Time bar (total: 8.0s)
| 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)
| 1.1s | 8256× | body | 256 | 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 | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| 2.0ms | 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)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 89 | 7 | 96 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 89 | 8 | 97 |
| Status | Error | Program |
|---|---|---|
| ▶ | 24.5b | (*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y))))) |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| ▶ | 39.3b | (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
| 39.3b | -1 | |
| 38.0b | 1 | |
| ▶ | 0.1b | (fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y))))) |
| ▶ | 31.3b | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| ▶ | 30.9b | (/.f64 x (-.f64 2 x)) |
Compiled 155 to 109 computations (29.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (-.f64 2 (+.f64 x y))) |
| ✓ | 0.0b | (/.f64 y (-.f64 2 (+.f64 x y))) |
| ✓ | 0.1b | (fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y))))) |
Compiled 53 to 27 computations (49.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (/.f64 y (-.f64 2 (+.f64 x y))) |
| 2.0ms | x | @ | 0 | (fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y))))) |
| 2.0ms | y | @ | inf | (fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y))))) |
| 2.0ms | y | @ | 0 | (fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y))))) |
| 1.0ms | x | @ | inf | (fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y))))) |
| 1× | batch-egg-rewrite |
| 900× | prod-diff_binary64 |
| 532× | log-prod_binary64 |
| 284× | fma-def_binary64 |
| 264× | egg-rr |
| 203× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 1 | 249 | 42 |
| 2 | 3525 | 42 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y))))) |
(/.f64 y (-.f64 2 (+.f64 x y))) |
(/.f64 1 (-.f64 2 (+.f64 x y))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 778× | associate-/l*_binary64 |
| 553× | associate-/r*_binary64 |
| 301× | cancel-sign-sub-inv_binary64 |
| 288× | associate-*l/_binary64 |
| 268× | distribute-rgt-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 2428 |
| 1 | 767 | 2343 |
| 2 | 2766 | 2019 |
| 1× | node limit |
| Inputs |
|---|
(*.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 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2)) (+.f64 (/.f64 y x) (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (/.f64 y x))))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2)) (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2)) (pow.f64 x 3)) (+.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 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (/.f64 y x))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 y 2)) y) x)) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 y 2)) y) x)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2)) (+.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 (-.f64 2 y) y) (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 y 2)) y) x))))) 1) |
(/.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 x (-.f64 2 x)) (*.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (pow.f64 y 2)))) |
(+.f64 (*.f64 y (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (-.f64 2 x)))) (+.f64 (*.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 4)) (/.f64 1 (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 3)) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 1 (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) (-.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 x 2) x) (pow.f64 y 2)))))) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 (*.f64 x (-.f64 x 2)) (pow.f64 y 2)) (+.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 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 2 x) (*.f64 x (-.f64 x 2))) (pow.f64 y 3)))))))) (/.f64 x y)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y))) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (/.f64 (*.f64 (-.f64 x 2) x) (pow.f64 y 2)))) (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 (*.f64 x (-.f64 x 2)) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (-.f64 2 x) (*.f64 (-.f64 x 2) x))) (*.f64 -1 (*.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 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 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))))) |
| 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 y (pow.f64 (-.f64 2 y) 2))) (/.f64 1 (-.f64 2 y))) x)) |
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (*.f64 (fma.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 2)) (/.f64 1 (-.f64 2 y))) 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 -1 (+.f64 y -2)) (/.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 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 (fma.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 2)) (/.f64 1 (-.f64 2 y))) x))) |
(-.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (*.f64 x x))) (/.f64 y (-.f64 2 y))) |
(-.f64 (*.f64 x (+.f64 (-.f64 (/.f64 -1 (+.f64 y -2)) (/.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 (fma.f64 -1 (/.f64 y (pow.f64 (-.f64 2 y) 2)) (/.f64 1 (-.f64 2 y))) x)))) |
(-.f64 (fma.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (/.f64 y (pow.f64 (-.f64 2 y) 4))) (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (*.f64 x x)))) (/.f64 y (-.f64 2 y))) |
(-.f64 (fma.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (/.f64 y (pow.f64 (-.f64 2 y) 4))) (pow.f64 x 3) (*.f64 x (+.f64 (-.f64 (/.f64 -1 (+.f64 y -2)) (/.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 (/.f64 2 x) (neg.f64 (/.f64 y x))))) |
(-.f64 (/.f64 y x) (+.f64 1 (-.f64 (/.f64 2 x) (/.f64 y x)))) |
(+.f64 (/.f64 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 (-.f64 2 y) y) (pow.f64 x 2)))) (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (/.f64 y x))))) |
(+.f64 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (*.f64 x x)) (-.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x))) (+.f64 1 (+.f64 (/.f64 2 x) (neg.f64 (/.f64 y x)))))) |
(-.f64 (+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (+.f64 y -2) x)) (+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 (-.f64 2 y) x)))) (+.f64 1 (-.f64 (/.f64 2 x) (/.f64 y x)))) |
(+.f64 (+.f64 (/.f64 y x) (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) (+.f64 (+.f64 y -2) y))) (-.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 (*.f64 (pow.f64 (-.f64 2 y) 2) (-.f64 y 2)) (pow.f64 x 3)) (+.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 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 -1 (/.f64 y x))))) |
(+.f64 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (*.f64 x x)) (-.f64 (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) (+.f64 y -2))) (+.f64 (/.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x)) (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) y))))) (+.f64 1 (+.f64 (/.f64 2 x) (neg.f64 (/.f64 y x)))))) |
(+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (+.f64 y -2) x)) (+.f64 (+.f64 (*.f64 (/.f64 y x) (/.f64 (-.f64 2 y) x)) (+.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) y)) (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3)) (+.f64 y -2)))) (-.f64 (/.f64 y x) (+.f64 1 (-.f64 (/.f64 2 x) (/.f64 y x)))))) |
(+.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 y x) (/.f64 (-.f64 2 y) x)) (*.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3)) (+.f64 y (+.f64 y -2))))) (fma.f64 (/.f64 (-.f64 2 y) x) (/.f64 (+.f64 y -2) x) (-.f64 -1 (/.f64 (-.f64 2 y) x)))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 y 2)) y) x)) 1) |
(fma.f64 -1 (/.f64 (-.f64 (neg.f64 (+.f64 y -2)) y) x) -1) |
(fma.f64 -1 (/.f64 (-.f64 (-.f64 2 y) y) x) -1) |
(+.f64 -1 (/.f64 (+.f64 (+.f64 y -2) y) x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (-.f64 2 y) y) (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 y 2)) y) x)))) 1) |
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(+.f64 -1 (+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (+.f64 y -2) x)) (-.f64 (*.f64 (/.f64 y x) (/.f64 (-.f64 2 y) x)) (/.f64 (-.f64 (-.f64 2 y) y) x)))) |
(+.f64 -1 (+.f64 (/.f64 (+.f64 (+.f64 y -2) y) x) (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) (+.f64 (+.f64 y -2) y)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (-.f64 y 2)) (pow.f64 x 2)) (+.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 (-.f64 2 y) y) (pow.f64 x 2)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (-.f64 y 2)) y) x))))) 1) |
(+.f64 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (*.f64 x x)) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (pow.f64 (-.f64 2 y) 2) (+.f64 y -2)) (neg.f64 (*.f64 y (pow.f64 (-.f64 2 y) 2)))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (+.f64 y -2)) y) x)))) 1)) |
(+.f64 (-.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (+.f64 y -2) x)) (/.f64 (*.f64 (neg.f64 (pow.f64 (-.f64 2 y) 2)) (+.f64 (+.f64 y -2) y)) (pow.f64 x 3))) (+.f64 (-.f64 (*.f64 (/.f64 y x) (/.f64 (-.f64 2 y) x)) (/.f64 (-.f64 (-.f64 2 y) y) x)) -1)) |
(+.f64 -1 (+.f64 (+.f64 (/.f64 (+.f64 (+.f64 y -2) y) x) (*.f64 (/.f64 (-.f64 2 y) (*.f64 x x)) (+.f64 (+.f64 y -2) y))) (/.f64 (*.f64 (pow.f64 (-.f64 2 y) 2) (+.f64 (+.f64 y -2) y)) (pow.f64 x 3)))) |
(/.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 x (-.f64 2 x)) (*.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (pow.f64 y 2)))) |
(+.f64 (fma.f64 y (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (-.f64 2 x))) (/.f64 x (-.f64 2 x))) (*.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (*.f64 y y))) |
(fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (*.f64 y y) (/.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 (/.f64 x (pow.f64 (-.f64 2 x) 4)) (/.f64 1 (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 3)) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (pow.f64 y 2))))) |
(fma.f64 y (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 1 (-.f64 2 x))) (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 4)) (/.f64 1 (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 3) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (*.f64 y y))))) |
(fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 4)) (/.f64 1 (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 3) (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (*.f64 y y) (/.f64 x (-.f64 2 x))))) |
(fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 4)) (/.f64 -1 (pow.f64 (-.f64 2 x) 3))) (pow.f64 y 3) (fma.f64 (-.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (*.f64 y y) (/.f64 x (-.f64 2 x))))) |
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 (*.f64 -1 (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 2))) (+.f64 (*.f64 2 (/.f64 1 y)) (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 x 2) x) (pow.f64 y 2)))))) (/.f64 x y)) |
(-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) (+.f64 x -2))) (+.f64 (/.f64 2 y) (fma.f64 -1 (/.f64 x y) (/.f64 x (/.f64 (*.f64 y y) (+.f64 x -2))))))) (/.f64 x y)) |
(+.f64 (-.f64 (+.f64 (/.f64 (+.f64 x -2) (/.f64 y (/.f64 x y))) (/.f64 (-.f64 2 x) y)) (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (+.f64 x -2) y))) (-.f64 1 (/.f64 x y))) |
(+.f64 (+.f64 (/.f64 (-.f64 2 x) y) (*.f64 (/.f64 (+.f64 x -2) y) (-.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y)))) (-.f64 1 (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 (*.f64 x (-.f64 x 2)) (pow.f64 y 2)) (+.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 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 2 x) (*.f64 x (-.f64 x 2))) (pow.f64 y 3)))))))) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 x (/.f64 (*.f64 y y) (+.f64 x -2))) (+.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) (fma.f64 -1 (/.f64 x y) (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (*.f64 x (+.f64 x -2)))))))))) (/.f64 x y)) |
(+.f64 (/.f64 (+.f64 x -2) (/.f64 y (/.f64 x y))) (+.f64 1 (-.f64 (-.f64 (-.f64 (+.f64 (*.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (*.f64 x (+.f64 x -2))) (/.f64 (-.f64 2 x) y)) (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (+.f64 x -2) y))) (*.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 3)) (+.f64 x -2))) (/.f64 x y)))) |
(+.f64 (+.f64 (+.f64 (/.f64 (-.f64 2 x) y) (*.f64 (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (+.f64 x -2) y)) (+.f64 (/.f64 x y) -1))) (+.f64 1 (pow.f64 (/.f64 (-.f64 2 x) y) 3))) (*.f64 (/.f64 x y) (+.f64 (/.f64 (+.f64 x -2) y) -1))) |
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 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (/.f64 (*.f64 (-.f64 x 2) x) (pow.f64 y 2)))) (/.f64 (*.f64 (-.f64 2 x) (-.f64 x 2)) (pow.f64 y 2))) |
(-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 2 x -2) y) (/.f64 x (/.f64 (*.f64 y y) (+.f64 x -2))))) (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) (+.f64 x -2)))) |
(+.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (-.f64 (/.f64 (+.f64 x -2) (/.f64 y (/.f64 x y))) (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (+.f64 x -2) y)))) |
(+.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (*.f64 (/.f64 (+.f64 x -2) y) (-.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y)))) |
(-.f64 (+.f64 (/.f64 (*.f64 x (-.f64 x 2)) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (-.f64 2 x) (*.f64 (-.f64 x 2) x))) (*.f64 -1 (*.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 (+.f64 (/.f64 x (/.f64 (*.f64 y y) (+.f64 x -2))) (+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 2 x -2) y) (neg.f64 (/.f64 (*.f64 -1 (-.f64 (*.f64 (-.f64 2 x) (*.f64 x (+.f64 x -2))) (*.f64 (pow.f64 (-.f64 2 x) 2) (+.f64 x -2)))) (pow.f64 y 3)))))) (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) (+.f64 x -2)))) |
(+.f64 (-.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (/.f64 (neg.f64 (*.f64 (+.f64 x -2) (-.f64 (*.f64 x (-.f64 2 x)) (pow.f64 (-.f64 2 x) 2)))) (pow.f64 y 3))) (-.f64 (/.f64 (+.f64 x -2) (/.f64 y (/.f64 x y))) (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (+.f64 x -2) y)))) |
(+.f64 (+.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (/.f64 (*.f64 (+.f64 x -2) (*.f64 (-.f64 2 x) (-.f64 x (-.f64 2 x)))) (pow.f64 y 3))) (*.f64 (/.f64 (+.f64 x -2) y) (-.f64 (/.f64 x y) (/.f64 (-.f64 2 x) y)))) |
(/.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 y) 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 (/.f64 x y) (/.f64 (-.f64 2 x) (/.f64 (*.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 y) 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 (*.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 3)) (+.f64 x -2)) (+.f64 (/.f64 x y) (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (+.f64 x -2) y)))) (+.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 (-.f64 2 x) y) (-.f64 -1 (/.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 (/.f64 (neg.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 y (-.f64 2 y)) (/.f64 y (/.f64 (pow.f64 (-.f64 2 y) 2) x))) |
(+.f64 (/.f64 y (-.f64 2 y)) (*.f64 (/.f64 y (pow.f64 (-.f64 2 y) 2)) x)) |
(*.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 y (/.f64 (pow.f64 (-.f64 2 y) 2) x))) (/.f64 y (/.f64 (pow.f64 (-.f64 2 y) 3) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 2 y) 2)) x) (+.f64 (/.f64 y (-.f64 2 y)) (*.f64 (/.f64 y (pow.f64 (-.f64 2 y) 3)) (*.f64 x x)))) |
(+.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 2 y) 2)) (+.f64 (/.f64 (*.f64 x x) (-.f64 2 y)) x)) (/.f64 y (-.f64 2 y))) |
(+.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 (*.f64 y (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 4)) (/.f64 y (-.f64 2 y))) (/.f64 y (/.f64 (pow.f64 (-.f64 2 y) 2) x)))) |
(+.f64 (+.f64 (/.f64 y (-.f64 2 y)) (*.f64 (/.f64 y (pow.f64 (-.f64 2 y) 2)) x)) (+.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 2 y) 3)) (*.f64 x x)) (/.f64 (*.f64 y (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 4)))) |
(+.f64 (+.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 2 y) 2)) (+.f64 (/.f64 (*.f64 x x) (-.f64 2 y)) x)) (/.f64 y (-.f64 2 y))) (*.f64 (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 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))) |
(*.f64 -1 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x)))) |
(-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y x) (/.f64 (-.f64 2 y) x))) |
(*.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)) (*.f64 -1 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y x) (/.f64 (-.f64 2 y) x))) (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) y))) |
(-.f64 (*.f64 (/.f64 y x) (-.f64 -1 (/.f64 (-.f64 2 y) x))) (*.f64 (/.f64 y (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2))) |
