Time bar (total: 7.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 18.7% | 81.2% | 0.1% | 5 |
| 28.1% | 71.8% | 0.1% | 6 |
| 39% | 60.9% | 0.1% | 7 |
| 52.3% | 47.6% | 0.1% | 8 |
| 67.5% | 32.4% | 0.1% | 9 |
| 74.7% | 25.2% | 0.1% | 10 |
| 83.2% | 16.7% | 0.1% | 11 |
| 87% | 12.9% | 0.1% | 12 |
Compiled 12 to 8 computations (33.3% saved)
| 1.0s | 8255× | body | 256 | valid |
| 0.0ms | 1× | body | 1024 | valid |
| 2× | egg-herbie |
| 1210× | fma-neg_binary64 |
| 554× | div-sub_binary64 |
| 400× | sub-neg_binary64 |
| 367× | associate-/l*_binary64 |
| 357× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 33 | 26 |
| 2 | 54 | 26 |
| 3 | 106 | 26 |
| 4 | 228 | 26 |
| 5 | 464 | 26 |
| 6 | 1258 | 26 |
| 7 | 3570 | 26 |
| 8 | 5998 | 26 |
| 9 | 6870 | 26 |
| 10 | 7405 | 26 |
| 11 | 7607 | 26 |
| 12 | 7711 | 26 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
(/.f64 (-.f64 y x) (-.f64 2 (+.f64 y x))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
(/.f64 (-.f64 y x) (-.f64 2 (+.f64 y x))) |
(/.f64 (-.f64 y x) (-.f64 2 (+.f64 x y))) |
(/.f64 (-.f64 x y) (+.f64 x (+.f64 y -2))) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
| 1142× | fma-neg_binary64 |
| 983× | fma-def_binary64 |
| 651× | div-sub_binary64 |
| 413× | sub-neg_binary64 |
| 386× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 18 | 13 |
| 2 | 35 | 13 |
| 3 | 77 | 13 |
| 4 | 188 | 13 |
| 5 | 357 | 13 |
| 6 | 886 | 13 |
| 7 | 2396 | 13 |
| 8 | 4744 | 13 |
| 9 | 6567 | 13 |
| 10 | 7144 | 13 |
| 11 | 7528 | 13 |
| 12 | 7596 | 13 |
| 13 | 7616 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
Compiled 20 to 11 computations (45% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
Compiled 11 to 7 computations (36.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
Compiled 25 to 13 computations (48% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| 1× | batch-egg-rewrite |
| 520× | log-prod_binary64 |
| 392× | fma-def_binary64 |
| 334× | pow-prod-down_binary64 |
| 289× | pow2_binary64 |
| 199× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 200 | 13 |
| 2 | 3178 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -2)) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) -2) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (-.f64 2 (+.f64 x y)))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 y 3))) (fma.f64 y (+.f64 y (-.f64 2 x)) (pow.f64 (-.f64 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) (+.f64 y (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (-.f64 2 (+.f64 x y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (neg.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (-.f64 2 (+.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 2 (+.f64 x y)))) 2) (cbrt.f64 (/.f64 x (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (-.f64 2 (+.f64 x y)))) (sqrt.f64 (/.f64 x (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) -2) (/.f64 x (cbrt.f64 (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (/.f64 x (sqrt.f64 (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 2 (+.f64 x y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 2 (+.f64 x y)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 y 3))) (fma.f64 y (+.f64 y (-.f64 2 x)) (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) (+.f64 y (-.f64 2 x)) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y))))))))) |
| 1× | egg-herbie |
| 593× | div-sub_binary64 |
| 464× | fma-def_binary64 |
| 394× | times-frac_binary64 |
| 305× | associate-/l*_binary64 |
| 302× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 865 |
| 1 | 343 | 807 |
| 2 | 1252 | 693 |
| 3 | 7180 | 693 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 2 y))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(/.f64 x (-.f64 2 x)) |
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2)))))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 2 y))) |
(neg.f64 (/.f64 y (-.f64 2 y))) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)) |
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)) |
(-.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 y (-.f64 2 y))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))) |
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (-.f64 2 y) (*.f64 x x))))) |
(-.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x))) (/.f64 y (-.f64 2 y))) |
(fma.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x) (-.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 y (-.f64 2 y)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))) |
(+.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (-.f64 2 y) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3)))) |
(+.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x))) (-.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3))) (/.f64 y (-.f64 2 y)))) |
(+.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 y (-.f64 2 y))) (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (+.f64 (*.f64 x x) (/.f64 (pow.f64 x 3) (-.f64 2 y))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (/.f64 (*.f64 y 2) x) (+.f64 1 (/.f64 2 x))) |
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) |
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (/.f64 (*.f64 y 2) x) (+.f64 1 (/.f64 2 x)))) |
(+.f64 (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x))) |
(fma.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x) (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (fma.f64 2 (/.f64 y x) (/.f64 (fma.f64 2 y -2) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 2)))) (+.f64 1 (/.f64 2 x)))) |
(+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x)) (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)))) |
(+.f64 (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (+.f64 (-.f64 2 y) (/.f64 (pow.f64 (-.f64 2 y) 2) x)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (/.f64 (*.f64 y 2) x) (+.f64 1 (/.f64 2 x))) |
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) |
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (/.f64 (*.f64 y 2) x) (+.f64 1 (/.f64 2 x)))) |
(+.f64 (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x))) |
(fma.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x) (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (fma.f64 2 (/.f64 y x) (/.f64 (fma.f64 2 y -2) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 2)))) (+.f64 1 (/.f64 2 x)))) |
(+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x)) (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)))) |
(+.f64 (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (+.f64 (-.f64 2 y) (/.f64 (pow.f64 (-.f64 2 y) 2) x)))) |
(/.f64 x (-.f64 2 x)) |
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))) |
(+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2)))))) |
(-.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) |
(fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (/.f64 x (-.f64 2 x))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)) (+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2))))))) |
(-.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (*.f64 y y) (/.f64 x (-.f64 2 x))) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) |
(fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (fma.f64 (*.f64 y y) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 -1 (pow.f64 (-.f64 2 x) 2))) (/.f64 x (-.f64 2 x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 y 3) (fma.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4)) (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2)))))))) |
(-.f64 (fma.f64 -1 (fma.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (/.f64 x (-.f64 2 x))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (*.f64 y y))) |
(-.f64 (fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (fma.f64 (*.f64 y y) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 -1 (pow.f64 (-.f64 2 x) 2))) (/.f64 x (-.f64 2 x)))) (*.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (-.f64 2 x)) y))) |
(+.f64 (-.f64 1 (/.f64 x y)) (/.f64 (-.f64 2 x) y)) |
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (*.f64 y y) (-.f64 2 x)))) (/.f64 (neg.f64 (-.f64 2 x)) y))) |
(+.f64 (/.f64 (-.f64 2 x) y) (+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) (*.f64 y y)) (fma.f64 -1 x (-.f64 2 x))))) |
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (*.f64 y y) (-.f64 2 x))) 1) (fma.f64 -1 (/.f64 x y) (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))))) (/.f64 (neg.f64 (-.f64 2 x)) y)) |
(+.f64 (+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (fma.f64 -1 x (-.f64 2 x)) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2))) (+.f64 (*.f64 (/.f64 (-.f64 2 x) (*.f64 y y)) (fma.f64 -1 x (-.f64 2 x))) (/.f64 (-.f64 2 x) y))) |
(+.f64 (+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y)) (*.f64 (/.f64 (-.f64 (-.f64 2 x) x) (*.f64 y y)) (+.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) y) (-.f64 2 x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y))) |
(+.f64 1 (neg.f64 (/.f64 (fma.f64 2 x -2) y))) |
(-.f64 1 (/.f64 (fma.f64 2 x -2) y)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2))))) |
(+.f64 1 (*.f64 -1 (+.f64 (/.f64 (fma.f64 2 x -2) y) (/.f64 (fma.f64 2 x -2) (/.f64 (*.f64 y y) (-.f64 2 x)))))) |
(-.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (*.f64 (/.f64 (fma.f64 2 x -2) (*.f64 y y)) (-.f64 2 x))) |
(-.f64 1 (*.f64 (+.f64 1 (/.f64 (-.f64 2 x) y)) (/.f64 (fma.f64 2 x -2) y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2)))))) |
(fma.f64 -1 (/.f64 (fma.f64 2 x -2) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (fma.f64 2 x -2) y) (/.f64 (fma.f64 2 x -2) (/.f64 (*.f64 y y) (-.f64 2 x))))))) |
(-.f64 (-.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (*.f64 (/.f64 (fma.f64 2 x -2) (*.f64 y y)) (-.f64 2 x))) (*.f64 (/.f64 (fma.f64 2 x -2) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 (fma.f64 2 x -2) y) (-.f64 -1 (/.f64 (-.f64 2 x) y))) (*.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (fma.f64 2 x -2) (pow.f64 y 3))))) |
Compiled 2066 to 1291 computations (37.5% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 86 | 10 | 96 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 86 | 11 | 97 |
| Status | Error | Program |
|---|---|---|
| 38.7b | -1 | |
| ▶ | 0.0b | (-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y)))) |
| 38.5b | (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) | |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| ▶ | 0.1b | (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1) |
| ▶ | 40.7b | (+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y)) |
| 40.9b | 1 | |
| 33.4b | (/.f64 (neg.f64 y) (-.f64 2 y)) | |
| ▶ | 30.0b | (/.f64 x (-.f64 2 x)) |
| ▶ | 25.1b | (*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) (+.f64 y (-.f64 2 x))) |
| 0.1b | (fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y))))) |
Compiled 239 to 165 computations (31% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (-.f64 2 (+.f64 x y))) |
| ✓ | 0.0b | (-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y)))) |
| ✓ | 0.0b | (/.f64 y (-.f64 2 (+.f64 x y))) |
Compiled 42 to 19 computations (54.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y)))) |
| 1.0ms | x | @ | inf | (-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y)))) |
| 1.0ms | y | @ | 0 | (/.f64 y (-.f64 2 (+.f64 x y))) |
| 1.0ms | x | @ | -inf | (/.f64 y (-.f64 2 (+.f64 x y))) |
| 1.0ms | x | @ | 0 | (/.f64 y (-.f64 2 (+.f64 x y))) |
| 1× | batch-egg-rewrite |
| 616× | log-prod_binary64 |
| 542× | fma-def_binary64 |
| 330× | pow2_binary64 |
| 281× | log-div_binary64 |
| 278× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 33 |
| 1 | 229 | 33 |
| 2 | 3870 | 33 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (-.f64 2 (+.f64 x y))) |
(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y)))) |
(/.f64 x (-.f64 2 (+.f64 x y))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (-.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 (-.f64 2 x) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (-.f64 (-.f64 2 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 (-.f64 2 x) y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (-.f64 (-.f64 2 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 (-.f64 2 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 (-.f64 2 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 (-.f64 2 x) y))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (-.f64 2 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (-.f64 2 x) y))) 2) (cbrt.f64 (/.f64 x (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 (-.f64 2 x) y))) (sqrt.f64 (/.f64 x (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (-.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (-.f64 2 x) y)) 2)) (/.f64 x (cbrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (-.f64 (-.f64 2 x) y)) 2)) (cbrt.f64 (/.f64 x (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 (-.f64 2 x) y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 (-.f64 2 x) y))) (/.f64 x (sqrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (-.f64 (-.f64 2 x) y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 8 (pow.f64 (+.f64 y x) 3))) (fma.f64 (+.f64 y x) (+.f64 (+.f64 2 x) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 4 (pow.f64 (+.f64 y x) 2))) (+.f64 (+.f64 2 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 (-.f64 2 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 (-.f64 2 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 (-.f64 2 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 (-.f64 2 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (-.f64 2 x) y) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (-.f64 2 x) y) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 (-.f64 2 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 (-.f64 2 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 (-.f64 2 x) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 (-.f64 2 x) y))) 1)))))) |
| 1× | egg-herbie |
| 759× | associate-/l*_binary64 |
| 516× | associate-/r*_binary64 |
| 411× | cancel-sign-sub-inv_binary64 |
| 304× | distribute-rgt-in_binary64 |
| 275× | unsub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 252 | 2393 |
| 1 | 842 | 2276 |
| 2 | 3166 | 1960 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (-.f64 2 x)) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 2)) (/.f64 y (-.f64 2 x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 2)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 3)) (/.f64 y (-.f64 2 x)))) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 (-.f64 2 x) 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 2)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 3)) (/.f64 y (-.f64 2 x))))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 y)) 1)) |
(-.f64 (+.f64 (/.f64 x y) (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 2))) (+.f64 1 (*.f64 2 (/.f64 1 y)))) |
(-.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 2)))) (+.f64 1 (*.f64 2 (/.f64 1 y)))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2))))) 1) |
(/.f64 y (-.f64 2 y)) |
(+.f64 (/.f64 y (-.f64 2 y)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 y (-.f64 2 y)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2)))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 4)) (+.f64 (/.f64 y (-.f64 2 y)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2))))) |
(*.f64 -1 (/.f64 y x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) y) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) y) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 3) y) (pow.f64 x 4))) (*.f64 -1 (/.f64 y x))))) |
(*.f64 -1 (/.f64 y x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) y) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) y) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 3) y) (pow.f64 x 4))) (*.f64 -1 (/.f64 y x))))) |
(*.f64 -1 (/.f64 y (-.f64 2 y))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 1 (-.f64 2 y))) x)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 3))) (/.f64 1 (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 1 (-.f64 2 y))) x))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 4))) (/.f64 1 (pow.f64 (-.f64 2 y) 3))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 3))) (/.f64 1 (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 1 (-.f64 2 y))) x)))) |
-1 |
(-.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (/.f64 y x))))) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (/.f64 y x)))))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) y) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2)) (pow.f64 x 3)))))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 y)) x)) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 y)) x)) (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 y)) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2))) (*.f64 -1 (*.f64 (pow.f64 (-.f64 2 y) 2) y))) (pow.f64 x 3))) (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))))) 1) |
(/.f64 x (-.f64 2 x)) |
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))) |
1 |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) (/.f64 x y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))))) (+.f64 (/.f64 x y) (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))))) (+.f64 (/.f64 x y) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) x) (pow.f64 y 3)) (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 2 x) x) (*.f64 (-.f64 2 x) (-.f64 x 2))) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 2 x) x) (*.f64 (-.f64 2 x) (-.f64 x 2))) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) x) (pow.f64 y 3))))))) |
(/.f64 x (-.f64 2 y)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 2)) (/.f64 x (-.f64 2 y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 2)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 3)) (/.f64 x (-.f64 2 y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 2)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 x (-.f64 2 y)) (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 2 y) 4))))) |
-1 |
(-.f64 (/.f64 y x) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2)) (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2)) (+.f64 (/.f64 y x) (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 2 y) x)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 y) x)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 y) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 y) 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 2))))) 1) |
(/.f64 x (-.f64 2 x)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 x) 2)) (/.f64 x (-.f64 2 x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 2 x) 3)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 x) 2)) (/.f64 x (-.f64 2 x)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 2 x) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 (-.f64 2 x) 4)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 x) 2)) (/.f64 x (-.f64 2 x))))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) x) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) x) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 3) x) (pow.f64 y 4))) (*.f64 -1 (/.f64 x y))))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) x) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) x) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 3) x) (pow.f64 y 4))) (*.f64 -1 (/.f64 x y))))) |
| Outputs |
|---|
(/.f64 y (-.f64 2 x)) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 2)) (/.f64 y (-.f64 2 x))) |
(+.f64 (/.f64 y (-.f64 2 x)) (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 2))) |
(+.f64 (/.f64 y (-.f64 2 x)) (/.f64 y (/.f64 (pow.f64 (-.f64 2 x) 2) y))) |
(*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (-.f64 2 x))) |
(+.f64 (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 2)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 3)) (/.f64 y (-.f64 2 x)))) |
(+.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 2)) (+.f64 (/.f64 y (-.f64 2 x)) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 3)))) |
(+.f64 (/.f64 y (/.f64 (pow.f64 (-.f64 2 x) 2) y)) (+.f64 (/.f64 y (-.f64 2 x)) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 3)))) |
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (-.f64 2 x))) (pow.f64 (/.f64 y (-.f64 2 x)) 3)) |
(+.f64 (/.f64 (pow.f64 y 4) (pow.f64 (-.f64 2 x) 4)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 2)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 3)) (/.f64 y (-.f64 2 x))))) |
(+.f64 (+.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 2)) (+.f64 (/.f64 y (-.f64 2 x)) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 3)))) (/.f64 (pow.f64 y 4) (pow.f64 (-.f64 2 x) 4))) |
(+.f64 (/.f64 y (/.f64 (pow.f64 (-.f64 2 x) 2) y)) (+.f64 (+.f64 (/.f64 y (-.f64 2 x)) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 3))) (/.f64 (pow.f64 y 4) (pow.f64 (-.f64 2 x) 4)))) |
(+.f64 (+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (-.f64 2 x))) (pow.f64 (/.f64 y (-.f64 2 x)) 3)) (/.f64 (pow.f64 y 4) (pow.f64 (-.f64 2 x) 4))) |
-1 |
(-.f64 (/.f64 x y) (+.f64 (*.f64 2 (/.f64 1 y)) 1)) |
(-.f64 (/.f64 x y) (+.f64 1 (/.f64 2 y))) |
(+.f64 (/.f64 (+.f64 x -2) y) -1) |
(-.f64 (+.f64 (/.f64 x y) (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 2))) (+.f64 1 (*.f64 2 (/.f64 1 y)))) |
(+.f64 (/.f64 x y) (-.f64 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) (+.f64 x -2))) (+.f64 1 (/.f64 2 y)))) |
(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 (-.f64 2 x) (*.f64 y y)) (+.f64 x -2)) (+.f64 1 (/.f64 2 y)))) |
(+.f64 (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (+.f64 x -2) y)) (+.f64 (/.f64 (+.f64 x -2) y) -1)) |
(-.f64 (+.f64 (/.f64 x y) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 2)))) (+.f64 1 (*.f64 2 (/.f64 1 y)))) |
(+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) (+.f64 x -2))) (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 3) (+.f64 x -2)))) (+.f64 1 (/.f64 2 y)))) |
(+.f64 (/.f64 x y) (+.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (*.f64 (/.f64 (-.f64 2 x) (*.f64 y y)) (+.f64 x -2)) (+.f64 1 (/.f64 2 y))))) |
(+.f64 (*.f64 (/.f64 (+.f64 x -2) y) (*.f64 (+.f64 1 (/.f64 (-.f64 2 x) y)) (/.f64 (-.f64 2 x) y))) (+.f64 (/.f64 (+.f64 x -2) y) -1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) 1) |
(fma.f64 -1 (/.f64 (-.f64 2 x) y) -1) |
(-.f64 -1 (/.f64 (-.f64 2 x) y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2)))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (-.f64 2 x) y) (neg.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))) -1) |
(fma.f64 -1 (+.f64 (/.f64 (-.f64 2 x) y) (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) -1) |
(-.f64 -1 (*.f64 (+.f64 1 (/.f64 (-.f64 2 x) y)) (/.f64 (-.f64 2 x) y))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2))))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (-.f64 2 x) y) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 y 3)) (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))))) -1) |
(+.f64 -1 (-.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) (/.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 y 3))) (/.f64 (-.f64 2 x) y))) |
(+.f64 -1 (-.f64 (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 -1 (/.f64 (-.f64 2 x) y))) (pow.f64 (/.f64 (-.f64 2 x) y) 3))) |
(/.f64 y (-.f64 2 y)) |
(+.f64 (/.f64 y (-.f64 2 y)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2))) |
(*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 y (-.f64 2 y))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 y (-.f64 2 y)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2)))) |
