))))) |
| 1× | egg-herbie |
| 658× | distribute-rgt-in_binary64 |
| 493× | unswap-sqr_binary64 |
| 412× | times-frac_binary64 |
| 354× | exp-prod_binary64 |
| 354× | fma-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 155 | 1138 |
| 1 | 322 | 995 |
| 2 | 1086 | 856 |
| 3 | 4299 | 812 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 re (hypot.f64 re im)) |
(+.f64 (hypot.f64 re im) re) |
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (*.f64 re re) (*.f64 (hypot.f64 re im) re)))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(-.f64 (+.f64 1 (cbrt.f64 (hypot.f64 re im))) 1) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) 1) |
(*.f64 1 (cbrt.f64 (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) |
(*.f64 (pow.f64 (hypot.f64 re im) 1/6) (pow.f64 (hypot.f64 re im) 1/6)) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (hypot.f64 re im))) |
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 1/3) (pow.f64 (sqrt.f64 (hypot.f64 re im)) 1/3)) |
(pow.f64 (hypot.f64 re im) 1/3) |
(pow.f64 (cbrt.f64 (hypot.f64 re im)) 1) |
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 1/2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 3) |
(pow.f64 (pow.f64 (hypot.f64 re im) 1/6) 2) |
(pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/6) |
(sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) |
(fabs.f64 (cbrt.f64 (hypot.f64 re im))) |
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 re im)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 re im)))) |
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 re im)))) |
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) 1) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (hypot.f64 re im))) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 1) |
(*.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (hypot.f64 re im)))) |
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (hypot.f64 re im) 1/6) (*.f64 (pow.f64 (hypot.f64 re im) 1/6) (cbrt.f64 (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 1/6)) |
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 re im)))) |
(sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 4)) |
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) |
(cbrt.f64 (pow.f64 (hypot.f64 re im) 2)) |
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) |
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))) |
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (hypot.f64 re im))))) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 1) |
(*.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1) |
(*.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1/2)) |
(pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2) 1/3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 3) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) 2) |
(fabs.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
| Outputs |
|---|
(+.f64 re (hypot.f64 re im)) |
(+.f64 (hypot.f64 re im) re) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (*.f64 re re) (*.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
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(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
Compiled 10269 to 5375 computations (47.7% saved)
34 alts after pruning (22 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 581 | 8 | 589 |
| Fresh | 1 | 14 | 15 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 11 | 11 |
| Total | 582 | 34 | 616 |
| Status | Error | Program |
|---|---|---|
| 19.2b | (*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) 2) 1/6) 3)) | |
| 19.1b | (*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) 2) 1/6) 3)) | |
| ▶ | 19.2b | (*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) 2) 1/6) 3)) |
| ✓ | 17.6b | (*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3)) |
| ✓ | 32.3b | (*.f64 1/2 (hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2)))) |
| 15.1b | (*.f64 1/2 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))) (sqrt.f64 2))) | |
| ✓ | 13.6b | (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))) |
| 15.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 3) 2) (cbrt.f64 (hypot.f64 re im)) re)))) | |
| ▶ | 15.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) 2) (cbrt.f64 re) (hypot.f64 re im))))) |
| 15.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) re)))) | |
| ✓ | 15.5b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re)))) |
| 25.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) 3) (cbrt.f64 re) (hypot.f64 re im))))) | |
| 15.0b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) (hypot.f64 re im))))) | |
| ✓ | 14.7b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (fabs.f64 (cbrt.f64 re)) (hypot.f64 re im))))) |
| ✓ | 14.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))))) |
| 17.2b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 1/6)) (cbrt.f64 (hypot.f64 re im)) re)))) | |
| 26.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (hypot.f64 re im)) re)))) | |
| ▶ | 15.0b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))) |
| 19.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (sqrt.f64 (*.f64 re (cbrt.f64 re))) (cbrt.f64 re) (hypot.f64 re im))))) | |
| 37.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)) (cbrt.f64 (hypot.f64 re im)) re)))) | |
| ✓ | 25.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im))))) |
| ✓ | 33.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) re)))) |
| 15.2b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 3/2) re)))) | |
| ▶ | 14.7b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) re)))) |
| 15.2b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 3) re)))) | |
| ✓ | 37.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))) |
| 18.6b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3)) re)))) | |
| ▶ | 18.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)))) |
| ✓ | 46.7b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) re)))) |
| ✓ | 13.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