(+.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 (pow.f64 (-.f64 2 y) 3) (/.f64 (pow.f64 x 4) y))) (*.f64 (/.f64 y x) (/.f64 (-.f64 2 y) x))) (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) y))) |
(-.f64 (-.f64 (*.f64 (/.f64 y x) (-.f64 -1 (/.f64 (-.f64 2 y) x))) (*.f64 (/.f64 y (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2))) (*.f64 (/.f64 y (pow.f64 x 4)) (pow.f64 (-.f64 2 y) 3))) |
(*.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))) |
(*.f64 -1 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x)))) |
(-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y x) (/.f64 (-.f64 2 y) x))) |
(*.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)) (*.f64 -1 (+.f64 (/.f64 y x) (/.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x))))) |
(-.f64 (-.f64 (/.f64 (neg.f64 y) x) (*.f64 (/.f64 y x) (/.f64 (-.f64 2 y) x))) (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) y))) |
(-.f64 (*.f64 (/.f64 y x) (-.f64 -1 (/.f64 (-.f64 2 y) x))) (*.f64 (/.f64 y (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2))) |
(+.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 (pow.f64 (-.f64 2 y) 3) (/.f64 (pow.f64 x 4) y))) (*.f64 (/.f64 y x) (/.f64 (-.f64 2 y) x))) (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 3) y))) |
(-.f64 (-.f64 (*.f64 (/.f64 y x) (-.f64 -1 (/.f64 (-.f64 2 y) x))) (*.f64 (/.f64 y (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2))) (*.f64 (/.f64 y (pow.f64 x 4)) (pow.f64 (-.f64 2 y) 3))) |
(/.f64 1 (-.f64 2 y)) |
(/.f64 -1 (+.f64 y -2)) |
(+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (/.f64 1 (-.f64 2 y))) |
(+.f64 (/.f64 1 (-.f64 2 y)) (/.f64 x (pow.f64 (-.f64 2 y) 2))) |
(+.f64 (/.f64 -1 (+.f64 y -2)) (/.f64 x (pow.f64 (-.f64 2 y) 2))) |
(+.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 (/.f64 1 (-.f64 2 y)) (/.f64 x (pow.f64 (-.f64 2 y) 2))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 2 y) 3))) |
(+.f64 (/.f64 1 (-.f64 2 y)) (+.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (/.f64 (*.f64 x x) (pow.f64 (-.f64 2 y) 3)))) |
(+.f64 (/.f64 -1 (+.f64 y -2)) (*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (pow.f64 (-.f64 2 y) 2)))) |
(+.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 (/.f64 (*.f64 x x) (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 (/.f64 x (pow.f64 (-.f64 2 y) 2)) (+.f64 (+.f64 (/.f64 1 (-.f64 2 y)) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 4))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 2 y) 3)))) |
(+.f64 (+.f64 (/.f64 -1 (+.f64 y -2)) (*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (pow.f64 (-.f64 2 y) 2)))) (/.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 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 (+.f64 y -2) (*.f64 x x)) (/.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 y (*.f64 x x)) (-.f64 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (*.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (+.f64 y -2)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)) (+.f64 (/.f64 (+.f64 y -2) (*.f64 x x)) (/.f64 -1 x))) |
(-.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 (/.f64 y (*.f64 x x)) (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (pow.f64 x 3)) (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 4) (+.f64 y -2)))) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (*.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (+.f64 y -2)) (-.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 4) (+.f64 y -2))) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))))) |
(+.f64 (*.f64 (+.f64 y -2) (+.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 4)))) (+.f64 (/.f64 (+.f64 y -2) (*.f64 x x)) (/.f64 -1 x))) |
(/.f64 -1 x) |
(-.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(-.f64 (/.f64 y (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 (+.f64 y -2) (*.f64 x x)) (/.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 y (*.f64 x x)) (-.f64 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 y (*.f64 x x)) (-.f64 (*.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (+.f64 y -2)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)) (+.f64 (/.f64 (+.f64 y -2) (*.f64 x x)) (/.f64 -1 x))) |
(-.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 (/.f64 y (*.f64 x x)) (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 y) (+.f64 y -2)) (pow.f64 x 3)) (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 4) (+.f64 y -2)))) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 y (*.f64 x x)) (+.f64 (*.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (+.f64 y -2)) (-.f64 (/.f64 (pow.f64 (-.f64 2 y) 2) (/.f64 (pow.f64 x 4) (+.f64 y -2))) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))))) |
(+.f64 (*.f64 (+.f64 y -2) (+.f64 (/.f64 (-.f64 2 y) (pow.f64 x 3)) (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 4)))) (+.f64 (/.f64 (+.f64 y -2) (*.f64 x x)) (/.f64 -1 x))) |
(/.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 1 (-.f64 2 x)) (+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 3)))) |
(+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 3)))) |
(+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (pow.f64 (-.f64 2 x) 2)))) |
(+.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 (+.f64 (/.f64 1 (-.f64 2 x)) (+.f64 (/.f64 y (pow.f64 (-.f64 2 x) 2)) (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 3)))) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4))) |
(+.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 y (pow.f64 (-.f64 2 x) 2))) (+.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 2 x) 3)) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)))) |
(+.f64 (/.f64 1 (-.f64 2 x)) (+.f64 (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (pow.f64 (-.f64 2 x) 2))) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 4)))) |
(/.f64 -1 y) |
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))) |
(-.f64 (/.f64 (/.f64 x y) y) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))) |
(+.f64 (/.f64 (+.f64 x -2) (*.f64 y y)) (/.f64 -1 y)) |
(-.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 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))))) |
(+.f64 (/.f64 (/.f64 x y) y) (-.f64 (*.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))))) |
(+.f64 (+.f64 (/.f64 (+.f64 x -2) (*.f64 y y)) (/.f64 -1 y)) (*.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -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 (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 4) (+.f64 x -2))) (+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))))) |
(+.f64 (+.f64 (/.f64 (/.f64 x y) y) (*.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2))) (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 4)) (+.f64 x -2)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))))) |
(+.f64 (*.f64 (+.f64 x -2) (+.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 4)))) (+.f64 (/.f64 (+.f64 x -2) (*.f64 y y)) (/.f64 -1 y))) |
(/.f64 -1 y) |
(-.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) |
(-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))) |
(-.f64 (/.f64 (/.f64 x y) y) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))) |
(+.f64 (/.f64 (+.f64 x -2) (*.f64 y y)) (/.f64 -1 y)) |
(-.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 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))))) |
(+.f64 (/.f64 (/.f64 x y) y) (-.f64 (*.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))))) |
(+.f64 (+.f64 (/.f64 (+.f64 x -2) (*.f64 y y)) (/.f64 -1 y)) (*.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -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 (/.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (pow.f64 y 4) (+.f64 x -2))) (+.f64 (/.f64 (-.f64 2 x) (/.f64 (pow.f64 y 3) (+.f64 x -2))) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))))) |
(+.f64 (+.f64 (/.f64 (/.f64 x y) y) (*.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (+.f64 x -2))) (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 4)) (+.f64 x -2)) (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))))) |
(+.f64 (*.f64 (+.f64 x -2) (+.f64 (/.f64 (-.f64 2 x) (pow.f64 y 3)) (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 4)))) (+.f64 (/.f64 (+.f64 x -2) (*.f64 y y)) (/.f64 -1 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 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)) |
| 1.0ms | y | @ | inf | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| 1.0ms | 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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (*.f64 2 (/.f64 1 x))) |
| ✓ | 0.0b | (*.f64 2 (/.f64 y x)) |
Compiled 42 to 28 computations (33.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (*.f64 2 (/.f64 y x)) |
| 2.0ms | x | @ | 0 | (*.f64 2 (/.f64 y x)) |
| 1.0ms | y | @ | inf | (*.f64 2 (/.f64 y x)) |
| 1.0ms | x | @ | inf | (*.f64 2 (/.f64 y x)) |
| 1.0ms | y | @ | -inf | (*.f64 2 (/.f64 y x)) |
| 1× | batch-egg-rewrite |
| 496× | log-prod_binary64 |
| 382× | exp-prod_binary64 |
| 276× | pow-prod-down_binary64 |
| 269× | prod-diff_binary64 |
| 259× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 14 |
| 1 | 216 | 14 |
| 2 | 2764 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 2 (/.f64 y x)) |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 2 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 2 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 2 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 x -3) 8)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 y (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y (/.f64 2 x))))) (sqrt.f64 (log.f64 (*.f64 y (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y (/.f64 2 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (/.f64 2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 y (/.f64 2 x))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 2 x))) (/.f64 (/.f64 4 (*.f64 x x)) (-.f64 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 2 x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 x))) 2) (cbrt.f64 (+.f64 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 2 x))) (sqrt.f64 (+.f64 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x -3) 8 1) (/.f64 1 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 4 (*.f64 x x))) (/.f64 1 (-.f64 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1) 1) (fma.f64 (pow.f64 x -3) 8 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 2 x)) (-.f64 1 (/.f64 4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x -3) 8 1) (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x -3) 8 1) (fma.f64 (pow.f64 x -2) 4 (-.f64 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 4 (*.f64 x x))) (-.f64 1 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x -3) 8 1)) (neg.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (/.f64 4 (*.f64 x x)))) (neg.f64 (-.f64 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x -2) 4 -1) (-.f64 (/.f64 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 2 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) 1) 1) (fma.f64 (pow.f64 x -3) 8 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (/.f64 2 x)) (-.f64 1 (/.f64 4 (*.f64 x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 2 x))) 2)) (cbrt.f64 (log1p.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 2 x)))) (sqrt.f64 (log1p.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 2 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 2 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 x) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 x)) (cbrt.f64 (/.f64 4 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (*.f64 x x))) (cbrt.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x -1/2)) (pow.f64 x -1/2) 1))))) |
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 7 | 6 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 2 x) |
1 |
1 |
| Outputs |
|---|
(/.f64 2 x) |
1 |
1 |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y))))) |
| ✓ | 0.3b | (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y)))) |
Compiled 58 to 28 computations (51.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y)))) |
| 2.0ms | x | @ | inf | (*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y))))) |
| 2.0ms | x | @ | 0 | (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y)))) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y)))) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y)))) |
| 1× | batch-egg-rewrite |
| 815× | prod-diff_binary64 |
| 680× | log-prod_binary64 |
| 351× | fma-def_binary64 |
| 252× | expm1-udef_binary64 |
| 252× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 285 | 31 |
| 2 | 4108 | 31 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y)))) |
(*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (-.f64 2 (+.f64 x y)))))) (sqrt.f64 (/.f64 y (sqrt.f64 (-.f64 2 (+.f64 x y))))) (/.f64 y (sqrt.f64 (-.f64 2 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (pow.f64 (-.f64 2 (+.f64 x y)) 1/4))) (/.f64 (sqrt.f64 y) (pow.f64 (-.f64 2 (+.f64 x y)) 1/4)) (/.f64 y (sqrt.f64 (-.f64 2 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (sqrt.f64 (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (sqrt.f64 (-.f64 2 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (sqrt.f64 (-.f64 2 (+.f64 x y)))) (*.f64 (neg.f64 y) (pow.f64 (-.f64 2 (+.f64 x y)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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| 1× | egg-herbie |
| 740× | associate-*r*_binary64 |
| 722× | associate-*l*_binary64 |
| 469× | times-frac_binary64 |
| 356× | distribute-rgt-in_binary64 |
| 351× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 1628 |
| 1 | 571 | 1561 |
| 2 | 2055 | 1431 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) y)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) y)) (sqrt.f64 (/.f64 1 (-.f64 2 y)))) x) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) y))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (-.f64 2 y)) (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) 2))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) y)) (sqrt.f64 (/.f64 1 (-.f64 2 y)))) x) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) y)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (-.f64 2 y)) (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) 2))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (-.f64 2 y)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) 2)) (-.f64 2 y)))) y))) (*.f64 1/2 (*.f64 (sqrt.f64 (-.f64 2 y)) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) 2))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) y)) (sqrt.f64 (/.f64 1 (-.f64 2 y)))) x) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) y))))) |
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 x))) x) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 x))) x) (*.f64 (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (-.f64 2 x)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))) x))) y)) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) 2)) x) (sqrt.f64 (-.f64 2 x)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 x))) x) (*.f64 (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (-.f64 2 x)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))) x))) y))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) 2)) x) (sqrt.f64 (-.f64 2 x)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 x))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (-.f64 2 x)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))) x))) y) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 4)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) 2)) (-.f64 2 x)))) x) (sqrt.f64 (-.f64 2 x)))) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) 2)) (sqrt.f64 (-.f64 2 x))))))))) |
(*.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 1 (pow.f64 (-.f64 2 y) 2)) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (pow.f64 x 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 (pow.f64 (-.f64 2 y) 2)) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (pow.f64 x 2)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (/.f64 y (pow.f64 (-.f64 2 y) 4))) (pow.f64 x 3))))) |
-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 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.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 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (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 (sqrt.f64 (/.f64 1 (-.f64 2 y))) y)) |
(neg.f64 (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 2 y))))) |
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) (neg.f64 y)) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) y)) (sqrt.f64 (/.f64 1 (-.f64 2 y)))) x) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) y))) |