(+.f64 (+.f64 (/.f64 y (-.f64 2 y)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2))) (/.f64 y (/.f64 (pow.f64 (-.f64 2 y) 3) (*.f64 x x)))) |
(+.f64 (/.f64 y (-.f64 2 y)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2)) (/.f64 y (/.f64 (pow.f64 (-.f64 2 y) 3) (*.f64 x x))))) |
(+.f64 (/.f64 y (-.f64 2 y)) (*.f64 (/.f64 y (pow.f64 (-.f64 2 y) 2)) (+.f64 x (/.f64 x (/.f64 (-.f64 2 y) x))))) |
(+.f64 (/.f64 (*.f64 y (pow.f64 x 2)) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 4)) (+.f64 (/.f64 y (-.f64 2 y)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2))))) |
(+.f64 (/.f64 y (/.f64 (pow.f64 (-.f64 2 y) 3) (*.f64 x x))) (+.f64 (+.f64 (/.f64 y (-.f64 2 y)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2))) (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 4)))) |
(+.f64 (+.f64 (/.f64 y (-.f64 2 y)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2))) (+.f64 (/.f64 y (/.f64 (pow.f64 (-.f64 2 y) 3) (*.f64 x x))) (*.f64 (/.f64 y (pow.f64 (-.f64 2 y) 4)) (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 y (-.f64 2 y)) (*.f64 (/.f64 y (pow.f64 (-.f64 2 y) 4)) (pow.f64 x 3))) (*.f64 (/.f64 y (pow.f64 (-.f64 2 y) 2)) (+.f64 x (/.f64 x (/.f64 (-.f64 2 y) x))))) |
(*.f64 -1 (/.f64 y x)) |
(neg.f64 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) |
(fma.f64 -1 (/.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x)) (neg.f64 (/.f64 y x))) |
(-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) y)) |
(*.f64 (/.f64 y x) (-.f64 -1 (/.f64 (-.f64 2 y) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) y) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) |
(fma.f64 -1 (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) y)) (fma.f64 -1 (/.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x)) (neg.f64 (/.f64 y x)))) |
(-.f64 (-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) y)) (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3)) y)) |
(-.f64 (*.f64 (/.f64 y x) (*.f64 (/.f64 (-.f64 2 y) x) (-.f64 -1 (/.f64 (-.f64 2 y) x)))) (/.f64 y x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) y) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 3) y) (pow.f64 x 4))) (*.f64 -1 (/.f64 y x))))) |
(fma.f64 -1 (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) y)) (fma.f64 -1 (/.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (-.f64 2 y) 3) (/.f64 (pow.f64 x 4) y)) (/.f64 y x))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 3) (pow.f64 x 4)) y)) (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) y)) (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3)) y)) |
(-.f64 (-.f64 (*.f64 (/.f64 y x) (*.f64 (/.f64 (-.f64 2 y) x) (-.f64 -1 (/.f64 (-.f64 2 y) x)))) (/.f64 y x)) (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 3) (pow.f64 x 4)) y)) |
(*.f64 -1 (/.f64 y x)) |
(neg.f64 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) |
(fma.f64 -1 (/.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x)) (neg.f64 (/.f64 y x))) |
(-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) y)) |
(*.f64 (/.f64 y x) (-.f64 -1 (/.f64 (-.f64 2 y) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) y) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) |
(fma.f64 -1 (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) y)) (fma.f64 -1 (/.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x)) (neg.f64 (/.f64 y x)))) |
(-.f64 (-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) y)) (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3)) y)) |
(-.f64 (*.f64 (/.f64 y x) (*.f64 (/.f64 (-.f64 2 y) x) (-.f64 -1 (/.f64 (-.f64 2 y) x)))) (/.f64 y x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) y) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 3) y) (pow.f64 x 4))) (*.f64 -1 (/.f64 y x))))) |
(fma.f64 -1 (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) y)) (fma.f64 -1 (/.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (-.f64 2 y) 3) (/.f64 (pow.f64 x 4) y)) (/.f64 y x))))) |
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 3) (pow.f64 x 4)) y)) (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) y)) (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3)) y)) |
(-.f64 (-.f64 (*.f64 (/.f64 y x) (*.f64 (/.f64 (-.f64 2 y) x) (-.f64 -1 (/.f64 (-.f64 2 y) x)))) (/.f64 y x)) (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 3) (pow.f64 x 4)) y)) |
(*.f64 -1 (/.f64 y (-.f64 2 y))) |
(neg.f64 (/.f64 y (-.f64 2 y))) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 1 (-.f64 2 y))) x)) |
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (*.f64 x (fma.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 2)) (/.f64 1 (-.f64 2 y))))) |
(-.f64 (*.f64 x (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2)))) (/.f64 y (-.f64 2 y))) |
(fma.f64 x (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (neg.f64 y) (-.f64 2 y))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 3))) (/.f64 1 (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 1 (-.f64 2 y))) x))) |
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (fma.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 3)) (/.f64 1 (pow.f64 (-.f64 2 y) 2))) (*.f64 x x) (*.f64 x (fma.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 2)) (/.f64 1 (-.f64 2 y)))))) |
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (*.f64 (*.f64 x x) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (/.f64 y (pow.f64 (-.f64 2 y) 3))))) (/.f64 y (-.f64 2 y))) |
(-.f64 (*.f64 x (+.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (/.f64 y (pow.f64 (-.f64 2 y) 3))) x))) (/.f64 y (-.f64 2 y))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 4))) (/.f64 1 (pow.f64 (-.f64 2 y) 3))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 3))) (/.f64 1 (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 1 (-.f64 2 y))) x)))) |
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (fma.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 4)) (/.f64 1 (pow.f64 (-.f64 2 y) 3))) (pow.f64 x 3) (fma.f64 (fma.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 3)) (/.f64 1 (pow.f64 (-.f64 2 y) 2))) (*.f64 x x) (*.f64 x (fma.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 2)) (/.f64 1 (-.f64 2 y))))))) |
(-.f64 (fma.f64 (pow.f64 x 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (/.f64 y (pow.f64 (-.f64 2 y) 4))) (fma.f64 x (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (*.f64 (*.f64 x x) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (/.f64 y (pow.f64 (-.f64 2 y) 3)))))) (/.f64 y (-.f64 2 y))) |
(-.f64 (fma.f64 (pow.f64 x 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (/.f64 y (pow.f64 (-.f64 2 y) 4))) (*.f64 x (+.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (/.f64 y (pow.f64 (-.f64 2 y) 3))) x)))) (/.f64 y (-.f64 2 y))) |
-1 |
(-.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (/.f64 y x))))) |
(-.f64 (/.f64 y x) (+.f64 1 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 2 x)))) |
(-.f64 (+.f64 (/.f64 y x) -1) (/.f64 (-.f64 2 y) x)) |
(+.f64 (/.f64 y x) (-.f64 -1 (/.f64 (-.f64 2 y) x))) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (/.f64 y x)))))) |
(-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x))) (fma.f64 -1 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (*.f64 x x)) (+.f64 1 (+.f64 (neg.f64 (/.f64 y x)) (/.f64 2 x))))) |
(+.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) y) (-.f64 (+.f64 1 (/.f64 (-.f64 2 y) x)) (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) (+.f64 y -2))))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 (/.f64 (-.f64 2 y) x) x) (+.f64 y (+.f64 y -2))) (-.f64 -1 (/.f64 (-.f64 2 y) x)))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) y) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2)) (pow.f64 x 3)))))))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x)) (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) y)))) (fma.f64 -1 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 2 x) (*.f64 -1 (+.f64 (/.f64 y x) (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) (+.f64 y -2))))))))) |
(-.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3)) y) (+.f64 (/.f64 y x) (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) y))) (-.f64 (+.f64 1 (-.f64 (/.f64 (-.f64 2 y) x) (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3)) (+.f64 y -2)))) (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) (+.f64 y -2)))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 y x) (*.f64 (+.f64 1 (/.f64 (-.f64 2 y) x)) (/.f64 (-.f64 2 y) x))) (+.f64 -1 (-.f64 (*.f64 (/.f64 (-.f64 2 y) x) (-.f64 -1 (/.f64 (-.f64 2 y) x))) (pow.f64 (/.f64 (-.f64 2 y) x) 3))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 y)) x)) 1) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 -2 y)) x) -1) |
(fma.f64 -1 (/.f64 (+.f64 2 (*.f64 y -2)) x) -1) |
(-.f64 -1 (/.f64 (+.f64 2 (*.f64 y -2)) x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 y)) x)) (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2)))) 1) |
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(+.f64 -1 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 2 y) x) x) (+.f64 (+.f64 y -2) y)) (/.f64 (+.f64 2 (*.f64 y -2)) x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 y)) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2))) (*.f64 -1 (*.f64 (pow.f64 (-.f64 2 y) 2) y))) (pow.f64 x 3))) (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2))))) 1) |
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(/.f64 x (-.f64 2 x)) |
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))) |
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(-.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))) |
(fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3))))) (+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)))))))) |
(-.f64 (-.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (*.f64 y (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))) |
(fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3))))) (+.f64 (/.f64 x (-.f64 2 x)) (fma.f64 -1 (*.f64 (pow.f64 y 3) (fma.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4)) (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (neg.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2))))))))) |
(-.f64 (fma.f64 -1 (fma.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (/.f64 x (-.f64 2 x))) (*.f64 y (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))))) |
(-.f64 (-.f64 (/.f64 x (-.f64 2 x)) (fma.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2)))))) (*.f64 y (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))))) |
1 |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) (/.f64 x y)) |
(+.f64 (/.f64 2 y) (-.f64 (+.f64 1 (neg.f64 (/.f64 x y))) (/.f64 x y))) |
(+.f64 (-.f64 1 (/.f64 x y)) (/.f64 (-.f64 2 x) y)) |
(+.f64 (+.f64 1 (/.f64 2 y)) (*.f64 (/.f64 x y) -2)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))))) (+.f64 (/.f64 x y) (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2)))) |
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(+.f64 1 (-.f64 (-.f64 (-.f64 (/.f64 (-.f64 2 x) y) (*.f64 (/.f64 (-.f64 2 x) (*.f64 y y)) (+.f64 x -2))) (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y)))) |
(+.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 2 x) y)) (/.f64 (-.f64 2 x) y)) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (-.f64 2 x) y)) (/.f64 x y)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))))) (+.f64 (/.f64 x y) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) x) (pow.f64 y 3)) (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))))) |
(-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (fma.f64 -1 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) (+.f64 x -2))) (+.f64 (/.f64 2 y) (neg.f64 (/.f64 x y)))))) (+.f64 (/.f64 x y) (+.f64 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) x)) (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 3) x))))) |
(+.f64 (-.f64 (-.f64 (/.f64 (-.f64 2 x) y) (*.f64 (/.f64 (-.f64 2 x) (*.f64 y y)) (+.f64 x -2))) (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 3) (+.f64 x -2)))) (-.f64 1 (+.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y)) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))))))) |
(+.f64 1 (-.f64 (+.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 2 x) y)) (/.f64 (-.f64 2 x) y)) (pow.f64 (/.f64 (-.f64 2 x) y) 3)) (+.f64 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 (-.f64 2 x) y)) (/.f64 (-.f64 2 x) y)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y))) |
(+.f64 1 (neg.f64 (/.f64 (fma.f64 2 x -2) y))) |
(-.f64 1 (/.f64 (fma.f64 2 x -2) y)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 2 x) x) (*.f64 (-.f64 2 x) (-.f64 x 2))) (pow.f64 y 2))))) |
(+.f64 1 (*.f64 -1 (+.f64 (/.f64 (fma.f64 2 x -2) y) (/.f64 (*.f64 (-.f64 2 x) (+.f64 x (+.f64 x -2))) (*.f64 y y))))) |
(-.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (+.f64 x (+.f64 x -2)) y))) |
(-.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) (fma.f64 2 x -2)))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 2 x) x) (*.f64 (-.f64 2 x) (-.f64 x 2))) (pow.f64 y 2))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) x) (pow.f64 y 3))))))) |
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(+.f64 1 (-.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 3) (+.f64 x -2)))) (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (+.f64 x (+.f64 x -2)) y))) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2)))) (/.f64 (fma.f64 2 x -2) y))) |
(+.f64 1 (-.f64 (-.f64 (-.f64 (pow.f64 (/.f64 (-.f64 2 x) y) 3) (/.f64 (fma.f64 2 x -2) y)) (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) (fma.f64 2 x -2)))) (*.f64 (/.f64 x (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2)))) |
(/.f64 x (-.f64 2 y)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 2)) (/.f64 x (-.f64 2 y))) |
(+.f64 (/.f64 x (-.f64 2 y)) (/.f64 (*.f64 x x) (pow.f64 (-.f64 2 y) 2))) |
(*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 2)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 3)) (/.f64 x (-.f64 2 y)))) |
(+.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 2 y) 2)) (+.f64 (/.f64 x (-.f64 2 y)) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 3)))) |
(+.f64 (*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y))) (pow.f64 (/.f64 x (-.f64 2 y)) 3)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 2)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 x (-.f64 2 y)) (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 2 y) 4))))) |
(+.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 2 y) 2)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 x (-.f64 2 y)) (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 2 y) 4))))) |
(+.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 2 y) 2)) (+.f64 (/.f64 x (-.f64 2 y)) (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 3)) (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 2 y) 4))))) |
(+.f64 (+.f64 (*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y))) (pow.f64 (/.f64 x (-.f64 2 y)) 3)) (/.f64 (pow.f64 x 4) (pow.f64 (-.f64 2 y) 4))) |
-1 |
(-.f64 (/.f64 y x) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (/.f64 y x) (+.f64 1 (/.f64 2 x))) |
(-.f64 -1 (/.f64 (-.f64 2 y) x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2)) (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (*.f64 x x)) (-.f64 (/.f64 y x) (+.f64 1 (/.f64 2 x)))) |
(+.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) (+.f64 y -2)) (+.f64 1 (/.f64 2 x)))) |
(+.f64 -1 (*.f64 (/.f64 (-.f64 2 y) x) (-.f64 -1 (/.f64 (-.f64 2 y) x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2)) (+.f64 (/.f64 y x) (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (*.f64 x x)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) (+.f64 y -2))))) (+.f64 1 (/.f64 2 x))) |
(+.f64 (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) (+.f64 y -2)) (+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3)) (+.f64 y -2)) (-.f64 (/.f64 y x) (+.f64 1 (/.f64 2 x))))) |
(+.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (*.f64 x x)) (-.f64 -1 (/.f64 (-.f64 2 y) x)))) (+.f64 -1 (/.f64 -2 x))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 2 y) x)) 1) |
(-.f64 (/.f64 y x) (+.f64 1 (/.f64 2 x))) |
(-.f64 -1 (/.f64 (-.f64 2 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 y) x)) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 2)))) 1) |
(+.f64 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (*.f64 x x)) (-.f64 (/.f64 y x) (+.f64 1 (/.f64 2 x)))) |
(+.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) (+.f64 y -2)) (+.f64 1 (/.f64 2 x)))) |
(+.f64 -1 (*.f64 (/.f64 (-.f64 2 y) x) (-.f64 -1 (/.f64 (-.f64 2 y) x)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 y) x)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 y) 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 2))))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (-.f64 2 y) x) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (-.f64 2 y) 3) (pow.f64 x 3)) (/.f64 (pow.f64 (-.f64 2 y) 2) (*.f64 x x))))) -1) |
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(+.f64 -1 (-.f64 (*.f64 (/.f64 (-.f64 2 y) x) (-.f64 -1 (/.f64 (-.f64 2 y) x))) (pow.f64 (/.f64 (-.f64 2 y) x) 3))) |
(/.f64 x (-.f64 2 x)) |
(+.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 x) 2)) (/.f64 x (-.f64 2 x))) |
(+.f64 (/.f64 x (-.f64 2 x)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 x) 2))) |
(+.f64 (/.f64 x (-.f64 2 x)) (/.f64 x (/.f64 (pow.f64 (-.f64 2 x) 2) y))) |
(*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 x (-.f64 2 x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 2 x) 3)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 x) 2)) (/.f64 x (-.f64 2 x)))) |
(+.f64 (+.f64 (/.f64 x (-.f64 2 x)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 x) 2))) (/.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 2 x) 3))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 (-.f64 2 x) 2) y)) (+.f64 (/.f64 x (-.f64 2 x)) (/.f64 x (/.f64 (pow.f64 (-.f64 2 x) 3) (*.f64 y y))))) |
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 x (+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (/.f64 y (/.f64 (pow.f64 (-.f64 2 x) 3) y))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 2 x) 3)) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) x) (pow.f64 (-.f64 2 x) 4)) (+.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 x) 2)) (/.f64 x (-.f64 2 x))))) |
(+.f64 (+.f64 (/.f64 (*.f64 x (*.f64 y y)) (pow.f64 (-.f64 2 x) 3)) (/.f64 (*.f64 x (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 4))) (+.f64 (/.f64 x (-.f64 2 x)) (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 x) 2)))) |
(+.f64 (+.f64 (/.f64 x (-.f64 2 x)) (/.f64 x (/.f64 (pow.f64 (-.f64 2 x) 2) y))) (+.f64 (/.f64 x (/.f64 (pow.f64 (-.f64 2 x) 3) (*.f64 y y))) (/.f64 (*.f64 x (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 4)))) |
(+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 x (-.f64 2 x))) (*.f64 x (+.f64 (/.f64 y (/.f64 (pow.f64 (-.f64 2 x) 3) y)) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4))))) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (+.f64 (/.f64 x y) (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) x)))) |
(-.f64 (neg.f64 (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) |
(*.f64 (/.f64 x y) (-.f64 -1 (/.f64 (-.f64 2 x) y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) x) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) |
(fma.f64 -1 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) x)) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 3) x)) (neg.f64 (/.f64 x y)))) |
(-.f64 (-.f64 (neg.f64 (/.f64 x y)) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2)))) (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) |
(-.f64 (neg.f64 (/.f64 x y)) (*.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 (-.f64 2 x) y)) (/.f64 (-.f64 2 x) y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) x) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 3) x) (pow.f64 y 4))) (*.f64 -1 (/.f64 x y))))) |
(fma.f64 -1 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) x)) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 3) x)) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 3) (/.f64 (pow.f64 y 4) x)) (neg.f64 (/.f64 x y))))) |
(-.f64 (-.f64 (-.f64 (neg.f64 (/.f64 x y)) (/.f64 x (/.f64 (pow.f64 y 4) (pow.f64 (-.f64 2 x) 3)))) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2)))) (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) |
(-.f64 (-.f64 (neg.f64 (/.f64 x y)) (*.f64 (/.f64 x (pow.f64 y 4)) (pow.f64 (-.f64 2 x) 3))) (*.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 (-.f64 2 x) y)) (/.f64 (-.f64 2 x) y)))) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (+.f64 (/.f64 x y) (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) x)))) |
(-.f64 (neg.f64 (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) |
(*.f64 (/.f64 x y) (-.f64 -1 (/.f64 (-.f64 2 x) y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) x) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) |
(fma.f64 -1 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) x)) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 3) x)) (neg.f64 (/.f64 x y)))) |
(-.f64 (-.f64 (neg.f64 (/.f64 x y)) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2)))) (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) |
(-.f64 (neg.f64 (/.f64 x y)) (*.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 (-.f64 2 x) y)) (/.f64 (-.f64 2 x) y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) x) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 3) x) (pow.f64 y 4))) (*.f64 -1 (/.f64 x y))))) |
(fma.f64 -1 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) x)) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 3) x)) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 3) (/.f64 (pow.f64 y 4) x)) (neg.f64 (/.f64 x y))))) |
(-.f64 (-.f64 (-.f64 (neg.f64 (/.f64 x y)) (/.f64 x (/.f64 (pow.f64 y 4) (pow.f64 (-.f64 2 x) 3)))) (/.f64 x (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2)))) (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) |
(-.f64 (-.f64 (neg.f64 (/.f64 x y)) (*.f64 (/.f64 x (pow.f64 y 4)) (pow.f64 (-.f64 2 x) 3))) (*.f64 (/.f64 x y) (*.f64 (+.f64 1 (/.f64 (-.f64 2 x) y)) (/.f64 (-.f64 2 x) y)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (-.f64 2 x)) |
Compiled 12 to 8 computations (33.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 x (-.f64 2 x)) |
| 0.0ms | x | @ | inf | (/.f64 x (-.f64 2 x)) |
| 0.0ms | x | @ | -inf | (/.f64 x (-.f64 2 x)) |
| 1× | batch-egg-rewrite |
| 678× | pow1_binary64 |
| 638× | add-log-exp_binary64 |
| 637× | log1p-expm1-u_binary64 |
| 637× | expm1-log1p-u_binary64 |
| 627× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 117 | 7 |
| 2 | 1625 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (-.f64 2 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (-.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) 2) (cbrt.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 2 x))) (sqrt.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (cbrt.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 x))) (/.f64 x (sqrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 2 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 8 (pow.f64 x 3))) (+.f64 4 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 4 (*.f64 x x))) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 2 x)))))))) |
| 1× | egg-herbie |
| 805× | unswap-sqr_binary64 |
| 507× | associate-/r*_binary64 |