| 18.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))))))) | |
| 18.5b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))))) | |
| ✓ | 16.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))) |
| 17.5b | (*.f64 1/2 (exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) 3))) |
Compiled 1040 to 740 computations (28.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) re))) |
| ✓ | 0.5b | (pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) |
| ✓ | 7.5b | (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) re) |
Compiled 61 to 30 computations (50.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | im | @ | 0 | (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) re))) |
| 2.0ms | im | @ | 0 | (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) re) |
| 2.0ms | im | @ | inf | (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) re))) |
| 1.0ms | re | @ | 0 | (pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) |
| 1.0ms | im | @ | -inf | (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) re))) |
Compiled 20015 to 16630 computations (16.9% saved)
| 1× | batch-egg-rewrite |
| 971× | pow1_binary64 |
| 904× | add-log-exp_binary64 |
| 903× | log1p-expm1-u_binary64 |
| 903× | expm1-log1p-u_binary64 |
| 101× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 223 | 23 |
| 2 | 2591 | 23 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) re) |
(pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) |
(sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) re))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (hypot.f64 re im) re)) (/.f64 (*.f64 re re) (-.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (/.f64 1 (-.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (-.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 re (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 re im) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 re im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 re im)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) 1/4) (*.f64 (pow.f64 (hypot.f64 re im) 1/4) (sqrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 1/4)) (pow.f64 (hypot.f64 re im) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 re im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 re im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 re im)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 re im))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))))))) |
| 1× | egg-herbie |
| 623× | div-sub_binary64 |
| 371× | fma-neg_binary64 |
| 333× | cancel-sign-sub-inv_binary64 |
| 260× | log-prod_binary64 |
| 242× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 868 |
| 1 | 329 | 837 |
| 2 | 1040 | 833 |
| 3 | 4511 | 807 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) 1) |
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (hypot.f64 re im) re)) (/.f64 (*.f64 re re) (-.f64 (hypot.f64 re im) re))) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))))) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (/.f64 1 (-.f64 (hypot.f64 re im) re))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)))) |
(/.f64 1 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 re (hypot.f64 re im))))) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
(fma.f64 1 re (hypot.f64 re im)) |
(fma.f64 1 (hypot.f64 re im) re) |
(fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im)) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1) |
(*.f64 (hypot.f64 re im) 1) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
(*.f64 1 (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)))) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im))) |
(*.f64 (pow.f64 (hypot.f64 re im) 1/4) (*.f64 (pow.f64 (hypot.f64 re im) 1/4) (sqrt.f64 (hypot.f64 re im)))) |
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 1/4)) (pow.f64 (hypot.f64 re im) 1/4)) |
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) |
(sqrt.f64 (pow.f64 (hypot.f64 re im) 2)) |
(log.f64 (exp.f64 (hypot.f64 re im))) |
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) |
(hypot.f64 re im) |
(expm1.f64 (log1p.f64 (hypot.f64 re im))) |
(log1p.f64 (expm1.f64 (hypot.f64 re im))) |
(exp.f64 (log.f64 (hypot.f64 re im))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) 1) |
(*.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1) |
(*.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1/2)) |
(pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2) 1/3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 3) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) 2) |
(fabs.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))) |
(cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) 1) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (hypot.f64 re im) re)) (/.f64 (*.f64 re re) (-.f64 (hypot.f64 re im) re))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) 1) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (/.f64 1 (-.f64 (hypot.f64 re im) re))) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) 1) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 1 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)))) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) 1) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) 1) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) 1) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (-.f64 (hypot.f64 re im) re))) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(+.f64 re (hypot.f64 re im)) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 re (hypot.f64 re im))))) |
(+.f64 re (hypot.f64 re im)) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(+.f64 re (hypot.f64 re im)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 1 re (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 1 (hypot.f64 re im) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1) |
(hypot.f64 re im) |
(*.f64 (hypot.f64 re im) 1) |
(hypot.f64 re im) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(*.f64 1 (hypot.f64 re im)) |