(fma.f64 (fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) (sqrt.f64 (/.f64 1 (-.f64 2 y)))) x (neg.f64 (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 2 y)))))) |
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) (sqrt.f64 (/.f64 1 (-.f64 2 y)))) x) (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 2 y))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (-.f64 2 y)) (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) 2))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) y)) (sqrt.f64 (/.f64 1 (-.f64 2 y)))) x) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) y)))) |
(fma.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (-.f64 2 y)) (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) 1/2) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) 1/2)) (*.f64 x x) (fma.f64 (fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) (sqrt.f64 (/.f64 1 (-.f64 2 y)))) x (neg.f64 (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 2 y))))))) |
(-.f64 (fma.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) 1/2) 2)) (*.f64 y (sqrt.f64 (-.f64 2 y)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) 1/2)) (*.f64 x x) (*.f64 (fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) (sqrt.f64 (/.f64 1 (-.f64 2 y)))) x)) (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 2 y))))) |
(-.f64 (*.f64 x (+.f64 (fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) (sqrt.f64 (/.f64 1 (-.f64 2 y)))) (*.f64 (fma.f64 -1/2 (*.f64 y (*.f64 (sqrt.f64 (-.f64 2 y)) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (*.f64 -1/2 (/.f64 1/2 (pow.f64 (-.f64 2 y) 3)))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) 1/2)) x))) (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 2 y))))) |
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (-.f64 2 y)) (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) 2))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (-.f64 2 y)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) 2)) (-.f64 2 y)))) y))) (*.f64 1/2 (*.f64 (sqrt.f64 (-.f64 2 y)) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) 2))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) y)) (sqrt.f64 (/.f64 1 (-.f64 2 y)))) x) (*.f64 -1 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) y))))) |
(fma.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (-.f64 2 y)) (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) 1/2) 2)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) 1/2)) (*.f64 x x) (fma.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 (-.f64 2 y)) (*.f64 y (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) 1/2) 2)) (-.f64 2 y)))))) (*.f64 (*.f64 1/2 (sqrt.f64 (-.f64 2 y))) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) 1/2) 2)))) (pow.f64 x 3) (fma.f64 (fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) (sqrt.f64 (/.f64 1 (-.f64 2 y)))) x (neg.f64 (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 2 y)))))))) |
(fma.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) 1/2) 2)) (*.f64 y (sqrt.f64 (-.f64 2 y)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) 1/2)) (*.f64 x x) (fma.f64 (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (*.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) 1/2) 2) (-.f64 2 y))))) (*.f64 y (sqrt.f64 (-.f64 2 y)))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) 1/2) 2)) (*.f64 (sqrt.f64 (-.f64 2 y)) 1/2))) (pow.f64 x 3) (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) (sqrt.f64 (/.f64 1 (-.f64 2 y)))) x) (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 2 y))))))) |
(fma.f64 (fma.f64 -1/2 (*.f64 y (*.f64 (sqrt.f64 (-.f64 2 y)) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (*.f64 -1/2 (/.f64 1/2 (pow.f64 (-.f64 2 y) 3)))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3))) 1/2)) (*.f64 x x) (-.f64 (fma.f64 (*.f64 (sqrt.f64 (-.f64 2 y)) (+.f64 (*.f64 (*.f64 -1/2 y) (+.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (*.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (/.f64 1/2 (/.f64 (-.f64 2 y) (/.f64 1/2 (pow.f64 (-.f64 2 y) 3)))))))) (+.f64 (*.f64 (*.f64 -1/2 (/.f64 1/2 (pow.f64 (-.f64 2 y) 3))) 1/2) (/.f64 1/2 (pow.f64 (-.f64 2 y) 3))))) (pow.f64 x 3) (*.f64 (fma.f64 -1/2 (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)))) (sqrt.f64 (/.f64 1 (-.f64 2 y)))) x)) (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 2 y)))))) |
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 x))) x) |
(*.f64 x (sqrt.f64 (/.f64 1 (-.f64 2 x)))) |
(*.f64 x (sqrt.f64 (/.f64 -1 (+.f64 x -2)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 x))) x) (*.f64 (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (-.f64 2 x)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))) x))) y)) |
(fma.f64 (sqrt.f64 (/.f64 1 (-.f64 2 x))) x (*.f64 y (fma.f64 -1 (sqrt.f64 (/.f64 1 (-.f64 2 x))) (*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))))))) |
(fma.f64 y (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))) (*.f64 x 1/2)) (sqrt.f64 (/.f64 1 (-.f64 2 x)))) (*.f64 x (sqrt.f64 (/.f64 1 (-.f64 2 x))))) |
(fma.f64 y (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))) (*.f64 x 1/2)) (sqrt.f64 (/.f64 -1 (+.f64 x -2)))) (*.f64 x (sqrt.f64 (/.f64 -1 (+.f64 x -2))))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) 2)) x) (sqrt.f64 (-.f64 2 x)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 x))) x) (*.f64 (+.f64 (*.f64 -1 (sqrt.f64 (/.f64 1 (-.f64 2 x)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))) x))) y))) |
(fma.f64 (*.f64 y y) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) 2)) (*.f64 x (sqrt.f64 (-.f64 2 x)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (fma.f64 (sqrt.f64 (/.f64 1 (-.f64 2 x))) x (*.f64 y (fma.f64 -1 (sqrt.f64 (/.f64 1 (-.f64 2 x))) (*.f64 1/2 (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))))))))) |
(fma.f64 (*.f64 y y) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (pow.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) 2)) (*.f64 (*.f64 x (sqrt.f64 (-.f64 2 x))) 1/2))) (fma.f64 y (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))) (*.f64 x 1/2)) (sqrt.f64 (/.f64 1 (-.f64 2 x)))) (*.f64 x (sqrt.f64 (/.f64 1 (-.f64 2 x)))))) |
(fma.f64 (*.f64 y y) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))) (*.f64 x (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (*.f64 -1/2 (/.f64 1/2 (pow.f64 (-.f64 2 x) 3)))) (*.f64 (sqrt.f64 (-.f64 2 x)) 1/2)))) (fma.f64 y (-.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))) (*.f64 x 1/2)) (sqrt.f64 (/.f64 -1 (+.f64 x -2)))) (*.f64 x (sqrt.f64 (/.f64 -1 (+.f64 x -2)))))) |
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(*.f64 -1 (/.f64 y (-.f64 2 y))) |
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(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 x x) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (/.f64 y (pow.f64 (-.f64 2 y) 3)))))) |
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (*.f64 x (*.f64 x (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (/.f64 y (pow.f64 (-.f64 2 y) 3)))))) (/.f64 y (-.f64 2 y))) |
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(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 (fma.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (*.f64 x x) (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (/.f64 y (pow.f64 (-.f64 2 y) 4))))))) |
(-.f64 (fma.f64 x (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (fma.f64 (*.f64 x x) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (/.f64 y (pow.f64 (-.f64 2 y) 3))) (*.f64 (pow.f64 x 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (/.f64 y (pow.f64 (-.f64 2 y) 4)))))) (/.f64 y (-.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 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 3)) (/.f64 y (pow.f64 (-.f64 2 y) 4))) x) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 2)) (/.f64 y (pow.f64 (-.f64 2 y) 3)))))) (/.f64 y (-.f64 2 y))) |
-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)) |
(+.f64 (/.f64 (fma.f64 2 y -2) x) -1) |
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(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))) |
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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)) |
(+.f64 (/.f64 (fma.f64 2 y -2) x) -1) |
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(/.f64 x (-.f64 2 x)) |
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(fma.f64 (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) y (/.f64 x (-.f64 2 x))) |
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(-.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)))))) |
(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))))) |
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(-.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 (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 (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 (+.f64 1 (neg.f64 (/.f64 x y))) (/.f64 (neg.f64 (-.f64 2 x)) y)) |
(+.f64 (-.f64 1 (/.f64 x y)) (/.f64 (-.f64 2 x) y)) |
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(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(+.f64 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) (*.f64 -1 (-.f64 x (-.f64 2 x))))) (-.f64 (+.f64 1 (neg.f64 (/.f64 x y))) (/.f64 (neg.f64 (-.f64 2 x)) y))) |
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(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.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 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 3))))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 (-.f64 2 x) (/.f64 (*.f64 y y) (*.f64 -1 (-.f64 x (-.f64 2 x))))) (fma.f64 -1 (/.f64 x y) (/.f64 (*.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 -1 (-.f64 x (-.f64 2 x)))) (pow.f64 y 3)))) (/.f64 (neg.f64 (-.f64 2 x)) y))) |
(+.f64 (/.f64 (-.f64 2 x) y) (+.f64 (+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (/.f64 (fma.f64 -1 x (-.f64 2 x)) y))) (/.f64 (fma.f64 -1 x (-.f64 2 x)) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))))) |
(+.f64 (-.f64 (*.f64 (/.f64 (-.f64 (-.f64 2 x) x) (*.f64 y y)) (+.f64 (-.f64 2 x) (/.f64 (pow.f64 (-.f64 2 x) 2) y))) (/.f64 x y)) (+.f64 1 (/.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) 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 (-.f64 2 x) y) (/.f64 (fma.f64 2 x -2) y))) |
(+.f64 1 (*.f64 (/.f64 (fma.f64 2 x -2) y) (-.f64 -1 (/.f64 (-.f64 2 x) 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 (*.f64 (pow.f64 (-.f64 2 x) 2) (fma.f64 2 x -2)) (pow.f64 y 3)) (+.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 (-.f64 2 x) y) (/.f64 (fma.f64 2 x -2) y))) (*.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 (/.f64 (pow.f64 (-.f64 2 x) 2) (pow.f64 y 3)) (fma.f64 2 x -2)))) |
Compiled 39000 to 23609 computations (39.5% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 903 | 10 | 913 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 906 | 15 | 921 |
| Status | Error | Program |
|---|---|---|
| ▶ | 42.6b | (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 x))) (/.f64 x (sqrt.f64 (-.f64 2 x)))) |
| 44.7b | (*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) (neg.f64 y))) | |
| ▶ | 38.0b | (+.f64 1 (/.f64 2 y)) |
| ▶ | 31.0b | (*.f64 (/.f64 1 (-.f64 2 x)) x) |
| 39.3b | -1 | |
| ✓ | 0.1b | (fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y))))) |
| ▶ | 39.2b | (-.f64 (*.f64 2 (/.f64 y x)) 1) |
| ✓ | 30.9b | (/.f64 x (-.f64 2 x)) |
| 54.6b | (*.f64 1/2 x) | |
| ▶ | 56.1b | (*.f64 -1/2 y) |
| 38.0b | 1 | |
| 39.3b | (+.f64 -1 (/.f64 (+.f64 (+.f64 y -2) y) x)) | |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| ✓ | 31.3b | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| 37.6b | (*.f64 (/.f64 y (+.f64 y 2)) 1) |
Compiled 229 to 176 computations (23.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (-.f64 2 x)) |
| ✓ | 0.1b | (*.f64 (/.f64 1 (-.f64 2 x)) x) |
Compiled 20 to 15 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 (-.f64 2 x)) x) |
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 2 x)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (-.f64 2 x)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (-.f64 2 x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 (-.f64 2 x)) x) |
| 1× | batch-egg-rewrite |
| 755× | pow1_binary64 |
| 706× | add-log-exp_binary64 |
| 705× | log1p-expm1-u_binary64 |
| 705× | expm1-log1p-u_binary64 |
| 694× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 152 | 14 |
| 2 | 1910 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 (-.f64 2 x)) x) |
(/.f64 1 (-.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 1 (/.f64 (-.f64 2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 2 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (-.f64 2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (-.f64 2 x))) (sqrt.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (cbrt.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (neg.f64 (-.f64 2 x)))))) (#(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 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 cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (-.f64 2 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 2 x)) 3) (pow.f64 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 1 (/.f64 1 (-.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 2 x))) (cbrt.f64 (pow.f64 (-.f64 2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 2 x) -1/2) (pow.f64 (-.f64 2 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 2 x)) -1) (pow.f64 (sqrt.f64 (-.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 8 (pow.f64 x 3))) (+.f64 4 (*.f64 x (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 x x))) (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (-.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (-.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (-.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (-.f64 2 x)))))))) |
| 1× | egg-herbie |
| 798× | fma-def_binary64 |
| 507× | associate-/l*_binary64 |
| 342× | distribute-neg-frac_binary64 |
| 303× | *-commutative_binary64 |
| 300× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 363 |
| 1 | 167 | 335 |
| 2 | 503 | 324 |
| 3 | 1625 | 312 |
| 4 | 4910 | 312 |
| 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))))))) |
1/2 |
(+.f64 1/2 (*.f64 1/4 x)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/4 x))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (*.f64 1/4 x) (*.f64 1/16 (pow.f64 x 3))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.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 (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 (fma.f64 1/8 (pow.f64 x 3) (*.f64 x (*.f64 x 1/4)))) |
(fma.f64 1/8 (pow.f64 x 3) (*.f64 x (fma.f64 x 1/4 1/2))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/8 1/4) 1/2)) |
(+.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 1/16 (pow.f64 x 4) (fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (*.f64 x (*.f64 x 1/4))))) |
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 3) (*.f64 x (fma.f64 x 1/4 1/2)))) |
(fma.f64 x (fma.f64 x 1/4 1/2) (*.f64 (pow.f64 x 3) (fma.f64 x 1/16 1/8))) |
(*.f64 x (fma.f64 x (fma.f64 x 1/8 1/4) (fma.f64 (pow.f64 x 3) 1/16 1/2))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (/.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 -1 (+.f64 (/.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 (/.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))))))) |
(neg.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 4 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))) (/.f64 8 (pow.f64 x 3)))) |
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3)))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 (/.f64 -4 x) x) (/.f64 -8 (pow.f64 x 3))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (/.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 -1 (+.f64 (/.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 (/.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))))))) |
(neg.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 4 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))) (/.f64 8 (pow.f64 x 3)))) |
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3)))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 (/.f64 -4 x) x) (/.f64 -8 (pow.f64 x 3))))) |
1/2 |
(+.f64 1/2 (*.f64 1/4 x)) |
(+.f64 1/2 (*.f64 x 1/4)) |
(fma.f64 x 1/4 1/2) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/4 x))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 1/2 (*.f64 x 1/4))) |
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x 1/4 1/2)) |
(fma.f64 x 1/4 (fma.f64 x (*.f64 x 1/8) 1/2)) |