| 487× | fma-def_binary64 |
| 380× | fma-neg_binary64 |
| 268× | distribute-lft-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 168 |
| 1 | 101 | 156 |
| 2 | 277 | 153 |
| 3 | 886 | 145 |
| 4 | 2728 | 145 |
| 5 | 6724 | 145 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/4 (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/16 (pow.f64 x 4)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/4 (pow.f64 x 2))) |
(fma.f64 1/2 x (*.f64 1/4 (*.f64 x x))) |
(fma.f64 1/2 x (*.f64 x (*.f64 x 1/4))) |
(*.f64 x (+.f64 (*.f64 x 1/4) 1/2)) |
(*.f64 x (fma.f64 x 1/4 1/2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))) |
(fma.f64 1/2 x (fma.f64 1/4 (*.f64 x x) (*.f64 1/8 (pow.f64 x 3)))) |
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 x 1/8)))) |
(*.f64 x (+.f64 (*.f64 x (fma.f64 x 1/8 1/4)) 1/2)) |
(*.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/8 1/4)))) |
(+.f64 (*.f64 1/16 (pow.f64 x 4)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))) |
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/2 x (fma.f64 1/4 (*.f64 x x) (*.f64 1/8 (pow.f64 x 3))))) |
(fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 x 1/8))))) |
(fma.f64 x (fma.f64 x 1/4 1/2) (*.f64 (pow.f64 x 3) (+.f64 1/8 (*.f64 x 1/16)))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(-.f64 -1 (/.f64 2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 4 (*.f64 x x))) |
(+.f64 (-.f64 -1 (/.f64 2 x)) (/.f64 -4 (*.f64 x x))) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 3))))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 3))))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x))))) |
(+.f64 -1 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(-.f64 -1 (/.f64 2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 4 (*.f64 x x))) |
(+.f64 (-.f64 -1 (/.f64 2 x)) (/.f64 -4 (*.f64 x x))) |
(+.f64 -1 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x)))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 1 (/.f64 8 (pow.f64 x 3))) (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 3))))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -8 (pow.f64 x 3))))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (-.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x))))) |
(+.f64 -1 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (-.f64 2 x) x) |
| ✓ | 0.0b | (/.f64 (-.f64 (-.f64 2 x) x) y) |
Compiled 30 to 19 computations (36.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 (-.f64 (-.f64 2 x) x) y) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (-.f64 2 x) x) y) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 (-.f64 2 x) x) y) |
| 0.0ms | y | @ | -inf | (/.f64 (-.f64 (-.f64 2 x) x) y) |
| 0.0ms | y | @ | inf | (/.f64 (-.f64 (-.f64 2 x) x) y) |
| 1× | batch-egg-rewrite |
| 795× | prod-diff_binary64 |
| 605× | unpow-prod-down_binary64 |
| 430× | log-prod_binary64 |
| 271× | fma-def_binary64 |
| 240× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 171 | 17 |
| 2 | 2633 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (-.f64 2 x) x) y) |
(-.f64 (-.f64 2 x) x) |
| Outputs |
|---|
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egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 2 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (-.f64 2 x))) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 4 (*.f64 x x)) (/.f64 1 (+.f64 2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 4 (*.f64 x x)) (/.f64 1 (+.f64 2 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (-.f64 2 x)) (sqrt.f64 x)) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 2 x)))))) |
| 1× | egg-herbie |
| 528× | fma-def_binary64 |
| 304× | fma-neg_binary64 |
| 95× | cancel-sign-sub-inv_binary64 |
| 71× | div-sub_binary64 |
| 58× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 321 |
| 1 | 35 | 303 |
| 2 | 58 | 240 |
| 3 | 84 | 240 |
| 4 | 148 | 240 |
| 5 | 281 | 240 |
| 6 | 498 | 240 |
| 7 | 828 | 240 |
| 8 | 1286 | 240 |
| 9 | 1848 | 240 |
| 10 | 1937 | 240 |
| 11 | 1953 | 240 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 2 y) |
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 2 (/.f64 1 y))) |
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 2 (/.f64 1 y))) |
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 2 (/.f64 1 y))) |
(*.f64 -2 (/.f64 x y)) |
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y))) |
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y))) |
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y))) |
(*.f64 -2 (/.f64 x y)) |
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y))) |
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y))) |
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y))) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
2 |
(+.f64 2 (*.f64 -2 x)) |
(+.f64 2 (*.f64 -2 x)) |
(+.f64 2 (*.f64 -2 x)) |
(*.f64 -2 x) |
(+.f64 2 (*.f64 -2 x)) |
(+.f64 2 (*.f64 -2 x)) |
(+.f64 2 (*.f64 -2 x)) |
(*.f64 -2 x) |
(+.f64 2 (*.f64 -2 x)) |
(+.f64 2 (*.f64 -2 x)) |
(+.f64 2 (*.f64 -2 x)) |
| Outputs |
|---|
(/.f64 2 y) |
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 2 (/.f64 1 y))) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 2 (/.f64 1 y))) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(+.f64 (*.f64 -2 (/.f64 x y)) (*.f64 2 (/.f64 1 y))) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(*.f64 -2 (/.f64 x y)) |
(/.f64 -2 (/.f64 y x)) |
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(*.f64 -2 (/.f64 x y)) |
(/.f64 -2 (/.f64 y x)) |
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -2 (/.f64 x y))) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
(/.f64 (-.f64 2 (*.f64 2 x)) y) |
(fma.f64 -2 (/.f64 x y) (/.f64 2 y)) |
(/.f64 (fma.f64 -2 x 2) y) |
2 |
(+.f64 2 (*.f64 -2 x)) |
(fma.f64 -2 x 2) |
(+.f64 2 (*.f64 -2 x)) |
(fma.f64 -2 x 2) |
(+.f64 2 (*.f64 -2 x)) |
(fma.f64 -2 x 2) |
(*.f64 -2 x) |
(+.f64 2 (*.f64 -2 x)) |
(fma.f64 -2 x 2) |
(+.f64 2 (*.f64 -2 x)) |
(fma.f64 -2 x 2) |
(+.f64 2 (*.f64 -2 x)) |
(fma.f64 -2 x 2) |
(*.f64 -2 x) |
(+.f64 2 (*.f64 -2 x)) |
(fma.f64 -2 x 2) |
(+.f64 2 (*.f64 -2 x)) |
(fma.f64 -2 x 2) |
(+.f64 2 (*.f64 -2 x)) |
(fma.f64 -2 x 2) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) |
| ✓ | 0.1b | (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1) |
Compiled 37 to 16 computations (56.8% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1) |
| 2.0ms | x | @ | 0 | (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1) |
| 2.0ms | y | @ | -inf | (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1) |
| 1.0ms | y | @ | inf | (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1) |
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1) |
| 1× | batch-egg-rewrite |
| 722× | prod-diff_binary64 |
| 565× | log-prod_binary64 |
| 309× | fma-def_binary64 |
| 215× | expm1-udef_binary64 |
| 215× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 238 | 26 |
| 2 | 3505 | 26 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1) |
(/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 (-.f64 2 x) y)) (/.f64 y (-.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (-.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 (-.f64 2 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 x) y) 2))) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 x) y) 2))) (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (pow.f64 (-.f64 (-.f64 2 x) y) 2))) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 (-.f64 2 x) y))) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (-.f64 (-.f64 2 x) y))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 (-.f64 2 x) y))) (/.f64 (sqrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 (-.f64 2 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (-.f64 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(-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (-.f64 2 x) y) 3) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (-.f64 x y)) (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (-.f64 x y)) (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 2 (-.f64 x y))) (cbrt.f64 (/.f64 2 (-.f64 x y)))) (cbrt.f64 (/.f64 2 (-.f64 x y))) (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 (-.f64 x y))) (sqrt.f64 (/.f64 2 (-.f64 x y))) (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (*.f64 x x)) (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y) (neg.f64 (/.f64 (+.f64 x y) (-.f64 x y)))))))) |
| 1× | egg-herbie |
| 443× | cancel-sign-sub-inv_binary64 |
| 291× | fma-neg_binary64 |
| 288× | unsub-neg_binary64 |
| 272× | distribute-rgt-neg-in_binary64 |
| 267× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 267 | 2539 |
| 1 | 978 | 2331 |
| 2 | 4488 | 2174 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 2 y))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x)) (pow.f64 (-.f64 2 y) 2)))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x)) (pow.f64 (-.f64 2 y) 2))) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) (pow.f64 (-.f64 2 y) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) 2)) (pow.f64 (-.f64 2 y) 3))))))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x)) (pow.f64 (-.f64 2 y) 2))) (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 y 2)))) (+.f64 (/.f64 (*.f64 y (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) (pow.f64 (-.f64 2 y) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) 2)) (pow.f64 (-.f64 2 y) 3))))) (-.f64 2 y)) (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) 2)) (pow.f64 (-.f64 2 y) 3)) (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (-.f64 2 y) 2) y)))))) (pow.f64 x 3)) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) (pow.f64 (-.f64 2 y) 2)) (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) 2)) (pow.f64 (-.f64 2 y) 3)))))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 (*.f64 2 y)))) (*.f64 y (-.f64 2 (*.f64 2 y)))) (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 (*.f64 2 y)))) (*.f64 y (-.f64 2 (*.f64 2 y)))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 2 (*.f64 2 y)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 (*.f64 2 y)))) (*.f64 y (-.f64 2 (*.f64 2 y))))) (+.f64 (*.f64 (pow.f64 y 2) (-.f64 2 (*.f64 2 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 2 y) 2) (*.f64 y (-.f64 2 (*.f64 2 y))))))) (pow.f64 x 3))))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 y)) x)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 2 y)) 2) (*.f64 y (-.f64 2 (*.f64 2 y)))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 y)) x))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 2 (*.f64 2 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 2 y)) 2) (*.f64 y (-.f64 2 (*.f64 2 y)))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 y)) x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (pow.f64 (-.f64 2 (*.f64 2 y)) 2)) (pow.f64 x 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 2 (*.f64 2 y)) 2) (*.f64 y (-.f64 2 (*.f64 2 y)))) (-.f64 2 (*.f64 2 y))) (pow.f64 x 3))))))) 1) |
(/.f64 x (-.f64 2 x)) |
(+.f64 (/.f64 x (-.f64 2 x)) (/.f64 (*.f64 y (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 x 2))) (pow.f64 (-.f64 2 x) 2))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) 2) (pow.f64 x 3)) (pow.f64 (-.f64 2 x) 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 (-.f64 2 x) 2)))))) (+.f64 (/.f64 x (-.f64 2 x)) (/.f64 (*.f64 y (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 x 2))) (pow.f64 (-.f64 2 x) 2)))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) 2) (pow.f64 x 3)) (pow.f64 (-.f64 2 x) 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 (-.f64 2 x) 2)))))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 4)))) (pow.f64 x 2)) (pow.f64 (-.f64 2 x) 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 x 3))) (pow.f64 (-.f64 2 x) 3))) (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) 2) (pow.f64 x 3)) (pow.f64 (-.f64 2 x) 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))) (pow.f64 x 2)) (pow.f64 (-.f64 2 x) 2)))) (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) x)) (-.f64 2 x)))))) (/.f64 (*.f64 y (*.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)) (pow.f64 x 2))) (pow.f64 (-.f64 2 x) 2))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x)) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) x)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (pow.f64 x 2)) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x)))))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x)) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 2 (*.f64 2 x)) x)) (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 (*.f64 2 x) 2))) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (pow.f64 x 2)) (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (-.f64 2 (*.f64 2 x)) x)) (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 (*.f64 2 x) 2)))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (*.f64 (-.f64 (*.f64 2 x) 2) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 2 (*.f64 2 x)) x)) (*.f64 (-.f64 2 (*.f64 2 x)) (-.f64 (*.f64 2 x) 2))) (pow.f64 y 2)))))))) |
(*.f64 -1 (/.f64 (-.f64 2 y) y)) |
(+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 (-.f64 2 y) y))) |
(+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) (pow.f64 x 2)) y) (*.f64 -1 (/.f64 (-.f64 2 y) y)))) |
(+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) (pow.f64 x 2)) y) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) (pow.f64 x 3)) (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 2 y) y))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 2 (*.f64 2 y))) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 2 (*.f64 2 y))) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
(/.f64 (-.f64 2 x) x) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)))) (*.f64 2 (/.f64 1 x))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) (*.f64 2 (/.f64 1 x)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 4)))) (pow.f64 y 3)))))) 1) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 x) y))) (*.f64 -1 (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 x) y)))) (*.f64 -1 (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 x y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) x) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (pow.f64 x 2)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) x) (pow.f64 y 2)))))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 2 y))) |
(neg.f64 (/.f64 y (-.f64 2 y))) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x)) (pow.f64 (-.f64 2 y) 2)))) |
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-1 |
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(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x))) |
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) |
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(/.f64 x (-.f64 2 x)) |
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1 |
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1 |
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-1 |
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(-.f64 (/.f64 (+.f64 2 (*.f64 y -2)) x) 1) |
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(+.f64 (neg.f64 (*.f64 (/.f64 (/.f64 y x) x) (fma.f64 y 2 -2))) (+.f64 (/.f64 (+.f64 2 (*.f64 y -2)) x) -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 2 (*.f64 2 y))) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
(+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (+.f64 2 (*.f64 -2 y)))) (+.f64 (/.f64 2 x) (-.f64 (/.f64 y (/.f64 (*.f64 x x) (+.f64 2 (*.f64 -2 y)))) (+.f64 1 (*.f64 2 (/.f64 y x)))))) |
(+.f64 (*.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (+.f64 2 (*.f64 y -2))) (+.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 2 (*.f64 y -2)) x)) (-.f64 (/.f64 (+.f64 2 (*.f64 y -2)) x) 1))) |
(+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 2 (*.f64 y -2))) (+.f64 (neg.f64 (*.f64 (/.f64 (/.f64 y x) x) (fma.f64 y 2 -2))) (+.f64 (/.f64 (+.f64 2 (*.f64 y -2)) x) -1))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
(-.f64 (/.f64 2 x) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
(-.f64 (/.f64 (+.f64 2 (*.f64 y -2)) x) 1) |
(+.f64 (/.f64 (+.f64 2 (*.f64 y -2)) x) -1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
(+.f64 (/.f64 2 x) (-.f64 (/.f64 y (/.f64 (*.f64 x x) (+.f64 2 (*.f64 -2 y)))) (+.f64 1 (*.f64 2 (/.f64 y x))))) |
(+.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 2 (*.f64 y -2)) x)) (-.f64 (/.f64 (+.f64 2 (*.f64 y -2)) x) 1)) |
(+.f64 (neg.f64 (*.f64 (/.f64 (/.f64 y x) x) (fma.f64 y 2 -2))) (+.f64 (/.f64 (+.f64 2 (*.f64 y -2)) x) -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 2 (*.f64 2 y))) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
(+.f64 (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (+.f64 2 (*.f64 -2 y)))) (+.f64 (/.f64 2 x) (-.f64 (/.f64 y (/.f64 (*.f64 x x) (+.f64 2 (*.f64 -2 y)))) (+.f64 1 (*.f64 2 (/.f64 y x)))))) |
(+.f64 (*.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (+.f64 2 (*.f64 y -2))) (+.f64 (*.f64 (/.f64 y x) (/.f64 (+.f64 2 (*.f64 y -2)) x)) (-.f64 (/.f64 (+.f64 2 (*.f64 y -2)) x) 1))) |
(+.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 2 (*.f64 y -2))) (+.f64 (neg.f64 (*.f64 (/.f64 (/.f64 y x) x) (fma.f64 y 2 -2))) (+.f64 (/.f64 (+.f64 2 (*.f64 y -2)) x) -1))) |
(/.f64 (-.f64 2 x) x) |
(+.f64 (/.f64 2 x) -1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)))) (*.f64 2 (/.f64 1 x))) 1) |
(+.f64 (fma.f64 -1 (*.f64 y (fma.f64 -1 (/.f64 (-.f64 2 x) (*.f64 x x)) (/.f64 1 x))) (/.f64 2 x)) -1) |
(+.f64 -1 (fma.f64 (neg.f64 y) (+.f64 (/.f64 1 x) (/.f64 (+.f64 -2 x) (*.f64 x x))) (/.f64 2 x))) |
(+.f64 -1 (-.f64 (/.f64 2 x) (fma.f64 y (/.f64 (+.f64 x -2) (*.f64 x x)) (/.f64 y x)))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) (*.f64 2 (/.f64 1 x)))) 1) |
(+.f64 (fma.f64 -1 (*.f64 y (fma.f64 -1 (/.f64 (-.f64 2 x) (*.f64 x x)) (/.f64 1 x))) (fma.f64 -1 (*.f64 (*.f64 y y) (fma.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) (/.f64 2 x))) -1) |
(+.f64 -1 (-.f64 (fma.f64 (*.f64 (neg.f64 y) y) (+.f64 (/.f64 (+.f64 -2 x) (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 2 x)) (*.f64 y (+.f64 (/.f64 1 x) (/.f64 (+.f64 -2 x) (*.f64 x x)))))) |
(-.f64 (+.f64 (/.f64 2 x) (fma.f64 (*.f64 y y) (+.f64 (/.f64 (-.f64 2 x) (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) -1)) (fma.f64 y (/.f64 (+.f64 x -2) (*.f64 x x)) (/.f64 y x))) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 4)))) (pow.f64 y 3)))))) 1) |
(+.f64 (fma.f64 -1 (*.f64 y (fma.f64 -1 (/.f64 (-.f64 2 x) (*.f64 x x)) (/.f64 1 x))) (+.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (fma.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) (/.f64 2 x)) (neg.f64 (*.f64 (pow.f64 y 3) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (neg.f64 (-.f64 2 x)) (pow.f64 x 4))))))) -1) |
(+.f64 -1 (-.f64 (-.f64 (fma.f64 (neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (+.f64 -2 x) (pow.f64 x 4)))) (pow.f64 y 3) (/.f64 2 x)) (*.f64 (*.f64 y y) (+.f64 (/.f64 (+.f64 -2 x) (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))) (*.f64 y (+.f64 (/.f64 1 x) (/.f64 (+.f64 -2 x) (*.f64 x x)))))) |
(-.f64 (+.f64 (fma.f64 (+.f64 (/.f64 (-.f64 2 x) (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))) (pow.f64 y 3) (/.f64 2 x)) (fma.f64 (*.f64 y y) (+.f64 (/.f64 (-.f64 2 x) (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) -1)) (fma.f64 y (/.f64 (+.f64 x -2) (*.f64 x x)) (/.f64 y x))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 x) y))) (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 (-.f64 2 x)) y) (/.f64 (neg.f64 x) y))) |
(+.f64 (/.f64 (+.f64 -2 x) y) (+.f64 1 (/.f64 x y))) |
(+.f64 1 (/.f64 (+.f64 x (+.f64 x -2)) y)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 x) y)))) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 (*.f64 -1 (-.f64 (-.f64 2 x) x)) (/.f64 (*.f64 y y) x)) (+.f64 1 (-.f64 (/.f64 (neg.f64 (-.f64 2 x)) y) (/.f64 (neg.f64 x) y)))) |
(+.f64 (/.f64 x y) (+.f64 (+.f64 (/.f64 (+.f64 x (+.f64 -2 x)) (/.f64 y (/.f64 x y))) (/.f64 (+.f64 -2 x) y)) 1)) |
(+.f64 (+.f64 1 (/.f64 (+.f64 x (+.f64 x -2)) (/.f64 (*.f64 y y) x))) (/.f64 (+.f64 x (+.f64 x -2)) y)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 x y))) |
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 -1 (-.f64 (-.f64 2 x) x)) (/.f64 (*.f64 y y) x)) 1) (fma.f64 -1 (/.f64 (-.f64 2 x) y) (/.f64 (*.f64 -1 (-.f64 (-.f64 2 x) x)) (/.f64 (pow.f64 y 3) (*.f64 x x))))) (/.f64 (neg.f64 x) y)) |
(+.f64 (/.f64 x y) (+.f64 (+.f64 1 (/.f64 (+.f64 -2 x) y)) (+.f64 (/.f64 (+.f64 x (+.f64 -2 x)) (/.f64 (pow.f64 y 3) (*.f64 x x))) (/.f64 (+.f64 x (+.f64 -2 x)) (/.f64 y (/.f64 x y)))))) |
(+.f64 (+.f64 1 (fma.f64 (/.f64 (+.f64 x (+.f64 x -2)) (pow.f64 y 3)) (*.f64 x x) (/.f64 (+.f64 x -2) y))) (fma.f64 (/.f64 x y) (/.f64 (+.f64 x (+.f64 x -2)) y) (/.f64 x y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y))) |
(+.f64 1 (neg.f64 (/.f64 (+.f64 2 (*.f64 -2 x)) y))) |
(-.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y)) |
(+.f64 1 (/.f64 (fma.f64 2 x -2) y)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) x) (pow.f64 y 2))))) |
(+.f64 1 (*.f64 -1 (+.f64 (/.f64 (+.f64 2 (*.f64 -2 x)) y) (/.f64 (+.f64 2 (*.f64 -2 x)) (/.f64 (*.f64 y y) x))))) |
(-.f64 (-.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y)) (*.f64 (/.f64 (+.f64 2 (*.f64 x -2)) (*.f64 y y)) x)) |
(+.f64 1 (fma.f64 (/.f64 (fma.f64 2 x -2) y) (/.f64 x y) (/.f64 (fma.f64 2 x -2) y))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (pow.f64 x 2)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) x) (pow.f64 y 2)))))) |
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 -2 x)) y) (*.f64 -1 (+.f64 (/.f64 (+.f64 2 (*.f64 -2 x)) (/.f64 (pow.f64 y 3) (*.f64 x x))) (/.f64 (+.f64 2 (*.f64 -2 x)) (/.f64 (*.f64 y y) x)))))) |
(+.f64 1 (-.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x x) (/.f64 (pow.f64 y 3) (+.f64 2 (*.f64 x -2)))) (/.f64 (fma.f64 2 x -2) y))) (*.f64 (/.f64 (+.f64 2 (*.f64 x -2)) (*.f64 y y)) x))) |
(+.f64 1 (+.f64 (fma.f64 (/.f64 (fma.f64 2 x -2) y) (/.f64 x y) (/.f64 (fma.f64 2 x -2) y)) (/.f64 (fma.f64 2 x -2) (/.f64 (pow.f64 y 3) (*.f64 x x))))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (-.f64 2 x) 2) |
| ✓ | 0.1b | (*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) (+.f64 y (-.f64 2 x))) |
| ✓ | 2.1b | (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)) |
| ✓ | 24.0b | (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) |
Compiled 65 to 35 computations (46.2% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)) |
| 2.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) (+.f64 y (-.f64 2 x))) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) |
| 1× | batch-egg-rewrite |
| 797× | fma-def_binary64 |
| 372× | fma-neg_binary64 |
| 280× | log-div_binary64 |
| 277× | expm1-udef_binary64 |
| 277× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 67 |
| 1 | 304 | 67 |
| 2 | 5110 | 67 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) |
(-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) (+.f64 y (-.f64 2 x))) |
