Time bar (total: 4.4s)
| 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 | 8255× | body | 256 | valid |
| 0.0ms | 1× | body | 1024 | valid |
| 2× | egg-herbie |
| 1210× | fma-neg_binary64 |
| 554× | div-sub_binary64 |
| 400× | sub-neg_binary64 |
| 367× | associate-/l*_binary64 |
| 357× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 26 |
| 1 | 33 | 26 |
| 2 | 54 | 26 |
| 3 | 106 | 26 |
| 4 | 228 | 26 |
| 5 | 464 | 26 |
| 6 | 1258 | 26 |
| 7 | 3570 | 26 |
| 8 | 5998 | 26 |
| 9 | 6870 | 26 |
| 10 | 7405 | 26 |
| 11 | 7607 | 26 |
| 12 | 7711 | 26 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
(/.f64 (-.f64 y x) (-.f64 2 (+.f64 y x))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
(/.f64 (-.f64 y x) (-.f64 2 (+.f64 y x))) |
(/.f64 (-.f64 y x) (-.f64 2 (+.f64 x y))) |
(/.f64 (-.f64 x y) (+.f64 x (+.f64 y -2))) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
| 1142× | fma-neg_binary64 |
| 983× | fma-def_binary64 |
| 651× | div-sub_binary64 |
| 413× | sub-neg_binary64 |
| 386× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 18 | 13 |
| 2 | 35 | 13 |
| 3 | 77 | 13 |
| 4 | 188 | 13 |
| 5 | 357 | 13 |
| 6 | 886 | 13 |
| 7 | 2396 | 13 |
| 8 | 4744 | 13 |
| 9 | 6567 | 13 |
| 10 | 7144 | 13 |
| 11 | 7528 | 13 |
| 12 | 7596 | 13 |
| 13 | 7616 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
Compiled 20 to 11 computations (45% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
Compiled 11 to 7 computations (36.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
Compiled 25 to 13 computations (48% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| 1.0ms | x | @ | inf | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| 1× | batch-egg-rewrite |
| 520× | log-prod_binary64 |
| 392× | fma-def_binary64 |
| 334× | pow-prod-down_binary64 |
| 289× | pow2_binary64 |
| 199× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 200 | 13 |
| 2 | 3178 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -2)) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 (+.f64 x y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) -2) (/.f64 (-.f64 x y) (cbrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (/.f64 (-.f64 x y) (sqrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) (-.f64 2 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2)) (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 (-.f64 2 (+.f64 x y)))) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 y 3))) (fma.f64 y (+.f64 y (-.f64 2 x)) (pow.f64 (-.f64 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) (+.f64 y (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (-.f64 2 (+.f64 x y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (neg.f64 (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (-.f64 2 (+.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 2 (+.f64 x y)) (-.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 2 (+.f64 x y)))) 2) (cbrt.f64 (/.f64 x (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (-.f64 2 (+.f64 x y)))) (sqrt.f64 (/.f64 x (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) -2) (/.f64 x (cbrt.f64 (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 2 (+.f64 x y)) -1/2) (/.f64 x (sqrt.f64 (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 2 (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 2 (+.f64 x y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 2 (+.f64 x y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 2 (+.f64 x y)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 2 (+.f64 x y)))) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 2 x) 3) (pow.f64 y 3))) (fma.f64 y (+.f64 y (-.f64 2 x)) (pow.f64 (-.f64 2 x) 2)) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 (pow.f64 (-.f64 2 x) 2) (*.f64 y y))) (+.f64 y (-.f64 2 x)) (neg.f64 (/.f64 y (-.f64 2 (+.f64 x y))))))))) |
| 1× | egg-herbie |
| 593× | div-sub_binary64 |
| 464× | fma-def_binary64 |
| 394× | times-frac_binary64 |
| 305× | associate-/l*_binary64 |
| 302× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 865 |
| 1 | 343 | 807 |
| 2 | 1252 | 693 |
| 3 | 7180 | 693 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 2 y))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(/.f64 x (-.f64 2 x)) |
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y))) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2))))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2)))))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 y (-.f64 2 y))) |
(neg.f64 (/.f64 y (-.f64 2 y))) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)) |
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x)) |
(-.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 y (-.f64 2 y))) |
(+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y)))) |
(fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (-.f64 2 y) (*.f64 x x))))) |
(-.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x))) (/.f64 y (-.f64 2 y))) |
(fma.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x) (-.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 y (-.f64 2 y)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (+.f64 (*.f64 -1 (/.f64 y (-.f64 2 y))) (+.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (pow.f64 x 2)) (-.f64 2 y))))) |