(hypot.f64 re im) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) |
(hypot.f64 re im) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)))) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (hypot.f64 re im)) (cbrt.f64 (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(*.f64 (pow.f64 (hypot.f64 re im) 1/4) (*.f64 (pow.f64 (hypot.f64 re im) 1/4) (sqrt.f64 (hypot.f64 re im)))) |
(hypot.f64 re im) |
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 1/4)) (pow.f64 (hypot.f64 re im) 1/4)) |
(hypot.f64 re im) |
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (*.f64 (sqrt.f64 (hypot.f64 re im)) (cbrt.f64 (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))) |
(sqrt.f64 (pow.f64 (hypot.f64 re im) 2)) |
(hypot.f64 re im) |
(log.f64 (exp.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im)))) |
(hypot.f64 re im) |
(cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) |
(hypot.f64 re im) |
(hypot.f64 re im) |
(expm1.f64 (log1p.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(log1p.f64 (expm1.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(exp.f64 (log.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) 1) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 1 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2) |
(pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/2) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))) 1) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) 3) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 1/4) 2) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(fabs.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(cbrt.f64 (pow.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))) 3/2)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im)))))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 2 (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))) |
| ✓ | 5.8b | (exp.f64 (log.f64 (hypot.f64 re im))) |
| ✓ | 14.3b | (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re) |
Compiled 56 to 18 computations (67.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | im | @ | -inf | (sqrt.f64 (*.f64 2 (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))) |
| 0.0ms | im | @ | 0 | (sqrt.f64 (*.f64 2 (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))) |
| 0.0ms | re | @ | -inf | (sqrt.f64 (*.f64 2 (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))) |
| 0.0ms | re | @ | 0 | (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re) |
| 0.0ms | re | @ | -inf | (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re) |
Compiled 10780 to 8575 computations (20.5% saved)
| 1× | batch-egg-rewrite |
| 976× | pow1_binary64 |
| 907× | add-log-exp_binary64 |
| 906× | log1p-expm1-u_binary64 |
| 906× | expm1-log1p-u_binary64 |
| 100× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 202 | 23 |
| 2 | 2551 | 23 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re) |
(exp.f64 (log.f64 (hypot.f64 re im))) |
(sqrt.f64 (*.f64 2 (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (hypot.f64 re im) re)) (/.f64 (*.f64 re re) (-.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (/.f64 1 (-.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (-.f64 (hypot.f64 re im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 re (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 re im) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 re im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 re im) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 re im)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 re im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (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 sqrt.f64 (pow.f64 (hypot.f64 re im) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 re im) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 re im)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 re im))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))))) |
| 1× | egg-herbie |
| 539× | fma-neg_binary64 |
| 362× | log-prod_binary64 |
| 337× | times-frac_binary64 |
| 314× | unswap-sqr_binary64 |
| 275× | distribute-rgt-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 963 |
| 1 | 337 | 938 |
| 2 | 1202 | 938 |
| 3 | 6485 | 938 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) 1) |
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (hypot.f64 re im) re)) (/.f64 (*.f64 re re) (-.f64 (hypot.f64 re im) re))) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))))) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (/.f64 1 (-.f64 (hypot.f64 re im) re))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)))) |
(/.f64 1 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 re (hypot.f64 re im))))) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(fma.f64 1 re (hypot.f64 re im)) |
(fma.f64 1 (hypot.f64 re im) re) |
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1) |
(*.f64 (hypot.f64 re im) 1) |
(*.f64 1 (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im))) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
(pow.f64 (hypot.f64 re im) 1) |
(pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/2) |
(pow.f64 (cbrt.f64 (hypot.f64 re im)) 3) |
(pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) |
(pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 re im))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(sqrt.f64 (pow.f64 (hypot.f64 re im) 2)) |
(log.f64 (exp.f64 (hypot.f64 re im))) |
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) |
(hypot.f64 re im) |
(expm1.f64 (log1p.f64 (hypot.f64 re im))) |
(log1p.f64 (expm1.f64 (hypot.f64 re im))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) 1) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (hypot.f64 re im) re)) (/.f64 (*.f64 re re) (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) 1) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (/.f64 1 (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))) (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) 1) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 1 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) 1) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) 1) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) 1) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (-.f64 (hypot.f64 re im) re))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(+.f64 re (hypot.f64 re im)) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 re (hypot.f64 re im))))) |