(pow.f64 (-.f64 2 x) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) (neg.f64 (/.f64 y (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) (/.f64 y (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (-.f64 2 x)) (*.f64 (neg.f64 x) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 2 x) 2) (*.f64 (-.f64 2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 2 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 x) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 2 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2 x) 2)) (cbrt.f64 (pow.f64 (-.f64 2 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2 x) 2)) (*.f64 (cbrt.f64 (-.f64 2 x)) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2 x) 4)) (cbrt.f64 (pow.f64 (-.f64 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 x)) (*.f64 (sqrt.f64 (-.f64 2 x)) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 2 x) (sqrt.f64 (-.f64 2 x))) (sqrt.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 2 x) (cbrt.f64 (pow.f64 (-.f64 2 x) 2))) (cbrt.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8 (pow.f64 x 3)) (-.f64 8 (pow.f64 x 3))) (*.f64 (fma.f64 x (+.f64 x 2) 4) (fma.f64 x (+.f64 x 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 x x)) (-.f64 4 (*.f64 x x))) (*.f64 (+.f64 x 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 x x)) (-.f64 8 (pow.f64 x 3))) (*.f64 (+.f64 x 2) (fma.f64 x (+.f64 x 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8 (pow.f64 x 3)) (-.f64 4 (*.f64 x x))) (*.f64 (fma.f64 x (+.f64 x 2) 4) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 8 (pow.f64 x 3)) (-.f64 2 x)) (fma.f64 x (+.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 4 (*.f64 x x)) (-.f64 2 x)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 2 x) (-.f64 8 (pow.f64 x 3))) (fma.f64 x (+.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 2 x) (-.f64 4 (*.f64 x x))) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 2 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (-.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (-.f64 2 x) (*.f64 (neg.f64 x) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 2 x) 2 (*.f64 (-.f64 2 x) (neg.f64 x))))))) |
| 1× | egg-herbie |
| 669× | times-frac_binary64 |
| 615× | cancel-sign-sub-inv_binary64 |
| 451× | distribute-rgt-in_binary64 |
| 410× | distribute-lft-in_binary64 |
| 260× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 266 | 2910 |
| 1 | 893 | 2744 |
| 2 | 3334 | 2628 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2)))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) x) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2))) (*.f64 -4 (/.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) (-.f64 4 (pow.f64 y 2))))) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) x) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2)))))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2))) (*.f64 -4 (/.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) (-.f64 4 (pow.f64 y 2))))) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) x) (+.f64 (*.f64 (-.f64 (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 3))) (+.f64 (/.f64 1 (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2))) (*.f64 -4 (/.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) (-.f64 4 (pow.f64 y 2))))) (-.f64 4 (pow.f64 y 2)))))) (pow.f64 x 3)) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))))) |
(/.f64 1 x) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) (+.f64 (*.f64 -4 (/.f64 (+.f64 4 (*.f64 -1 y)) (pow.f64 x 3))) (*.f64 4 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (-.f64 (pow.f64 y 2) (+.f64 (*.f64 -4 (+.f64 4 (*.f64 -1 y))) 4))) (*.f64 (+.f64 4 (*.f64 -1 y)) (-.f64 4 (pow.f64 y 2)))) (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))))) (+.f64 (*.f64 -4 (/.f64 (+.f64 4 (*.f64 -1 y)) (pow.f64 x 3))) (*.f64 4 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 1 x) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 4) (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y 4) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 (-.f64 y 4) (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y 4) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (-.f64 4 (pow.f64 y 2)) (-.f64 y 4)) (pow.f64 x 4)) (+.f64 (*.f64 4 (/.f64 (-.f64 (pow.f64 y 2) (+.f64 4 (*.f64 4 (-.f64 y 4)))) (pow.f64 x 4))) (/.f64 1 x))))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 (-.f64 y 4) (pow.f64 x 3))))) |
(/.f64 x (pow.f64 (-.f64 2 x) 2)) |
(+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 x) 2)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 2 x) 4)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 x) 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 2 x) 4)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4))) (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 x) 2)))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) x) (pow.f64 y 4))) (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 3))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) x) (pow.f64 y 4))) (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 3))))) |
(-.f64 4 (pow.f64 y 2)) |
(-.f64 (+.f64 4 (*.f64 -4 x)) (pow.f64 y 2)) |
(-.f64 (+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) (pow.f64 y 2)) |
(-.f64 (+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) (pow.f64 y 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(-.f64 (+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) (pow.f64 y 2)) |
(-.f64 (+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) (pow.f64 y 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(-.f64 (+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) (pow.f64 y 2)) |
(-.f64 (+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) (pow.f64 y 2)) |
(pow.f64 (-.f64 2 x) 2) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 (-.f64 2 x) 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 (-.f64 2 x) 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 (-.f64 2 x) 2)) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 (-.f64 2 x) 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 (-.f64 2 x) 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 (-.f64 2 x) 2)) |
(*.f64 -1 (pow.f64 y 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 (-.f64 2 x) 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 (-.f64 2 x) 2)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (pow.f64 (-.f64 2 x) 2)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) (*.f64 4 (/.f64 (*.f64 (+.f64 2 y) y) (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) (*.f64 4 (/.f64 (*.f64 (+.f64 2 y) y) (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) x) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (pow.f64 (-.f64 4 (pow.f64 y 2)) 2))) (*.f64 -4 (/.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) (*.f64 4 (/.f64 (*.f64 (+.f64 2 y) y) (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) (-.f64 4 (pow.f64 y 2)))))) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) (*.f64 4 (/.f64 (*.f64 (+.f64 2 y) y) (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) x) (+.f64 (*.f64 (-.f64 (*.f64 4 (/.f64 (*.f64 (+.f64 2 y) y) (pow.f64 (-.f64 4 (pow.f64 y 2)) 3))) (+.f64 (*.f64 4 (/.f64 (+.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (pow.f64 (-.f64 4 (pow.f64 y 2)) 2))) (*.f64 -4 (/.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) (*.f64 4 (/.f64 (*.f64 (+.f64 2 y) y) (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) (-.f64 4 (pow.f64 y 2)))))) (-.f64 4 (pow.f64 y 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 4 (pow.f64 y 2)) 2))) (*.f64 2 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))))) (pow.f64 x 3)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (pow.f64 (-.f64 4 (pow.f64 y 2)) 2))) (*.f64 -4 (/.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) (*.f64 4 (/.f64 (*.f64 (+.f64 2 y) y) (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) (-.f64 4 (pow.f64 y 2)))))) (pow.f64 x 2)))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 -4 (/.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 4 (pow.f64 y 2)) (pow.f64 x 2))))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 4 (pow.f64 y 2))) (*.f64 -4 (-.f64 (*.f64 -1 (*.f64 (+.f64 2 y) y)) (+.f64 (*.f64 -1 (-.f64 4 (pow.f64 y 2))) (*.f64 -4 (-.f64 (*.f64 2 y) 2)))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (pow.f64 x 2))))) (+.f64 1 (+.f64 (*.f64 -4 (/.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 4 (pow.f64 y 2)) (pow.f64 x 2))))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 (+.f64 2 y) y) (pow.f64 y 2)) (+.f64 4 (*.f64 4 (-.f64 (*.f64 2 y) 2)))) (pow.f64 x 2))) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 (+.f64 2 y) y) (pow.f64 y 2)) (+.f64 4 (*.f64 4 (-.f64 (*.f64 2 y) 2)))) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 4 (pow.f64 y 2))) (*.f64 4 (-.f64 (+.f64 (*.f64 (+.f64 2 y) y) (pow.f64 y 2)) (+.f64 4 (*.f64 4 (-.f64 (*.f64 2 y) 2)))))) (pow.f64 x 3))))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(/.f64 x (-.f64 2 x)) |
(+.f64 (*.f64 y (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (-.f64 2 x)))) (/.f64 x (-.f64 2 x))) |
(+.f64 (*.f64 y (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (-.f64 2 x)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (/.f64 x (-.f64 2 x)))) |
(+.f64 (*.f64 y (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (-.f64 2 x)))) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (-.f64 2 x)))) (pow.f64 (-.f64 2 x) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (/.f64 x (-.f64 2 x))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2)))))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2)))) |
1 |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) (/.f64 x y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))))) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2))))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 2 (*.f64 -1 x)) x) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3)) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))))) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2))))) |
4 |
(+.f64 4 (*.f64 -4 x)) |
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2)))) |
(/.f64 (neg.f64 y) (-.f64 4 (*.f64 y y))) |
(/.f64 (neg.f64 y) (neg.f64 (fma.f64 y y -4))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) x) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(fma.f64 (+.f64 (/.f64 1 (-.f64 4 (*.f64 y y))) (*.f64 -4 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2)))) x (/.f64 (neg.f64 y) (-.f64 4 (*.f64 y y)))) |
(-.f64 (*.f64 (+.f64 (/.f64 1 (-.f64 4 (*.f64 y y))) (*.f64 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2)) -4)) x) (/.f64 y (-.f64 4 (*.f64 y y)))) |
(-.f64 (*.f64 (+.f64 (/.f64 1 (neg.f64 (fma.f64 y y -4))) (*.f64 (/.f64 y (pow.f64 (neg.f64 (fma.f64 y y -4)) 2)) -4)) x) (/.f64 y (neg.f64 (fma.f64 y y -4)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2))) (*.f64 -4 (/.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) (-.f64 4 (pow.f64 y 2))))) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) x) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2)))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2)) (*.f64 -4 (/.f64 (+.f64 (/.f64 1 (-.f64 4 (*.f64 y y))) (*.f64 -4 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2)))) (-.f64 4 (*.f64 y y))))) (*.f64 x x)) (fma.f64 (+.f64 (/.f64 1 (-.f64 4 (*.f64 y y))) (*.f64 -4 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2)))) x (/.f64 (neg.f64 y) (-.f64 4 (*.f64 y y))))) |
(-.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 (-.f64 4 (*.f64 y y))) (*.f64 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2)) -4)) x) (/.f64 y (-.f64 4 (*.f64 y y)))) (*.f64 x (*.f64 x (-.f64 (*.f64 -4 (-.f64 (/.f64 1 (pow.f64 (-.f64 4 (*.f64 y y)) 2)) (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 3))))) (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2)))))) |
(-.f64 (*.f64 x (+.f64 (+.f64 (/.f64 1 (neg.f64 (fma.f64 y y -4))) (*.f64 (/.f64 y (pow.f64 (neg.f64 (fma.f64 y y -4)) 2)) -4)) (*.f64 (neg.f64 (fma.f64 -4 (+.f64 (/.f64 1 (pow.f64 (neg.f64 (fma.f64 y y -4)) 2)) (/.f64 (*.f64 y -4) (pow.f64 (neg.f64 (fma.f64 y y -4)) 3))) (/.f64 (neg.f64 y) (pow.f64 (neg.f64 (fma.f64 y y -4)) 2)))) x))) (/.f64 y (neg.f64 (fma.f64 y y -4)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2))) (*.f64 -4 (/.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) (-.f64 4 (pow.f64 y 2))))) (pow.f64 x 2))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) x) (+.f64 (*.f64 (-.f64 (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 3))) (+.f64 (/.f64 1 (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2))) (*.f64 -4 (/.f64 (-.f64 (/.f64 1 (-.f64 4 (pow.f64 y 2))) (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (pow.f64 y 2)) 2)))) (-.f64 4 (pow.f64 y 2))))) (-.f64 4 (pow.f64 y 2)))))) (pow.f64 x 3)) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2)) (*.f64 -4 (/.f64 (+.f64 (/.f64 1 (-.f64 4 (*.f64 y y))) (*.f64 -4 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2)))) (-.f64 4 (*.f64 y y))))) (*.f64 x x)) (fma.f64 (+.f64 (/.f64 1 (-.f64 4 (*.f64 y y))) (*.f64 -4 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2)))) x (fma.f64 (-.f64 (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 3))) (+.f64 (/.f64 1 (pow.f64 (-.f64 4 (*.f64 y y)) 2)) (*.f64 4 (/.f64 (fma.f64 -1 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2)) (*.f64 -4 (/.f64 (+.f64 (/.f64 1 (-.f64 4 (*.f64 y y))) (*.f64 -4 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2)))) (-.f64 4 (*.f64 y y))))) (-.f64 4 (*.f64 y y)))))) (pow.f64 x 3) (/.f64 (neg.f64 y) (-.f64 4 (*.f64 y y)))))) |
(-.f64 (-.f64 (fma.f64 (+.f64 (/.f64 1 (-.f64 4 (*.f64 y y))) (*.f64 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2)) -4)) x (*.f64 (-.f64 (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 3))) (fma.f64 4 (/.f64 (-.f64 (*.f64 -4 (-.f64 (/.f64 1 (pow.f64 (-.f64 4 (*.f64 y y)) 2)) (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 3))))) (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2))) (-.f64 4 (*.f64 y y))) (/.f64 1 (pow.f64 (-.f64 4 (*.f64 y y)) 2)))) (pow.f64 x 3))) (/.f64 y (-.f64 4 (*.f64 y y)))) (*.f64 x (*.f64 x (-.f64 (*.f64 -4 (-.f64 (/.f64 1 (pow.f64 (-.f64 4 (*.f64 y y)) 2)) (*.f64 4 (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 3))))) (/.f64 y (pow.f64 (-.f64 4 (*.f64 y y)) 2)))))) |
(-.f64 (-.f64 (fma.f64 (+.f64 (/.f64 1 (neg.f64 (fma.f64 y y -4))) (*.f64 (/.f64 y (pow.f64 (neg.f64 (fma.f64 y y -4)) 2)) -4)) x (*.f64 (+.f64 (*.f64 4 (-.f64 (/.f64 y (pow.f64 (neg.f64 (fma.f64 y y -4)) 3)) (-.f64 (/.f64 (*.f64 -4 (+.f64 (/.f64 1 (pow.f64 (neg.f64 (fma.f64 y y -4)) 2)) (/.f64 (*.f64 y -4) (pow.f64 (neg.f64 (fma.f64 y y -4)) 3)))) (neg.f64 (fma.f64 y y -4))) (/.f64 y (pow.f64 (neg.f64 (fma.f64 y y -4)) 3))))) (/.f64 -1 (pow.f64 (neg.f64 (fma.f64 y y -4)) 2))) (pow.f64 x 3))) (/.f64 y (neg.f64 (fma.f64 y y -4)))) (*.f64 (fma.f64 -4 (+.f64 (/.f64 1 (pow.f64 (neg.f64 (fma.f64 y y -4)) 2)) (/.f64 (*.f64 y -4) (pow.f64 (neg.f64 (fma.f64 y y -4)) 3))) (/.f64 (neg.f64 y) (pow.f64 (neg.f64 (fma.f64 y y -4)) 2))) (*.f64 x x))) |
(/.f64 1 x) |
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 4 (*.f64 x x))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)) (/.f64 4 (*.f64 x x))) |
(-.f64 (/.f64 1 x) (/.f64 (+.f64 y -4) (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) (+.f64 (*.f64 -4 (/.f64 (+.f64 4 (*.f64 -1 y)) (pow.f64 x 3))) (*.f64 4 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 4 (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) (fma.f64 -4 (/.f64 (+.f64 4 (neg.f64 y)) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3)))) |
(+.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)) (/.f64 4 (*.f64 x x))) (-.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -4 (/.f64 (-.f64 4 y) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3))))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (+.f64 y -4) (*.f64 x x))) (-.f64 (*.f64 (/.f64 y (pow.f64 x 3)) y) (fma.f64 4 (/.f64 (+.f64 y -4) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3))))) |
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (-.f64 (pow.f64 y 2) (+.f64 (*.f64 -4 (+.f64 4 (*.f64 -1 y))) 4))) (*.f64 (+.f64 4 (*.f64 -1 y)) (-.f64 4 (pow.f64 y 2)))) (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))))) (+.f64 (*.f64 -4 (/.f64 (+.f64 4 (*.f64 -1 y)) (pow.f64 x 3))) (*.f64 4 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -4 (-.f64 (*.f64 y y) (fma.f64 -4 (+.f64 4 (neg.f64 y)) 4)) (*.f64 (-.f64 4 (*.f64 y y)) (+.f64 4 (neg.f64 y)))) (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 4 (*.f64 x x)))) (fma.f64 -4 (/.f64 (+.f64 4 (neg.f64 y)) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3))))) |
(+.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (-.f64 (-.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)) (/.f64 4 (*.f64 x x))) (/.f64 (fma.f64 -4 (-.f64 (*.f64 y y) (+.f64 -12 (*.f64 y 4))) (*.f64 (-.f64 4 (*.f64 y y)) (-.f64 4 y))) (pow.f64 x 4))) (fma.f64 -4 (/.f64 (-.f64 4 y) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3))))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 x 3)) y) (-.f64 (-.f64 (-.f64 (/.f64 1 x) (/.f64 (+.f64 y -4) (*.f64 x x))) (/.f64 (fma.f64 -4 (fma.f64 y y (+.f64 12 (*.f64 y -4))) (*.f64 (neg.f64 (fma.f64 y y -4)) (-.f64 4 y))) (pow.f64 x 4))) (fma.f64 4 (/.f64 (+.f64 y -4) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3))))) |
(/.f64 1 x) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 y 4) (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 4 (*.f64 x x))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)) (/.f64 4 (*.f64 x x))) |
(-.f64 (/.f64 1 x) (/.f64 (+.f64 y -4) (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y 4) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 (-.f64 y 4) (pow.f64 x 3))))) |
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 x) (neg.f64 (/.f64 y (*.f64 x x)))) (/.f64 4 (*.f64 x x))) (/.f64 (*.f64 y y) (pow.f64 x 3))) (fma.f64 -4 (/.f64 (+.f64 4 (neg.f64 y)) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3)))) |
(+.f64 (+.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)) (/.f64 4 (*.f64 x x))) (-.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -4 (/.f64 (-.f64 4 y) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3))))) |
(+.f64 (-.f64 (/.f64 1 x) (/.f64 (+.f64 y -4) (*.f64 x x))) (-.f64 (*.f64 (/.f64 y (pow.f64 x 3)) y) (fma.f64 4 (/.f64 (+.f64 y -4) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 y 4) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (-.f64 4 (pow.f64 y 2)) (-.f64 y 4)) (pow.f64 x 4)) (+.f64 (*.f64 4 (/.f64 (-.f64 (pow.f64 y 2) (+.f64 4 (*.f64 4 (-.f64 y 4)))) (pow.f64 x 4))) (/.f64 1 x))))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 (-.f64 y 4) (pow.f64 x 3))))) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 y -4) (*.f64 x x)) (+.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) (+.f64 (/.f64 (-.f64 4 (*.f64 y y)) (/.f64 (pow.f64 x 4) (+.f64 y -4))) (fma.f64 4 (/.f64 (-.f64 (*.f64 y y) (+.f64 4 (*.f64 4 (+.f64 y -4)))) (pow.f64 x 4)) (/.f64 1 x))))) (+.f64 (/.f64 4 (pow.f64 x 3)) (*.f64 4 (/.f64 (+.f64 y -4) (pow.f64 x 3))))) |
(+.f64 (/.f64 (-.f64 4 y) (*.f64 x x)) (+.f64 (+.f64 (/.f64 (-.f64 4 (*.f64 y y)) (/.f64 (pow.f64 x 4) (+.f64 y -4))) (fma.f64 4 (/.f64 (-.f64 (*.f64 y y) (+.f64 -12 (*.f64 y 4))) (pow.f64 x 4)) (/.f64 1 x))) (-.f64 (/.f64 y (/.f64 (pow.f64 x 3) y)) (fma.f64 -4 (/.f64 (-.f64 4 y) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3)))))) |
(+.f64 (+.f64 (fma.f64 4 (/.f64 (fma.f64 y y (+.f64 12 (*.f64 y -4))) (pow.f64 x 4)) (/.f64 1 x)) (+.f64 (*.f64 (/.f64 y (pow.f64 x 3)) y) (/.f64 (+.f64 y -4) (/.f64 (pow.f64 x 4) (neg.f64 (fma.f64 y y -4)))))) (-.f64 (/.f64 (-.f64 4 y) (*.f64 x x)) (fma.f64 4 (/.f64 (+.f64 y -4) (pow.f64 x 3)) (/.f64 4 (pow.f64 x 3))))) |
(/.f64 x (pow.f64 (-.f64 2 x) 2)) |
(+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 x) 2)))) |
(+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 y) (pow.f64 (-.f64 2 x) 2))) |
(-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 y (pow.f64 (-.f64 2 x) 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 2 x) 4)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 x) 2))))) |
(+.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 y) (pow.f64 (-.f64 2 x) 2))) (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (-.f64 2 x) 4))) |
(+.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 y (pow.f64 (-.f64 2 x) 2))) (/.f64 x (/.f64 (pow.f64 (-.f64 2 x) 4) (*.f64 y y)))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (*.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 4)) x)) (/.f64 y (pow.f64 (-.f64 2 x) 2))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y 2) x) (pow.f64 (-.f64 2 x) 4)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4))) (*.f64 -1 (/.f64 y (pow.f64 (-.f64 2 x) 2)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 (-.f64 2 x) 4)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)) (/.f64 y (pow.f64 (-.f64 2 x) 2)))))) |
(+.f64 (/.f64 x (/.f64 (pow.f64 (-.f64 2 x) 4) (*.f64 y y))) (-.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4))) (/.f64 y (pow.f64 (-.f64 2 x) 2)))) |
(+.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 4)) x) (+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)))) (/.f64 x (pow.f64 (-.f64 2 x) 2))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) |
(+.f64 (-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) x) (pow.f64 y 4))) (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 3))))) |
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-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x))) |
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) |
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 -4 (/.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 4 (pow.f64 y 2)) (pow.f64 x 2))))))) |
(-.f64 (fma.f64 2 (/.f64 y x) (/.f64 (neg.f64 (*.f64 y (+.f64 y 2))) (*.f64 x x))) (+.f64 1 (fma.f64 -4 (/.f64 (fma.f64 2 y -2) (*.f64 x x)) (+.f64 (/.f64 2 x) (neg.f64 (/.f64 (-.f64 4 (*.f64 y y)) (*.f64 x x))))))) |
(-.f64 (-.f64 (*.f64 2 (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 (+.f64 y 2) x))) (+.f64 1 (-.f64 (fma.f64 -4 (/.f64 (/.f64 (fma.f64 y 2 -2) x) x) (/.f64 2 x)) (/.f64 (-.f64 4 (*.f64 y y)) (*.f64 x x))))) |
(-.f64 (*.f64 (/.f64 y x) (+.f64 2 (/.f64 (-.f64 -2 y) x))) (+.f64 (fma.f64 -4 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (/.f64 2 x)) (+.f64 (/.f64 (fma.f64 y y -4) (*.f64 x x)) 1))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 y x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 4 (pow.f64 y 2))) (*.f64 -4 (-.f64 (*.f64 -1 (*.f64 (+.f64 2 y) y)) (+.f64 (*.f64 -1 (-.f64 4 (pow.f64 y 2))) (*.f64 -4 (-.f64 (*.f64 2 y) 2)))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (pow.f64 x 2))))) (+.f64 1 (+.f64 (*.f64 -4 (/.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 4 (pow.f64 y 2)) (pow.f64 x 2))))))) |
(-.f64 (fma.f64 2 (/.f64 y x) (*.f64 -1 (+.f64 (/.f64 (fma.f64 (fma.f64 2 y -2) (-.f64 4 (*.f64 y y)) (*.f64 -4 (-.f64 (neg.f64 (*.f64 y (+.f64 y 2))) (fma.f64 -1 (-.f64 4 (*.f64 y y)) (*.f64 -4 (fma.f64 2 y -2)))))) (pow.f64 x 3)) (/.f64 (*.f64 y (+.f64 y 2)) (*.f64 x x))))) (+.f64 1 (fma.f64 -4 (/.f64 (fma.f64 2 y -2) (*.f64 x x)) (+.f64 (/.f64 2 x) (neg.f64 (/.f64 (-.f64 4 (*.f64 y y)) (*.f64 x x))))))) |
(-.f64 (-.f64 (-.f64 (*.f64 2 (/.f64 y x)) (/.f64 (fma.f64 (-.f64 4 (*.f64 y y)) (fma.f64 y 2 -2) (*.f64 -4 (-.f64 (*.f64 y (+.f64 (neg.f64 y) -2)) (-.f64 (*.f64 -4 (fma.f64 y 2 -2)) (-.f64 4 (*.f64 y y)))))) (pow.f64 x 3))) (*.f64 (/.f64 y x) (/.f64 (+.f64 y 2) x))) (+.f64 1 (-.f64 (fma.f64 -4 (/.f64 (/.f64 (fma.f64 y 2 -2) x) x) (/.f64 2 x)) (/.f64 (-.f64 4 (*.f64 y y)) (*.f64 x x))))) |
(+.f64 (-.f64 (*.f64 (/.f64 y x) (+.f64 2 (/.f64 (-.f64 -2 y) x))) (/.f64 (fma.f64 -4 (-.f64 (*.f64 y (-.f64 -2 y)) (fma.f64 -4 (fma.f64 y 2 -2) (fma.f64 y y -4))) (*.f64 (neg.f64 (fma.f64 y y -4)) (fma.f64 y 2 -2))) (pow.f64 x 3))) (-.f64 -1 (+.f64 (/.f64 (fma.f64 y y -4) (*.f64 x x)) (fma.f64 -4 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (/.f64 2 x))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x))) |