(fma.f64 x (fma.f64 x 1/8 1/4) 1/2) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (*.f64 1/4 x) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 1/2 (fma.f64 1/4 x (*.f64 (pow.f64 x 3) 1/16)))) |
(+.f64 (fma.f64 (pow.f64 x 3) 1/16 (*.f64 x 1/4)) (fma.f64 (*.f64 x x) 1/8 1/2)) |
(fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) 1/16 (fma.f64 x 1/4 1/2))) |
(fma.f64 x (fma.f64 x 1/8 1/4) (fma.f64 (pow.f64 x 3) 1/16 1/2)) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -1 x)) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 -4 (pow.f64 x 3)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 1 x))) |
(-.f64 (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 1 x) (/.f64 -4 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))) (/.f64 8 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 x))) (/.f64 -8 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 1 x))) (/.f64 -8 (pow.f64 x 4))) |
(+.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 1 x) (/.f64 -4 (pow.f64 x 3)))) (/.f64 -8 (pow.f64 x 4))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))) |
(-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -1 x)) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))) |
(+.f64 (/.f64 -4 (pow.f64 x 3)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 1 x))) |
(-.f64 (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 1 x) (/.f64 -4 (pow.f64 x 3)))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))) (/.f64 8 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 1 x))) (/.f64 -8 (pow.f64 x 4))) |
(+.f64 (+.f64 (/.f64 -2 (*.f64 x x)) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 1 x))) (/.f64 -8 (pow.f64 x 4))) |
(+.f64 (-.f64 (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 1 x) (/.f64 -4 (pow.f64 x 3)))) (/.f64 -8 (pow.f64 x 4))) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (/.f64 2 y)) |
Compiled 13 to 10 computations (23.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (+.f64 1 (/.f64 2 y)) |
| 0.0ms | y | @ | inf | (+.f64 1 (/.f64 2 y)) |
| 0.0ms | y | @ | -inf | (+.f64 1 (/.f64 2 y)) |
| 1× | batch-egg-rewrite |
| 626× | pow1_binary64 |
| 588× | add-log-exp_binary64 |
| 587× | log1p-expm1-u_binary64 |
| 587× | expm1-log1p-u_binary64 |
| 578× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 130 | 7 |
| 2 | 1618 | 7 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (/.f64 2 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (/.f64 2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 2 y))) (/.f64 (/.f64 4 (*.f64 y y)) (-.f64 1 (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 2 y))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 y))) 2) (cbrt.f64 (+.f64 1 (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 2 y))) (sqrt.f64 (+.f64 1 (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 8 (pow.f64 y 3))) (/.f64 1 (+.f64 1 (-.f64 (/.f64 4 (*.f64 y y)) (/.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 4 (*.f64 y y))) (/.f64 1 (-.f64 1 (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (/.f64 4 (*.f64 y y)) (/.f64 2 y))) (+.f64 1 (/.f64 8 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 2 y)) (-.f64 1 (/.f64 4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 8 (pow.f64 y 3))) (+.f64 1 (-.f64 (/.f64 4 (*.f64 y y)) (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (/.f64 8 (pow.f64 y 3))) (+.f64 (/.f64 4 (*.f64 y y)) (-.f64 1 (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (/.f64 4 (*.f64 y y))) (-.f64 1 (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (/.f64 8 (pow.f64 y 3)))) (neg.f64 (+.f64 1 (-.f64 (/.f64 4 (*.f64 y y)) (/.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (/.f64 4 (*.f64 y y)))) (neg.f64 (-.f64 1 (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (*.f64 y y)) 1) (-.f64 (/.f64 2 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2 y)) 2) (cbrt.f64 (/.f64 2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 y)) (sqrt.f64 (/.f64 2 y)) 1))))) |
| 1× | egg-herbie |
| 2× | fma-def_binary64 |
| 1× | +-commutative_binary64 |
| 1× | *-commutative_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 69 |
| 1 | 14 | 69 |
| 2 | 16 | 69 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 2 y) |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
1 |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
1 |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
| Outputs |
|---|
(/.f64 2 y) |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (/.f64 2 y)) |
1 |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (/.f64 2 y)) |
1 |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (/.f64 2 y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (*.f64 2 (/.f64 y x)) 1) |
| 0.0b | (*.f64 2 (/.f64 y x)) |
Compiled 21 to 11 computations (47.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | x | @ | 0 | (-.f64 (*.f64 2 (/.f64 y x)) 1) |
| 0.0ms | y | @ | inf | (-.f64 (*.f64 2 (/.f64 y x)) 1) |
| 0.0ms | y | @ | 0 | (-.f64 (*.f64 2 (/.f64 y x)) 1) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 2 (/.f64 y x)) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 2 (/.f64 y x)) 1) |
| 1× | batch-egg-rewrite |
| 867× | pow1_binary64 |
| 808× | add-log-exp_binary64 |
| 806× | log1p-expm1-u_binary64 |
| 806× | expm1-log1p-u_binary64 |
| 793× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 8 |
| 1 | 174 | 8 |
| 2 | 2225 | 8 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 2 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (/.f64 y x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (/.f64 y x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) -1)) (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) -1)) 2) (cbrt.f64 (fma.f64 2 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (/.f64 y x) -1)) (sqrt.f64 (fma.f64 2 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 2) (fma.f64 2 (/.f64 y x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 2) -1) (/.f64 1 (fma.f64 2 (/.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 2 (/.f64 y x))) 1) (-.f64 (sqrt.f64 (*.f64 2 (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 2) (fma.f64 2 (/.f64 y x) 1)) (+.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 2 (/.f64 y x) 1) (+.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 3) -1) (+.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 2) (fma.f64 2 (/.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 3) -1) (+.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 2) (-.f64 1 (*.f64 (*.f64 2 (/.f64 y x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 2) -1) (fma.f64 2 (/.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 2) -1) (-.f64 (*.f64 2 (/.f64 y x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 2) (fma.f64 2 (/.f64 y x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 2 (/.f64 y x)) 2) -1)) (neg.f64 (fma.f64 2 (/.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (/.f64 y x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (/.f64 y x) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 y x) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 y x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 y x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 y x) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 2 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 (/.f64 y x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 y x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y x) 2 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 y x))) 2) (cbrt.f64 (*.f64 2 (/.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (/.f64 y x))) (sqrt.f64 (*.f64 2 (/.f64 y x))) -1))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 1 | 10 | 24 |
| 2 | 14 | 24 |
| 3 | 18 | 24 |
| 4 | 19 | 24 |
| 1× | saturated |
| Inputs |
|---|
-1 |
(*.f64 2 (/.f64 y x)) |
(*.f64 2 (/.f64 y x)) |
(*.f64 2 (/.f64 y x)) |
-1 |
-1 |
| Outputs |
|---|
-1 |
(*.f64 2 (/.f64 y x)) |
(*.f64 2 (/.f64 y x)) |
(*.f64 2 (/.f64 y x)) |
-1 |
-1 |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (-.f64 2 x)) |
| ✓ | 0.3b | (*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 x))) (/.f64 x (sqrt.f64 (-.f64 2 x)))) |
| ✓ | 0.4b | (/.f64 x (sqrt.f64 (-.f64 2 x))) |
| ✓ | 0.5b | (/.f64 1 (sqrt.f64 (-.f64 2 x))) |
Compiled 37 to 28 computations (24.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 x (sqrt.f64 (-.f64 2 x))) |
| 1.0ms | x | @ | 0 | (/.f64 1 (sqrt.f64 (-.f64 2 x))) |
| 1.0ms | x | @ | inf | (/.f64 1 (sqrt.f64 (-.f64 2 x))) |
| 1.0ms | x | @ | -inf | (/.f64 1 (sqrt.f64 (-.f64 2 x))) |
| 1.0ms | x | @ | inf | (sqrt.f64 (-.f64 2 x)) |
| 1× | batch-egg-rewrite |
| 451× | log-prod_binary64 |
| 383× | prod-exp_binary64 |
| 341× | exp-prod_binary64 |
| 282× | pow-prod-down_binary64 |
| 232× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 31 |
| 1 | 198 | 29 |
| 2 | 2635 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (sqrt.f64 (-.f64 2 x))) |
(/.f64 x (sqrt.f64 (-.f64 2 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 x))) (/.f64 x (sqrt.f64 (-.f64 2 x)))) |
(sqrt.f64 (-.f64 2 x)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 672× | associate-/r*_binary64 |
| 506× | fma-neg_binary64 |
| 443× | associate-*l/_binary64 |
| 371× | *-commutative_binary64 |
| 326× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 547 |
| 1 | 263 | 473 |
| 2 | 820 | 461 |
| 3 | 2781 | 395 |
| 4 | 7325 | 395 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 1/2) |
(+.f64 (sqrt.f64 1/2) (*.f64 1/8 (/.f64 x (sqrt.f64 1/2)))) |
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/8 (/.f64 x (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 x 2)) (sqrt.f64 1/2))))) |
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/16 (*.f64 1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 3)) (sqrt.f64 1/2))) (+.f64 (*.f64 1/8 (/.f64 x (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 x 2)) (sqrt.f64 1/2)))))) |
(*.f64 (sqrt.f64 1/2) x) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) x)) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 x 3)) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) x))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/16 (*.f64 1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 4)) (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 x 3)) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) x)))) |
(*.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))))))) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 -1/2 (/.f64 x (sqrt.f64 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))) |
| Outputs |
|---|
(sqrt.f64 1/2) |
(+.f64 (sqrt.f64 1/2) (*.f64 1/8 (/.f64 x (sqrt.f64 1/2)))) |
(+.f64 (sqrt.f64 1/2) (/.f64 (*.f64 1/8 x) (sqrt.f64 1/2))) |
(fma.f64 1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) |
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/8 (/.f64 x (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 x 2)) (sqrt.f64 1/2))))) |
(+.f64 (sqrt.f64 1/2) (fma.f64 1/8 (/.f64 x (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (*.f64 x x)))))) |
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (*.f64 x x)) (*.f64 1/8 (/.f64 x (sqrt.f64 1/2))))) |
(fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 (/.f64 1/64 (sqrt.f64 1/2)) 1/2))) (fma.f64 1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) |
(+.f64 (sqrt.f64 1/2) (*.f64 x (+.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 3/64 (/.f64 (sqrt.f64 1/2) x))))) |
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/16 (*.f64 1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 3)) (sqrt.f64 1/2))) (+.f64 (*.f64 1/8 (/.f64 x (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 x 2)) (sqrt.f64 1/2)))))) |
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (/.f64 (+.f64 1/16 (*.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (fma.f64 1/8 (/.f64 x (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (*.f64 x x))))))) |
(+.f64 (sqrt.f64 1/2) (+.f64 (fma.f64 1/2 (*.f64 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (*.f64 x x)) (*.f64 1/8 (/.f64 x (sqrt.f64 1/2)))) (/.f64 (*.f64 5/256 (pow.f64 x 3)) (sqrt.f64 1/2)))) |
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 (/.f64 1/64 (sqrt.f64 1/2)) 1/2))) (fma.f64 1/8 (/.f64 x (sqrt.f64 1/2)) (*.f64 (/.f64 5/256 (sqrt.f64 1/2)) (pow.f64 x 3))))) |
(+.f64 (fma.f64 1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) (*.f64 (*.f64 x x) (+.f64 (/.f64 3/64 (sqrt.f64 1/2)) (*.f64 (/.f64 5/256 (sqrt.f64 1/2)) x)))) |
(*.f64 (sqrt.f64 1/2) x) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) x)) |
(fma.f64 1/8 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) x)) |
(fma.f64 (sqrt.f64 1/2) x (*.f64 1/8 (/.f64 (*.f64 x x) (sqrt.f64 1/2)))) |
(*.f64 x (fma.f64 1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 x 3)) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) x))) |
(fma.f64 1/8 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (fma.f64 1/2 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (*.f64 (sqrt.f64 1/2) x))) |
(fma.f64 1/8 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (fma.f64 1/2 (*.f64 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (pow.f64 x 3)) (*.f64 (sqrt.f64 1/2) x))) |
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (fma.f64 1/8 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) x))) |
(+.f64 (*.f64 x (fma.f64 1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (/.f64 (*.f64 (pow.f64 x 3) 3/64) (sqrt.f64 1/2))) |
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/16 (*.f64 1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 x 4)) (sqrt.f64 1/2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 x 3)) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) x)))) |
(fma.f64 1/8 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (fma.f64 1/2 (/.f64 (+.f64 1/16 (*.f64 -1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2)))) (/.f64 (sqrt.f64 1/2) (pow.f64 x 4))) (fma.f64 1/2 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (/.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (*.f64 (sqrt.f64 1/2) x)))) |
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (sqrt.f64 1/2)) (pow.f64 x 3)) (*.f64 (sqrt.f64 1/2) x)) (fma.f64 1/8 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (/.f64 (*.f64 5/256 (pow.f64 x 4)) (sqrt.f64 1/2)))) |
(fma.f64 1/2 (fma.f64 (/.f64 5/128 (sqrt.f64 1/2)) (pow.f64 x 4) (*.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 1/2)) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)))) (fma.f64 1/8 (/.f64 (*.f64 x x) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) x))) |
(+.f64 (*.f64 x (fma.f64 1/8 (/.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2))) (*.f64 (/.f64 1/2 (sqrt.f64 1/2)) (+.f64 (*.f64 3/32 (pow.f64 x 3)) (*.f64 5/128 (pow.f64 x 4))))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/4 (pow.f64 x 2))) |
(fma.f64 1/2 x (*.f64 (*.f64 x x) 1/4)) |
(*.f64 x (+.f64 1/2 (*.f64 x 1/4))) |
(+.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 (fma.f64 1/8 (pow.f64 x 3) (*.f64 (*.f64 x x) 1/4))) |
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 1/8 x)))) |
(*.f64 x (+.f64 1/2 (*.f64 x (+.f64 1/4 (*.f64 1/8 x))))) |
(+.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 1/16 (pow.f64 x 4) (fma.f64 1/2 x (fma.f64 1/8 (pow.f64 x 3) (*.f64 (*.f64 x x) 1/4)))) |
(fma.f64 1/16 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 1/4 (*.f64 1/8 x))))) |
(fma.f64 1/2 x (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 1/8 (*.f64 x 1/16))) 1/4))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.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 -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))))))) |
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))) (/.f64 8 (pow.f64 x 3))))) |
(-.f64 -1 (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))) |
(+.f64 -1 (-.f64 (+.f64 (/.f64 -2 x) (/.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))))) |
-1 |
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 -1 (neg.f64 (/.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 -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))))))) |
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))) (/.f64 8 (pow.f64 x 3))))) |
(-.f64 -1 (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))) |
(+.f64 -1 (-.f64 (+.f64 (/.f64 -2 x) (/.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))))) |
(sqrt.f64 2) |
(+.f64 (sqrt.f64 2) (*.f64 -1/2 (/.f64 x (sqrt.f64 2)))) |
(fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))))) |
(+.f64 (sqrt.f64 2) (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (/.f64 (*.f64 -1/8 (*.f64 x x)) (pow.f64 (sqrt.f64 2) 3)))) |
(+.f64 (sqrt.f64 2) (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2))))) |
(fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)) (sqrt.f64 2))) |