(+.f64 re (hypot.f64 re im)) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(+.f64 re (hypot.f64 re im)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 1 re (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 1 (hypot.f64 re im) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im)) |
(+.f64 re (hypot.f64 re im)) |
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) 1) |
(hypot.f64 re im) |
(*.f64 (hypot.f64 re im) 1) |
(hypot.f64 re im) |
(*.f64 1 (hypot.f64 re im)) |
(hypot.f64 re im) |
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) |
(hypot.f64 re im) |
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(pow.f64 (hypot.f64 re im) 1) |
(hypot.f64 re im) |
(pow.f64 (pow.f64 (hypot.f64 re im) 2) 1/2) |
(hypot.f64 re im) |
(pow.f64 (cbrt.f64 (hypot.f64 re im)) 3) |
(hypot.f64 re im) |
(pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) |
(hypot.f64 re im) |
(pow.f64 (pow.f64 (hypot.f64 re im) 3) 1/3) |
(hypot.f64 re im) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im)))) |
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 re im))) |
(pow.f64 (E.f64) (log.f64 (hypot.f64 re im))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (log.f64 (hypot.f64 re im)))) |
(sqrt.f64 (pow.f64 (hypot.f64 re im) 2)) |
(hypot.f64 re im) |
(log.f64 (exp.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 re im)))) |
(hypot.f64 re im) |
(cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) |
(hypot.f64 re im) |
(hypot.f64 re im) |
(expm1.f64 (log1p.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(log1p.f64 (expm1.f64 (hypot.f64 re im))) |
(hypot.f64 re im) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (*.f64 2 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))) |
| ✓ | 15.0b | (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
Compiled 63 to 17 computations (73% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | im | @ | 0 | (sqrt.f64 (*.f64 2 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))) |
| 1.0ms | im | @ | inf | (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
| 1.0ms | im | @ | inf | (sqrt.f64 (*.f64 2 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))) |
| 1.0ms | im | @ | -inf | (sqrt.f64 (*.f64 2 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))) |
| 1.0ms | im | @ | 0 | (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
Compiled 14075 to 11670 computations (17.1% saved)
| 1× | batch-egg-rewrite |
| 774× | pow1_binary64 |
| 711× | add-log-exp_binary64 |
| 711× | log1p-expm1-u_binary64 |
| 711× | expm1-log1p-u_binary64 |
| 693× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 180 | 19 |
| 2 | 2006 | 19 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
(sqrt.f64 (*.f64 2 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 re (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 re im) re)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (*.f64 re re) (*.f64 (hypot.f64 re im) re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))))) |
| 1× | egg-herbie |
| 709× | fma-def_binary64 |
| 469× | fma-neg_binary64 |
| 387× | associate-*l*_binary64 |
| 382× | log-prod_binary64 |
| 350× | *-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 614 |
| 1 | 205 | 570 |
| 2 | 676 | 528 |
| 3 | 3706 | 516 |
| 4 | 7875 | 516 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 re (hypot.f64 re im)) |
(+.f64 (hypot.f64 re im) re) |
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (*.f64 re re) (*.f64 (hypot.f64 re im) re)))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
| Outputs |
|---|
(+.f64 re (hypot.f64 re im)) |
(+.f64 (hypot.f64 re im) re) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (*.f64 re re) (*.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2))) |
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (-.f64 (hypot.f64 re im) re)) |
(/.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(+.f64 re (hypot.f64 re im)) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(+.f64 re (hypot.f64 re im)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2) 4))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)) |
(+.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 0) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.6b | (pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) 2) 1/6) 3) |
| ✓ | 3.4b | (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) 2) 1/6) |
| 15.0b | (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) |
Compiled 85 to 29 computations (65.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | re | @ | 0 | (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) 2) 1/6) |
| 10.0ms | im | @ | inf | (pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) 2) 1/6) 3) |
| 8.0ms | im | @ | 0 | (pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) 2) 1/6) 3) |
| 6.0ms | re | @ | inf | (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) 2) 1/6) |
| 4.0ms | re | @ | -inf | (pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) 2) 1/6) 3) |
Compiled 61705 to 53310 computations (13.6% saved)
| 1× | batch-egg-rewrite |
| 488× | log-prod_binary64 |
| 362× | exp-prod_binary64 |
| 289× | pow-prod-down_binary64 |
| 283× | pow2_binary64 |
| 214× | pow-to-exp_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 259 | 25 |
| 2 | 2805 | 25 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) 2) 1/6) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) 2) 1/6) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/6) (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/6 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/12 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/12) 2)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6) (*.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 5/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 5/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6)) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3/2) 2)))))) |