(+.f64 (fma.f64 -1 (/.f64 y (-.f64 2 y)) (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (-.f64 2 y) (*.f64 x x))))) (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3)))) |
(+.f64 (fma.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (*.f64 x x))) (-.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (/.f64 (pow.f64 (-.f64 2 y) 2) (pow.f64 x 3))) (/.f64 y (-.f64 2 y)))) |
(+.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) x) (/.f64 y (-.f64 2 y))) (*.f64 (/.f64 (-.f64 (/.f64 1 (-.f64 2 y)) (/.f64 y (pow.f64 (-.f64 2 y) 2))) (-.f64 2 y)) (+.f64 (*.f64 x x) (/.f64 (pow.f64 x 3) (-.f64 2 y))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (/.f64 (*.f64 y 2) x) (+.f64 1 (/.f64 2 x))) |
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) |
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (/.f64 (*.f64 y 2) x) (+.f64 1 (/.f64 2 x)))) |
(+.f64 (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x))) |
(fma.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x) (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (fma.f64 2 (/.f64 y x) (/.f64 (fma.f64 2 y -2) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 2)))) (+.f64 1 (/.f64 2 x)))) |
(+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x)) (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)))) |
(+.f64 (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (+.f64 (-.f64 2 y) (/.f64 (pow.f64 (-.f64 2 y) 2) x)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(-.f64 (/.f64 (*.f64 y 2) x) (+.f64 1 (/.f64 2 x))) |
(-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) |
(+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (*.f64 2 (/.f64 y x))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (/.f64 (*.f64 y 2) x) (+.f64 1 (/.f64 2 x)))) |
(+.f64 (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)) (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x))) |
(fma.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x) (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1)) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (-.f64 2 y)) (pow.f64 x 2)) (+.f64 (*.f64 2 (/.f64 y x)) (/.f64 (*.f64 (-.f64 (*.f64 2 y) 2) (pow.f64 (-.f64 2 y) 2)) (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (/.f64 (fma.f64 2 y -2) (/.f64 (*.f64 x x) (-.f64 2 y))) (-.f64 (fma.f64 2 (/.f64 y x) (/.f64 (fma.f64 2 y -2) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 2)))) (+.f64 1 (/.f64 2 x)))) |
(+.f64 (*.f64 (/.f64 (-.f64 2 y) x) (/.f64 (fma.f64 y 2 -2) x)) (+.f64 (*.f64 (/.f64 (fma.f64 y 2 -2) (pow.f64 x 3)) (pow.f64 (-.f64 2 y) 2)) (-.f64 (fma.f64 2 (/.f64 y x) -1) (/.f64 2 x)))) |
(+.f64 (+.f64 (/.f64 (fma.f64 y 2 -2) x) -1) (*.f64 (/.f64 (fma.f64 y 2 -2) (*.f64 x x)) (+.f64 (-.f64 2 y) (/.f64 (pow.f64 (-.f64 2 y) 2) x)))) |
(/.f64 x (-.f64 2 x)) |
(+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))) |
(+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2)))))) |
(-.f64 (/.f64 x (-.f64 2 x)) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) |
(fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (/.f64 x (-.f64 2 x))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y)))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)) (+.f64 (/.f64 x (-.f64 2 x)) (neg.f64 (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2))))))) |
(-.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (*.f64 y y) (/.f64 x (-.f64 2 x))) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) |
(fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (fma.f64 (*.f64 y y) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 -1 (pow.f64 (-.f64 2 x) 2))) (/.f64 x (-.f64 2 x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 3)))) (pow.f64 y 2))) (+.f64 (/.f64 x (-.f64 2 x)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4))) (/.f64 1 (pow.f64 (-.f64 2 x) 3))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (-.f64 2 x)) (*.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 2)))) y))))) |
(fma.f64 -1 (*.f64 (+.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 3))) (*.f64 y y)) (+.f64 (/.f64 x (-.f64 2 x)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 y 3) (fma.f64 -1 (/.f64 x (pow.f64 (-.f64 2 x) 4)) (/.f64 1 (pow.f64 (-.f64 2 x) 3)))) (*.f64 y (+.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 2 x) 2)))))))) |
(-.f64 (fma.f64 -1 (fma.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))) (*.f64 y (-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 x (pow.f64 (-.f64 2 x) 2))))) (/.f64 x (-.f64 2 x))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 2)) (/.f64 x (pow.f64 (-.f64 2 x) 3))) (*.f64 y y))) |
(-.f64 (fma.f64 y (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (/.f64 -1 (-.f64 2 x))) (fma.f64 (*.f64 y y) (+.f64 (/.f64 x (pow.f64 (-.f64 2 x) 3)) (/.f64 -1 (pow.f64 (-.f64 2 x) 2))) (/.f64 x (-.f64 2 x)))) (*.f64 (pow.f64 y 3) (-.f64 (/.f64 1 (pow.f64 (-.f64 2 x) 3)) (/.f64 x (pow.f64 (-.f64 2 x) 4))))) |
1 |
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 x y))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(+.f64 1 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (-.f64 2 x)) y))) |