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) |
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 (+.f64 2 y) y) (pow.f64 y 2)) (+.f64 4 (*.f64 4 (-.f64 (*.f64 2 y) 2)))) (pow.f64 x 2))) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 (+.f64 y 2) y (*.f64 y y)) (+.f64 4 (*.f64 4 (fma.f64 2 y -2)))) (*.f64 x x)) (*.f64 2 (/.f64 y x))) (+.f64 1 (/.f64 2 x))) |
(fma.f64 -1 (/.f64 (-.f64 (*.f64 y (+.f64 y (+.f64 y 2))) (fma.f64 4 (fma.f64 y 2 -2) 4)) (*.f64 x x)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x))) |
(-.f64 (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) (/.f64 (fma.f64 y (+.f64 y 2) (fma.f64 -4 (fma.f64 y 2 -2) (fma.f64 y y -4))) (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 (+.f64 2 y) y) (pow.f64 y 2)) (+.f64 4 (*.f64 4 (-.f64 (*.f64 2 y) 2)))) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 4 (pow.f64 y 2))) (*.f64 4 (-.f64 (+.f64 (*.f64 (+.f64 2 y) y) (pow.f64 y 2)) (+.f64 4 (*.f64 4 (-.f64 (*.f64 2 y) 2)))))) (pow.f64 x 3))))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (fma.f64 (+.f64 y 2) y (*.f64 y y)) (+.f64 4 (*.f64 4 (fma.f64 2 y -2)))) (*.f64 x x)) (fma.f64 2 (/.f64 y x) (neg.f64 (/.f64 (fma.f64 (fma.f64 2 y -2) (-.f64 4 (*.f64 y y)) (*.f64 4 (-.f64 (fma.f64 (+.f64 y 2) y (*.f64 y y)) (+.f64 4 (*.f64 4 (fma.f64 2 y -2)))))) (pow.f64 x 3))))) (+.f64 1 (/.f64 2 x))) |
(-.f64 (-.f64 (-.f64 (*.f64 2 (/.f64 y x)) (/.f64 (-.f64 (*.f64 y (+.f64 y (+.f64 y 2))) (fma.f64 4 (fma.f64 y 2 -2) 4)) (*.f64 x x))) (/.f64 (fma.f64 4 (-.f64 (*.f64 y (+.f64 y (+.f64 y 2))) (fma.f64 4 (fma.f64 y 2 -2) 4)) (*.f64 (-.f64 4 (*.f64 y y)) (fma.f64 y 2 -2))) (pow.f64 x 3))) (+.f64 1 (/.f64 2 x))) |
(-.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 4 (fma.f64 y (+.f64 y 2) (fma.f64 -4 (fma.f64 y 2 -2) (fma.f64 y y -4))) (*.f64 (neg.f64 (fma.f64 y y -4)) (fma.f64 y 2 -2)))) (pow.f64 x 3)) (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1)) (/.f64 (fma.f64 y (+.f64 y 2) (fma.f64 -4 (fma.f64 y 2 -2) (fma.f64 y y -4))) (*.f64 x x))) |
(/.f64 x (-.f64 2 x)) |
(+.f64 (*.f64 y (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (-.f64 2 x)))) (/.f64 x (-.f64 2 x))) |
(fma.f64 y (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (-.f64 2 x))) (/.f64 x (-.f64 2 x))) |
(fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (/.f64 x (-.f64 2 x))) |
(+.f64 (*.f64 y (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (-.f64 2 x)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (/.f64 x (-.f64 2 x)))) |
(fma.f64 y (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (-.f64 2 x))) (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3)))) (/.f64 x (-.f64 2 x)))) |
(fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (-.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))))))) |
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (-.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) y)))) |
(+.f64 (*.f64 y (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (-.f64 2 x)))) (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (-.f64 2 x)))) (pow.f64 (-.f64 2 x) 2)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (/.f64 x (-.f64 2 x))))) |
(fma.f64 y (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (-.f64 2 x))) (+.f64 (fma.f64 -1 (*.f64 (*.f64 y y) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3)))) (/.f64 x (-.f64 2 x))) (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (-.f64 2 x))))))) |
(+.f64 (-.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))))) (fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (/.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 3))))) |
(+.f64 (-.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))))) (*.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (+.f64 y (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y))) |
(+.f64 1 (neg.f64 (/.f64 (fma.f64 -1 (-.f64 2 x) x) y))) |
(-.f64 1 (/.f64 (-.f64 x (-.f64 2 x)) y)) |
(+.f64 1 (/.f64 (+.f64 2 (*.f64 x -2)) y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2)))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (-.f64 2 x) x) y) (neg.f64 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) x)))) (neg.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))))) |
(+.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 x (-.f64 2 x)) y)) (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 (+.f64 2 (*.f64 x -2)) y) (*.f64 (/.f64 (+.f64 x -2) (*.f64 y y)) x)) (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2)))))) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2)))) |
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (-.f64 2 x) x) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))) (+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 -1 (-.f64 2 x) x) y) (neg.f64 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) x)))))) (neg.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))) |
(+.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)) (-.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 x (-.f64 2 x)) y)) (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) (*.f64 (/.f64 (-.f64 x (-.f64 2 x)) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2)))) |
(+.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)) (+.f64 1 (+.f64 (+.f64 (/.f64 (+.f64 2 (*.f64 x -2)) y) (*.f64 (/.f64 (+.f64 x -2) (*.f64 y y)) x)) (*.f64 (/.f64 (+.f64 2 (*.f64 x -2)) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2))))) |
1 |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 2 y) (+.f64 1 (neg.f64 (/.f64 x y)))) (/.f64 x y)) |
(+.f64 (-.f64 1 (/.f64 x y)) (-.f64 (/.f64 2 y) (/.f64 x y))) |
(+.f64 (/.f64 2 y) (+.f64 1 (*.f64 (/.f64 x y) -2))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))))) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2))))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (-.f64 2 x) x) y) (neg.f64 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) x)))) (neg.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))))) |
(+.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 x (-.f64 2 x)) y)) (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 (+.f64 2 (*.f64 x -2)) y) (*.f64 (/.f64 (+.f64 x -2) (*.f64 y y)) x)) (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 2 (*.f64 -1 x)) x) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3)) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))))) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 2))))) |
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) x)) (+.f64 (+.f64 (/.f64 2 y) (neg.f64 (/.f64 x y))) (/.f64 (-.f64 (-.f64 2 x) x) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))))) (+.f64 (neg.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) (/.f64 x y)))) |
(+.f64 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 2 y) (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) (*.f64 (/.f64 (-.f64 2 (+.f64 x x)) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2))) (-.f64 1 (/.f64 x y))) (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) |
(+.f64 1 (+.f64 (+.f64 (*.f64 (/.f64 (+.f64 2 (*.f64 x -2)) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2)) (/.f64 (-.f64 2 x) y)) (-.f64 (*.f64 (/.f64 (+.f64 x -2) (*.f64 y y)) x) (-.f64 (/.f64 x y) (/.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y)))))) |
4 |
(+.f64 4 (*.f64 -4 x)) |
(+.f64 4 (*.f64 x -4)) |
(fma.f64 x -4 4) |
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 4 (fma.f64 -4 x (*.f64 x x))) |
(+.f64 4 (*.f64 x (+.f64 x -4))) |
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 4 (fma.f64 -4 x (*.f64 x x))) |
(+.f64 4 (*.f64 x (+.f64 x -4))) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(fma.f64 -4 x (*.f64 x x)) |
(*.f64 x (+.f64 x -4)) |
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 4 (fma.f64 -4 x (*.f64 x x))) |
(+.f64 4 (*.f64 x (+.f64 x -4))) |
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 4 (fma.f64 -4 x (*.f64 x x))) |
(+.f64 4 (*.f64 x (+.f64 x -4))) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(fma.f64 -4 x (*.f64 x x)) |
(*.f64 x (+.f64 x -4)) |
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 4 (fma.f64 -4 x (*.f64 x x))) |
(+.f64 4 (*.f64 x (+.f64 x -4))) |
(+.f64 4 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 4 (fma.f64 -4 x (*.f64 x x))) |
(+.f64 4 (*.f64 x (+.f64 x -4))) |
Compiled 42106 to 24177 computations (42.6% saved)
13 alts after pruning (11 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1316 | 11 | 1327 |
| Fresh | 5 | 0 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 1325 | 13 | 1338 |
| Status | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (/.f64 1 (-.f64 x y))) | |
| ▶ | 33.4b | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| ▶ | 38.5b | (-.f64 -1 (/.f64 (+.f64 2 (*.f64 y -2)) x)) |
| 40.7b | (+.f64 1 (/.f64 2 y)) | |
| ✓ | 30.0b | (/.f64 x (-.f64 2 x)) |
| ▶ | 54.0b | (*.f64 1/2 x) |
| ▶ | 0.1b | (/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))) |
| 40.9b | 1 | |
| 40.7b | (+.f64 1 (/.f64 (*.f64 -2 x) y)) | |
| 38.7b | -1 | |
| ▶ | 38.8b | (*.f64 (/.f64 (-.f64 x y) (-.f64 4 (*.f64 y y))) (+.f64 y (-.f64 2 x))) |
| 38.7b | (+.f64 -1 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 2 y) x) x) (+.f64 (+.f64 y -2) y)) (/.f64 (+.f64 2 (*.f64 y -2)) x))) | |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
Compiled 244 to 180 computations (26.2% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)) |
| ✓ | 0.1b | (/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))) |
Compiled 37 to 20 computations (45.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | y | @ | 0 | (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)) |
| 1.0ms | x | @ | 0 | (/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)) |
| 1.0ms | y | @ | 0 | (/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))) |
| 1× | batch-egg-rewrite |
| 595× | log-prod_binary64 |
| 398× | fma-def_binary64 |
| 324× | pow2_binary64 |
| 223× | pow1/3_binary64 |
| 219× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 241 | 26 |
| 2 | 3682 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))) |
(/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 723× | associate-/l*_binary64 |
| 646× | associate-/r*_binary64 |
| 327× | distribute-rgt-in_binary64 |
| 308× | distribute-lft-in_binary64 |
| 284× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 1684 |
| 1 | 650 | 1554 |
| 2 | 2524 | 1308 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 2 y))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(/.f64 x (-.f64 2 x)) |
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2)))))) |
(*.f64 -1 (/.f64 (-.f64 2 y) y)) |
(+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x) (*.f64 -1 (/.f64 (-.f64 2 y) y))) |
(+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) (pow.f64 x 2)) y) (*.f64 -1 (/.f64 (-.f64 2 y) y)))) |
(+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) x) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) (pow.f64 x 2)) y) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 y)) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) (pow.f64 x 3)) (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 2 y) y))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 2 (*.f64 2 y))) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2))) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 2 (*.f64 2 y))) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (*.f64 y (-.f64 2 (*.f64 2 y))) (pow.f64 x 2)))) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
(/.f64 (-.f64 2 x) x) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)))) (*.f64 2 (/.f64 1 x))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) (*.f64 2 (/.f64 1 x)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 2))) (/.f64 1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 3))) (/.f64 1 (pow.f64 x 2))))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 -1 (/.f64 (-.f64 2 x) (pow.f64 x 4)))) (pow.f64 y 3)))))) 1) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 x) y))) (*.f64 -1 (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 x) y)))) (*.f64 -1 (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 x y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) x) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (pow.f64 x 2)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) x) (pow.f64 y 2)))))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 2 y))) |
(neg.f64 (/.f64 y (-.f64 2 y))) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)) |
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)) |
(-.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 y (-.f64 2 y))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))) |
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (-.f64 2 y) (*.f64 x x))))) |
(-.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x))) (/.f64 y (-.f64 2 y))) |
(-.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (*.f64 (/.f64 x (-.f64 2 y)) x) (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))))) (/.f64 y (-.f64 2 y))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))) |
(+.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (-.f64 2 y) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3)))) |
(+.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x))) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)) (/.f64 y (-.f64 2 y)))) |
(+.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 y (-.f64 2 y))) (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (+.f64 (*.f64 x x) (/.f64 (pow.f64 x 3) (-.f64 2 y))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x))) |
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) |
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (/.f64 (*.f64 (-.f64 2 y) (fma.f64 2 y -2)) (*.f64 x x)) (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))) |
(-.f64 (+.f64 (/.f64 (-.f64 2 y) (/.f64 (*.f64 x x) (fma.f64 y 2 -2))) (fma.f64 2 (/.f64 y x) -1)) (/.f64 2 x)) |
(+.f64 (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (/.f64 (*.f64 (-.f64 2 y) (fma.f64 2 y -2)) (*.f64 x x)) (-.f64 (fma.f64 2 (/.f64 y x) (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (fma.f64 2 y -2)) (pow.f64 x 3))) (+.f64 1 (/.f64 2 x)))) |
(+.f64 (/.f64 (-.f64 2 y) (/.f64 (*.f64 x x) (fma.f64 y 2 -2))) (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)))) |
(+.f64 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 (/.f64 (/.f64 (fma.f64 y 2 -2) x) x) (+.f64 (-.f64 2 y) (/.f64 (pow.f64 (-.f64 2 y) 2) x)))) (+.f64 -1 (/.f64 -2 x))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x))) |
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) |
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (/.f64 (*.f64 (-.f64 2 y) (fma.f64 2 y -2)) (*.f64 x x)) (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))) |
(-.f64 (+.f64 (/.f64 (-.f64 2 y) (/.f64 (*.f64 x x) (fma.f64 y 2 -2))) (fma.f64 2 (/.f64 y x) -1)) (/.f64 2 x)) |
(+.f64 (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (/.f64 (*.f64 (-.f64 2 y) (fma.f64 2 y -2)) (*.f64 x x)) (-.f64 (fma.f64 2 (/.f64 y x) (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (fma.f64 2 y -2)) (pow.f64 x 3))) (+.f64 1 (/.f64 2 x)))) |
(+.f64 (/.f64 (-.f64 2 y) (/.f64 (*.f64 x x) (fma.f64 y 2 -2))) (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)))) |
(+.f64 (+.f64 (*.f64 2 (/.f64 y x)) (*.f64 (/.f64 (/.f64 (fma.f64 y 2 -2) x) x) (+.f64 (-.f64 2 y) (/.f64 (pow.f64 (-.f64 2 y) 2) x)))) (+.f64 -1 (/.f64 -2 x))) |
(/.f64 x (-.f64 2 x)) |
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))) |
(+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2)))))) |
(-.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) |
(fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) y (/.f64 x (-.f64 2 x))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)) (+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2))))))) |
(-.f64 (-.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (*.f64 y y))) |
(fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 -1 (pow.f64 (-.f64 2 x) 2))) (*.f64 y y) (fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) y (/.f64 x (-.f64 2 x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 y 3) (fma.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4)) (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2)))))))) |
(-.f64 (fma.f64 -1 (fma.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (/.f64 x (-.f64 2 x))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (*.f64 y y))) |
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1 |
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1 |
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-1 |
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(-.f64 (/.f64 2 x) (+.f64 1 (*.f64 2 (/.f64 y x)))) |
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-1 |
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(/.f64 (-.f64 2 x) x) |
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1 |
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(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) x) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 x) y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) (*.f64 -1 x)) (pow.f64 x 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 x y))) |
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1 |
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(+.f64 (/.f64 (+.f64 -2 x) y) (+.f64 1 (/.f64 x y))) |
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(-.f64 1 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 (neg.f64 (fma.f64 2 x -2)) y))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 2 (*.f64 2 x)) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) (pow.f64 x 2)) (pow.f64 y 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 2 (*.f64 2 x)) x) (pow.f64 y 2)))))) |
(+.f64 1 (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 -2 x)) y) (fma.f64 -1 (/.f64 (+.f64 2 (*.f64 -2 x)) (/.f64 (pow.f64 y 3) (*.f64 x x))) (neg.f64 (/.f64 (+.f64 2 (*.f64 -2 x)) (/.f64 (*.f64 y y) x)))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 (neg.f64 (+.f64 2 (*.f64 x -2))) y) (*.f64 (/.f64 (+.f64 2 (*.f64 x -2)) (pow.f64 y 3)) (*.f64 x x))) (*.f64 (/.f64 (+.f64 2 (*.f64 x -2)) (*.f64 y y)) x))) |
(+.f64 (/.f64 (fma.f64 2 x -2) y) (+.f64 (*.f64 (/.f64 (fma.f64 2 x -2) (*.f64 y y)) (+.f64 (/.f64 x (/.f64 y x)) x)) 1)) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (neg.f64 y) (-.f64 2 y)) |
Compiled 15 to 9 computations (40% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| 0.0ms | y | @ | inf | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| 0.0ms | y | @ | -inf | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| 1× | batch-egg-rewrite |
| 671× | pow1_binary64 |
| 631× | add-log-exp_binary64 |
| 629× | log1p-expm1-u_binary64 |
| 629× | expm1-log1p-u_binary64 |
| 620× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 142 | 7 |
| 2 | 2130 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 y) (-.f64 2 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 y 2)) (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 2) (cbrt.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y 2))) (sqrt.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y 2))) (/.f64 y (sqrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (cbrt.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y 2))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 y 2))) (/.f64 y (sqrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 8 (pow.f64 y 3))) (+.f64 4 (*.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 4 (*.f64 y y))) (+.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 2) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 y 2)))))))) |
| 1× | egg-herbie |
| 1033× | fma-def_binary64 |
| 805× | unswap-sqr_binary64 |
| 588× | associate-/l*_binary64 |
| 545× | distribute-lft-out_binary64 |
| 416× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 156 |
| 1 | 95 | 156 |
| 2 | 213 | 154 |
| 3 | 550 | 145 |
| 4 | 1648 | 140 |
| 5 | 4578 | 140 |
| 6 | 7882 | 140 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 -1/2 y)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/2 y) (*.f64 -1/8 (pow.f64 y 3)))) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1/16 (pow.f64 y 4)) (*.f64 -1/8 (pow.f64 y 3))))) |
1 |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (*.f64 2 (/.f64 1 y)))) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))) |
1 |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (*.f64 2 (/.f64 1 y)))) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))) |
| Outputs |
|---|
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 -1/2 y)) |
(fma.f64 -1/4 (*.f64 y y) (*.f64 -1/2 y)) |
(fma.f64 -1/2 y (*.f64 y (*.f64 y -1/4))) |
(*.f64 y (+.f64 -1/2 (*.f64 y -1/4))) |
(*.f64 y (fma.f64 y -1/4 -1/2)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/2 y) (*.f64 -1/8 (pow.f64 y 3)))) |
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/2 y (*.f64 -1/8 (pow.f64 y 3)))) |
(fma.f64 -1/2 y (*.f64 (*.f64 y y) (+.f64 -1/4 (*.f64 y -1/8)))) |
(*.f64 y (+.f64 -1/2 (*.f64 y (fma.f64 y -1/8 -1/4)))) |
(*.f64 y (fma.f64 y (fma.f64 y -1/8 -1/4) -1/2)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1/16 (pow.f64 y 4)) (*.f64 -1/8 (pow.f64 y 3))))) |
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/2 y (fma.f64 -1/16 (pow.f64 y 4) (*.f64 -1/8 (pow.f64 y 3))))) |
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/2 y (fma.f64 -1/8 (pow.f64 y 3) (*.f64 -1/16 (pow.f64 y 4))))) |
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/8 (pow.f64 y 3) (fma.f64 -1/16 (pow.f64 y 4) (*.f64 -1/2 y)))) |
(fma.f64 -1/16 (pow.f64 y 4) (*.f64 y (+.f64 -1/2 (*.f64 y (fma.f64 y -1/8 -1/4))))) |
(*.f64 y (+.f64 -1/2 (*.f64 y (fma.f64 y (fma.f64 y -1/16 -1/8) -1/4)))) |
1 |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (*.f64 2 (/.f64 1 y)))) |
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y)))) |
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 (/.f64 4 y) y))) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (+.f64 (/.f64 2 y) (/.f64 8 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y))) (/.f64 8 (pow.f64 y 3)))) |
(+.f64 1 (+.f64 (/.f64 2 y) (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 8 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (/.f64 2 y) (+.f64 (/.f64 (/.f64 4 y) y) (/.f64 8 (pow.f64 y 3))))) |
1 |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (*.f64 2 (/.f64 1 y)))) |
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y)))) |
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 (/.f64 4 y) y))) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (+.f64 (/.f64 2 y) (/.f64 8 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y))) (/.f64 8 (pow.f64 y 3)))) |
(+.f64 1 (+.f64 (/.f64 2 y) (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 8 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (/.f64 2 y) (+.f64 (/.f64 (/.f64 4 y) y) (/.f64 8 (pow.f64 y 3))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 2 (*.f64 y -2)) x) |
Compiled 31 to 23 computations (25.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (+.f64 2 (*.f64 y -2)) x) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 2 (*.f64 y -2)) x) |
| 1.0ms | y | @ | inf | (/.f64 (+.f64 2 (*.f64 y -2)) x) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 2 (*.f64 y -2)) x) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 2 (*.f64 y -2)) x) |