| 1× | egg-herbie |
| 1006× | fma-def_binary64 |
| 473× | exp-prod_binary64 |
| 360× | associate-*l*_binary64 |
| 285× | associate-*r*_binary64 |
| 267× | log-prod_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 1015 |
| 1 | 311 | 974 |
| 2 | 804 | 974 |
| 3 | 3081 | 952 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 0 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) 1) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 1) |
(*.f64 1 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18)) |
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6) (pow.f64 2 1/6)) |
(*.f64 (pow.f64 2 1/6) (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12)) |
(sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(log.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))) |
(cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) |
(exp.f64 (*.f64 1/6 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/3)) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/12)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18)) 3)) |
(exp.f64 (*.f64 (*.f64 1/12 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 2)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 3/2)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/2)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) 1/6)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2) 1/3)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) 1/3)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/12) 2)) |
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6) (*.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 5/12)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 5/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6)) (pow.f64 2 1/6)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3/2)) |
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 2)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) 1/2)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) 3)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2) 1)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) 1)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3/2) 2)) |
| Outputs |
|---|
(+.f64 0 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) |
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))) 3) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) 1) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 1) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(*.f64 1 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6) (pow.f64 2 1/6)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(*.f64 (pow.f64 2 1/6) (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(sqrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(log.f64 (exp.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 1/6 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/3)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/12)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18)) 3)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (*.f64 1/12 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 2)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 3/2)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3/2) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1/2)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) 1/6)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) 1)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2) 1/3)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) 1/3)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/12) 2)) |
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) |
(+.f64 0 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) 1) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) 7)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2)) |
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6) (*.f64 (pow.f64 2 1/6) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 5/12)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 5/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 5/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12)) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/12) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 5/12)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18)) |
(*.f64 (*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (*.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) (pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/18) 7)) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) (pow.f64 (+.f64 re (hypot.f64 re im)) 1/6)) (pow.f64 2 1/6)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(fabs.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)))) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)) 1/3)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3/2)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 2)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1) 1/2)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) 3)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2) 1)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1) 1)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(exp.f64 (*.f64 (*.f64 (*.f64 1/6 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 3/2) 2)) |
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.6b | (cbrt.f64 (cbrt.f64 re)) |
| 0.6b | (cbrt.f64 re) | |
| ✓ | 0.8b | (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) |
| ✓ | 14.6b | (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) 2) (cbrt.f64 re) (hypot.f64 re im)) |
Compiled 89 to 44 computations (50.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | re | @ | -inf | (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) |