(+.f64 (-.f64 1 (/.f64 x y)) (/.f64 (-.f64 2 x) y)) |
(+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (-.f64 2 x)) (pow.f64 y 2)) (*.f64 -1 (/.f64 x y)))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (*.f64 y y) (-.f64 2 x)))) (/.f64 (neg.f64 (-.f64 2 x)) y))) |
(+.f64 (/.f64 (-.f64 2 x) y) (+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) (*.f64 y y)) (fma.f64 -1 x (-.f64 2 x))))) |
(+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (-.f64 2 x) y) (-.f64 (/.f64 (-.f64 (-.f64 2 x) x) y) -1))) |
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 2 x) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x)))) (pow.f64 y 2)) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 x y)) (/.f64 (*.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 2 x))) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))))) (*.f64 -1 (/.f64 (-.f64 2 x) y))) |
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (*.f64 y y) (-.f64 2 x))) 1) (fma.f64 -1 (/.f64 x y) (/.f64 (*.f64 -1 (-.f64 x (-.f64 2 x))) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))))) (/.f64 (neg.f64 (-.f64 2 x)) y)) |
(+.f64 (+.f64 (-.f64 1 (/.f64 x y)) (*.f64 (/.f64 (fma.f64 -1 x (-.f64 2 x)) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2))) (+.f64 (*.f64 (/.f64 (-.f64 2 x) (*.f64 y y)) (fma.f64 -1 x (-.f64 2 x))) (/.f64 (-.f64 2 x) y))) |
(+.f64 (+.f64 1 (/.f64 (-.f64 (-.f64 2 x) x) y)) (*.f64 (/.f64 (-.f64 (-.f64 2 x) x) (*.f64 y y)) (+.f64 (/.f64 (pow.f64 (-.f64 2 x) 2) y) (-.f64 2 x)))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y))) |
(+.f64 1 (neg.f64 (/.f64 (fma.f64 2 x -2) y))) |
(-.f64 1 (/.f64 (fma.f64 2 x -2) y)) |
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2))))) |
(+.f64 1 (*.f64 -1 (+.f64 (/.f64 (fma.f64 2 x -2) y) (/.f64 (fma.f64 2 x -2) (/.f64 (*.f64 y y) (-.f64 2 x)))))) |
(-.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (*.f64 (/.f64 (fma.f64 2 x -2) (*.f64 y y)) (-.f64 2 x))) |
(-.f64 1 (*.f64 (+.f64 1 (/.f64 (-.f64 2 x) y)) (/.f64 (fma.f64 2 x -2) y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (pow.f64 (-.f64 2 x) 2)) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 x) 2) y)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 x) 2) (-.f64 2 x)) (pow.f64 y 2)))))) |
(fma.f64 -1 (/.f64 (fma.f64 2 x -2) (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 2 x) 2))) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (fma.f64 2 x -2) y) (/.f64 (fma.f64 2 x -2) (/.f64 (*.f64 y y) (-.f64 2 x))))))) |
(-.f64 (-.f64 (-.f64 1 (/.f64 (fma.f64 2 x -2) y)) (*.f64 (/.f64 (fma.f64 2 x -2) (*.f64 y y)) (-.f64 2 x))) (*.f64 (/.f64 (fma.f64 2 x -2) (pow.f64 y 3)) (pow.f64 (-.f64 2 x) 2))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 (fma.f64 2 x -2) y) (-.f64 -1 (/.f64 (-.f64 2 x) y))) (*.f64 (pow.f64 (-.f64 2 x) 2) (/.f64 (fma.f64 2 x -2) (pow.f64 y 3))))) |
Compiled 2066 to 1291 computations (37.5% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 91 | 5 | 96 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 91 | 6 | 97 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.1b | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| ▶ | 30.7b | (/.f64 x (-.f64 2 x)) |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| ▶ | 38.5b | (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
| 38.7b | -1 | |
| 39.9b | 1 |
Compiled 47 to 36 computations (23.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (*.f64 2 (/.f64 1 x))) |
| ✓ | 0.0b | (*.f64 2 (/.f64 y x)) |
| ✓ | 0.0b | (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
Compiled 42 to 28 computations (33.3% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
| 1.0ms | y | @ | 0 | (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
| 1.0ms | y | @ | inf | (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
| 1.0ms | y | @ | inf | (*.f64 2 (/.f64 y x)) |
| 1.0ms | x | @ | inf | (-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
| 1× | batch-egg-rewrite |
| 592× | log-prod_binary64 |
| 568× | fma-def_binary64 |
| 312× | pow2_binary64 |
| 280× | fma-neg_binary64 |
| 217× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 30 |
| 1 | 250 | 28 |
| 2 | 3496 | 28 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(*.f64 2 (/.f64 y x)) |
(+.f64 1 (*.f64 2 (/.f64 1 x))) |
| Outputs |
|---|
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((#(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 (pow.f64 (/.f64 2 x) 2) (-.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))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (pow.f64 (/.f64 2 x) 2)) (/.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 (pow.f64 (/.f64 2 x) 2))))))) (#(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 (pow.f64 (/.f64 2 x) 2)) (-.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 (pow.f64 (/.f64 2 x) 2))) (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 (pow.f64 (+.f64 1 (/.f64 2 x)) 2) 1/2)))) (#(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 (pow.f64 (+.f64 1 (/.f64 2 x)) 3) 1/3)))) (#(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 (pow.f64 (/.f64 2 x) 2))) -1)))) (#(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 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 (pow.f64 (/.f64 2 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 2 x) 2)) (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 |