(+.f64 (sqrt.f64 2) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 -1/2 (/.f64 (*.f64 x -1/8) 2)))) |
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)))))) |
(+.f64 (sqrt.f64 2) (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (/.f64 (*.f64 -1/8 (*.f64 x x)) (pow.f64 (sqrt.f64 2) 3))))) |
(+.f64 (sqrt.f64 2) (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 -1/16 (/.f64 (*.f64 x x) (sqrt.f64 2)))))) |
(+.f64 (fma.f64 -1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 -1/16 (+.f64 (/.f64 (*.f64 x x) (sqrt.f64 2)) (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))))) |
(+.f64 (sqrt.f64 2) (fma.f64 -1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 (/.f64 x (sqrt.f64 2)) (+.f64 -1/2 (/.f64 (*.f64 x -1/8) 2))))) |
Compiled 7795 to 6115 computations (21.6% saved)
15 alts after pruning (7 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 522 | 1 | 523 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 8 | 8 |
| Total | 523 | 15 | 538 |
| Status | Error | Program |
|---|---|---|
| ▶ | 39.3b | (+.f64 -1 (/.f64 (+.f64 (+.f64 y -2) y) x)) |
| ▶ | 53.7b | (*.f64 (-.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 1) x) |
| ✓ | 38.0b | (+.f64 1 (/.f64 2 y)) |
| ✓ | 31.0b | (*.f64 (/.f64 1 (-.f64 2 x)) x) |
| 39.3b | -1 | |
| ✓ | 0.1b | (fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y))))) |
| ✓ | 39.2b | (-.f64 (*.f64 2 (/.f64 y x)) 1) |
| ✓ | 30.9b | (/.f64 x (-.f64 2 x)) |
| ▶ | 54.6b | (*.f64 1/2 x) |
| ✓ | 56.1b | (*.f64 -1/2 y) |
| ▶ | 44.7b | (*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) (neg.f64 y))) |
| 38.0b | 1 | |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| ✓ | 31.3b | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| ▶ | 37.6b | (*.f64 (/.f64 y (+.f64 y 2)) 1) |
Compiled 195 to 150 computations (23.1% 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))) |
Compiled 7 to 5 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 (+.f64 y -2) y) x) |
| ✓ | 0.0b | (+.f64 (+.f64 y -2) y) |
Compiled 30 to 19 computations (36.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (+.f64 (+.f64 y -2) y) x) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 (+.f64 y -2) y) x) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 (+.f64 y -2) y) x) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 (+.f64 y -2) y) x) |
| 0.0ms | y | @ | inf | (/.f64 (+.f64 (+.f64 y -2) y) x) |
| 1× | batch-egg-rewrite |
| 590× | prod-diff_binary64 |
| 533× | unpow-prod-down_binary64 |
| 394× | log-prod_binary64 |
| 250× | fma-def_binary64 |
| 246× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 166 | 17 |
| 2 | 2434 | 17 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 y -2) y) |
(/.f64 (+.f64 (+.f64 y -2) y) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (+.f64 y -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 y -2) 2) (+.f64 y (-.f64 -2 y))) (/.f64 (*.f64 y y) (+.f64 y (-.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 (sqrt.f64 (+.f64 y (+.f64 y -2))) (sqrt.f64 (+.f64 y (+.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 y -2) 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (-.f64 y (+.f64 y -2)) (pow.f64 (+.f64 y -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 y -2) 3) (pow.f64 y 3)) (pow.f64 (/.f64 1 (fma.f64 y (-.f64 y (+.f64 y -2)) (pow.f64 (+.f64 y -2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 y -2) 2) (*.f64 y y)) (/.f64 1 (+.f64 y (-.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 y -2) 2) (*.f64 y y)) (pow.f64 (/.f64 1 (+.f64 y (-.f64 -2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 y (+.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y (+.f64 y -2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y (+.f64 y -2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 y (+.f64 y -2)) (cbrt.f64 (+.f64 y (+.f64 y -2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 y (+.f64 y -2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 y (+.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (+.f64 y -2)))) 2) 3) (cbrt.f64 (+.f64 y (+.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y (+.f64 y -2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y (+.f64 y -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y (-.f64 y (+.f64 y -2)) (pow.f64 (+.f64 y -2) 2)) (+.f64 (pow.f64 (+.f64 y -2) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (-.f64 -2 y)) (-.f64 (pow.f64 (+.f64 y -2) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 y -2) 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y (+.f64 y -2)) (pow.f64 (+.f64 y -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 y -2) 3) (pow.f64 y 3)) (fma.f64 y y (-.f64 (pow.f64 (+.f64 y -2) 2) (*.f64 y (+.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y -2) 2) (*.f64 y y)) (+.f64 y (-.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y -2) 3) (pow.f64 y 3))) (neg.f64 (fma.f64 y (-.f64 y (+.f64 y -2)) (pow.f64 (+.f64 y -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y -2) 2) (*.f64 y y))) (neg.f64 (+.f64 y (-.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 y -2) 2)) (-.f64 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)) 2) 1/2)))) (#(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 (fma.f64 y (-.f64 y (+.f64 y -2)) (pow.f64 (+.f64 y -2) 2)) (+.f64 (pow.f64 (+.f64 y -2) 3) (pow.f64 y 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y (-.f64 -2 y)) (-.f64 (pow.f64 (+.f64 y -2) 2) (*.f64 y y))) -1)))) (#(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 log.f64 (+.f64 1 (expm1.f64 (+.f64 y (+.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (+.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (+.f64 1 (expm1.f64 (+.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (+.f64 1 (expm1.f64 (+.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 y -2))) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 y -2)) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 y -2))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (+.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))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 y (+.f64 y -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 y (+.f64 y -2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 y (+.f64 y -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y (+.f64 y -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (+.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 y -2) 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (+.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y -2) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (+.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (+.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 y -2)) (pow.f64 (cbrt.f64 (+.f64 y -2)) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y -2)) 2) (cbrt.f64 (+.f64 y -2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (+.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y -2)) (sqrt.f64 (+.f64 y -2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -8 (pow.f64 y 3)) (/.f64 1 (-.f64 (fma.f64 y y 4) (*.f64 y -2))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y y -4) (/.f64 1 (+.f64 y 2)) y))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 y (+.f64 y -2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 y (+.f64 y -2)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 y (+.f64 y -2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y (+.f64 y -2)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 y (+.f64 y -2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 y (+.f64 y -2)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (+.f64 y -2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y (+.f64 y -2)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 y (+.f64 y -2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (+.f64 y -2))) 2) (*.f64 (cbrt.f64 (+.f64 y (+.f64 y -2))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (+.f64 y (+.f64 y -2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y (+.f64 y -2))) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 y (+.f64 y -2))) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y (+.f64 y -2))) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y (+.f64 y -2))) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) 1) (pow.f64 (/.f64 (+.f64 y (+.f64 y -2)) (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 y (+.f64 y -2))) 2) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 (/.f64 (+.f64 y (+.f64 y -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 y (+.f64 y -2))) (pow.f64 (cbrt.f64 x) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 y (+.f64 y -2))) (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (+.f64 y (+.f64 y -2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 y (+.f64 y -2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 y (+.f64 y -2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 y (+.f64 y -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 y (+.f64 y -2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 y (+.f64 y -2)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 y (+.f64 y -2)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 y (+.f64 y -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 y (+.f64 y -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 y (+.f64 y -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y (+.f64 y -2)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 y (+.f64 y -2)) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 y (+.f64 y -2)) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 y (+.f64 y -2)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 y (+.f64 y -2)))) -1)))))) |
| 1× | egg-herbie |
| 508× | fma-def_binary64 |
| 286× | fma-neg_binary64 |
| 126× | cancel-sign-sub-inv_binary64 |
| 74× | distribute-rgt-in_binary64 |
| 67× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 240 |
| 1 | 34 | 240 |
| 2 | 56 | 240 |
| 3 | 76 | 240 |
| 4 | 117 | 240 |
| 5 | 229 | 240 |
| 6 | 483 | 240 |
| 7 | 835 | 240 |
| 8 | 1324 | 240 |
| 9 | 1695 | 240 |
| 10 | 2058 | 240 |
| 1× | saturated |
| Inputs |
|---|
-2 |
(-.f64 (*.f64 2 y) 2) |
(-.f64 (*.f64 2 y) 2) |
(-.f64 (*.f64 2 y) 2) |
(*.f64 2 y) |
(-.f64 (*.f64 2 y) 2) |
(-.f64 (*.f64 2 y) 2) |
(-.f64 (*.f64 2 y) 2) |
(*.f64 2 y) |
(-.f64 (*.f64 2 y) 2) |
(-.f64 (*.f64 2 y) 2) |
(-.f64 (*.f64 2 y) 2) |
(/.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 |
|---|
-2 |
(-.f64 (*.f64 2 y) 2) |
(fma.f64 2 y -2) |
(-.f64 (*.f64 2 y) 2) |
(fma.f64 2 y -2) |
(-.f64 (*.f64 2 y) 2) |
(fma.f64 2 y -2) |
(*.f64 2 y) |
(-.f64 (*.f64 2 y) 2) |
(fma.f64 2 y -2) |
(-.f64 (*.f64 2 y) 2) |
(fma.f64 2 y -2) |
(-.f64 (*.f64 2 y) 2) |
(fma.f64 2 y -2) |
(*.f64 2 y) |
(-.f64 (*.f64 2 y) 2) |
(fma.f64 2 y -2) |
(-.f64 (*.f64 2 y) 2) |
(fma.f64 2 y -2) |
(-.f64 (*.f64 2 y) 2) |
(fma.f64 2 y -2) |
(/.f64 -2 x) |
(-.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(/.f64 (fma.f64 2 y -2) x) |
(-.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(/.f64 (fma.f64 2 y -2) x) |
(-.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(/.f64 (fma.f64 2 y -2) x) |
(*.f64 2 (/.f64 y x)) |
(*.f64 y (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(/.f64 (fma.f64 2 y -2) x) |
(-.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(/.f64 (fma.f64 2 y -2) x) |
(-.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(/.f64 (fma.f64 2 y -2) x) |
(*.f64 2 (/.f64 y x)) |
(*.f64 y (/.f64 2 x)) |
(-.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(/.f64 (fma.f64 2 y -2) x) |
(-.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 1 x))) |
(/.f64 (fma.f64 2 y -2) x) |
(-.f64 (*.f64 2 (/.f64 y x)) (*.f64 2 (/.f64 1 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) |
(/.f64 (-.f64 (*.f64 2 y) 2) x) |
(/.f64 (fma.f64 2 y -2) x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (/.f64 1 (-.f64 2 x))) |
| 0.0b | (/.f64 1 (-.f64 2 x)) | |
| ✓ | 0.0b | (*.f64 (-.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 1) x) |
| ✓ | 3.3b | (-.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 1) |
Compiled 40 to 33 computations (17.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 1) |
| 0.0ms | x | @ | inf | (+.f64 1 (/.f64 1 (-.f64 2 x))) |
| 0.0ms | x | @ | inf | (-.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 1) |
| 0.0ms | x | @ | 0 | (+.f64 1 (/.f64 1 (-.f64 2 x))) |
| 1× | batch-egg-rewrite |
| 406× | log-prod_binary64 |
| 339× | fma-def_binary64 |
| 316× | prod-diff_binary64 |
| 312× | exp-prod_binary64 |
| 265× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 39 |
| 1 | 211 | 27 |
| 2 | 3032 | 27 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 1) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 1) x) |
(+.f64 1 (/.f64 1 (-.f64 2 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (-.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (-.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (-.f64 2 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 2 x))) (cbrt.f64 (pow.f64 (-.f64 2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 2 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 2 x) -1/2) (pow.f64 (-.f64 2 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1 (-.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 2) (+.f64 (/.f64 1 (-.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 x))))) (/.f64 1 (+.f64 (/.f64 1 (-.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 2 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 2 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (-.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 2) (+.f64 (/.f64 1 (-.f64 2 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1 (-.f64 2 x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 1 (-.f64 2 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 2 x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 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0))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (+.f64 (/.f64 1 (-.f64 2 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 1 (/.f64 1 (-.f64 2 x)))) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (-.f64 2 x))) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (-.f64 2 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1 (-.f64 2 x))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 1 (-.f64 2 x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 1 (-.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) 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(+.f64 (/.f64 1 (-.f64 2 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (+.f64 (/.f64 1 (-.f64 2 x)) -1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (-.f64 2 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 1 (-.f64 2 x)))) (/.f64 (pow.f64 (-.f64 2 x) -2) (-.f64 1 (/.f64 1 (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (-.f64 2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (-.f64 2 x) -1/2)) (hypot.f64 1 (pow.f64 (-.f64 2 x) -1/2)))))) 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(/.f64 1 (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 1 (-.f64 2 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (/.f64 1 (-.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 1 (-.f64 2 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 1 (-.f64 2 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 1 (-.f64 2 x)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 2 x)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (-.f64 2 x))) (cbrt.f64 (pow.f64 (-.f64 2 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 2 x) -2)) (/.f64 1 (cbrt.f64 (-.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 2 x) -1/2) (pow.f64 (-.f64 2 x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 (-.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1 (-.f64 2 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 2) (+.f64 (/.f64 1 (-.f64 2 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (-.f64 2 x))))) (/.f64 1 (+.f64 (/.f64 1 (-.f64 2 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1 (-.f64 2 x)) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 x)) 2)) 2) (cbrt.f64 (+.f64 (/.f64 1 (-.f64 2 x)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1 (-.f64 2 x)) 2)) (sqrt.f64 (+.f64 (/.f64 1 (-.f64 2 x)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 x)) -2) (/.f64 1 (cbrt.f64 (-.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (-.f64 2 x) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (-.f64 2 x) -1/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 8 (pow.f64 x 3))) (fma.f64 x (+.f64 2 x) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 4 (*.f64 x x))) (+.f64 2 x) 1))))) |
| 1× | egg-herbie |
| 511× | associate-/l*_binary64 |