| 5.0ms | re | @ | inf | (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) |
| 4.0ms | re | @ | 0 | (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) |
| 2.0ms | im | @ | 0 | (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) 2) (cbrt.f64 re) (hypot.f64 re im)) |
| 1.0ms | re | @ | -inf | (cbrt.f64 (cbrt.f64 re)) |
Compiled 24800 to 20365 computations (17.9% saved)
| 1× | batch-egg-rewrite |
| 812× | pow1_binary64 |
| 758× | add-log-exp_binary64 |
| 757× | log1p-expm1-u_binary64 |
| 757× | expm1-log1p-u_binary64 |
| 737× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 15 |
| 1 | 232 | 15 |
| 2 | 2242 | 15 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) 2) (cbrt.f64 re) (hypot.f64 re im)) |
(pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) |
(cbrt.f64 (cbrt.f64 re)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 re (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 re im) re)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (cbrt.f64 (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 re 1/6) (pow.f64 re 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 re) 1/6) (*.f64 (pow.f64 (cbrt.f64 re) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 re (cbrt.f64 re)))) (cbrt.f64 (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 re) 1/3) (pow.f64 (sqrt.f64 re) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 2) 3) (cbrt.f64 (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 re) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 re) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) 1) (cbrt.f64 (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (pow.f64 (cbrt.f64 re) 1/6)) (pow.f64 (cbrt.f64 re) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 re)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 re))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 re) 1/6) (pow.f64 (cbrt.f64 re) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 re 1/6) 1/3) (pow.f64 (pow.f64 re 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 re 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 re) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 re) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 re)))))))) |
| 1× | egg-herbie |
| 639× | unswap-sqr_binary64 |
| 572× | log-prod_binary64 |
| 509× | exp-prod_binary64 |
| 431× | fma-neg_binary64 |
| 409× | fabs-mul_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 623 |
| 1 | 274 | 503 |
| 2 | 911 | 386 |
| 3 | 3974 | 367 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 re (hypot.f64 re im)) |
(+.f64 (hypot.f64 re im) re) |
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(-.f64 (+.f64 1 (cbrt.f64 re)) 1) |
(*.f64 (cbrt.f64 re) 1) |
(*.f64 (cbrt.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)) |
(*.f64 1 (cbrt.f64 re)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (cbrt.f64 (cbrt.f64 re))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2))) |
(*.f64 (pow.f64 re 1/6) (pow.f64 re 1/6)) |
(*.f64 (pow.f64 (cbrt.f64 re) 1/6) (*.f64 (pow.f64 (cbrt.f64 re) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 re (cbrt.f64 re)))) (cbrt.f64 (cbrt.f64 re))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 re)) |
(*.f64 (pow.f64 (sqrt.f64 re) 1/3) (pow.f64 (sqrt.f64 re) 1/3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 2) 3) (cbrt.f64 (cbrt.f64 re))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 re) 1/6) 3)) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) 1) (cbrt.f64 (cbrt.f64 re))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 re)))) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (pow.f64 (cbrt.f64 re) 1/6)) (pow.f64 (cbrt.f64 re) 1/6)) |
(sqrt.f64 (pow.f64 (cbrt.f64 re) 2)) |
(fabs.f64 (cbrt.f64 re)) |
(log.f64 (exp.f64 (cbrt.f64 re))) |
(cbrt.f64 re) |
(expm1.f64 (log1p.f64 (cbrt.f64 re))) |
(log1p.f64 (expm1.f64 (cbrt.f64 re))) |
(exp.f64 (log.f64 (cbrt.f64 re))) |
(-.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) 1) |
(*.f64 (cbrt.f64 (cbrt.f64 re)) 1) |
(*.f64 1 (cbrt.f64 (cbrt.f64 re))) |
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 2)) |
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 re)))) |
(*.f64 (pow.f64 (cbrt.f64 re) 1/6) (pow.f64 (cbrt.f64 re) 1/6)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 re))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 re)))) |
(*.f64 (pow.f64 (pow.f64 re 1/6) 1/3) (pow.f64 (pow.f64 re 1/6) 1/3)) |
(pow.f64 re 1/9) |
(pow.f64 (cbrt.f64 re) 1/3) |
(pow.f64 (cbrt.f64 (cbrt.f64 re)) 1) |
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 3) |
(pow.f64 (pow.f64 (cbrt.f64 re) 1/6) 2) |
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 re)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 re)))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 re)))) |
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 re)))) |
| Outputs |
|---|
(+.f64 re (hypot.f64 re im)) |
(+.f64 (hypot.f64 re im) re) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (+.f64 1 (+.f64 re (hypot.f64 re im))) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 1 (+.f64 re (hypot.f64 re im))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2)) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 2) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (+.f64 (*.f64 re re) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (hypot.f64 re im))))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) |
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (hypot.f64 re im) 3)) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (*.f64 re re))) |
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (hypot.f64 re im) 2)) (-.f64 re (hypot.f64 re im))) |
(/.f64 (+.f64 re (hypot.f64 re im)) 1) |
(pow.f64 (+.f64 re (hypot.f64 re im)) 1) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3) 1/3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) 3) |
(+.f64 re (hypot.f64 re im)) |
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) 2) |
(+.f64 re (hypot.f64 re im)) |