| 705× | fma-def_binary64 |
| 637× | fma-neg_binary64 |
| 283× | cancel-sign-sub-inv_binary64 |
| 69× | sub-neg_binary64 |
| 58× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 243 |
| 1 | 56 | 205 |
| 2 | 113 | 169 |
| 3 | 184 | 169 |
| 4 | 288 | 169 |
| 5 | 579 | 169 |
| 6 | 1221 | 169 |
| 7 | 1942 | 169 |
| 8 | 2720 | 169 |
| 9 | 2966 | 169 |
| 10 | 2971 | 169 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(*.f64 2 (/.f64 y x)) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(*.f64 2 (/.f64 y x)) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(/.f64 (-.f64 (*.f64 2 y) 2) x) |
-1 |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1) |
(/.f64 2 x) |
1 |
1 |
| Outputs |
|---|
(*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
(neg.f64 (+.f64 1 (/.f64 2 x))) |
(+.f64 -1 (/.f64 -2 x)) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x))) |
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x))) |
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x)) |
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x))) |
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x))) |
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x)) |
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x))) |
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x))) |
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x)) |
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1) |
(*.f64 2 (/.f64 y x)) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x))) |
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x))) |
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x)) |
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x))) |
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x))) |
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x)) |
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x))) |
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x))) |
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x)) |
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1) |
(*.f64 2 (/.f64 y x)) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x))) |
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x))) |
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x)) |
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x))) |
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x))) |
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x)) |
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1) |
(+.f64 (*.f64 -1 (+.f64 1 (*.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 y x))) |
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x))) |
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x))) |
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x)) |
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1) |
(/.f64 (-.f64 (*.f64 2 y) 2) x) |
(/.f64 (fma.f64 2 y -2) x) |
-1 |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1) |
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x))) |
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x))) |
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x)) |
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1) |
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x))) |
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x))) |
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x)) |
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 y) 2) x)) 1) |
(fma.f64 -1 (+.f64 1 (/.f64 2 x)) (*.f64 2 (/.f64 y x))) |
(fma.f64 2 (/.f64 y x) (+.f64 -1 (/.f64 -2 x))) |
(+.f64 -1 (/.f64 (fma.f64 2 y -2) x)) |
(fma.f64 2 (/.f64 (-.f64 y 1) x) -1) |
(/.f64 2 x) |
1 |
1 |
Compiled 12 to 8 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (neg.f64 y) (-.f64 2 y)) |
Compiled 15 to 9 computations (40% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| 0.0ms | y | @ | inf | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| 0.0ms | y | @ | -inf | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| 1× | batch-egg-rewrite |
| 671× | pow1_binary64 |
| 631× | add-log-exp_binary64 |
| 629× | log1p-expm1-u_binary64 |
| 629× | expm1-log1p-u_binary64 |
| 620× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 142 | 7 |
| 2 | 2130 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 y) (-.f64 2 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 y 2)) (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 -2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 2) (cbrt.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y 2))) (sqrt.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 2)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y 2))) (/.f64 y (sqrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (cbrt.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 y 2)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y 2))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 y 2))) (/.f64 y (sqrt.f64 (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 8 (pow.f64 y 3))) (+.f64 4 (*.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 4 (*.f64 y y))) (+.f64 y 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 2) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (+.f64 y 2)))))))) |