| 396× | sub-neg_binary64 |
| 336× | distribute-neg-frac_binary64 |
| 314× | *-commutative_binary64 |
| 290× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 504 |
| 1 | 190 | 472 |
| 2 | 574 | 459 |
| 3 | 1821 | 459 |
| 4 | 4712 | 459 |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/4 x)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/4 x))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (*.f64 1/4 x) (*.f64 1/16 (pow.f64 x 3))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(*.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))))))) |
3/2 |
(+.f64 3/2 (*.f64 1/4 x)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 3/2 (*.f64 1/4 x))) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 3/2 (+.f64 (*.f64 1/4 x) (*.f64 1/16 (pow.f64 x 3))))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
| Outputs |
|---|
1/2 |
(+.f64 1/2 (*.f64 1/4 x)) |
(fma.f64 1/4 x 1/2) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 1/4 x))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 1/2 (*.f64 1/4 x))) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/4 x 1/2)) |
(fma.f64 1/4 x (fma.f64 x (*.f64 x 1/8) 1/2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (+.f64 (*.f64 1/4 x) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 1/2 (fma.f64 1/4 x (*.f64 1/16 (pow.f64 x 3))))) |
(+.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 1/4 x 1/2)) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/4 x (fma.f64 1/16 (pow.f64 x 3) 1/2))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))) |
(-.f64 (/.f64 -1 x) (/.f64 (/.f64 2 x) x)) |
(-.f64 (/.f64 -1 x) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 -1 x) (/.f64 (/.f64 -2 x) x)) |
(*.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -2 x))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x)))) |
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 (/.f64 2 x) x)) (/.f64 -4 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x))) |
(+.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -2 x))) (/.f64 -4 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))) (/.f64 8 (pow.f64 x 4)))) |
(-.f64 (/.f64 -8 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 1 x)))) |
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) (/.f64 -8 (pow.f64 x 4))) |
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -8 (pow.f64 x 4)) (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))) |
(+.f64 (+.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -2 x))) (/.f64 -4 (pow.f64 x 3))) (/.f64 -8 (pow.f64 x 4))) |
(/.f64 -1 x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))) |
(neg.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))) |
(-.f64 (/.f64 -1 x) (/.f64 (/.f64 2 x) x)) |
(-.f64 (/.f64 -1 x) (/.f64 2 (*.f64 x x))) |
(+.f64 (/.f64 -1 x) (/.f64 (/.f64 -2 x) x)) |
(*.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -2 x))) |
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x)))) |
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 (/.f64 2 x) x)) (/.f64 -4 (pow.f64 x 3))) |
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x))) |
(+.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -2 x))) (/.f64 -4 (pow.f64 x 3))) |
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))) (/.f64 8 (pow.f64 x 4)))) |
(-.f64 (/.f64 -8 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 1 x)))) |
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))) (/.f64 -8 (pow.f64 x 4))) |
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -8 (pow.f64 x 4)) (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))) |
(+.f64 (+.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -2 x))) (/.f64 -4 (pow.f64 x 3))) (/.f64 -8 (pow.f64 x 4))) |
(*.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 (fma.f64 1/4 x 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 1/8 (pow.f64 x 3) (*.f64 x (fma.f64 1/4 x 1/2))) |
(*.f64 x (fma.f64 1/4 x (fma.f64 x (*.f64 x 1/8) 1/2))) |
(+.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 1/16 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 3) (*.f64 x (fma.f64 1/4 x 1/2)))) |
(fma.f64 1/16 (pow.f64 x 4) (*.f64 x (fma.f64 1/4 x (fma.f64 x (*.f64 x 1/8) 1/2)))) |
(*.f64 x (fma.f64 x (*.f64 x 1/8) (fma.f64 1/4 x (fma.f64 1/16 (pow.f64 x 3) 1/2)))) |
-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)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 4 x) x))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x)))) |
(+.f64 (+.f64 -1 (/.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 1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))) (/.f64 8 (pow.f64 x 3))))) |
(-.f64 -1 (+.f64 (/.f64 (/.f64 4 x) x) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))) |
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (+.f64 1 (/.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)))) |
(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)))))) |
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))))) |
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 4 x) x))) |
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x)))) |
(+.f64 (+.f64 -1 (/.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 1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 4 (*.f64 x x))) (/.f64 8 (pow.f64 x 3))))) |
(-.f64 -1 (+.f64 (/.f64 (/.f64 4 x) x) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))) |
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (+.f64 1 (/.f64 4 (*.f64 x x))))) |
(+.f64 -1 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3))))) |
3/2 |
(+.f64 3/2 (*.f64 1/4 x)) |
(+.f64 (*.f64 1/4 x) 3/2) |
(fma.f64 1/4 x 3/2) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 3/2 (*.f64 1/4 x))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (*.f64 1/4 x) 3/2)) |
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/4 x 3/2)) |
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/4 x 3/2)) |
(fma.f64 1/4 x (fma.f64 x (*.f64 x 1/8) 3/2)) |
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 3/2 (+.f64 (*.f64 1/4 x) (*.f64 1/16 (pow.f64 x 3))))) |
(fma.f64 1/8 (*.f64 x x) (+.f64 (fma.f64 1/4 x (*.f64 1/16 (pow.f64 x 3))) 3/2)) |
(+.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 1/4 x 3/2)) (*.f64 1/16 (pow.f64 x 3))) |
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/4 x (fma.f64 1/16 (pow.f64 x 3) 3/2))) |
(+.f64 3/2 (*.f64 x (+.f64 (*.f64 x (+.f64 1/8 (*.f64 x 1/16))) 1/4))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (-.f64 (/.f64 -1 x) (/.f64 (/.f64 2 x) x))) |
(+.f64 (/.f64 -1 x) (-.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (/.f64 -2 x) x)) |
(+.f64 1 (*.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -2 x)))) |
(-.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 1 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x)))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 x) (/.f64 (/.f64 2 x) x)) (/.f64 -4 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))) |
(+.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x))) |
(+.f64 1 (+.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -2 x))) (/.f64 -4 (pow.f64 x 3)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (-.f64 (/.f64 -1 x) (/.f64 (/.f64 2 x) x))) |
(+.f64 (/.f64 -1 x) (-.f64 1 (/.f64 2 (*.f64 x x)))) |
(+.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 (/.f64 -2 x) x)) |
(+.f64 1 (*.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -2 x)))) |
(-.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(-.f64 1 (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 1 x)))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 x) (/.f64 (/.f64 2 x) x)) (/.f64 -4 (pow.f64 x 3)))) |
(+.f64 1 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 2 (*.f64 x x))))) |
(+.f64 (+.f64 1 (/.f64 -1 x)) (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x))) |
(+.f64 1 (+.f64 (*.f64 (/.f64 1 x) (+.f64 -1 (/.f64 -2 x))) (/.f64 -4 (pow.f64 x 3)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (-.f64 2 y)) |
| ✓ | 0.0b | (sqrt.f64 (/.f64 1 (-.f64 2 y))) |
| ✓ | 0.2b | (*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) (neg.f64 y))) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) (neg.f64 y)) |
Compiled 64 to 41 computations (35.9% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 52.0ms | y | @ | 0 | (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) (neg.f64 y)) |
| 9.0ms | y | @ | -inf | (sqrt.f64 (/.f64 1 (-.f64 2 y))) |
| 5.0ms | y | @ | 0 | (*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) (neg.f64 y))) |
| 2.0ms | y | @ | inf | (*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) (neg.f64 y))) |
| 2.0ms | x | @ | inf | (*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) (neg.f64 y))) |
| 1× | batch-egg-rewrite |
| 830× | prod-diff_binary64 |
| 311× | fma-def_binary64 |
| 270× | expm1-udef_binary64 |
| 270× | log1p-udef_binary64 |
| 223× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 56 |
| 1 | 342 | 44 |
| 2 | 4684 | 44 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) (neg.f64 y)) |
(*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) (neg.f64 y))) |
(sqrt.f64 (/.f64 1 (-.f64 2 y))) |
(/.f64 1 (-.f64 2 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (sqrt.f64 (+.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (sqrt.f64 (+.f64 2 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (sqrt.f64 (+.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (sqrt.f64 (+.f64 2 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (sqrt.f64 (+.f64 2 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (sqrt.f64 (+.f64 2 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (+.f64 2 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (sqrt.f64 (+.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (+.f64 2 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (sqrt.f64 (+.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sqrt.f64 (+.f64 2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 y (sqrt.f64 (+.f64 2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (sqrt.f64 (+.f64 2 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 -1 (+.f64 -2 y)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 (+.f64 -2 y)) 3/2) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (sqrt.f64 (+.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (sqrt.f64 (+.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (sqrt.f64 (+.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (sqrt.f64 (+.f64 2 y)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (pow.f64 (+.f64 2 (-.f64 y x)) -1/2) (sqrt.f64 (+.f64 2 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 (pow.f64 (+.f64 2 (-.f64 y x)) -1/2) (sqrt.f64 (+.f64 2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 (pow.f64 (+.f64 2 (-.f64 y x)) -1/2) (sqrt.f64 (+.f64 2 y)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 (pow.f64 (+.f64 2 (-.f64 y x)) -1/2) (sqrt.f64 (+.f64 2 y))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 y (sqrt.f64 (+.f64 2 y)))) (pow.f64 (+.f64 2 (-.f64 y x)) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (/.f64 (pow.f64 (+.f64 2 (-.f64 y x)) -1/2) (sqrt.f64 (+.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 y (sqrt.f64 (+.f64 2 y))) 2) (pow.f64 (+.f64 2 (-.f64 y x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 y (sqrt.f64 (+.f64 2 y)))) (pow.f64 (+.f64 2 (-.f64 y x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (pow.f64 (+.f64 2 (-.f64 y x)) -1/2) (sqrt.f64 (+.f64 2 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (pow.f64 (exp.f64 (/.f64 y (sqrt.f64 (+.f64 2 y)))) (pow.f64 (+.f64 2 (-.f64 y x)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (pow.f64 (+.f64 2 (-.f64 y x)) -1/2) (sqrt.f64 (+.f64 2 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 (pow.f64 (+.f64 2 (-.f64 y x)) -1/2) (sqrt.f64 (+.f64 2 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y (sqrt.f64 (+.f64 2 y))) 3) (pow.f64 (pow.f64 (+.f64 2 (-.f64 y x)) -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 2 (-.f64 y x)) -1/2) 3) (pow.f64 (/.f64 y (sqrt.f64 (+.f64 2 y))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 (pow.f64 (+.f64 2 (-.f64 y x)) -1/2) (sqrt.f64 (+.f64 2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 (pow.f64 (+.f64 2 (-.f64 y x)) -1/2) (sqrt.f64 (+.f64 2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 (pow.f64 (+.f64 2 (-.f64 y x)) -1/2) (sqrt.f64 (+.f64 2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 (pow.f64 (+.f64 2 (-.f64 y x)) -1/2) (sqrt.f64 (+.f64 2 y))))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 2 y) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 2 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 y) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 2 y))) (cbrt.f64 (pow.f64 (+.f64 2 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 y) -1/2)) (/.f64 1 (cbrt.f64 (+.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 2 y) -1/2)) (sqrt.f64 (pow.f64 (+.f64 2 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 2 y) -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 (+.f64 2 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 y) -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (+.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (+.f64 2 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 (+.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 y) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 -2 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 y) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 -2 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 y) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (+.f64 2 y) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (+.f64 2 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 2 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 2 y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -2 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 2 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 2 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (+.f64 2 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 2 y) -1/2)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 -2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 y) -1/2) (pow.f64 (+.f64 2 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 2 y))) (cbrt.f64 (pow.f64 (+.f64 2 y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 2 y))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 2 y) -1/2)) (pow.f64 (+.f64 2 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 y) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (+.f64 2 y) -1/2)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 2 y) -1/2)) (pow.f64 (+.f64 2 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 2 y) -1/2) (sqrt.f64 (pow.f64 (+.f64 2 y) -1/2))) (sqrt.f64 (pow.f64 (+.f64 2 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 2 y) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 2 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 y 3))) (fma.f64 y (+.f64 2 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 4 (*.f64 y y))) (+.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 2 y) -1/2) (/.f64 1 (cbrt.f64 (+.f64 2 y)))) (cbrt.f64 (pow.f64 (+.f64 2 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 -2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 y) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 -2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 -2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 -2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 y))) 1)))))) |
| 1× | egg-herbie |
| 921× | distribute-rgt-in_binary64 |
| 894× | distribute-lft-in_binary64 |
| 532× | times-frac_binary64 |
| 413× | associate-/l*_binary64 |
| 198× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 1752 |
| 1 | 715 | 1622 |
| 2 | 2710 | 1583 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 1/2) y)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 1/2) y)) (*.f64 -1/8 (/.f64 (pow.f64 y 2) (sqrt.f64 1/2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 1/2) y)) (*.f64 -1/8 (/.f64 (pow.f64 y 2) (sqrt.f64 1/2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 1/2) y)) (*.f64 -1/8 (/.f64 (pow.f64 y 2) (sqrt.f64 1/2)))))) |
(*.f64 -1 (/.f64 y (-.f64 2 y))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 -1/2 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2)))) |
(+.f64 (*.f64 -1/2 (*.f64 (-.f64 2 y) (*.f64 y (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (pow.f64 (/.f64 1/2 (pow.f64 (-.f64 2 y) 2)) 2)) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 -1/2 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2))))) |