| 1× | batch-egg-rewrite |
| 930× | pow1_binary64 |
| 868× | add-log-exp_binary64 |
| 867× | log1p-expm1-u_binary64 |
| 867× | expm1-log1p-u_binary64 |
| 853× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 176 | 8 |
| 2 | 2277 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 2 (*.f64 y -2)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fma.f64 y -2 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y -2 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y -2 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 y -2 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 y -2 2) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y -2 2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 y -2 2) x)) 2) (cbrt.f64 (/.f64 (fma.f64 y -2 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y -2 2)) 2) (*.f64 (cbrt.f64 (fma.f64 y -2 2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 y -2 2) x)) (sqrt.f64 (/.f64 (fma.f64 y -2 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y -2 2)) (*.f64 (sqrt.f64 (fma.f64 y -2 2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 y -2 2)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 y -2 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y -2 2)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 y -2 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y -2 2)) 1) (/.f64 (sqrt.f64 (fma.f64 y -2 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 y -2 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y -2 2)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 y -2 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 y -2 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 y -2 2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 y -2 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y -2 2)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 y -2 2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y -2 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 y -2 2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 y -2 2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 y -2 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 y -2 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 y -2 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 y -2 2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 y -2 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 y -2 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 y -2 2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 y -2 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 y -2 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 y -2 2) x))))))) |
| 1× | egg-herbie |
| 8× | fma-def_binary64 |
| 4× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | associate-*r/_binary64 |
| 2× | associate-/l*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 213 |
| 1 | 26 | 213 |
| 2 | 35 | 213 |
| 3 | 37 | 213 |
| 4 | 39 | 213 |
| 5 | 40 | 213 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 2 x) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(*.f64 -2 (/.f64 y x)) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(*.f64 -2 (/.f64 y x)) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
| Outputs |
|---|
(/.f64 2 x) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(fma.f64 -2 (/.f64 y x) (/.f64 2 x)) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(fma.f64 -2 (/.f64 y x) (/.f64 2 x)) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(fma.f64 -2 (/.f64 y x) (/.f64 2 x)) |
(*.f64 -2 (/.f64 y x)) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(fma.f64 -2 (/.f64 y x) (/.f64 2 x)) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(fma.f64 -2 (/.f64 y x) (/.f64 2 x)) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(fma.f64 -2 (/.f64 y x) (/.f64 2 x)) |
(*.f64 -2 (/.f64 y x)) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(fma.f64 -2 (/.f64 y x) (/.f64 2 x)) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(fma.f64 -2 (/.f64 y x) (/.f64 2 x)) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(fma.f64 -2 (/.f64 y x) (/.f64 2 x)) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (fma.f64 -2 y 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (fma.f64 -2 y 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (fma.f64 -2 y 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (fma.f64 -2 y 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (fma.f64 -2 y 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (fma.f64 -2 y 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (fma.f64 -2 y 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (fma.f64 -2 y 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (fma.f64 -2 y 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (fma.f64 -2 y 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (fma.f64 -2 y 2) x) |
(/.f64 (+.f64 (*.f64 -2 y) 2) x) |
(/.f64 (fma.f64 -2 y 2) x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (-.f64 x y) (-.f64 4 (*.f64 y y))) (+.f64 y (-.f64 2 x))) |
| ✓ | 14.3b | (/.f64 (-.f64 x y) (-.f64 4 (*.f64 y y))) |
Compiled 49 to 23 computations (53.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 x y) (-.f64 4 (*.f64 y y))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 (-.f64 x y) (-.f64 4 (*.f64 y y))) (+.f64 y (-.f64 2 x))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 x y) (-.f64 4 (*.f64 y y))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 x y) (-.f64 4 (*.f64 y y))) (+.f64 y (-.f64 2 x))) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 (-.f64 x y) (-.f64 4 (*.f64 y y))) (+.f64 y (-.f64 2 x))) |
| 1× | batch-egg-rewrite |
| 765× | log-prod_binary64 |
| 626× | fma-def_binary64 |
| 304× | fma-neg_binary64 |
| 280× | log-div_binary64 |
| 275× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 35 |
| 1 | 300 | 35 |
| 2 | 4885 | 35 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 4 (*.f64 y y))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 4 (*.f64 y y))) (+.f64 y (-.f64 2 x))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y (-.f64 x y)) (fma.f64 y (neg.f64 y) 4)) (/.f64 (*.f64 (-.f64 2 x) (-.f64 x y)) (fma.f64 y (neg.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x y)) (fma.f64 y (neg.f64 y) 4)) (/.f64 (*.f64 y (-.f64 x y)) (fma.f64 y (neg.f64 y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 x y) (fma.f64 y (neg.f64 y) 4)) (+.f64 y (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 y (-.f64 x y)) (fma.f64 y (neg.f64 y) 4)) 1) (*.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x y)) (fma.f64 y (neg.f64 y) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (-.f64 2 x))) (/.f64 (-.f64 x y) (fma.f64 y (neg.f64 y) 4)))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (-.f64 2 x))) (/.f64 (-.f64 x y) (fma.f64 y (neg.f64 y) 4)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y (-.f64 2 x))) (/.f64 (-.f64 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| 1× | egg-herbie |
| 798× | fma-neg_binary64 |
| 582× | cancel-sign-sub-inv_binary64 |
| 540× | fma-def_binary64 |
| 335× | associate-+l+_binary64 |
| 334× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 1366 |
| 1 | 348 | 1291 |
| 2 | 1134 | 1264 |
| 3 | 4680 | 1234 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2)))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(/.f64 x (-.f64 4 (pow.f64 y 2))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(/.f64 x (-.f64 4 (pow.f64 y 2))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(*.f64 1/4 x) |
(+.f64 (*.f64 -1/4 y) (*.f64 1/4 x)) |
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/4 y) (*.f64 1/4 x))) |
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/4 y) (+.f64 (*.f64 -1/16 (pow.f64 y 3)) (*.f64 1/4 x)))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -4 (/.f64 x (pow.f64 y 4))) (*.f64 4 (/.f64 1 (pow.f64 y 3)))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -4 (/.f64 x (pow.f64 y 4))) (*.f64 4 (/.f64 1 (pow.f64 y 3)))))) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x))) |
(*.f64 1/4 (*.f64 (-.f64 2 x) x)) |
(+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y)) (*.f64 1/4 (*.f64 (-.f64 2 x) x))) |
(+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/16 (*.f64 (-.f64 2 x) x)) 1/4))) (*.f64 1/4 (*.f64 (-.f64 2 x) x)))) |
(+.f64 (*.f64 1/16 (*.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) (pow.f64 y 3))) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/16 (*.f64 (-.f64 2 x) x)) 1/4))) (*.f64 1/4 (*.f64 (-.f64 2 x) x))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 2)))))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) (pow.f64 y 3))))))) |
1 |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) (/.f64 x y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))))) (/.f64 x y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 4 (/.f64 (-.f64 (+.f64 2 (*.f64 -1 x)) x) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))))))) (/.f64 x y)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2)))) |
(neg.f64 (/.f64 y (-.f64 4 (*.f64 y y)))) |
(/.f64 (neg.f64 y) (-.f64 4 (*.f64 y y))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (neg.f64 (/.f64 y (-.f64 4 (*.f64 y y)))) (/.f64 x (-.f64 4 (*.f64 y y)))) |
(-.f64 (/.f64 x (-.f64 4 (*.f64 y y))) (/.f64 y (-.f64 4 (*.f64 y y)))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (neg.f64 (/.f64 y (-.f64 4 (*.f64 y y)))) (/.f64 x (-.f64 4 (*.f64 y y)))) |
(-.f64 (/.f64 x (-.f64 4 (*.f64 y y))) (/.f64 y (-.f64 4 (*.f64 y y)))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (neg.f64 (/.f64 y (-.f64 4 (*.f64 y y)))) (/.f64 x (-.f64 4 (*.f64 y y)))) |
(-.f64 (/.f64 x (-.f64 4 (*.f64 y y))) (/.f64 y (-.f64 4 (*.f64 y y)))) |
(/.f64 x (-.f64 4 (pow.f64 y 2))) |
(/.f64 x (-.f64 4 (*.f64 y y))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (neg.f64 (/.f64 y (-.f64 4 (*.f64 y y)))) (/.f64 x (-.f64 4 (*.f64 y y)))) |
(-.f64 (/.f64 x (-.f64 4 (*.f64 y y))) (/.f64 y (-.f64 4 (*.f64 y y)))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (neg.f64 (/.f64 y (-.f64 4 (*.f64 y y)))) (/.f64 x (-.f64 4 (*.f64 y y)))) |
(-.f64 (/.f64 x (-.f64 4 (*.f64 y y))) (/.f64 y (-.f64 4 (*.f64 y y)))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (neg.f64 (/.f64 y (-.f64 4 (*.f64 y y)))) (/.f64 x (-.f64 4 (*.f64 y y)))) |
(-.f64 (/.f64 x (-.f64 4 (*.f64 y y))) (/.f64 y (-.f64 4 (*.f64 y y)))) |
(/.f64 x (-.f64 4 (pow.f64 y 2))) |
(/.f64 x (-.f64 4 (*.f64 y y))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (neg.f64 (/.f64 y (-.f64 4 (*.f64 y y)))) (/.f64 x (-.f64 4 (*.f64 y y)))) |
(-.f64 (/.f64 x (-.f64 4 (*.f64 y y))) (/.f64 y (-.f64 4 (*.f64 y y)))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (neg.f64 (/.f64 y (-.f64 4 (*.f64 y y)))) (/.f64 x (-.f64 4 (*.f64 y y)))) |
(-.f64 (/.f64 x (-.f64 4 (*.f64 y y))) (/.f64 y (-.f64 4 (*.f64 y y)))) |
(+.f64 (/.f64 x (-.f64 4 (pow.f64 y 2))) (*.f64 -1 (/.f64 y (-.f64 4 (pow.f64 y 2))))) |
(+.f64 (neg.f64 (/.f64 y (-.f64 4 (*.f64 y y)))) (/.f64 x (-.f64 4 (*.f64 y y)))) |
(-.f64 (/.f64 x (-.f64 4 (*.f64 y y))) (/.f64 y (-.f64 4 (*.f64 y y)))) |
(*.f64 1/4 x) |
(*.f64 x 1/4) |
(+.f64 (*.f64 -1/4 y) (*.f64 1/4 x)) |
(fma.f64 -1/4 y (*.f64 x 1/4)) |
(fma.f64 y -1/4 (*.f64 x 1/4)) |
(fma.f64 x 1/4 (*.f64 y -1/4)) |
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/4 y) (*.f64 1/4 x))) |
(fma.f64 1/16 (*.f64 (*.f64 y y) x) (fma.f64 -1/4 y (*.f64 x 1/4))) |
(fma.f64 1/16 (*.f64 y (*.f64 y x)) (fma.f64 y -1/4 (*.f64 x 1/4))) |
(fma.f64 y -1/4 (*.f64 x (+.f64 (*.f64 y (*.f64 y 1/16)) 1/4))) |
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/4 y) (+.f64 (*.f64 -1/16 (pow.f64 y 3)) (*.f64 1/4 x)))) |
(fma.f64 1/16 (*.f64 (*.f64 y y) x) (fma.f64 -1/4 y (fma.f64 -1/16 (pow.f64 y 3) (*.f64 x 1/4)))) |
(fma.f64 1/16 (*.f64 y (*.f64 y x)) (fma.f64 y -1/4 (fma.f64 x 1/4 (*.f64 -1/16 (pow.f64 y 3))))) |
(fma.f64 y -1/4 (fma.f64 (*.f64 y y) (*.f64 x 1/16) (fma.f64 x 1/4 (*.f64 -1/16 (pow.f64 y 3))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 4 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 4 (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -4 (/.f64 x (pow.f64 y 4))) (*.f64 4 (/.f64 1 (pow.f64 y 3)))))) |
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (*.f64 y y)) (fma.f64 -4 (/.f64 x (pow.f64 y 4)) (/.f64 4 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (-.f64 (fma.f64 -4 (/.f64 x (pow.f64 y 4)) (/.f64 4 (pow.f64 y 3))) (/.f64 x (*.f64 y y)))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (/.f64 (neg.f64 x) (*.f64 y y))) |
(-.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 4 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 4 (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (+.f64 (*.f64 -4 (/.f64 x (pow.f64 y 4))) (*.f64 4 (/.f64 1 (pow.f64 y 3)))))) |
(+.f64 (/.f64 1 y) (fma.f64 -1 (/.f64 x (*.f64 y y)) (fma.f64 -4 (/.f64 x (pow.f64 y 4)) (/.f64 4 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (-.f64 (fma.f64 -4 (/.f64 x (pow.f64 y 4)) (/.f64 4 (pow.f64 y 3))) (/.f64 x (*.f64 y y)))) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) |
(neg.f64 (/.f64 (*.f64 y (+.f64 y 2)) (-.f64 4 (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 y (+.f64 y 2))) (-.f64 4 (*.f64 y y))) |
(*.f64 (/.f64 (+.f64 y 2) (-.f64 4 (*.f64 y y))) (neg.f64 y)) |
(/.f64 (*.f64 y (-.f64 -2 y)) (-.f64 4 (*.f64 y y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x)) |
(fma.f64 -1 (/.f64 (*.f64 y (+.f64 y 2)) (-.f64 4 (*.f64 y y))) (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y)))))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (/.f64 (*.f64 y (+.f64 y 2)) (-.f64 4 (*.f64 y y)))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (*.f64 y (/.f64 (+.f64 y 2) (-.f64 4 (*.f64 y y))))) |
(fma.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y)))) (/.f64 (*.f64 y (-.f64 -2 y)) (-.f64 4 (*.f64 y y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x))) |
(fma.f64 -1 (/.f64 (*.f64 y (+.f64 y 2)) (-.f64 4 (*.f64 y y))) (fma.f64 -1 (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y))) (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))))) |
(-.f64 (-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y)))) (/.f64 (*.f64 y (+.f64 y 2)) (-.f64 4 (*.f64 y y)))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (fma.f64 (/.f64 (+.f64 y 2) (-.f64 4 (*.f64 y y))) y (*.f64 (/.f64 x (-.f64 4 (*.f64 y y))) x))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (fma.f64 y (/.f64 (+.f64 y 2) (-.f64 4 (*.f64 y y))) (*.f64 (/.f64 x (-.f64 4 (*.f64 y y))) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x))) |
(fma.f64 -1 (/.f64 (*.f64 y (+.f64 y 2)) (-.f64 4 (*.f64 y y))) (fma.f64 -1 (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y))) (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))))) |
(-.f64 (-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y)))) (/.f64 (*.f64 y (+.f64 y 2)) (-.f64 4 (*.f64 y y)))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (fma.f64 (/.f64 (+.f64 y 2) (-.f64 4 (*.f64 y y))) y (*.f64 (/.f64 x (-.f64 4 (*.f64 y y))) x))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (fma.f64 y (/.f64 (+.f64 y 2) (-.f64 4 (*.f64 y y))) (*.f64 (/.f64 x (-.f64 4 (*.f64 y y))) x))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) |
(neg.f64 (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 4 (*.f64 y y))) |
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 4 (*.f64 y y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x)) |
(fma.f64 -1 (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y))) (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y)))))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y)))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (*.f64 (/.f64 x (-.f64 4 (*.f64 y y))) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x))) |
(fma.f64 -1 (/.f64 (*.f64 y (+.f64 y 2)) (-.f64 4 (*.f64 y y))) (fma.f64 -1 (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y))) (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))))) |
(-.f64 (-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y)))) (/.f64 (*.f64 y (+.f64 y 2)) (-.f64 4 (*.f64 y y)))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (fma.f64 (/.f64 (+.f64 y 2) (-.f64 4 (*.f64 y y))) y (*.f64 (/.f64 x (-.f64 4 (*.f64 y y))) x))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (fma.f64 y (/.f64 (+.f64 y 2) (-.f64 4 (*.f64 y y))) (*.f64 (/.f64 x (-.f64 4 (*.f64 y y))) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x))) |
(fma.f64 -1 (/.f64 (*.f64 y (+.f64 y 2)) (-.f64 4 (*.f64 y y))) (fma.f64 -1 (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y))) (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))))) |
(-.f64 (-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y)))) (/.f64 (*.f64 y (+.f64 y 2)) (-.f64 4 (*.f64 y y)))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (fma.f64 (/.f64 (+.f64 y 2) (-.f64 4 (*.f64 y y))) y (*.f64 (/.f64 x (-.f64 4 (*.f64 y y))) x))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (fma.f64 y (/.f64 (+.f64 y 2) (-.f64 4 (*.f64 y y))) (*.f64 (/.f64 x (-.f64 4 (*.f64 y y))) x))) |
(*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) |
(neg.f64 (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 x x)) (-.f64 4 (*.f64 y y))) |
(/.f64 (*.f64 x (neg.f64 x)) (-.f64 4 (*.f64 y y))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x)) |
(fma.f64 -1 (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y))) (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y)))))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y)))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (*.f64 (/.f64 x (-.f64 4 (*.f64 y y))) x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x))) |
(fma.f64 -1 (/.f64 (*.f64 y (+.f64 y 2)) (-.f64 4 (*.f64 y y))) (fma.f64 -1 (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y))) (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))))) |
(-.f64 (-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y)))) (/.f64 (*.f64 y (+.f64 y 2)) (-.f64 4 (*.f64 y y)))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (fma.f64 (/.f64 (+.f64 y 2) (-.f64 4 (*.f64 y y))) y (*.f64 (/.f64 x (-.f64 4 (*.f64 y y))) x))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (fma.f64 y (/.f64 (+.f64 y 2) (-.f64 4 (*.f64 y y))) (*.f64 (/.f64 x (-.f64 4 (*.f64 y y))) x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 y) y) (-.f64 4 (pow.f64 y 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (-.f64 4 (pow.f64 y 2)))) (*.f64 (+.f64 (*.f64 2 (/.f64 y (-.f64 4 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 (-.f64 4 (pow.f64 y 2))))) x))) |
(fma.f64 -1 (/.f64 (*.f64 y (+.f64 y 2)) (-.f64 4 (*.f64 y y))) (fma.f64 -1 (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y))) (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))))) |
(-.f64 (-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (/.f64 (*.f64 x x) (-.f64 4 (*.f64 y y)))) (/.f64 (*.f64 y (+.f64 y 2)) (-.f64 4 (*.f64 y y)))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (fma.f64 (/.f64 (+.f64 y 2) (-.f64 4 (*.f64 y y))) y (*.f64 (/.f64 x (-.f64 4 (*.f64 y y))) x))) |
(-.f64 (*.f64 x (fma.f64 2 (/.f64 y (-.f64 4 (*.f64 y y))) (/.f64 2 (-.f64 4 (*.f64 y y))))) (fma.f64 y (/.f64 (+.f64 y 2) (-.f64 4 (*.f64 y y))) (*.f64 (/.f64 x (-.f64 4 (*.f64 y y))) x))) |
(*.f64 1/4 (*.f64 (-.f64 2 x) x)) |
(*.f64 1/4 (*.f64 x (-.f64 2 x))) |
(+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y)) (*.f64 1/4 (*.f64 (-.f64 2 x) x))) |
(*.f64 1/4 (+.f64 (*.f64 y (fma.f64 -1 (-.f64 2 x) x)) (*.f64 x (-.f64 2 x)))) |
(*.f64 1/4 (fma.f64 y (-.f64 x (-.f64 2 x)) (*.f64 x (-.f64 2 x)))) |
(*.f64 1/4 (fma.f64 y (+.f64 x (+.f64 x -2)) (*.f64 x (-.f64 2 x)))) |
(*.f64 1/4 (fma.f64 y (fma.f64 2 x -2) (*.f64 x (-.f64 2 x)))) |
(+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/16 (*.f64 (-.f64 2 x) x)) 1/4))) (*.f64 1/4 (*.f64 (-.f64 2 x) x)))) |
(fma.f64 1/4 (*.f64 y (fma.f64 -1 (-.f64 2 x) x)) (fma.f64 -1 (*.f64 (*.f64 y y) (fma.f64 -1/16 (*.f64 x (-.f64 2 x)) 1/4)) (*.f64 1/4 (*.f64 x (-.f64 2 x))))) |
(+.f64 (*.f64 1/4 (fma.f64 y (-.f64 x (-.f64 2 x)) (*.f64 x (-.f64 2 x)))) (*.f64 (*.f64 y y) (neg.f64 (fma.f64 -1/16 (*.f64 x (-.f64 2 x)) 1/4)))) |
(-.f64 (*.f64 1/4 (fma.f64 y (+.f64 x (+.f64 x -2)) (*.f64 x (-.f64 2 x)))) (*.f64 (*.f64 y y) (fma.f64 x (+.f64 -1/8 (*.f64 x 1/16)) 1/4))) |
(-.f64 (*.f64 1/4 (fma.f64 y (fma.f64 2 x -2) (*.f64 x (-.f64 2 x)))) (*.f64 (*.f64 y y) (fma.f64 x (+.f64 -1/8 (*.f64 x 1/16)) 1/4))) |
(+.f64 (*.f64 1/16 (*.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) (pow.f64 y 3))) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/16 (*.f64 (-.f64 2 x) x)) 1/4))) (*.f64 1/4 (*.f64 (-.f64 2 x) x))))) |
(fma.f64 1/16 (*.f64 (pow.f64 y 3) (fma.f64 -1 (-.f64 2 x) x)) (fma.f64 1/4 (*.f64 y (fma.f64 -1 (-.f64 2 x) x)) (fma.f64 -1 (*.f64 (*.f64 y y) (fma.f64 -1/16 (*.f64 x (-.f64 2 x)) 1/4)) (*.f64 1/4 (*.f64 x (-.f64 2 x)))))) |
(fma.f64 1/16 (*.f64 (pow.f64 y 3) (-.f64 x (-.f64 2 x))) (+.f64 (*.f64 1/4 (fma.f64 y (-.f64 x (-.f64 2 x)) (*.f64 x (-.f64 2 x)))) (*.f64 (*.f64 y y) (neg.f64 (fma.f64 -1/16 (*.f64 x (-.f64 2 x)) 1/4))))) |
(+.f64 (-.f64 (*.f64 1/4 (*.f64 x (-.f64 2 x))) (*.f64 (*.f64 y y) (fma.f64 x (+.f64 -1/8 (*.f64 x 1/16)) 1/4))) (*.f64 (+.f64 x (+.f64 x -2)) (+.f64 (*.f64 y 1/4) (*.f64 1/16 (pow.f64 y 3))))) |
(+.f64 (*.f64 1/4 (*.f64 x (-.f64 2 x))) (fma.f64 (fma.f64 2 x -2) (+.f64 (*.f64 y 1/4) (*.f64 1/16 (pow.f64 y 3))) (*.f64 y (*.f64 (fma.f64 x (+.f64 -1/8 (*.f64 x 1/16)) 1/4) (neg.f64 y))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y))) |
(+.f64 1 (neg.f64 (/.f64 (fma.f64 -1 (-.f64 2 x) x) y))) |
(-.f64 1 (/.f64 (-.f64 x (-.f64 2 x)) y)) |
(-.f64 1 (/.f64 (+.f64 x (+.f64 x -2)) y)) |
(-.f64 1 (/.f64 (fma.f64 2 x -2) y)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 2)))))) |
(+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 -1 (-.f64 2 x) x) y) (fma.f64 -1 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (/.f64 4 (*.f64 y y))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 4 (*.f64 y y)) (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) (/.f64 (-.f64 x (-.f64 2 x)) y))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 (/.f64 4 y) y) (/.f64 (*.f64 (/.f64 x y) (-.f64 2 x)) y)) (/.f64 (+.f64 x (+.f64 x -2)) y))) |
(-.f64 (-.f64 (/.f64 (/.f64 4 y) y) (fma.f64 x (/.f64 (-.f64 2 x) (*.f64 y y)) -1)) (/.f64 (fma.f64 2 x -2) y)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (*.f64 -4 (/.f64 (+.f64 (*.f64 -1 (-.f64 2 x)) x) (pow.f64 y 3))))))) |
(+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 -1 (-.f64 2 x) x) y) (+.f64 (fma.f64 -1 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (/.f64 4 (*.f64 y y))) (*.f64 -4 (/.f64 (fma.f64 -1 (-.f64 2 x) x) (pow.f64 y 3)))))) |
(+.f64 1 (-.f64 (-.f64 (fma.f64 -4 (/.f64 (-.f64 x (-.f64 2 x)) (pow.f64 y 3)) (/.f64 4 (*.f64 y y))) (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) (/.f64 (-.f64 x (-.f64 2 x)) y))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 x (+.f64 x -2)) (*.f64 y y)) (+.f64 (/.f64 (/.f64 4 y) y) (*.f64 (/.f64 (+.f64 x (+.f64 x -2)) y) (+.f64 (/.f64 -4 (*.f64 y y)) -1))))) |
(+.f64 (-.f64 (/.f64 (/.f64 4 y) y) (fma.f64 x (/.f64 (-.f64 2 x) (*.f64 y y)) -1)) (*.f64 (/.f64 (fma.f64 2 x -2) y) (+.f64 (/.f64 -4 (*.f64 y y)) -1))) |
1 |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) (/.f64 x y)) |
(+.f64 1 (neg.f64 (/.f64 (fma.f64 -1 (-.f64 2 x) x) y))) |
(-.f64 1 (/.f64 (-.f64 x (-.f64 2 x)) y)) |
(-.f64 1 (/.f64 (+.f64 x (+.f64 x -2)) y)) |