| 1× | egg-herbie |
| 1033× | fma-def_binary64 |
| 805× | unswap-sqr_binary64 |
| 588× | associate-/l*_binary64 |
| 545× | distribute-lft-out_binary64 |
| 416× | *-commutative_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 156 |
| 1 | 95 | 156 |
| 2 | 213 | 154 |
| 3 | 550 | 145 |
| 4 | 1648 | 140 |
| 5 | 4578 | 140 |
| 6 | 7882 | 140 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 -1/2 y)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/2 y) (*.f64 -1/8 (pow.f64 y 3)))) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1/16 (pow.f64 y 4)) (*.f64 -1/8 (pow.f64 y 3))))) |
1 |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (*.f64 2 (/.f64 1 y)))) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))) |
1 |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (*.f64 2 (/.f64 1 y)))) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))) |
| Outputs |
|---|
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 -1/2 y)) |
(fma.f64 -1/4 (*.f64 y y) (*.f64 -1/2 y)) |
(fma.f64 -1/2 y (*.f64 y (*.f64 y -1/4))) |
(*.f64 y (+.f64 -1/2 (*.f64 y -1/4))) |
(*.f64 y (fma.f64 y -1/4 -1/2)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/2 y) (*.f64 -1/8 (pow.f64 y 3)))) |
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/2 y (*.f64 -1/8 (pow.f64 y 3)))) |
(fma.f64 -1/2 y (*.f64 (*.f64 y y) (+.f64 -1/4 (*.f64 y -1/8)))) |
(*.f64 y (+.f64 -1/2 (*.f64 y (fma.f64 y -1/8 -1/4)))) |
(*.f64 y (fma.f64 y (fma.f64 y -1/8 -1/4) -1/2)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 -1/2 y) (+.f64 (*.f64 -1/16 (pow.f64 y 4)) (*.f64 -1/8 (pow.f64 y 3))))) |
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/2 y (fma.f64 -1/16 (pow.f64 y 4) (*.f64 -1/8 (pow.f64 y 3))))) |
(fma.f64 -1/4 (*.f64 y y) (fma.f64 -1/2 y (fma.f64 -1/8 (pow.f64 y 3) (*.f64 -1/16 (pow.f64 y 4))))) |
(fma.f64 y (*.f64 y -1/4) (fma.f64 -1/8 (pow.f64 y 3) (fma.f64 -1/16 (pow.f64 y 4) (*.f64 -1/2 y)))) |
(fma.f64 -1/16 (pow.f64 y 4) (*.f64 y (+.f64 -1/2 (*.f64 y (fma.f64 y -1/8 -1/4))))) |
(*.f64 y (+.f64 -1/2 (*.f64 y (fma.f64 y (fma.f64 y -1/16 -1/8) -1/4)))) |
1 |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (*.f64 2 (/.f64 1 y)))) |
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y)))) |
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 (/.f64 4 y) y))) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (+.f64 (/.f64 2 y) (/.f64 8 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y))) (/.f64 8 (pow.f64 y 3)))) |
(+.f64 1 (+.f64 (/.f64 2 y) (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 8 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (/.f64 2 y) (+.f64 (/.f64 (/.f64 4 y) y) (/.f64 8 (pow.f64 y 3))))) |
1 |
(+.f64 (*.f64 2 (/.f64 1 y)) 1) |
(+.f64 1 (/.f64 2 y)) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (*.f64 2 (/.f64 1 y)))) |
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y)))) |
(+.f64 1 (+.f64 (/.f64 2 y) (/.f64 (/.f64 4 y) y))) |
(+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 y 2))) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 y 3))) (*.f64 2 (/.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 4 (*.f64 y y)) (+.f64 (/.f64 2 y) (/.f64 8 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (+.f64 (/.f64 2 y) (/.f64 4 (*.f64 y y))) (/.f64 8 (pow.f64 y 3)))) |
(+.f64 1 (+.f64 (/.f64 2 y) (+.f64 (/.f64 4 (*.f64 y y)) (/.f64 8 (pow.f64 y 3))))) |
(+.f64 1 (+.f64 (/.f64 2 y) (+.f64 (/.f64 (/.f64 4 y) y) (/.f64 8 (pow.f64 y 3))))) |
Compiled 5190 to 3902 computations (24.8% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 273 | 6 | 279 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 2 | 3 |
| Total | 276 | 9 | 285 |
| Status | Error | Program |
|---|---|---|
| ▶ | 32.1b | (*.f64 y (/.f64 1 (+.f64 -2 y))) |
| 38.7b | -1 | |
| ▶ | 38.4b | (-.f64 (*.f64 2 (/.f64 y x)) 1) |
| ✓ | 32.1b | (/.f64 (neg.f64 y) (-.f64 2 y)) |
| ✓ | 30.7b | (/.f64 x (-.f64 2 x)) |
| ▶ | 55.7b | (*.f64 -1/2 y) |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| ▶ | 39.6b | (+.f64 1 (/.f64 2 y)) |
| 39.9b | 1 |
Compiled 62 to 48 computations (22.6% saved)
Compiled 7 to 5 computations (28.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (+.f64 -2 y)) |
| ✓ | 0.1b | (*.f64 y (/.f64 1 (+.f64 -2 y))) |
Compiled 20 to 15 computations (25% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 y (/.f64 1 (+.f64 -2 y))) |
| 0.0ms | y | @ | inf | (/.f64 1 (+.f64 -2 y)) |
| 0.0ms | y | @ | -inf | (/.f64 1 (+.f64 -2 y)) |
| 0.0ms | y | @ | 0 | (/.f64 1 (+.f64 -2 y)) |
| 0.0ms | y | @ | inf | (*.f64 y (/.f64 1 (+.f64 -2 y))) |
| 1× | batch-egg-rewrite |
| 754× | pow1_binary64 |
| 705× | add-log-exp_binary64 |
| 704× | log1p-expm1-u_binary64 |
| 704× | expm1-log1p-u_binary64 |
| 693× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 14 |
| 1 | 153 | 14 |
| 2 | 1932 | 14 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (/.f64 1 (+.f64 -2 y))) |
(/.f64 1 (+.f64 -2 y)) |