(+.f64 (*.f64 -1/2 (*.f64 (-.f64 2 y) (*.f64 y (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (pow.f64 (/.f64 1/2 (pow.f64 (-.f64 2 y) 2)) 2)) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2))) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 5)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (pow.f64 (/.f64 1/2 (pow.f64 (-.f64 2 y) 2)) 2)) (-.f64 2 y)))) (*.f64 (-.f64 2 y) (*.f64 y (pow.f64 x 3)))))))) |
(*.f64 -1 (*.f64 (*.f64 (sqrt.f64 1/2) y) (sqrt.f64 (/.f64 1 (-.f64 2 x))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 1/2) y) (sqrt.f64 (/.f64 1 (-.f64 2 x))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (-.f64 2 x)) 2)) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 1/2) y) (sqrt.f64 (/.f64 1 (-.f64 2 x))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) 2) (pow.f64 (-.f64 2 x) 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) 2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 2 x)))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (-.f64 2 x)) 2)) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 1/2) y) (sqrt.f64 (/.f64 1 (-.f64 2 x))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) (pow.f64 (-.f64 2 x) 3))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) 2) (pow.f64 (-.f64 2 x) 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) 2))) (-.f64 (*.f64 -1 (-.f64 2 x)) 2)) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 2 x)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) 2) (pow.f64 (-.f64 2 x) 3)))) (-.f64 (*.f64 -1 (-.f64 2 x)) 2)) (-.f64 2 x))))) (pow.f64 y 4)) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 2 x)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) 2) (pow.f64 (-.f64 2 x) 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) 2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 2 x)))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (-.f64 2 x)) 2)) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))))))) |
-1 |
(-.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (*.f64 -1 (-.f64 2 x))) y)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (*.f64 -1 (-.f64 2 x))) y)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (-.f64 2 x)) (+.f64 (pow.f64 (*.f64 1/2 (-.f64 2 (*.f64 -1 (-.f64 2 x)))) 2) (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) (-.f64 2 (*.f64 -1 (-.f64 2 x)))))) (pow.f64 y 2)))) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (*.f64 -1 (-.f64 2 x))) y)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (-.f64 2 x)) (+.f64 (pow.f64 (*.f64 1/2 (-.f64 2 (*.f64 -1 (-.f64 2 x)))) 2) (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) (-.f64 2 (*.f64 -1 (-.f64 2 x)))))) (pow.f64 y 2))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 (-.f64 2 (*.f64 -1 (-.f64 2 x))) (-.f64 (*.f64 -1 (-.f64 2 x)) 2)) (+.f64 (*.f64 2 (-.f64 2 x)) (pow.f64 (*.f64 1/2 (-.f64 2 (*.f64 -1 (-.f64 2 x)))) 2))) (-.f64 2 (*.f64 -1 (-.f64 2 x))))) (+.f64 (*.f64 2 (*.f64 (-.f64 2 x) (-.f64 2 (*.f64 -1 (-.f64 2 x))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 2 (*.f64 -1 (-.f64 2 x))) (-.f64 (*.f64 -1 (-.f64 2 x)) 2)) (*.f64 2 (-.f64 2 x))) (-.f64 (*.f64 -1 (-.f64 2 x)) 2))))) (pow.f64 y 3))))) 1) |
1 |
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 x 4) y)) 1) |
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 x 4) y)) (+.f64 1 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (-.f64 4 x) (-.f64 x 4)) (+.f64 (*.f64 2 (-.f64 2 x)) (pow.f64 (*.f64 1/2 (-.f64 x 4)) 2))) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 x 4) y)) (+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 (-.f64 4 x) (-.f64 x 4)) (+.f64 (*.f64 2 (-.f64 2 x)) (pow.f64 (*.f64 1/2 (-.f64 x 4)) 2))) (pow.f64 y 2))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 x 4) (+.f64 (*.f64 (-.f64 4 x) (-.f64 x 4)) (+.f64 (*.f64 2 (-.f64 2 x)) (pow.f64 (*.f64 1/2 (-.f64 x 4)) 2))))) (+.f64 (*.f64 -1 (*.f64 (-.f64 4 x) (+.f64 (*.f64 (-.f64 4 x) (-.f64 x 4)) (*.f64 2 (-.f64 2 x))))) (*.f64 2 (*.f64 (-.f64 x 4) (-.f64 2 x))))) (pow.f64 y 3)))))) |
(sqrt.f64 1/2) |
(+.f64 (*.f64 1/8 (/.f64 y (sqrt.f64 1/2))) (sqrt.f64 1/2)) |
(+.f64 (*.f64 1/8 (/.f64 y (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))))) |
(+.f64 (*.f64 1/8 (/.f64 y (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1/16 (*.f64 1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)))))) |
1/2 |
(+.f64 1/2 (*.f64 1/4 y)) |
(+.f64 1/2 (+.f64 (*.f64 1/4 y) (*.f64 1/8 (pow.f64 y 2)))) |
(+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 y 3)) (+.f64 (*.f64 1/4 y) (*.f64 1/8 (pow.f64 y 2))))) |
(/.f64 -1 y) |
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3)))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))))) |
(/.f64 -1 y) |
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3)))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (sqrt.f64 1/2) y)) |
(neg.f64 (*.f64 (sqrt.f64 1/2) y)) |
(*.f64 (sqrt.f64 1/2) (neg.f64 y)) |
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 1/2) y)) (*.f64 -1/8 (/.f64 (pow.f64 y 2) (sqrt.f64 1/2)))) |
(fma.f64 -1 (*.f64 (sqrt.f64 1/2) y) (*.f64 -1/8 (/.f64 (*.f64 y y) (sqrt.f64 1/2)))) |
(-.f64 (*.f64 -1/8 (/.f64 (*.f64 y y) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) y)) |
(-.f64 (*.f64 (/.f64 -1/8 (sqrt.f64 1/2)) (*.f64 y y)) (*.f64 (sqrt.f64 1/2) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 1/2) y)) (*.f64 -1/8 (/.f64 (pow.f64 y 2) (sqrt.f64 1/2))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)) (fma.f64 -1 (*.f64 (sqrt.f64 1/2) y) (*.f64 -1/8 (/.f64 (*.f64 y y) (sqrt.f64 1/2))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 y 3) (sqrt.f64 1/2)) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (-.f64 (*.f64 -1/8 (/.f64 (*.f64 y y) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) y))) |
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 y 3) (sqrt.f64 1/2)) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (-.f64 (*.f64 (/.f64 -1/8 (sqrt.f64 1/2)) (*.f64 y y)) (*.f64 (sqrt.f64 1/2) y))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))) (+.f64 (*.f64 -1 (*.f64 (sqrt.f64 1/2) y)) (*.f64 -1/8 (/.f64 (pow.f64 y 2) (sqrt.f64 1/2)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 4) (-.f64 1/16 (*.f64 1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (sqrt.f64 1/2)) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)) (fma.f64 -1 (*.f64 (sqrt.f64 1/2) y) (*.f64 -1/8 (/.f64 (*.f64 y y) (sqrt.f64 1/2)))))) |
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 y 3) (sqrt.f64 1/2)) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (-.f64 (*.f64 -1/8 (/.f64 (*.f64 y y) (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) y))) (/.f64 (*.f64 -5/256 (pow.f64 y 4)) (sqrt.f64 1/2))) |
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 y 3) (sqrt.f64 1/2)) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (-.f64 (*.f64 (/.f64 -1/8 (sqrt.f64 1/2)) (*.f64 y y)) (*.f64 (sqrt.f64 1/2) y))) (/.f64 (*.f64 -5/256 (pow.f64 y 4)) (sqrt.f64 1/2))) |
(*.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 -1/2 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2)))) |
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (*.f64 -1/2 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2)))) |
(-.f64 (*.f64 -1/2 (/.f64 y (/.f64 (pow.f64 (-.f64 2 y) 2) x))) (/.f64 y (-.f64 2 y))) |
(-.f64 (*.f64 (/.f64 (*.f64 y -1/2) (pow.f64 (-.f64 2 y) 2)) x) (/.f64 y (-.f64 2 y))) |
(+.f64 (*.f64 -1/2 (*.f64 (-.f64 2 y) (*.f64 y (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (pow.f64 (/.f64 1/2 (pow.f64 (-.f64 2 y) 2)) 2)) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 -1/2 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2))))) |
(fma.f64 -1/2 (*.f64 (-.f64 2 y) (*.f64 y (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (pow.f64 (/.f64 1/2 (pow.f64 (-.f64 2 y) 2)) 2)) (*.f64 x x)))) (fma.f64 -1 (/.f64 y (-.f64 2 y)) (*.f64 -1/2 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2))))) |
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (pow.f64 (/.f64 1/2 (pow.f64 (-.f64 2 y) 2)) 2))) (-.f64 (*.f64 -1/2 (/.f64 y (/.f64 (pow.f64 (-.f64 2 y) 2) x))) (/.f64 y (-.f64 2 y)))) |
(-.f64 (*.f64 -1/2 (+.f64 (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (pow.f64 (/.f64 1/2 (pow.f64 (-.f64 2 y) 2)) 2)) (*.f64 x x)) (*.f64 y (-.f64 2 y))) (*.f64 (/.f64 x (pow.f64 (-.f64 2 y) 2)) y))) (/.f64 y (-.f64 2 y))) |
(+.f64 (*.f64 -1/2 (*.f64 (-.f64 2 y) (*.f64 y (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (pow.f64 (/.f64 1/2 (pow.f64 (-.f64 2 y) 2)) 2)) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2))) (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 5)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (pow.f64 (/.f64 1/2 (pow.f64 (-.f64 2 y) 2)) 2)) (-.f64 2 y)))) (*.f64 (-.f64 2 y) (*.f64 y (pow.f64 x 3)))))))) |
(fma.f64 -1/2 (*.f64 (-.f64 2 y) (*.f64 y (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (pow.f64 (/.f64 1/2 (pow.f64 (-.f64 2 y) 2)) 2)) (*.f64 x x)))) (fma.f64 -1 (/.f64 y (-.f64 2 y)) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 2 y) 2)) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 5)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (pow.f64 (/.f64 1/2 (pow.f64 (-.f64 2 y) 2)) 2)) (-.f64 2 y)))) (*.f64 (-.f64 2 y) (*.f64 y (pow.f64 x 3)))))))) |
(fma.f64 -1/2 (*.f64 (*.f64 (*.f64 y (-.f64 2 y)) (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (pow.f64 (/.f64 1/2 (pow.f64 (-.f64 2 y) 2)) 2))) (-.f64 (*.f64 -1/2 (+.f64 (/.f64 y (/.f64 (pow.f64 (-.f64 2 y) 2) x)) (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 5)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (pow.f64 (/.f64 1/2 (pow.f64 (-.f64 2 y) 2)) 2)) (-.f64 2 y)))) (*.f64 (-.f64 2 y) (*.f64 y (pow.f64 x 3)))))) (/.f64 y (-.f64 2 y)))) |
(+.f64 (-.f64 (*.f64 (/.f64 (*.f64 y -1/2) (pow.f64 (-.f64 2 y) 2)) x) (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 2 y) (+.f64 (*.f64 (*.f64 -1/2 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 5)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (pow.f64 (/.f64 1/2 (pow.f64 (-.f64 2 y) 2)) 2)) (-.f64 2 y))))) (*.f64 y (pow.f64 x 3))) (*.f64 -1/2 (*.f64 y (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 y) 4)) (pow.f64 (/.f64 1/2 (pow.f64 (-.f64 2 y) 2)) 2)) (*.f64 x x))))))) |
(*.f64 -1 (*.f64 (*.f64 (sqrt.f64 1/2) y) (sqrt.f64 (/.f64 1 (-.f64 2 x))))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 1/2) y)) (sqrt.f64 (/.f64 1 (-.f64 2 x)))) |
(*.f64 (neg.f64 (sqrt.f64 1/2)) (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 2 x))))) |
(*.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 x))) (neg.f64 y))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 1/2) y) (sqrt.f64 (/.f64 1 (-.f64 2 x))))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (-.f64 2 x)) 2)) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))))) |
(fma.f64 -1 (*.f64 (*.f64 (sqrt.f64 1/2) y) (sqrt.f64 (/.f64 1 (-.f64 2 x)))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 y y) (/.f64 (sqrt.f64 1/2) (fma.f64 -1 (-.f64 2 x) -2))) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))))) |
(-.f64 (*.f64 1/8 (*.f64 (*.f64 (/.f64 (*.f64 y y) (sqrt.f64 1/2)) (fma.f64 -1 (-.f64 2 x) -2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 (sqrt.f64 1/2) (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 2 x)))))) |
(-.f64 (*.f64 (/.f64 y (/.f64 (sqrt.f64 1/2) (*.f64 y (+.f64 (+.f64 x -2) -2)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))) 1/8)) (*.f64 (sqrt.f64 1/2) (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 2 x)))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 1/2) y) (sqrt.f64 (/.f64 1 (-.f64 2 x))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) 2) (pow.f64 (-.f64 2 x) 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) 2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 2 x)))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (-.f64 2 x)) 2)) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))))))) |
(fma.f64 -1 (*.f64 (*.f64 (sqrt.f64 1/2) y) (sqrt.f64 (/.f64 1 (-.f64 2 x)))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 y 3) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -1 (-.f64 2 x) -2) 2) (pow.f64 (-.f64 2 x) 3)) (+.f64 (/.f64 1/4 (pow.f64 (-.f64 2 x) 2)) (pow.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))) (/.f64 (fma.f64 -1 (-.f64 2 x) -2) (sqrt.f64 1/2)))) 2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 2 x))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 y y) (/.f64 (sqrt.f64 1/2) (fma.f64 -1 (-.f64 2 x) -2))) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))))))) |
(-.f64 (fma.f64 (*.f64 1/2 (*.f64 (/.f64 (pow.f64 y 3) (sqrt.f64 1/2)) (+.f64 (pow.f64 (*.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) (/.f64 (fma.f64 -1 (-.f64 2 x) -2) (sqrt.f64 1/2))) 2) (fma.f64 -1/8 (/.f64 (pow.f64 (fma.f64 -1 (-.f64 2 x) -2) 2) (pow.f64 (-.f64 2 x) 3)) (/.f64 1/4 (pow.f64 (-.f64 2 x) 2)))))) (sqrt.f64 (-.f64 2 x)) (*.f64 1/8 (*.f64 (*.f64 (/.f64 (*.f64 y y) (sqrt.f64 1/2)) (fma.f64 -1 (-.f64 2 x) -2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))))) (*.f64 (sqrt.f64 1/2) (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 2 x)))))) |
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 (/.f64 (pow.f64 y 3) (sqrt.f64 1/2)) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))) (/.f64 (+.f64 (+.f64 x -2) -2) (/.f64 (sqrt.f64 1/2) -1/8))) 2) (fma.f64 -1/8 (/.f64 (pow.f64 (+.f64 (+.f64 x -2) -2) 2) (pow.f64 (-.f64 2 x) 3)) (/.f64 1/4 (pow.f64 (-.f64 2 x) 2))))) (sqrt.f64 (-.f64 2 x))) (*.f64 (/.f64 y (/.f64 (sqrt.f64 1/2) (*.f64 y (+.f64 (+.f64 x -2) -2)))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))) 1/8))) (*.f64 (sqrt.f64 1/2) (*.f64 y (sqrt.f64 (/.f64 1 (-.f64 2 x)))))) |
(+.f64 (*.f64 -1 (*.f64 (*.f64 (sqrt.f64 1/2) y) (sqrt.f64 (/.f64 1 (-.f64 2 x))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) (pow.f64 (-.f64 2 x) 3))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) 2) (pow.f64 (-.f64 2 x) 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) 2))) (-.f64 (*.f64 -1 (-.f64 2 x)) 2)) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (-.f64 2 x)))) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) 2) (pow.f64 (-.f64 2 x) 3)))) (-.f64 (*.f64 -1 (-.f64 2 x)) 2)) (-.f64 2 x))))) (pow.f64 y 4)) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 2 x)))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) 2) (pow.f64 (-.f64 2 x) 3))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 (-.f64 2 x) 2))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) 2)))) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 2 x)))) (*.f64 1/8 (*.f64 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 -1 (-.f64 2 x)) 2)) (sqrt.f64 1/2)) (sqrt.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)))))))) |
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-1 |
(-.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (*.f64 -1 (-.f64 2 x))) y)) 1) |
(fma.f64 -1/2 (/.f64 (-.f64 2 (neg.f64 (-.f64 2 x))) y) -1) |
(fma.f64 -1/2 (/.f64 (+.f64 2 (-.f64 2 x)) y) -1) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (*.f64 -1 (-.f64 2 x))) y)) (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (-.f64 2 x)) (+.f64 (pow.f64 (*.f64 1/2 (-.f64 2 (*.f64 -1 (-.f64 2 x)))) 2) (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) (-.f64 2 (*.f64 -1 (-.f64 2 x)))))) (pow.f64 y 2)))) 1) |
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(fma.f64 -1/2 (/.f64 (+.f64 2 (-.f64 2 x)) y) (fma.f64 1/2 (/.f64 (fma.f64 2 (-.f64 2 x) (fma.f64 (fma.f64 -1 (-.f64 2 x) -2) (+.f64 2 (-.f64 2 x)) (pow.f64 (*.f64 1/2 (+.f64 2 (-.f64 2 x))) 2))) (*.f64 y y)) -1)) |
(fma.f64 -1/2 (/.f64 (+.f64 2 (-.f64 2 x)) y) (fma.f64 1/2 (/.f64 (fma.f64 2 (-.f64 2 x) (fma.f64 (+.f64 (+.f64 x -2) -2) (+.f64 2 (-.f64 2 x)) (pow.f64 (*.f64 1/2 (+.f64 2 (-.f64 2 x))) 2))) (*.f64 y y)) -1)) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (*.f64 -1 (-.f64 2 x))) y)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 2 (-.f64 2 x)) (+.f64 (pow.f64 (*.f64 1/2 (-.f64 2 (*.f64 -1 (-.f64 2 x)))) 2) (*.f64 (-.f64 (*.f64 -1 (-.f64 2 x)) 2) (-.f64 2 (*.f64 -1 (-.f64 2 x)))))) (pow.f64 y 2))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 (-.f64 2 (*.f64 -1 (-.f64 2 x))) (-.f64 (*.f64 -1 (-.f64 2 x)) 2)) (+.f64 (*.f64 2 (-.f64 2 x)) (pow.f64 (*.f64 1/2 (-.f64 2 (*.f64 -1 (-.f64 2 x)))) 2))) (-.f64 2 (*.f64 -1 (-.f64 2 x))))) (+.f64 (*.f64 2 (*.f64 (-.f64 2 x) (-.f64 2 (*.f64 -1 (-.f64 2 x))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 (-.f64 2 (*.f64 -1 (-.f64 2 x))) (-.f64 (*.f64 -1 (-.f64 2 x)) 2)) (*.f64 2 (-.f64 2 x))) (-.f64 (*.f64 -1 (-.f64 2 x)) 2))))) (pow.f64 y 3))))) 1) |