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 2)) |
(+.f64 re (hypot.f64 re im)) |
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) 3)) |
(+.f64 re (hypot.f64 re im)) |
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) |
(+.f64 re (hypot.f64 re im)) |
(-.f64 (+.f64 1 (cbrt.f64 re)) 1) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (cbrt.f64 re) 1) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (cbrt.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 1 (cbrt.f64 re)) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (cbrt.f64 (cbrt.f64 re))) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2))) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (pow.f64 re 1/6) (pow.f64 re 1/6)) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (pow.f64 (cbrt.f64 re) 1/6) (*.f64 (pow.f64 (cbrt.f64 re) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2))) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 re (cbrt.f64 re)))) (cbrt.f64 (cbrt.f64 re))) |
(*.f64 (cbrt.f64 (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 (*.f64 re (cbrt.f64 re))))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 re)) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (pow.f64 (sqrt.f64 re) 1/3) (pow.f64 (sqrt.f64 re) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 re)) (cbrt.f64 (sqrt.f64 re))) |
(pow.f64 (pow.f64 (sqrt.f64 re) 1/6) 4) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 2) 3) (cbrt.f64 (cbrt.f64 re))) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 re) 1/6) 3)) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) 1) (cbrt.f64 (cbrt.f64 re))) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 re)))) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (pow.f64 (cbrt.f64 re) 1/6)) (pow.f64 (cbrt.f64 re) 1/6)) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(sqrt.f64 (pow.f64 (cbrt.f64 re) 2)) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(fabs.f64 (cbrt.f64 re)) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(log.f64 (exp.f64 (cbrt.f64 re))) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(cbrt.f64 re) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(expm1.f64 (log1p.f64 (cbrt.f64 re))) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(log1p.f64 (expm1.f64 (cbrt.f64 re))) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(exp.f64 (log.f64 (cbrt.f64 re))) |
(+.f64 1 (-.f64 (cbrt.f64 re) 1)) |
(+.f64 (cbrt.f64 re) 0) |
(cbrt.f64 re) |
(-.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) 1) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(*.f64 (cbrt.f64 (cbrt.f64 re)) 1) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(*.f64 1 (cbrt.f64 (cbrt.f64 re))) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 2)) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) 1/3)) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 re)))) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(*.f64 (pow.f64 (cbrt.f64 re) 1/6) (pow.f64 (cbrt.f64 re) 1/6)) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 re))) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 re)))) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(*.f64 (pow.f64 (pow.f64 re 1/6) 1/3) (pow.f64 (pow.f64 re 1/6) 1/3)) |
(*.f64 (cbrt.f64 (pow.f64 re 1/6)) (cbrt.f64 (pow.f64 re 1/6))) |
(pow.f64 (pow.f64 (pow.f64 re 1/6) 1/6) 4) |
(pow.f64 re 1/9) |
(*.f64 (pow.f64 re 1/18) (pow.f64 re 1/18)) |
(pow.f64 (cbrt.f64 re) 1/3) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(pow.f64 (cbrt.f64 (cbrt.f64 re)) 1) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 re))) 3) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(pow.f64 (pow.f64 (cbrt.f64 re) 1/6) 2) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 re)))) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 re)))) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 re)))) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 re)))) |
(+.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 re))) -1) |
(+.f64 (cbrt.f64 (cbrt.f64 re)) 0) |
(cbrt.f64 (cbrt.f64 re)) |
Compiled 8063 to 4538 computations (43.7% saved)
37 alts after pruning (20 fresh and 17 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 450 | 3 | 453 |
| Fresh | 0 | 17 | 17 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 16 | 16 |
| Total | 450 | 37 | 487 |
| Status | Error | Program |
|---|---|---|
| 19.2b | (*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) 2) 1/6) 3)) | |
| 19.1b | (*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) 2) 1/6) 3)) | |
| ✓ | 19.2b | (*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) 2) 1/6) 3)) |
| ✓ | 17.6b | (*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3)) |
| ✓ | 32.3b | (*.f64 1/2 (hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2)))) |
| 15.1b | (*.f64 1/2 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))) (sqrt.f64 2))) | |
| ✓ | 13.6b | (*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))) |
| 15.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 3) 2) (cbrt.f64 (hypot.f64 re im)) re)))) | |
| 15.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) (hypot.f64 re im))))) | |
| ✓ | 15.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) 2) (cbrt.f64 re) (hypot.f64 re im))))) |
| 15.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) re)))) | |
| ✓ | 15.5b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re)))) |
| 25.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) 3) (cbrt.f64 re) (hypot.f64 re im))))) | |
| 15.0b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) (hypot.f64 re im))))) | |
| ✓ | 14.7b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (fabs.f64 (cbrt.f64 re)) (hypot.f64 re im))))) |
| ✓ | 14.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))))) |
| 17.2b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 1/6)) (cbrt.f64 (hypot.f64 re im)) re)))) | |
| 26.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (hypot.f64 re im)) re)))) | |
| ✓ | 15.0b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))) |