| 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 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y -2) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (+.f64 y -2) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 y) (/.f64 (+.f64 y -2) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (+.f64 2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (sqrt.f64 (+.f64 y -2))) (sqrt.f64 (+.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y 1) (+.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 y -2)) 2)) (cbrt.f64 (+.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 y) (+.f64 2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1) (+.f64 2 (neg.f64 y)))))) (#(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 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 cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (+.f64 y -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 y -2)) 3) (pow.f64 y 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 -.f64 (+.f64 1 (/.f64 1 (+.f64 y -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 y -2))) (cbrt.f64 (pow.f64 (+.f64 y -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 y -2) -2)) (/.f64 1 (cbrt.f64 (+.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y -2) -1/2) (pow.f64 (+.f64 y -2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 2 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 y -2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 y -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 y -2)) -1) (pow.f64 (sqrt.f64 (+.f64 y -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -8 (pow.f64 y 3))) (+.f64 4 (*.f64 y (-.f64 y -2))))))) (#(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 pow.f64 (+.f64 y -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 y -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 y -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y -2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 y -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 y -2)))))))) |
| 1× | egg-herbie |
| 623× | associate-/r*_binary64 |
| 535× | fma-def_binary64 |
| 499× | distribute-lft-out_binary64 |
| 440× | associate-/l/_binary64 |
| 345× | times-frac_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 337 |
| 1 | 152 | 335 |
| 2 | 351 | 326 |
| 3 | 882 | 312 |
| 4 | 2399 | 310 |
| 5 | 6214 | 310 |
| 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))))) |
-1/2 |
(-.f64 (*.f64 -1/4 y) 1/2) |
(-.f64 (+.f64 (*.f64 -1/4 y) (*.f64 -1/8 (pow.f64 y 2))) 1/2) |
(-.f64 (+.f64 (*.f64 -1/4 y) (+.f64 (*.f64 -1/16 (pow.f64 y 3)) (*.f64 -1/8 (pow.f64 y 2)))) 1/2) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))) |
(+.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) |
(+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))) |
(+.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 -1/2 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 (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 -1/4 (*.f64 y y) (fma.f64 -1/8 (pow.f64 y 3) (*.f64 -1/2 y))) |
(fma.f64 -1/8 (pow.f64 y 3) (*.f64 y (fma.f64 y -1/4 -1/2))) |
(*.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))))) |
(+.f64 (*.f64 y (fma.f64 y -1/4 -1/2)) (fma.f64 -1/8 (pow.f64 y 3) (*.f64 -1/16 (pow.f64 y 4)))) |
(fma.f64 y (fma.f64 y -1/4 -1/2) (*.f64 (pow.f64 y 3) (fma.f64 y -1/16 -1/8))) |
(*.f64 y (fma.f64 y (+.f64 -1/4 (*.f64 y (fma.f64 y -1/16 -1/8))) -1/2)) |
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 (/.f64 2 y) (+.f64 1 (/.f64 4 (*.f64 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 1 (*.f64 y y)) (+.f64 4 (/.f64 8 y))))) |
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 (/.f64 2 y) (+.f64 1 (/.f64 4 (*.f64 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 1 (*.f64 y y)) (+.f64 4 (/.f64 8 y))))) |
-1/2 |
(-.f64 (*.f64 -1/4 y) 1/2) |
(fma.f64 -1/4 y -1/2) |
(fma.f64 y -1/4 -1/2) |
(-.f64 (+.f64 (*.f64 -1/4 y) (*.f64 -1/8 (pow.f64 y 2))) 1/2) |
(+.f64 (fma.f64 -1/4 y (*.f64 (*.f64 y y) -1/8)) -1/2) |
(fma.f64 y -1/4 (fma.f64 (*.f64 y y) -1/8 -1/2)) |
(fma.f64 y (fma.f64 y -1/8 -1/4) -1/2) |
(-.f64 (+.f64 (*.f64 -1/4 y) (+.f64 (*.f64 -1/16 (pow.f64 y 3)) (*.f64 -1/8 (pow.f64 y 2)))) 1/2) |
(+.f64 (fma.f64 -1/4 y (fma.f64 -1/16 (pow.f64 y 3) (*.f64 (*.f64 y y) -1/8))) -1/2) |
(+.f64 (fma.f64 (*.f64 y y) -1/8 (*.f64 (pow.f64 y 3) -1/16)) (fma.f64 y -1/4 -1/2)) |
(fma.f64 y -1/4 (fma.f64 (pow.f64 y 3) -1/16 (fma.f64 (*.f64 y y) -1/8 -1/2))) |
(fma.f64 y (*.f64 y (fma.f64 y -1/16 -1/8)) (fma.f64 y -1/4 -1/2)) |
(fma.f64 y (+.f64 -1/4 (*.f64 y (fma.f64 y -1/16 -1/8))) -1/2) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (/.f64 (/.f64 2 y) y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 4 (pow.f64 y 3)))) |
(+.f64 (/.f64 (/.f64 2 y) y) (+.f64 (/.f64 1 y) (/.f64 4 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (*.f64 y y)) (+.f64 2 (/.f64 4 y)))) |
(+.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 (/.f64 1 y) (+.f64 (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 4 (pow.f64 y 3))) (/.f64 8 (pow.f64 y 4)))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 8 (pow.f64 y 4))) (+.f64 (/.f64 4 (pow.f64 y 3)) (/.f64 1 y))) |
(+.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 1 y) (+.f64 (/.f64 (/.f64 2 y) y) (+.f64 (/.f64 4 (pow.f64 y 3)) (/.f64 8 (pow.f64 y 4))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 2 y) y) (*.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 4 (/.f64 8 y))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 2 (/.f64 1 (pow.f64 y 2)))) |