(-.f64 1 (/.f64 (fma.f64 2 x -2) y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y)))))) (/.f64 x y)) |
(+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 -1 (-.f64 2 x) x) y) (fma.f64 -1 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (/.f64 4 (*.f64 y y))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 4 (*.f64 y y)) (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) (/.f64 (-.f64 x (-.f64 2 x)) y))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 (/.f64 4 y) y) (/.f64 (*.f64 (/.f64 x y) (-.f64 2 x)) y)) (/.f64 (+.f64 x (+.f64 x -2)) y))) |
(-.f64 (-.f64 (/.f64 (/.f64 4 y) y) (fma.f64 x (/.f64 (-.f64 2 x) (*.f64 y y)) -1)) (/.f64 (fma.f64 2 x -2) y)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 4 (/.f64 (-.f64 (+.f64 2 (*.f64 -1 x)) x) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) x) (pow.f64 y 2))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))))))) (/.f64 x y)) |
(+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 -1 (-.f64 2 x) x) y) (+.f64 (fma.f64 -1 (/.f64 (*.f64 x (-.f64 2 x)) (*.f64 y y)) (/.f64 4 (*.f64 y y))) (*.f64 -4 (/.f64 (fma.f64 -1 (-.f64 2 x) x) (pow.f64 y 3)))))) |
(+.f64 1 (-.f64 (-.f64 (fma.f64 -4 (/.f64 (-.f64 x (-.f64 2 x)) (pow.f64 y 3)) (/.f64 4 (*.f64 y y))) (*.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y))) (/.f64 (-.f64 x (-.f64 2 x)) y))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 x (+.f64 x -2)) (*.f64 y y)) (+.f64 (/.f64 (/.f64 4 y) y) (*.f64 (/.f64 (+.f64 x (+.f64 x -2)) y) (+.f64 (/.f64 -4 (*.f64 y y)) -1))))) |
(+.f64 (-.f64 (/.f64 (/.f64 4 y) y) (fma.f64 x (/.f64 (-.f64 2 x) (*.f64 y y)) -1)) (*.f64 (/.f64 (fma.f64 2 x -2) y) (+.f64 (/.f64 -4 (*.f64 y y)) -1))) |
Compiled 9790 to 5841 computations (40.3% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 446 | 7 | 453 |
| Fresh | 2 | 4 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 4 | 6 |
| Total | 451 | 15 | 466 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (/.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (/.f64 1 (-.f64 x y))) |
| ✓ | 33.4b | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| ▶ | 40.5b | (*.f64 (/.f64 y (+.f64 y 2)) 1) |
| 38.7b | -1 | |
| 38.7b | (+.f64 -1 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 2 y) x) x) (+.f64 (+.f64 y -2) y)) (/.f64 (+.f64 2 (*.f64 y -2)) x))) | |
| ▶ | 55.5b | (*.f64 -1/2 y) |
| ✓ | 30.0b | (/.f64 x (-.f64 2 x)) |
| ✓ | 54.0b | (*.f64 1/2 x) |
| ▶ | 30.1b | (/.f64 1 (/.f64 (-.f64 2 x) x)) |
| ▶ | 38.4b | (-.f64 -1 (*.f64 -2 (/.f64 y x))) |
| 40.9b | 1 | |
| 33.4b | (/.f64 1 (+.f64 (/.f64 -2 y) 1)) | |
| 40.7b | (+.f64 1 (/.f64 (*.f64 -2 x) y)) | |
| 40.7b | (+.f64 1 (/.f64 2 y)) | |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
Compiled 231 to 178 computations (22.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (-.f64 x y)) |
| ✓ | 0.0b | (/.f64 1 (-.f64 (-.f64 2 x) y)) |
| ✓ | 0.1b | (/.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (/.f64 1 (-.f64 x y))) |
Compiled 42 to 25 computations (40.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 1 (-.f64 x y)) |
| 0.0ms | y | @ | inf | (/.f64 1 (-.f64 (-.f64 2 x) y)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (/.f64 1 (-.f64 x y))) |
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 (-.f64 2 x) y)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 (-.f64 2 x) y)) |
| 1× | batch-egg-rewrite |
| 869× | prod-diff_binary64 |
| 614× | log-prod_binary64 |
| 396× | fma-def_binary64 |
| 233× | expm1-udef_binary64 |
| 233× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 1 | 264 | 30 |
| 2 | 3916 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (/.f64 1 (-.f64 x y))) |
(/.f64 1 (-.f64 (-.f64 2 x) y)) |
(/.f64 1 (-.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 (-.f64 2 (+.f64 x y)))) (*.f64 (neg.f64 y) (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) x) (*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2)) (*.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) 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((x *.f64 (/.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (cbrt.f64 (pow.f64 (-.f64 x y) -2))) (/.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (cbrt.f64 (/.f64 1 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (-.f64 x y) -1/2)) (/.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (pow.f64 (-.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2)) (pow.f64 (-.f64 x y) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))) (pow.f64 (-.f64 x y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) -1) (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (/.f64 -1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 3) (pow.f64 (/.f64 1 (-.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (*.f64 (neg.f64 y) (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) x (*.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))) (cbrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (pow.f64 (-.f64 2 (+.f64 x y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2) -1) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 2 (+.f64 x y))) -1) (pow.f64 (sqrt.f64 (-.f64 2 (+.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 y 3))) (fma.f64 y (-.f64 2 (-.f64 x y)) (pow.f64 (-.f64 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) (-.f64 2 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 2 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 2 (+.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 2 (+.f64 x y)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (-.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 x y) -2)) (cbrt.f64 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x y) -1/2) (pow.f64 (-.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 x y)) -1) (pow.f64 (sqrt.f64 (-.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 x y))) 1)))))) |
| 1× | egg-herbie |
| 744× | fma-def_binary64 |
| 667× | times-frac_binary64 |
| 539× | associate-/l*_binary64 |
| 440× | associate-/r*_binary64 |
| 355× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 178 | 2092 |
| 1 | 532 | 2019 |
| 2 | 1940 | 1751 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 2 y))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(/.f64 x (-.f64 2 x)) |
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2)))))) |
(/.f64 1 (-.f64 2 y)) |
(+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (/.f64 1 (-.f64 2 y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (/.f64 1 (-.f64 2 y)))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 2 y) 3)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (+.f64 (/.f64 1 (-.f64 2 y)) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 4))))) |
(/.f64 -1 x) |
(-.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2)) (pow.f64 x 4)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 -1 x) |
(-.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2)) (pow.f64 x 4)) (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 3)))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 (-.f64 2 x)) |
(+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 y (pow.f64 (-.f64 2 x) 2))) |
(+.f64 (/.f64 1 (-.f64 2 x)) (+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 3)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)) (+.f64 (/.f64 1 (-.f64 2 x)) (+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (/.f64 (pow.f64 y 2) (pow.f64 (-.f64 2 x) 3))))) |
(/.f64 -1 y) |
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) |
(/.f64 -1 y) |
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 x 2)) (pow.f64 y 4)) (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2)))) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) |
(/.f64 -1 y) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 -1 y) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(/.f64 -1 y) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 2 y))) |
(neg.f64 (/.f64 y (-.f64 2 y))) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)) |
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)) |
(-.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 y (-.f64 2 y))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))) |
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (-.f64 2 y) (*.f64 x x))))) |
(-.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x))) (/.f64 y (-.f64 2 y))) |
(fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (fma.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x) (/.f64 (neg.f64 y) (-.f64 2 y)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))) |
(+.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (-.f64 2 y) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3)))) |
(+.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x))) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)) (/.f64 y (-.f64 2 y)))) |
(+.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 y (-.f64 2 y))) (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (+.f64 (*.f64 x x) (/.f64 (pow.f64 x 3) (-.f64 2 y))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x))) |
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) |
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (/.f64 (*.f64 (-.f64 2 y) (fma.f64 2 y -2)) (*.f64 x x)) (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))) |
(+.f64 (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (-.f64 2 y))) |
(fma.f64 (/.f64 (/.f64 (fma.f64 y 2 -2) x) x) (-.f64 2 y) (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (fma.f64 2 y -2)) (*.f64 x x)) (fma.f64 2 (/.f64 y x) (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (fma.f64 2 y -2)) (pow.f64 x 3)))) (+.f64 1 (/.f64 2 x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (-.f64 2 y)) (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)))) |
(+.f64 (fma.f64 2 (/.f64 y x) (*.f64 (/.f64 (/.f64 (fma.f64 y 2 -2) x) x) (+.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) x) (-.f64 2 y)))) (+.f64 -1 (/.f64 -2 x))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x))) |
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) |
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (/.f64 (*.f64 (-.f64 2 y) (fma.f64 2 y -2)) (*.f64 x x)) (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))) |
(+.f64 (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (-.f64 2 y))) |
(fma.f64 (/.f64 (/.f64 (fma.f64 y 2 -2) x) x) (-.f64 2 y) (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (fma.f64 2 y -2)) (*.f64 x x)) (fma.f64 2 (/.f64 y x) (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (fma.f64 2 y -2)) (pow.f64 x 3)))) (+.f64 1 (/.f64 2 x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (-.f64 2 y)) (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)))) |
(+.f64 (fma.f64 2 (/.f64 y x) (*.f64 (/.f64 (/.f64 (fma.f64 y 2 -2) x) x) (+.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) x) (-.f64 2 y)))) (+.f64 -1 (/.f64 -2 x))) |
(/.f64 x (-.f64 2 x)) |
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))) |
(+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2)))))) |
(-.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) |
(fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (/.f64 x (-.f64 2 x))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)) (+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2))))))) |
(-.f64 (-.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (*.f64 y y))) |
(fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (fma.f64 (*.f64 y y) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 -1 (pow.f64 (-.f64 2 x) 2))) (/.f64 x (-.f64 2 x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 y 3) (fma.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4)) (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2)))))))) |
(-.f64 (fma.f64 -1 (fma.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (/.f64 x (-.f64 2 x))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (*.f64 y y))) |
(-.f64 (fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (fma.f64 (*.f64 y y) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 -1 (pow.f64 (-.f64 2 x) 2))) (/.f64 x (-.f64 2 x)))) (*.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (-.f64 2 x)) y))) |
(+.f64 (-.f64 1 (/.f64 x y)) (/.f64 (-.f64 2 x) y)) |
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (*.f64 y y) (-.f64 2 x)))) (/.f64 (neg.f64 (-.f64 2 x)) y))) |
(+.f64 1 (+.f64 (-.f64 (*.f64 (/.f64 (-.f64 2 x) (*.f64 y y)) (fma.f64 -1 x (-.f64 2 x))) (/.f64 x y)) (/.f64 (-.f64 2 x) y))) |
(+.f64 (fma.f64 (/.f64 (-.f64 2 x) (*.f64 y y)) (-.f64 (-.f64 2 x) x) 1) (/.f64 (-.f64 (-.f64 2 x) x) y)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(-.f64 (+.f64 (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (*.f64 y y) (-.f64 2 x))) (+.f64 1 (fma.f64 -1 (/.f64 x y) (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2)))))) (/.f64 (neg.f64 (-.f64 2 x)) y)) |
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1 |
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(/.f64 -1 y) |
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(-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y)) (/.f64 2 (*.f64 y y))) |
(-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))) |
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(-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 1 y)) (/.f64 2 (*.f64 y y))) |
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(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 y x) x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 (/.f64 y x) x) (/.f64 (*.f64 y y) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 x) (/.f64 y (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 (/.f64 y x) x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 y x) x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) |
(+.f64 (/.f64 1 x) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (+.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 (*.f64 y y) (pow.f64 x 3)))) (/.f64 (pow.f64 y 3) (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 (/.f64 y x) x) (/.f64 (*.f64 y y) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) |
(/.f64 -1 y) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 1 y)) |
(fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (/.f64 x (*.f64 y y))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (*.f64 -1 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) (/.f64 1 y)) |
(fma.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 -1 y)) |
(+.f64 (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))) (/.f64 -1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(+.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 -1 y)) |
(+.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 -1 y)) |
(/.f64 -1 y) |
(-.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (/.f64 (neg.f64 x) (*.f64 y y)) (/.f64 1 y)) |
(fma.f64 -1 (/.f64 x (*.f64 y y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (/.f64 x (*.f64 y y))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1 (/.f64 x (pow.f64 y 2)))) (/.f64 1 y)) |
(-.f64 (*.f64 -1 (+.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) (/.f64 1 y)) |
(fma.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 -1 y)) |
(+.f64 (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))) (/.f64 -1 y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 2))) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 -1 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(+.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 x (/.f64 (pow.f64 y 3) x))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 -1 y)) |
(+.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y y)) (-.f64 -1 (/.f64 x y))) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (/.f64 -1 y)) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 y (+.f64 y 2)) |
Compiled 20 to 14 computations (30% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 y (+.f64 y 2)) |
| 0.0ms | y | @ | inf | (/.f64 y (+.f64 y 2)) |
| 0.0ms | y | @ | -inf | (/.f64 y (+.f64 y 2)) |
| 1× | batch-egg-rewrite |
| 672× | pow1_binary64 |
| 633× | add-log-exp_binary64 |
| 632× | log1p-expm1-u_binary64 |
| 632× | expm1-log1p-u_binary64 |
| 622× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 117 | 7 |
| 2 | 1628 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (+.f64 y 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 2) (cbrt.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y 2))) (sqrt.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (+.f64 (neg.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (cbrt.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y 2))) (/.f64 y (sqrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y 2))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 8 (pow.f64 y 3))) (fma.f64 y y (-.f64 4 (*.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 y y -4)) (+.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 2) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 (neg.f64 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 y 2)))))))) |
| 1× | egg-herbie |
| 805× | unswap-sqr_binary64 |
| 748× | distribute-neg-frac_binary64 |
| 530× | associate-/r*_binary64 |
| 375× | fma-def_binary64 |
| 334× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 156 |
| 1 | 96 | 156 |
| 2 | 239 | 153 |
| 3 | 692 | 145 |
| 4 | 2223 | 145 |
| 5 | 6076 | 145 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 y) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 1/2 y)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 y) (*.f64 1/8 (pow.f64 y 3)))) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/16 (pow.f64 y 4)) (+.f64 (*.f64 1/2 y) (*.f64 1/8 (pow.f64 y 3))))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 y))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 y))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 y))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 y))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y)))) |
| Outputs |
|---|
(*.f64 1/2 y) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 1/2 y)) |
(fma.f64 -1/4 (*.f64 y y) (*.f64 1/2 y)) |
(fma.f64 1/2 y (*.f64 y (*.f64 y -1/4))) |
(*.f64 y (+.f64 1/2 (*.f64 y -1/4))) |
(*.f64 y (fma.f64 y -1/4 1/2)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 y) (*.f64 1/8 (pow.f64 y 3)))) |
(fma.f64 -1/4 (*.f64 y y) (fma.f64 1/2 y (*.f64 1/8 (pow.f64 y 3)))) |
(fma.f64 1/8 (pow.f64 y 3) (*.f64 y (+.f64 1/2 (*.f64 y -1/4)))) |
(*.f64 y (+.f64 (*.f64 y (fma.f64 y 1/8 -1/4)) 1/2)) |
(*.f64 y (+.f64 1/2 (*.f64 y (fma.f64 y 1/8 -1/4)))) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/16 (pow.f64 y 4)) (+.f64 (*.f64 1/2 y) (*.f64 1/8 (pow.f64 y 3))))) |
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/16 (pow.f64 y 4) (fma.f64 1/2 y (*.f64 1/8 (pow.f64 y 3))))) |
(fma.f64 -1/16 (pow.f64 y 4) (fma.f64 1/8 (pow.f64 y 3) (*.f64 y (+.f64 1/2 (*.f64 y -1/4))))) |
(fma.f64 y (fma.f64 y -1/4 1/2) (*.f64 (pow.f64 y 3) (+.f64 1/8 (*.f64 y -1/16)))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 y))) |
(-.f64 1 (/.f64 2 y)) |
(+.f64 1 (/.f64 -2 y)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 y y))) (/.f64 2 y)) |
(+.f64 (+.f64 1 (/.f64 4 (*.f64 y y))) (/.f64 -2 y)) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 -2 y))) |
(-.f64 1 (-.f64 (/.f64 2 y) (/.f64 (/.f64 4 y) y))) |
(-.f64 1 (+.f64 (/.f64 2 y) (/.f64 -4 (*.f64 y y)))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 y y))) (+.f64 (/.f64 2 y) (/.f64 8 (pow.f64 y 3)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 -2 y)) (/.f64 8 (pow.f64 y 3)))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (+.f64 (/.f64 -2 y) (/.f64 -8 (pow.f64 y 3))))) |
(+.f64 (-.f64 1 (-.f64 (/.f64 2 y) (/.f64 (/.f64 4 y) y))) (/.f64 -8 (pow.f64 y 3))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 -2 y))) (/.f64 8 (pow.f64 y 3))) |
(-.f64 (-.f64 1 (+.f64 (/.f64 2 y) (/.f64 -4 (*.f64 y y)))) (/.f64 8 (pow.f64 y 3))) |
1 |
(-.f64 1 (*.f64 2 (/.f64 1 y))) |
(-.f64 1 (/.f64 2 y)) |
(+.f64 1 (/.f64 -2 y)) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (*.f64 2 (/.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 y y))) (/.f64 2 y)) |
(+.f64 (+.f64 1 (/.f64 4 (*.f64 y y))) (/.f64 -2 y)) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 -2 y))) |
(-.f64 1 (-.f64 (/.f64 2 y) (/.f64 (/.f64 4 y) y))) |
(-.f64 1 (+.f64 (/.f64 2 y) (/.f64 -4 (*.f64 y y)))) |
(-.f64 (+.f64 1 (*.f64 4 (/.f64 1 (pow.f64 y 2)))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y)))) |
(-.f64 (+.f64 1 (/.f64 4 (*.f64 y y))) (+.f64 (/.f64 2 y) (/.f64 8 (pow.f64 y 3)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 -2 y)) (/.f64 8 (pow.f64 y 3)))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (+.f64 (/.f64 -2 y) (/.f64 -8 (pow.f64 y 3))))) |
(+.f64 (-.f64 1 (-.f64 (/.f64 2 y) (/.f64 (/.f64 4 y) y))) (/.f64 -8 (pow.f64 y 3))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 -2 y))) (/.f64 8 (pow.f64 y 3))) |
(-.f64 (-.f64 1 (+.f64 (/.f64 2 y) (/.f64 -4 (*.f64 y y)))) (/.f64 8 (pow.f64 y 3))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 -1 (*.f64 -2 (/.f64 y x))) |
Compiled 21 to 11 computations (47.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (-.f64 -1 (*.f64 -2 (/.f64 y x))) |
| 1.0ms | y | @ | 0 | (-.f64 -1 (*.f64 -2 (/.f64 y x))) |
| 0.0ms | x | @ | inf | (-.f64 -1 (*.f64 -2 (/.f64 y x))) |
| 0.0ms | x | @ | 0 | (-.f64 -1 (*.f64 -2 (/.f64 y x))) |
| 0.0ms | x | @ | -inf | (-.f64 -1 (*.f64 -2 (/.f64 y x))) |
| 1× | batch-egg-rewrite |
| 937× | pow1_binary64 |
| 873× | add-log-exp_binary64 |
| 873× | log1p-expm1-u_binary64 |
| 873× | expm1-log1p-u_binary64 |
| 858× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 178 | 10 |
| 2 | 2338 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 -1 (*.f64 -2 (/.f64 y x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (*.f64 (/.f64 y x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (*.f64 (/.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2))) (pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2))) 2) (cbrt.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2))) (sqrt.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (pow.f64 (*.f64 -2 (/.f64 y x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (*.f64 -2 (/.f64 y x)) 2) (*.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 -2 (/.f64 y x)) 2)) (/.f64 1 (+.f64 -1 (*.f64 -2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 -2 (/.f64 y x)) 2) (*.f64 (/.f64 y x) 2))) (-.f64 -1 (pow.f64 (*.f64 -2 (/.f64 y x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -1 (*.f64 -2 (/.f64 y x))) (-.f64 1 (pow.f64 (*.f64 -2 (/.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (pow.f64 (*.f64 -2 (/.f64 y x)) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 -2 (/.f64 y x)) 2) (*.f64 (/.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 -2 (/.f64 y x)) 2)) (+.f64 -1 (*.f64 -2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -1 (pow.f64 (*.f64 -2 (/.f64 y x)) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (*.f64 -2 (/.f64 y x)) 2) (*.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 -2 (/.f64 y x)) 2))) (neg.f64 (+.f64 -1 (*.f64 -2 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (*.f64 (/.f64 y x) 2) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 (/.f64 y x) 2) (*.f64 (/.f64 y x) 2)) (*.f64 -1 (*.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 (/.f64 y x) 2) (*.f64 (/.f64 y x) 2))) (-.f64 -1 (*.f64 (/.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (*.f64 (/.f64 y x) 2)))))))) |
| 1× | egg-herbie |
| 4× | fma-neg_binary64 |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | +-commutative_binary64 |