| 19.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (sqrt.f64 (*.f64 re (cbrt.f64 re))) (cbrt.f64 re) (hypot.f64 re im))))) | |
| 37.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)) (cbrt.f64 (hypot.f64 re im)) re)))) | |
| ✓ | 25.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im))))) |
| ✓ | 33.1b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) re)))) |
| 15.2b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 3/2) re)))) | |
| ✓ | 14.7b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) re)))) |
| 15.2b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 3) re)))) | |
| 18.8b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (E.f64) (log.f64 (hypot.f64 re im))) re)))) | |
| 14.6b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 (hypot.f64 re im) 1/4) (*.f64 (pow.f64 (hypot.f64 re im) 1/4) (sqrt.f64 (hypot.f64 re im)))) re)))) | |
| ✓ | 37.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))) |
| 18.6b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3)) re)))) | |
| ✓ | 18.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)))) |
| ✓ | 46.7b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) re)))) |
| ✓ | 13.3b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
| 18.4b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))))))) | |
| 18.5b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))))) | |
| ✓ | 16.9b | (*.f64 1/2 (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))) |
| 17.5b | (*.f64 1/2 (exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) 3))) |
Compiled 677 to 485 computations (28.4% saved)
Total -45.3b remaining (-341.3%)
Threshold costs -45.3b (-341.3%)
| Inputs |
|---|
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))) |
(*.f64 1/2 (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 2))) |
(*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3)) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 3)) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 3) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) 2) re)))) |
(*.f64 1/2 (hypot.f64 (sqrt.f64 (*.f64 (hypot.f64 re im) 2)) (sqrt.f64 (*.f64 re 2)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 3/2) 2/3) re)))) |
(*.f64 1/2 (exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6)) 3))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (E.f64) (log.f64 (hypot.f64 re im))) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) 3)) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 3/2) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (hypot.f64 re im))))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (cbrt.f64 re) (sqrt.f64 (*.f64 re (cbrt.f64 re))) (hypot.f64 re im))))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (sqrt.f64 (*.f64 re (cbrt.f64 re))) (cbrt.f64 re) (hypot.f64 re im))))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (fabs.f64 (cbrt.f64 re)) (hypot.f64 re im))))) |
(*.f64 1/2 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))) (sqrt.f64 2))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)) (cbrt.f64 (hypot.f64 re im)) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 re re))) 3) (cbrt.f64 re) (hypot.f64 re im))))) |
(*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) 2) 1/6) 3)) |
(*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im)) 2) 1/6) 3)) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (*.f64 (pow.f64 (hypot.f64 re im) 1/4) (*.f64 (pow.f64 (hypot.f64 re im) 1/4) (sqrt.f64 (hypot.f64 re im)))) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (exp.f64 (log.f64 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (hypot.f64 re im))))))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 re) 2) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) (hypot.f64 re im))))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) 2) (cbrt.f64 re) (hypot.f64 re im))))) |
(*.f64 1/2 (pow.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) re) 2) 1/6) 3)) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 1/6)) (cbrt.f64 (hypot.f64 re im)) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (/.f64 (hypot.f64 (pow.f64 im 3) (pow.f64 re 3)) (hypot.f64 (*.f64 re re) (sqrt.f64 (-.f64 (pow.f64 im 4) (pow.f64 (*.f64 re im) 2))))) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 3) 2) (cbrt.f64 (hypot.f64 re im)) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) 2) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3) (hypot.f64 re im))))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) re)))) |
(*.f64 1/2 (sqrt.f64 (*.f64 2 (fma.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) (cbrt.f64 (hypot.f64 re im)) re)))) |
| Outputs |
|---|
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
7 calls:
| 18.0ms | re |
| 16.0ms | im |
| 13.0ms | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))) |
| 13.0ms | (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) |
| 12.0ms | (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) |
| Error | Segments | Branch |
|---|---|---|
| 13.3b | 1 | re |
| 13.3b | 1 | im |
| 13.3b | 1 | (*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))) |
| 13.3b | 1 | (sqrt.f64 (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) |
| 13.3b | 1 | (*.f64 2 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)) |
| 13.3b | 1 | (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) |
| 13.3b | 1 | (*.f64 im im) |
Compiled 719 to 411 computations (42.8% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 15 |
| 1 | 13 | 15 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
| Outputs |
|---|
(*.f64 1/2 (sqrt.f64 (*.f64 2 (+.f64 re (hypot.f64 re im))))) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
| 6× | fma-def_binary64 |
| 4× | *-commutative_binary64 |
| 3× | +-commutative_binary64 |
| 2× | distribute-lft-in_binary64 |
| 2× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 15 |
| 1 | 25 | 15 |
| 2 | 34 | 15 |
| 3 | 36 | 15 |
| 1× | saturated |
Compiled 46 to 33 computations (28.3% saved)
Compiled 12 to 9 computations (25% saved)
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