(+.f64 (/.f64 1 y) (/.f64 2 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (/.f64 (/.f64 2 y) y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 y 2))) (*.f64 4 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 4 (pow.f64 y 3)))) |
(+.f64 (/.f64 (/.f64 2 y) y) (+.f64 (/.f64 1 y) (/.f64 4 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 1 (*.f64 y y)) (+.f64 2 (/.f64 4 y)))) |
(+.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 (/.f64 1 y) (+.f64 (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 4 (pow.f64 y 3))) (/.f64 8 (pow.f64 y 4)))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 y y)) (/.f64 8 (pow.f64 y 4))) (+.f64 (/.f64 4 (pow.f64 y 3)) (/.f64 1 y))) |
(+.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 1 y) (+.f64 (/.f64 (/.f64 2 y) y) (+.f64 (/.f64 4 (pow.f64 y 3)) (/.f64 8 (pow.f64 y 4))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 (/.f64 2 y) y) (*.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 4 (/.f64 8 y))))) |
Compiled 13 to 10 computations (23.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 2 (/.f64 y x)) |
Compiled 21 to 11 computations (47.6% saved)
Compiled 1084 to 812 computations (25.1% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 101 | 1 | 102 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 4 | 6 |
| Total | 103 | 8 | 111 |
| Status | Error | Program |
|---|---|---|
| ✓ | 32.1b | (*.f64 y (/.f64 1 (+.f64 -2 y))) |
| 38.7b | -1 | |
| ✓ | 38.4b | (-.f64 (*.f64 2 (/.f64 y x)) 1) |
| ✓ | 30.7b | (/.f64 x (-.f64 2 x)) |
| ✓ | 55.7b | (*.f64 -1/2 y) |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| ▶ | 32.1b | (/.f64 y (+.f64 y -2)) |
| 39.9b | 1 |
Compiled 54 to 41 computations (24.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 y (+.f64 y -2)) |
Compiled 12 to 8 computations (33.3% 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 |
| 674× | pow1_binary64 |
| 634× | add-log-exp_binary64 |
| 634× | log1p-expm1-u_binary64 |
| 634× | expm1-log1p-u_binary64 |
| 623× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 117 | 7 |
| 2 | 1631 | 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 |
| 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))))) |
Compiled 500 to 365 computations (27% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 47 | 0 | 47 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 47 | 8 | 55 |
| Status | Error | Program |
|---|---|---|
| ✓ | 32.1b | (*.f64 y (/.f64 1 (+.f64 -2 y))) |
| 38.7b | -1 | |
| ✓ | 38.4b | (-.f64 (*.f64 2 (/.f64 y x)) 1) |
| ✓ | 30.7b | (/.f64 x (-.f64 2 x)) |
| ✓ | 55.7b | (*.f64 -1/2 y) |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
| ✓ | 32.1b | (/.f64 y (+.f64 y -2)) |
| 39.9b | 1 |
Compiled 54 to 41 computations (24.1% saved)
| Inputs |
|---|
-1 |
1 |
-1 |
1 |
(*.f64 -1/2 y) |
(/.f64 y (+.f64 y -2)) |
(+.f64 1 (/.f64 2 y)) |
(/.f64 x (-.f64 2 x)) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(*.f64 y (/.f64 1 (+.f64 -2 y))) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (*.f64 2 (/.f64 1 x)))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
4 calls:
| 29.0ms | x |
| 16.0ms | y |
| 13.0ms | (/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y))) |
| 8.0ms | (/.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 103 to 68 computations (34% saved)
| Inputs |
|---|
-1 |
1 |
-1 |
1 |
(*.f64 -1/2 y) |
(/.f64 y (+.f64 y -2)) |
(+.f64 1 (/.f64 2 y)) |
(/.f64 x (-.f64 2 x)) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(*.f64 y (/.f64 1 (+.f64 -2 y))) |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
| Outputs |
|---|
1 |
(-.f64 (*.f64 2 (/.f64 y x)) 1) |
(/.f64 y (+.f64 y -2)) |
(/.f64 x (-.f64 2 x)) |
(/.f64 y (+.f64 y -2)) |
(/.f64 x (-.f64 2 x)) |
1 |
2 calls:
| 93.0ms | y |
| 77.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.4b | 5 | x |
| 10.5b | 7 | y |
Compiled 50 to 36 computations (28% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 67.0ms | 3.4004448633078727e+41 | 6.167303841317723e+41 |
| 30.0ms | 1966594.4482695544 | 32230738555.429523 |
| 80.0ms | 4.447487254923756e-46 | 7.702484349763126e-13 |
| 29.0ms | -5.338008206742224e-61 | -3.774360431730058e-69 |
| 48.0ms | -530072407084116.56 | -304127.62288789934 |
| 34.0ms | -2.790628277974997e+57 | -1.0110838803573737e+56 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
-1 |
1 |
-1 |
1 |
(*.f64 -1/2 y) |
(/.f64 y (+.f64 y -2)) |
(+.f64 1 (/.f64 2 y)) |
(/.f64 x (-.f64 2 x)) |
(/.f64 (neg.f64 y) (-.f64 2 y)) |
(*.f64 y (/.f64 1 (+.f64 -2 y))) |
| Outputs |
|---|
1 |
(/.f64 x (-.f64 2 x)) |
(/.f64 y (+.f64 y -2)) |
(/.f64 x (-.f64 2 x)) |
(/.f64 y (+.f64 y -2)) |
(/.f64 x (-.f64 2 x)) |
1 |
2 calls:
| 105.0ms | y |
| 104.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.4b | 5 | x |
| 10.6b | 7 | y |
Compiled 43 to 31 computations (27.9% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 3.4004448633078727e+41 | 6.167303841317723e+41 |
| 32.0ms | 1966594.4482695544 | 32230738555.429523 |
| 34.0ms | 4.447487254923756e-46 | 7.702484349763126e-13 |