| 1× | associate-*r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 168 |
| 1 | 17 | 168 |
| 2 | 23 | 168 |
| 3 | 27 | 168 |
| 4 | 29 | 168 |
| 5 | 30 | 168 |
| 1× | saturated |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(*.f64 2 (/.f64 y x)) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(*.f64 2 (/.f64 y x)) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(*.f64 2 (/.f64 y x)) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
(*.f64 2 (/.f64 y x)) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
(*.f64 2 (/.f64 y x)) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
(*.f64 2 (/.f64 y x)) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(fma.f64 2 (/.f64 y x) -1) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 2 x) x) |
| ✓ | 0.1b | (/.f64 1 (/.f64 (-.f64 2 x) x)) |
Compiled 20 to 14 computations (30% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (/.f64 1 (/.f64 (-.f64 2 x) x)) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 2 x) x) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 2 x) x) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 2 x) x) |
| 0.0ms | x | @ | 0 | (/.f64 1 (/.f64 (-.f64 2 x) x)) |
| 1× | batch-egg-rewrite |
| 868× | pow1_binary64 |
| 815× | add-log-exp_binary64 |
| 814× | log1p-expm1-u_binary64 |
| 814× | expm1-log1p-u_binary64 |
| 799× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 161 | 14 |
| 2 | 2219 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (/.f64 (-.f64 2 x) x)) |
(/.f64 (-.f64 2 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (-.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) 2) (cbrt.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (-.f64 2 x))) (sqrt.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (-.f64 2 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 x)) (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 x) x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 2 x) x)) -1) (pow.f64 (sqrt.f64 (/.f64 (-.f64 2 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (/.f64 x (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 x))) (/.f64 x (sqrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 2 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 2 x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 8 (pow.f64 x 3))) (+.f64 4 (*.f64 x (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 4 (*.f64 x x))) (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (-.f64 2 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 2 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 2 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (-.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (-.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 2 x) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (-.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (-.f64 2 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 2 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 2 x) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 x) x)) 2) (cbrt.f64 (/.f64 (-.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) (*.f64 (cbrt.f64 (-.f64 2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 2 x) x)) (sqrt.f64 (/.f64 (-.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 2 x)) (*.f64 (sqrt.f64 (-.f64 2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 2 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 x)) 1) (/.f64 (sqrt.f64 (-.f64 2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 2 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 2 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 2 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 2 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 2 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 2 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 2 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 2 x) x))))))) |
| 1× | egg-herbie |
| 805× | unswap-sqr_binary64 |
| 506× | associate-/r*_binary64 |
| 479× | fma-def_binary64 |
| 382× | fma-neg_binary64 |
| 268× | distribute-lft-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 237 |
| 1 | 104 | 225 |
| 2 | 282 | 222 |
| 3 | 885 | 214 |
| 4 | 2706 | 214 |
| 5 | 6708 | 214 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/4 (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))) |
(+.f64 (*.f64 1/16 (pow.f64 x 4)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))) |
(/.f64 2 x) |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
| Outputs |
|---|
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/4 (pow.f64 x 2))) |
(fma.f64 1/2 x (*.f64 1/4 (*.f64 x x))) |
(*.f64 x (+.f64 (*.f64 x 1/4) 1/2)) |
(*.f64 x (fma.f64 x 1/4 1/2)) |
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))) |
(fma.f64 1/2 x (fma.f64 1/4 (*.f64 x x) (*.f64 1/8 (pow.f64 x 3)))) |
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 x 1/8)))) |
(*.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 1/8 1/4)))) |
(+.f64 (*.f64 1/16 (pow.f64 x 4)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3))))) |
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/2 x (fma.f64 1/4 (*.f64 x x) (*.f64 1/8 (pow.f64 x 3))))) |
(fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 x 1/8))))) |
(fma.f64 x (fma.f64 x 1/4 1/2) (*.f64 (pow.f64 x 3) (+.f64 1/8 (*.f64 x 1/16)))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 4 (*.f64 x x))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -4 (*.f64 x x))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -4 x) x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))) |
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 4 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 3))))) |
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 (/.f64 -4 x) x))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -4 (/.f64 8 x)))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))) |
(-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 4 (*.f64 x x))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -4 (*.f64 x x))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -4 x) x)) |
(neg.f64 (+.f64 1 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 4 (/.f64 1 (pow.f64 x 2))))))) |
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 4 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 3))))) |
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 (/.f64 -4 x) x))) |
(+.f64 (+.f64 -1 (/.f64 -2 x)) (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 -4 (/.f64 8 x)))) |
(/.f64 2 x) |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
-1 |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
(-.f64 (*.f64 2 (/.f64 1 x)) 1) |
(+.f64 (/.f64 2 x) -1) |
Compiled 5871 to 4004 computations (31.8% saved)
15 alts after pruning (7 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 341 | 2 | 343 |
| Fresh | 1 | 5 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 7 | 8 |
| Total | 343 | 15 | 358 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (/.f64 1 (-.f64 x y))) |
| ✓ | 33.4b | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| 38.7b | (+.f64 -1 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 2 y) x) x) (+.f64 (+.f64 y -2) y)) (/.f64 (+.f64 2 (*.f64 y -2)) x))) | |
| ✓ | 55.5b | (*.f64 -1/2 y) |
| ✓ | 30.0b | (/.f64 x (-.f64 2 x)) |
| ✓ | 54.0b | (*.f64 1/2 x) |
| ✓ | 30.1b | (/.f64 1 (/.f64 (-.f64 2 x) x)) |
| ✓ | 38.4b | (-.f64 -1 (*.f64 -2 (/.f64 y x))) |
| 61.6b | (*.f64 (*.f64 1/2 y) 1) | |
| 40.9b | 1 | |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| 38.7b | -1 | |
| 33.4b | (/.f64 1 (+.f64 (/.f64 -2 y) 1)) | |
| 40.7b | (+.f64 1 (/.f64 (*.f64 -2 x) y)) | |
| 40.7b | (+.f64 1 (/.f64 2 y)) |
Compiled 132 to 102 computations (22.7% saved)
| Inputs |
|---|
-1 |
1 |
1 |
-1 |
-1 |
1 |
(*.f64 -1/2 y) |
(*.f64 1/2 x) |
(*.f64 (*.f64 1/2 y) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 1 (/.f64 2 y)) |
(/.f64 x (-.f64 2 x)) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(*.f64 (/.f64 y (+.f64 y 2)) 1) |
(/.f64 1 (/.f64 (-.f64 2 x) x)) |
(-.f64 -1 (*.f64 -2 (/.f64 y x))) |
(/.f64 1 (+.f64 (/.f64 -2 y) 1)) |
(+.f64 1 (/.f64 (*.f64 -2 x) y)) |
(-.f64 -1 (/.f64 (+.f64 2 (*.f64 y -2)) x)) |
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y)) |
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
(/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))) |
(/.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (/.f64 1 (-.f64 x y))) |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 4 (*.f64 y y))) (+.f64 y (-.f64 2 x))) |
(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y)))) |
(+.f64 -1 (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 2 y) x) x) (+.f64 (+.f64 y -2) y)) (/.f64 (+.f64 2 (*.f64 y -2)) x))) |
(pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1) |
(fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y))))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) (+.f64 y (-.f64 2 x))) |
| Outputs |
|---|
(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y)))) |
4 calls:
| 56.0ms | (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
| 29.0ms | x |
| 29.0ms | y |
| 13.0ms | (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
| 0.0b | 1 | (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
Compiled 282 to 178 computations (36.9% saved)
| Inputs |
|---|
-1 |
1 |
1 |
-1 |
-1 |
1 |
(*.f64 -1/2 y) |
(*.f64 1/2 x) |
(*.f64 (*.f64 1/2 y) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 1 (/.f64 2 y)) |
(/.f64 x (-.f64 2 x)) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(*.f64 (/.f64 y (+.f64 y 2)) 1) |
(/.f64 1 (/.f64 (-.f64 2 x) x)) |
(-.f64 -1 (*.f64 -2 (/.f64 y x))) |
(/.f64 1 (+.f64 (/.f64 -2 y) 1)) |
(+.f64 1 (/.f64 (*.f64 -2 x) y)) |
(-.f64 -1 (/.f64 (+.f64 2 (*.f64 y -2)) x)) |
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y)) |
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
(/.f64 1 (/.f64 (-.f64 (-.f64 2 x) y) (-.f64 x y))) |
(/.f64 (/.f64 1 (-.f64 (-.f64 2 x) y)) (/.f64 1 (-.f64 x y))) |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(*.f64 (/.f64 (-.f64 x y) (-.f64 4 (*.f64 y y))) (+.f64 y (-.f64 2 x))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
4 calls:
| 16.0ms | x |
| 13.0ms | y |
| 8.0ms | (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
| 7.0ms | (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
| 0.0b | 1 | (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
Compiled 197 to 131 computations (33.5% saved)
| Inputs |
|---|
-1 |
1 |
1 |
-1 |
-1 |
1 |
(*.f64 -1/2 y) |
(*.f64 1/2 x) |
(*.f64 (*.f64 1/2 y) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 1 (/.f64 2 y)) |
(/.f64 x (-.f64 2 x)) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(*.f64 (/.f64 y (+.f64 y 2)) 1) |
(/.f64 1 (/.f64 (-.f64 2 x) x)) |
(-.f64 -1 (*.f64 -2 (/.f64 y x))) |
(/.f64 1 (+.f64 (/.f64 -2 y) 1)) |
(+.f64 1 (/.f64 (*.f64 -2 x) y)) |
(-.f64 -1 (/.f64 (+.f64 2 (*.f64 y -2)) x)) |
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y)) |
| Outputs |
|---|
(+.f64 1 (/.f64 (*.f64 -2 x) y)) |
(/.f64 x (-.f64 2 x)) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(-.f64 -1 (*.f64 -2 (/.f64 y x))) |
(+.f64 1 (/.f64 (*.f64 -2 x) y)) |
2 calls:
| 90.0ms | y |
| 70.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.9b | 3 | x |
| 12.8b | 5 | y |
Compiled 105 to 77 computations (26.7% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.0445455747685532e+113 | 1.3389236311172383e+115 |
| 19.0ms | 5.839597040537266e+66 | 8.097031365374573e+73 |
| 19.0ms | 1.310103937282823e-14 | 2.250932980465915e-12 |
| 18.0ms | -1.0814402661084875e+116 | -2.4622363776795956e+108 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
-1 |
1 |
1 |
-1 |
-1 |
1 |
(*.f64 -1/2 y) |
(*.f64 1/2 x) |
(*.f64 (*.f64 1/2 y) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 1 (/.f64 2 y)) |
(/.f64 x (-.f64 2 x)) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(*.f64 (/.f64 y (+.f64 y 2)) 1) |
(/.f64 1 (/.f64 (-.f64 2 x) x)) |
(-.f64 -1 (*.f64 -2 (/.f64 y x))) |
(/.f64 1 (+.f64 (/.f64 -2 y) 1)) |
| Outputs |
|---|
1 |
(/.f64 x (-.f64 2 x)) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
2 calls:
| 42.0ms | y |
| 29.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.9b | 3 | x |
| 13.9b | 3 | y |
Compiled 80 to 59 computations (26.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.310103937282823e-14 | 2.250932980465915e-12 |
| 18.0ms | -1.0814402661084875e+116 | -2.4622363776795956e+108 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
-1 |
1 |
1 |
-1 |
-1 |
1 |
(*.f64 -1/2 y) |
(*.f64 1/2 x) |
(*.f64 (*.f64 1/2 y) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 1 (/.f64 2 y)) |
(/.f64 x (-.f64 2 x)) |
| Outputs |
|---|
1 |
(/.f64 x (-.f64 2 x)) |
(+.f64 1 (/.f64 2 y)) |
2 calls:
| 105.0ms | x |
| 29.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 18.9b | 8 | x |
| 14.1b | 3 | y |
Compiled 40 to 31 computations (22.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 28.915651415127492 | 931886245.2863212 |
| 17.0ms | -1.0814402661084875e+116 | -2.4622363776795956e+108 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
-1 |
1 |
1 |
-1 |
-1 |
1 |
(*.f64 -1/2 y) |
(*.f64 1/2 x) |
(*.f64 (*.f64 1/2 y) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 1 (/.f64 2 y)) |
| Outputs |
|---|
1 |
-1 |
(*.f64 1/2 x) |
-1 |
(+.f64 1 (/.f64 2 y)) |
2 calls:
| 56.0ms | y |
| 30.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.7b | 5 | x |
| 20.2b | 5 | y |
Compiled 35 to 28 computations (20% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 28.915651415127492 | 931886245.2863212 |
| 22.0ms | 5.995276557546396e-263 | 3.338128712741378e-258 |
| 17.0ms | -9.197178315403776e-183 | -3.846553872094726e-183 |
| 18.0ms | -1.0814402661084875e+116 | -2.4622363776795956e+108 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
-1 |
1 |
1 |
-1 |
-1 |
1 |
(*.f64 -1/2 y) |
(*.f64 1/2 x) |
(*.f64 (*.f64 1/2 y) 1) |
| Outputs |
|---|
1 |
-1 |
(*.f64 1/2 x) |
-1 |
1 |
2 calls:
| 69.0ms | x |
| 57.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 20.7b | 7 | x |
| 20.3b | 5 | y |
Compiled 25 to 20 computations (20% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 73.0ms | 28.915651415127492 | 931886245.2863212 |
| 16.0ms | 5.995276557546396e-263 | 3.338128712741378e-258 |
| 19.0ms | -9.197178315403776e-183 | -3.846553872094726e-183 |
| 17.0ms | -1.0814402661084875e+116 | -2.4622363776795956e+108 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
-1 |
1 |
1 |
-1 |
-1 |
1 |
(*.f64 -1/2 y) |
| Outputs |
|---|
-1 |
1 |
(*.f64 -1/2 y) |
1 |
-1 |
2 calls:
| 50.0ms | x |
| 19.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 21.7b | 5 | x |
| 22.6b | 3 | y |
Compiled 17 to 14 computations (17.6% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.9823435904249616e+26 | 6.096791201659659e+26 |
| 48.0ms | 1.1436441326877896e-262 | 1.033203318819326e-260 |
| 17.0ms | 3.4227717972263933e-305 | 4.588179262377694e-303 |
| 18.0ms | -2.258594947245552e+20 | -2664625164107476.0 |
Compiled 16 to 11 computations (31.3% saved)
Total -40.3b remaining (-178.7%)
Threshold costs -40.3b (-178.7%)
| Inputs |
|---|
-1 |
1 |
1 |
-1 |
-1 |
1 |
| Outputs |
|---|
1 |
-1 |
1 |
2 calls:
| 36.0ms | y |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.8b | 3 | x |
| 22.6b | 3 | y |
Compiled 14 to 12 computations (14.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 80.0ms | 28.915651415127492 | 931886245.2863212 |
| 18.0ms | -1.0814402661084875e+116 | -2.4622363776795956e+108 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | egg-herbie |
| 17× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 11× | *-commutative_binary64 |
| 7× | neg-sub0_binary64 |
| 7× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 279 |
| 1 | 103 | 279 |
| 2 | 130 | 279 |
| 3 | 146 | 279 |
| 4 | 153 | 279 |
| 5 | 154 | 279 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y)))) |
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
(if (<=.f64 y -108144026610848751534197323324493103207261490490715353339508009879684967785947703692482056547419016041630069606580224) (+.f64 1 (/.f64 (*.f64 -2 x) y)) (if (<=.f64 y 4151885106144843/316912650057057350374175801344) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 5839597040537266214371448437983414380113523603481465403694624276480) (/.f64 (neg.f64 y) (-.f64 2 y)) (if (<=.f64 y 104454557476855319172863145184823633239528891249720259772128194002590226083289009600572117843244271056620431081472) (-.f64 -1 (*.f64 -2 (/.f64 y x))) (+.f64 1 (/.f64 (*.f64 -2 x) y)))))) |
(if (<=.f64 y -108144026610848751534197323324493103207261490490715353339508009879684967785947703692482056547419016041630069606580224) 1 (if (<=.f64 y 4151885106144843/316912650057057350374175801344) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y)))) |
(if (<=.f64 y -108144026610848751534197323324493103207261490490715353339508009879684967785947703692482056547419016041630069606580224) 1 (if (<=.f64 y 4069516154323229/140737488355328) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 2 y)))) |
(if (<=.f64 y -108144026610848751534197323324493103207261490490715353339508009879684967785947703692482056547419016041630069606580224) 1 (if (<=.f64 y -2749994101225047/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) -1 (if (<=.f64 y 136033288758422352/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (*.f64 1/2 x) (if (<=.f64 y 4069516154323229/140737488355328) -1 (+.f64 1 (/.f64 2 y)))))) |
(if (<=.f64 y -108144026610848751534197323324493103207261490490715353339508009879684967785947703692482056547419016041630069606580224) 1 (if (<=.f64 y -2749994101225047/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) -1 (if (<=.f64 y 136033288758422352/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (*.f64 1/2 x) (if (<=.f64 y 4069516154323229/140737488355328) -1 1)))) |
(if (<=.f64 x -29603855692536900583686144/131072) -1 (if (<=.f64 x 3382698849195973/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808) 1 (if (<=.f64 x 259493738187889472/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (*.f64 -1/2 y) (if (<=.f64 x 198234359042496159822118912) 1 -1)))) |
(if (<=.f64 y -108144026610848751534197323324493103207261490490715353339508009879684967785947703692482056547419016041630069606580224) 1 (if (<=.f64 y 4069516154323229/140737488355328) -1 1)) |
-1 |
| Outputs |
|---|
(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y)))) |
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
(if (<=.f64 y -108144026610848751534197323324493103207261490490715353339508009879684967785947703692482056547419016041630069606580224) (+.f64 1 (/.f64 (*.f64 -2 x) y)) (if (<=.f64 y 4151885106144843/316912650057057350374175801344) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 5839597040537266214371448437983414380113523603481465403694624276480) (/.f64 (neg.f64 y) (-.f64 2 y)) (if (<=.f64 y 104454557476855319172863145184823633239528891249720259772128194002590226083289009600572117843244271056620431081472) (-.f64 -1 (*.f64 -2 (/.f64 y x))) (+.f64 1 (/.f64 (*.f64 -2 x) y)))))) |
(if (<=.f64 y -108144026610848751534197323324493103207261490490715353339508009879684967785947703692482056547419016041630069606580224) (+.f64 1 (/.f64 (*.f64 x -2) y)) (if (<=.f64 y 4151885106144843/316912650057057350374175801344) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 5839597040537266214371448437983414380113523603481465403694624276480) (/.f64 (neg.f64 y) (-.f64 2 y)) (if (<=.f64 y 104454557476855319172863145184823633239528891249720259772128194002590226083289009600572117843244271056620431081472) (-.f64 -1 (*.f64 -2 (/.f64 y x))) (+.f64 1 (/.f64 (*.f64 x -2) y)))))) |
(if (<=.f64 y -108144026610848751534197323324493103207261490490715353339508009879684967785947703692482056547419016041630069606580224) 1 (if (<=.f64 y 4151885106144843/316912650057057350374175801344) (/.f64 x (-.f64 2 x)) (/.f64 (neg.f64 y) (-.f64 2 y)))) |
(if (<=.f64 y -108144026610848751534197323324493103207261490490715353339508009879684967785947703692482056547419016041630069606580224) 1 (if (<=.f64 y 4069516154323229/140737488355328) (/.f64 x (-.f64 2 x)) (+.f64 1 (/.f64 2 y)))) |
(if (<=.f64 y -108144026610848751534197323324493103207261490490715353339508009879684967785947703692482056547419016041630069606580224) 1 (if (<=.f64 y -2749994101225047/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) -1 (if (<=.f64 y 136033288758422352/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (*.f64 1/2 x) (if (<=.f64 y 4069516154323229/140737488355328) -1 (+.f64 1 (/.f64 2 y)))))) |
(if (<=.f64 y -108144026610848751534197323324493103207261490490715353339508009879684967785947703692482056547419016041630069606580224) 1 (if (<=.f64 y -2749994101225047/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) -1 (if (<=.f64 y 8502080547401397/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216) (*.f64 x 1/2) (if (<=.f64 y 4069516154323229/140737488355328) -1 (+.f64 1 (/.f64 2 y)))))) |
(if (<=.f64 y -108144026610848751534197323324493103207261490490715353339508009879684967785947703692482056547419016041630069606580224) 1 (if (<=.f64 y -2749994101225047/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) -1 (if (<=.f64 y 136033288758422352/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (*.f64 1/2 x) (if (<=.f64 y 4069516154323229/140737488355328) -1 1)))) |
(if (<=.f64 y -108144026610848751534197323324493103207261490490715353339508009879684967785947703692482056547419016041630069606580224) 1 (if (<=.f64 y -2749994101225047/299004108316488185848867822351174292268202623451041623610437960853046897358187881202051502002495252055893102400215083077513294952620060704653486412249315029041282722978874323768631243063073425063936) -1 (if (<=.f64 y 8502080547401397/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216) (*.f64 x 1/2) (if (<=.f64 y 4069516154323229/140737488355328) -1 1)))) |
(if (<=.f64 x -29603855692536900583686144/131072) -1 (if (<=.f64 x 3382698849195973/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808) 1 (if (<=.f64 x 259493738187889472/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) (*.f64 -1/2 y) (if (<=.f64 x 198234359042496159822118912) 1 -1)))) |
(if (<=.f64 x -225859494724555210752) -1 (if (<=.f64 x 3382698849195973/98829225247710262867429368515096341332791332892647518728955741224331220492185227974590031104217345944915565363435943316108305047551656971126471386689813725547615929822542168634993607295943953291620980311754270053008792716515963231747120779125566189619536160406425180445475300105093018814544105228831057745755716670455808) 1 (if (<=.f64 x 4054589659185773/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (*.f64 y -1/2) (if (<=.f64 x 198234359042496159822118912) 1 -1)))) |
(if (<=.f64 y -108144026610848751534197323324493103207261490490715353339508009879684967785947703692482056547419016041630069606580224) 1 (if (<=.f64 y 4069516154323229/140737488355328) -1 1)) |
-1 |
Compiled 216 to 162 computations (25% saved)
| 1× | egg-herbie |
| 1142× | fma-neg_binary64 |
| 983× | fma-def_binary64 |
| 651× | div-sub_binary64 |
| 413× | sub-neg_binary64 |
| 386× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 18 | 13 |
| 2 | 35 | 13 |
| 3 | 77 | 13 |
| 4 | 188 | 13 |
| 5 | 357 | 13 |
| 6 | 886 | 13 |
| 7 | 2396 | 13 |
| 8 | 4744 | 13 |
| 9 | 6567 | 13 |
| 10 | 7144 | 13 |
| 11 | 7528 | 13 |
| 12 | 7596 | 13 |
| 13 | 7616 | 13 |
| 1× | node limit |
Compiled 22 to 14 computations (36.4% saved)
Compiled 198 to 143 computations (27.8% saved)
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