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(fma.f64 -1/2 (/.f64 (+.f64 2 (-.f64 2 x)) y) (fma.f64 1/2 (+.f64 (/.f64 (fma.f64 2 (-.f64 2 x) (fma.f64 (fma.f64 -1 (-.f64 2 x) -2) (+.f64 2 (-.f64 2 x)) (pow.f64 (*.f64 1/2 (+.f64 2 (-.f64 2 x))) 2))) (*.f64 y y)) (/.f64 (-.f64 (*.f64 (+.f64 2 (-.f64 2 x)) (+.f64 (*.f64 -1/2 (fma.f64 2 (-.f64 2 x) (fma.f64 (fma.f64 -1 (-.f64 2 x) -2) (+.f64 2 (-.f64 2 x)) (pow.f64 (*.f64 1/2 (+.f64 2 (-.f64 2 x))) 2)))) (*.f64 2 (-.f64 2 x)))) (*.f64 (fma.f64 -1 (-.f64 2 x) -2) (fma.f64 2 (-.f64 2 x) (*.f64 (fma.f64 -1 (-.f64 2 x) -2) (+.f64 2 (-.f64 2 x)))))) (pow.f64 y 3))) -1)) |
(fma.f64 -1/2 (/.f64 (+.f64 2 (-.f64 2 x)) y) (fma.f64 1/2 (+.f64 (/.f64 (fma.f64 2 (-.f64 2 x) (fma.f64 (+.f64 (+.f64 x -2) -2) (+.f64 2 (-.f64 2 x)) (pow.f64 (*.f64 1/2 (+.f64 2 (-.f64 2 x))) 2))) (*.f64 y y)) (/.f64 (fma.f64 (+.f64 2 (-.f64 2 x)) (+.f64 (*.f64 -1/2 (fma.f64 2 (-.f64 2 x) (fma.f64 (+.f64 (+.f64 x -2) -2) (+.f64 2 (-.f64 2 x)) (pow.f64 (*.f64 1/2 (+.f64 2 (-.f64 2 x))) 2)))) (*.f64 2 (-.f64 2 x))) (*.f64 (+.f64 2 (-.f64 2 x)) (fma.f64 2 (-.f64 2 x) (*.f64 (+.f64 (+.f64 x -2) -2) (+.f64 2 (-.f64 2 x)))))) (pow.f64 y 3))) -1)) |
1 |
(+.f64 (*.f64 -1/2 (/.f64 (-.f64 x 4) y)) 1) |
(fma.f64 -1/2 (/.f64 (+.f64 x -4) y) 1) |
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(fma.f64 -1/2 (/.f64 (+.f64 x -4) y) (fma.f64 -1/2 (/.f64 (fma.f64 (+.f64 x -4) (-.f64 4 x) (fma.f64 2 (-.f64 2 x) (pow.f64 (+.f64 (*.f64 x 1/2) -2) 2))) (*.f64 y y)) 1)) |
(fma.f64 -1/2 (/.f64 (+.f64 x -4) y) (fma.f64 -1/2 (/.f64 (fma.f64 (+.f64 x -4) (-.f64 4 x) (fma.f64 2 (-.f64 2 x) (pow.f64 (+.f64 -2 (*.f64 1/2 x)) 2))) (*.f64 y y)) 1)) |
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(sqrt.f64 1/2) |
(+.f64 (*.f64 1/8 (/.f64 y (sqrt.f64 1/2))) (sqrt.f64 1/2)) |
(fma.f64 1/8 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 1/2)) |
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(+.f64 (fma.f64 1/8 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 1/2)) (*.f64 1/2 (/.f64 (*.f64 (*.f64 y y) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)))) |
(fma.f64 1/8 (/.f64 y (sqrt.f64 1/2)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (sqrt.f64 1/2)) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))) |
(fma.f64 1/8 (/.f64 y (sqrt.f64 1/2)) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 y (sqrt.f64 1/2)) y) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))) |
(+.f64 (*.f64 1/8 (/.f64 y (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1/16 (*.f64 1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (sqrt.f64 1/2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2)))))) |
(+.f64 (fma.f64 1/8 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 1/2)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 1/16 (*.f64 1/8 (/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2)) (pow.f64 (sqrt.f64 1/2) 2))))) (sqrt.f64 1/2)) (/.f64 (*.f64 (*.f64 y y) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (sqrt.f64 1/2))))) |
(+.f64 (fma.f64 1/8 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 1/2)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (sqrt.f64 1/2)) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (/.f64 (*.f64 5/256 (pow.f64 y 3)) (sqrt.f64 1/2)))) |
(+.f64 (fma.f64 1/8 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 1/2)) (fma.f64 1/2 (*.f64 (*.f64 (/.f64 y (sqrt.f64 1/2)) y) (-.f64 1/8 (pow.f64 (/.f64 1/8 (sqrt.f64 1/2)) 2))) (/.f64 (*.f64 5/256 (pow.f64 y 3)) (sqrt.f64 1/2)))) |
1/2 |
(+.f64 1/2 (*.f64 1/4 y)) |
(+.f64 1/2 (*.f64 y 1/4)) |
(fma.f64 y 1/4 1/2) |
(+.f64 1/2 (+.f64 (*.f64 1/4 y) (*.f64 1/8 (pow.f64 y 2)))) |
(+.f64 1/2 (fma.f64 1/4 y (*.f64 (*.f64 y y) 1/8))) |
(+.f64 1/2 (fma.f64 y 1/4 (*.f64 y (*.f64 y 1/8)))) |
(+.f64 1/2 (*.f64 y (+.f64 1/4 (*.f64 y 1/8)))) |
(+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 y 3)) (+.f64 (*.f64 1/4 y) (*.f64 1/8 (pow.f64 y 2))))) |
(+.f64 1/2 (fma.f64 1/16 (pow.f64 y 3) (fma.f64 1/4 y (*.f64 (*.f64 y y) 1/8)))) |
(+.f64 1/2 (fma.f64 (pow.f64 y 3) 1/16 (fma.f64 y 1/4 (*.f64 y (*.f64 y 1/8))))) |
(+.f64 1/2 (fma.f64 (pow.f64 y 3) 1/16 (*.f64 y (+.f64 1/4 (*.f64 y 1/8))))) |
(/.f64 -1 y) |
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) |
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))) |
(+.f64 (/.f64 -1 y) (/.f64 -2 (*.f64 y y))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3)))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 4 (pow.f64 y 3))))) |
(-.f64 (+.f64 (/.f64 -1 y) (/.f64 -2 (*.f64 y y))) (/.f64 4 (pow.f64 y 3))) |
(+.f64 (+.f64 (/.f64 -1 y) (/.f64 -2 (*.f64 y y))) (/.f64 -4 (pow.f64 y 3))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 4 (pow.f64 y 3))) (/.f64 8 (pow.f64 y 4))))) |
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 2 (*.f64 y y)) (+.f64 (/.f64 4 (pow.f64 y 3)) (/.f64 8 (pow.f64 y 4))))) |
(+.f64 (+.f64 (/.f64 -2 (*.f64 y y)) (/.f64 -4 (pow.f64 y 3))) (+.f64 (/.f64 -1 y) (/.f64 -8 (pow.f64 y 4)))) |
(/.f64 -1 y) |
(neg.f64 (+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2))))) |
(neg.f64 (+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y)))) |
(+.f64 (/.f64 -1 y) (/.f64 -2 (*.f64 y y))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3)))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 4 (pow.f64 y 3))))) |
(-.f64 (+.f64 (/.f64 -1 y) (/.f64 -2 (*.f64 y y))) (/.f64 4 (pow.f64 y 3))) |
(+.f64 (+.f64 (/.f64 -1 y) (/.f64 -2 (*.f64 y y))) (/.f64 -4 (pow.f64 y 3))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))))) |
(neg.f64 (+.f64 (/.f64 1 y) (+.f64 (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 4 (pow.f64 y 3))) (/.f64 8 (pow.f64 y 4))))) |
(-.f64 (/.f64 -1 y) (+.f64 (/.f64 2 (*.f64 y y)) (+.f64 (/.f64 4 (pow.f64 y 3)) (/.f64 8 (pow.f64 y 4))))) |
(+.f64 (+.f64 (/.f64 -2 (*.f64 y y)) (/.f64 -4 (pow.f64 y 3))) (+.f64 (/.f64 -1 y) (/.f64 -8 (pow.f64 y 4)))) |
Compiled 11656 to 9037 computations (22.5% saved)
15 alts after pruning (3 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 618 | 1 | 619 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 11 | 12 |
| Total | 619 | 15 | 634 |
| Status | Error | Program |
|---|---|---|
| ✓ | 39.3b | (+.f64 -1 (/.f64 (+.f64 (+.f64 y -2) y) x)) |
| ✓ | 53.7b | (*.f64 (-.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 1) x) |
| ✓ | 38.0b | (+.f64 1 (/.f64 2 y)) |
| ✓ | 31.0b | (*.f64 (/.f64 1 (-.f64 2 x)) x) |
| 39.3b | -1 | |
| ✓ | 0.1b | (fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y))))) |
| 61.6b | (*.f64 (*.f64 1/2 y) 1) | |
| ✓ | 31.3b | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| ✓ | 39.2b | (-.f64 (*.f64 2 (/.f64 y x)) 1) |
| ✓ | 30.9b | (/.f64 x (-.f64 2 x)) |
| ✓ | 54.6b | (*.f64 1/2 x) |
| ✓ | 56.1b | (*.f64 -1/2 y) |
| ✓ | 44.7b | (*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) (neg.f64 y))) |
| 38.0b | 1 | |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
Compiled 136 to 104 computations (23.5% saved)
| Inputs |
|---|
-1 |
-1 |
1 |
(*.f64 1/2 x) |
(*.f64 -1/2 y) |
(*.f64 (*.f64 1/2 y) 1) |
(+.f64 1 (/.f64 2 y)) |
(/.f64 x (-.f64 2 x)) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(*.f64 (/.f64 1 (-.f64 2 x)) x) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(*.f64 (/.f64 y (+.f64 y 2)) 1) |
(+.f64 -1 (/.f64 (+.f64 (+.f64 y -2) y) x)) |
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (-.f64 2 x))) 1) x) |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y))))) |
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 2 x))) (/.f64 x (sqrt.f64 (-.f64 2 x)))) |
(*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 2 y))) (neg.f64 y))) |
(*.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y))))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
4 calls:
| 53.0ms | (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
| 11.0ms | x |
| 11.0ms | y |
| 5.0ms | (/.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 129 computations (34.5% saved)
| Inputs |
|---|
-1 |
-1 |
1 |
(*.f64 1/2 x) |
(*.f64 -1/2 y) |
(*.f64 (*.f64 1/2 y) 1) |
(+.f64 1 (/.f64 2 y)) |
(/.f64 x (-.f64 2 x)) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(*.f64 (/.f64 1 (-.f64 2 x)) x) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(*.f64 (/.f64 y (+.f64 y 2)) 1) |
(+.f64 -1 (/.f64 (+.f64 (+.f64 y -2) y) x)) |
| Outputs |
|---|
1 |
(/.f64 x (-.f64 2 x)) |
1 |
2 calls:
| 29.0ms | y |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.6b | 3 | x |
| 12.7b | 3 | y |
Compiled 68 to 49 computations (27.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 6.538231839633215e+28 | 3.3549070970163905e+31 |
| 18.0ms | -1.2611519542071663e+82 | -1.8562437549497909e+81 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
-1 |
-1 |
1 |
(*.f64 1/2 x) |
(*.f64 -1/2 y) |
(*.f64 (*.f64 1/2 y) 1) |
(+.f64 1 (/.f64 2 y)) |
| Outputs |
|---|
-1 |
(+.f64 1 (/.f64 2 y)) |
(*.f64 1/2 x) |
1 |
(*.f64 -1/2 y) |
1 |
-1 |
2 calls:
| 76.0ms | x |
| 29.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 17.6b | 7 | x |
| 19.4b | 5 | y |
Compiled 27 to 21 computations (22.2% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 4.304110283995504e+20 | 1.246734891788464e+37 |
| 61.0ms | 2.4947595255381554e-291 | 1.078780859986909e-290 |
| 18.0ms | -1.2114677715770131e-206 | -1.540260402002521e-210 |
| 16.0ms | -5.295156052286724e-170 | -1.304655240211449e-170 |
| 53.0ms | -1.3726830097278183e-104 | -2.429480488242229e-110 |
| 19.0ms | -6.953982642352497e+78 | -1.1259464845084263e+71 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
-1 |
-1 |
1 |
(*.f64 1/2 x) |
(*.f64 -1/2 y) |
(*.f64 (*.f64 1/2 y) 1) |
| Outputs |
|---|
-1 |
1 |
(*.f64 1/2 x) |
1 |
(*.f64 -1/2 y) |
1 |
-1 |
2 calls:
| 79.0ms | x |
| 53.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 17.6b | 7 | x |
| 19.4b | 5 | y |
Compiled 22 to 17 computations (22.7% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 87.0ms | 4.304110283995504e+20 | 1.246734891788464e+37 |
| 29.0ms | 2.4947595255381554e-291 | 1.078780859986909e-290 |
| 68.0ms | -1.2114677715770131e-206 | -1.540260402002521e-210 |
| 61.0ms | -5.295156052286724e-170 | -1.304655240211449e-170 |
| 28.0ms | -1.3726830097278183e-104 | -2.429480488242229e-110 |
| 38.0ms | -1.3331169617255747e+38 | -1.1315332697691267e+38 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
-1 |
-1 |
1 |
(*.f64 1/2 x) |
| Outputs |
|---|
-1 |
1 |
(*.f64 1/2 x) |
1 |
-1 |
2 calls:
| 118.0ms | x |
| 67.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 18.8b | 5 | x |
| 19.4b | 5 | y |
Compiled 14 to 11 computations (21.4% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 4.304110283995504e+20 | 1.246734891788464e+37 |
| 25.0ms | -5.295156052286724e-170 | -1.304655240211449e-170 |
| 24.0ms | -1.3726830097278183e-104 | -2.429480488242229e-110 |
| 48.0ms | -1.3331169617255747e+38 | -1.1315332697691267e+38 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
-1 |
-1 |
1 |
| Outputs |
|---|
-1 |
1 |
-1 |
2 calls:
| 29.0ms | y |
| 23.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 20.2b | 3 | x |
| 20.7b | 3 | y |
Compiled 11 to 9 computations (18.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 4.304110283995504e+20 | 1.246734891788464e+37 |
| 33.0ms | -1.3331169617255747e+38 | -1.1315332697691267e+38 |
Compiled 16 to 11 computations (31.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0.0b (-0%)
| Inputs |
|---|
-1 |
-1 |
| Outputs |
|---|
-1 |
2 calls:
| 3.0ms | x |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 39.3b | 1 | x |
| 39.3b | 1 | y |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 6× | +-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 4× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 186 |
| 1 | 60 | 186 |
| 2 | 67 | 186 |
| 3 | 71 | 186 |
| 4 | 73 | 186 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
(if (<=.f64 y -12611519542071663167118990672916521940599090784394698104420851682067828804096622592) 1 (if (<=.f64 y 65382318396332153947451031552) (/.f64 x (-.f64 2 x)) 1)) |
(if (<=.f64 x -6953982642352496837027189809464513128031948141859711714822211911172304196861952) -1 (if (<=.f64 x -4430763168152037/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x -7199893906593605/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (*.f64 1/2 x) (if (<=.f64 x -4379138428747038/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) 1 (if (<=.f64 x 448481207219231040/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (*.f64 -1/2 y) (if (<=.f64 x 430411028399550431232) 1 -1)))))) |
(if (<=.f64 x -133311696172557470142357336654417494016) -1 (if (<=.f64 x -4430763168152037/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) 1 (if (<=.f64 x -7199893906593605/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (*.f64 1/2 x) (if (<=.f64 x -4379138428747038/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) 1 (if (<=.f64 x 448481207219231040/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (*.f64 -1/2 y) (if (<=.f64 x 430411028399550431232) 1 -1)))))) |
(if (<=.f64 x -133311696172557470142357336654417494016) -1 (if (<=.f64 x -4430763168152037/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) 1 (if (<=.f64 x -7199893906593605/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (*.f64 1/2 x) (if (<=.f64 x 430411028399550431232) 1 -1)))) |
(if (<=.f64 x -133311696172557470142357336654417494016) -1 (if (<=.f64 x 430411028399550431232) 1 -1)) |
-1 |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
(if (<=.f64 y -12611519542071663167118990672916521940599090784394698104420851682067828804096622592) 1 (if (<=.f64 y 65382318396332153947451031552) (/.f64 x (-.f64 2 x)) 1)) |
(if (<=.f64 x -6953982642352496837027189809464513128031948141859711714822211911172304196861952) -1 (if (<=.f64 x -4430763168152037/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x -7199893906593605/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (*.f64 1/2 x) (if (<=.f64 x -4379138428747038/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) 1 (if (<=.f64 x 448481207219231040/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (*.f64 -1/2 y) (if (<=.f64 x 430411028399550431232) 1 -1)))))) |
(if (<=.f64 x -6953982642352496837027189809464513128031948141859711714822211911172304196861952) -1 (if (<=.f64 x -4430763168152037/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (+.f64 1 (/.f64 2 y)) (if (<=.f64 x -7199893906593605/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (*.f64 x 1/2) (if (<=.f64 x -2189569214373519/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368) 1 (if (<=.f64 x 7007518862800485/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144) (*.f64 y -1/2) (if (<=.f64 x 430411028399550431232) 1 -1)))))) |
(if (<=.f64 x -133311696172557470142357336654417494016) -1 (if (<=.f64 x -4430763168152037/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) 1 (if (<=.f64 x -7199893906593605/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (*.f64 1/2 x) (if (<=.f64 x -4379138428747038/361473786714651839609485931802192366508973300717001923159475447150424810286233407987951861887389439612274926783780351561999781998832434041296198795326329101623141899709787663433296905279066051548640942013290819886814068736) 1 (if (<=.f64 x 448481207219231040/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (*.f64 -1/2 y) (if (<=.f64 x 430411028399550431232) 1 -1)))))) |
(if (<=.f64 x -133311696172557470142357336654417494016) -1 (if (<=.f64 x -4430763168152037/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) 1 (if (<=.f64 x -7199893906593605/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (*.f64 x 1/2) (if (<=.f64 x -2189569214373519/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368) 1 (if (<=.f64 x 7007518862800485/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144) (*.f64 y -1/2) (if (<=.f64 x 430411028399550431232) 1 -1)))))) |
(if (<=.f64 x -133311696172557470142357336654417494016) -1 (if (<=.f64 x -4430763168152037/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) 1 (if (<=.f64 x -7199893906593605/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (*.f64 1/2 x) (if (<=.f64 x 430411028399550431232) 1 -1)))) |
(if (<=.f64 x -133311696172557470142357336654417494016) -1 (if (<=.f64 x -4430763168152037/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) 1 (if (<=.f64 x -7199893906593605/135971326161092377264534580877431968596375838138120172339057699379303311324378174141225600579898697131235668348479104259928724310439093053288837114564246362097620805333860664072122400768) (*.f64 x 1/2) (if (<=.f64 x 430411028399550431232) 1 -1)))) |
(if (<=.f64 x -133311696172557470142357336654417494016) -1 (if (<=.f64 x 430411028399550431232) 1 -1)) |
-1 |
Compiled 147 to 115 computations (21.8% 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 |
Compiled 22 to 14 computations (36.4% saved)
Compiled 135 to 103 computations (23.7% saved)
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