| 33.0ms | -5.338008206742224e-61 | -3.774360431730058e-69 |
| 31.0ms | -530072407084116.56 | -304127.62288789934 |
| 32.0ms | -1.5828282294461644e+51 | -2.7283929530354504e+48 |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
-1 |
1 |
-1 |
1 |
(*.f64 -1/2 y) |
(/.f64 y (+.f64 y -2)) |
(+.f64 1 (/.f64 2 y)) |
| Outputs |
|---|
-1 |
(/.f64 y (+.f64 y -2)) |
-1 |
2 calls:
| 69.0ms | y |
| 39.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 15.0b | 3 | x |
| 18.2b | 7 | y |
Compiled 25 to 19 computations (24% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 1.4919194996068743e+78 | 1.0055473454000441e+79 |
| 34.0ms | -561953328597.0264 | -2.650146347579874 |
Compiled 16 to 11 computations (31.3% saved)
Total -42.1b remaining (-201.5%)
Threshold costs -42.1b (-201.5%)
| Inputs |
|---|
-1 |
1 |
-1 |
1 |
(*.f64 -1/2 y) |
| Outputs |
|---|
1 |
-1 |
1 |
2 calls:
| 84.0ms | x |
| 29.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 21.5b | 5 | x |
| 20.9b | 3 | y |
Compiled 15 to 12 computations (20% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 3.4004448633078727e+41 | 6.167303841317723e+41 |
| 32.0ms | -1.5828282294461644e+51 | -2.7283929530354504e+48 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | egg-herbie |
| 7× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 3× | *-commutative_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 199 |
| 1 | 59 | 199 |
| 2 | 67 | 199 |
| 3 | 71 | 199 |
| 4 | 73 | 199 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
(if (<=.f64 y -2790628277974996959225582979097975010642699321833777266688) 1 (if (<=.f64 y -8481158513345865/16) (-.f64 (*.f64 2 (/.f64 y x)) 1) (if (<=.f64 y -7726239032807773/14474011154664524427946373126085988481658748083205070504932198000989141204992) (/.f64 y (+.f64 y -2)) (if (<=.f64 y 5717469177035173/12855504354071922204335696738729300820177623950262342682411008) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 2111614709953225/1073741824) (/.f64 y (+.f64 y -2)) (if (<=.f64 y 340044486330787265081162471835388719661056) (/.f64 x (-.f64 2 x)) 1)))))) |
(if (<=.f64 y -1582828229446164403334772254803617024141192478064640) 1 (if (<=.f64 y -8481158513345865/16) (/.f64 x (-.f64 2 x)) (if (<=.f64 y -7726239032807773/14474011154664524427946373126085988481658748083205070504932198000989141204992) (/.f64 y (+.f64 y -2)) (if (<=.f64 y 5717469177035173/12855504354071922204335696738729300820177623950262342682411008) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 2111614709953225/1073741824) (/.f64 y (+.f64 y -2)) (if (<=.f64 y 340044486330787265081162471835388719661056) (/.f64 x (-.f64 2 x)) 1)))))) |
(if (<=.f64 x -575440208483355/1024) -1 (if (<=.f64 x 1491919499606874343719696195064914557462658484490418789955661815500905711140864) (/.f64 y (+.f64 y -2)) -1)) |
(if (<=.f64 y -1582828229446164403334772254803617024141192478064640) 1 (if (<=.f64 y 340044486330787265081162471835388719661056) -1 1)) |
-1 |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 (-.f64 2 x) y)) |
(if (<=.f64 y -2790628277974996959225582979097975010642699321833777266688) 1 (if (<=.f64 y -8481158513345865/16) (-.f64 (*.f64 2 (/.f64 y x)) 1) (if (<=.f64 y -7726239032807773/14474011154664524427946373126085988481658748083205070504932198000989141204992) (/.f64 y (+.f64 y -2)) (if (<=.f64 y 5717469177035173/12855504354071922204335696738729300820177623950262342682411008) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 2111614709953225/1073741824) (/.f64 y (+.f64 y -2)) (if (<=.f64 y 340044486330787265081162471835388719661056) (/.f64 x (-.f64 2 x)) 1)))))) |
(if (<=.f64 y -2790628277974996959225582979097975010642699321833777266688) 1 (if (<=.f64 y -8481158513345865/16) (+.f64 (*.f64 2 (/.f64 y x)) -1) (if (<=.f64 y -7726239032807773/14474011154664524427946373126085988481658748083205070504932198000989141204992) (/.f64 y (+.f64 y -2)) (if (<=.f64 y 5717469177035173/12855504354071922204335696738729300820177623950262342682411008) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 2111614709953225/1073741824) (/.f64 y (+.f64 y -2)) (if (<=.f64 y 340044486330787265081162471835388719661056) (/.f64 x (-.f64 2 x)) 1)))))) |
(if (<=.f64 y -1582828229446164403334772254803617024141192478064640) 1 (if (<=.f64 y -8481158513345865/16) (/.f64 x (-.f64 2 x)) (if (<=.f64 y -7726239032807773/14474011154664524427946373126085988481658748083205070504932198000989141204992) (/.f64 y (+.f64 y -2)) (if (<=.f64 y 5717469177035173/12855504354071922204335696738729300820177623950262342682411008) (/.f64 x (-.f64 2 x)) (if (<=.f64 y 2111614709953225/1073741824) (/.f64 y (+.f64 y -2)) (if (<=.f64 y 340044486330787265081162471835388719661056) (/.f64 x (-.f64 2 x)) 1)))))) |
(if (<=.f64 x -575440208483355/1024) -1 (if (<=.f64 x 1491919499606874343719696195064914557462658484490418789955661815500905711140864) (/.f64 y (+.f64 y -2)) -1)) |
(if (<=.f64 y -1582828229446164403334772254803617024141192478064640) 1 (if (<=.f64 y 340044486330787265081162471835388719661056) -1 1)) |
-1 |
Compiled 152 to 110 computations (27.6% 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 142 to 100 computations (29.6% saved)
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