Time bar (total: 4.0s)
| 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 |
| 0% | 99.9% | 0.1% | 5 |
| 0% | 99.9% | 0.1% | 6 |
| 12.5% | 87.4% | 0.1% | 7 |
| 18.7% | 81.1% | 0.1% | 8 |
| 25% | 74.1% | 0.9% | 9 |
| 35.9% | 62.2% | 1.9% | 10 |
| 42.1% | 55.5% | 2.4% | 11 |
| 48% | 47.2% | 4.8% | 12 |
| 55% | 38.4% | 6.6% | 13 |
| 58.9% | 32.7% | 8.4% | 14 |
Compiled 16 to 11 computations (31.3% saved)
| 1.0s | 8256× | body | 128 | valid |
| 152.0ms | 1324× | body | 128 | invalid |
Compiled 32 to 22 computations (31.3% saved)
| 2× | egg-herbie |
| 802× | times-frac_binary64 |
| 679× | fma-neg_binary64 |
| 418× | fma-def_binary64 |
| 329× | cancel-sign-sub-inv_binary64 |
| 220× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 72 |
| 1 | 71 | 72 |
| 2 | 154 | 72 |
| 3 | 269 | 72 |
| 4 | 474 | 64 |
| 5 | 890 | 64 |
| 6 | 1410 | 64 |
| 7 | 2303 | 64 |
| 0 | 3 | 3 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
2 |
| Inputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y))) |
| Outputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (/.f64 (*.f64 x z) y))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))) |
(fabs.f64 (-.f64 (/.f64 (*.f64 x z) y) (/.f64 (+.f64 x 4) y))) |
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) |
(fabs.f64 (*.f64 (/.f64 1 y) (fma.f64 x z (-.f64 -4 x)))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 y 4) x) (*.f64 (/.f64 y x) z))) |
(fabs.f64 (-.f64 (/.f64 (*.f64 y z) x) (/.f64 (+.f64 4 y) x))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 4 y) x) (*.f64 z (/.f64 y x)))) |
(fabs.f64 (-.f64 (*.f64 (/.f64 z x) y) (/.f64 (+.f64 4 y) x))) |
(fabs.f64 (fma.f64 z (/.f64 y x) (/.f64 (-.f64 -4 y) x))) |
(fabs.f64 (fma.f64 y (/.f64 z x) (/.f64 (-.f64 -4 y) x))) |
(fabs.f64 (*.f64 (/.f64 1 x) (fma.f64 y z (-.f64 -4 y)))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 z 4) y) (*.f64 (/.f64 z y) x))) |
(fabs.f64 (-.f64 (*.f64 x (/.f64 z y)) (/.f64 (+.f64 4 z) y))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 4 z) y) (*.f64 x (/.f64 z y)))) |
(fabs.f64 (-.f64 (/.f64 (*.f64 x z) y) (/.f64 (+.f64 4 z) y))) |
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 z) y))) |
(fabs.f64 (*.f64 (/.f64 1 y) (fma.f64 x z (-.f64 -4 z)))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 (/.f64 x z) y))) |
(fabs.f64 (-.f64 (*.f64 y (/.f64 x z)) (/.f64 (+.f64 x 4) z))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) z) (*.f64 y (/.f64 x z)))) |
(fabs.f64 (fma.f64 y (/.f64 x z) (/.f64 (-.f64 -4 x) z))) |
(fabs.f64 (fma.f64 x (/.f64 y z) (/.f64 (-.f64 -4 x) z))) |
(fabs.f64 (*.f64 (/.f64 1 z) (fma.f64 x y (-.f64 -4 x)))) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
| 1128× | fma-def_binary64 |
| 1073× | fma-neg_binary64 |
| 226× | cancel-sign-sub-inv_binary64 |
| 222× | distribute-rgt-in_binary64 |
| 162× | distribute-lft-in_binary64 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 18 |
| 1 | 22 | 18 |
| 2 | 46 | 18 |
| 3 | 78 | 18 |
| 4 | 141 | 16 |
| 5 | 274 | 16 |
| 6 | 443 | 16 |
| 7 | 744 | 16 |
| 8 | 1785 | 13 |
| 9 | 3544 | 13 |
| 10 | 4642 | 13 |
| 11 | 4838 | 13 |
| 12 | 4935 | 13 |
| 13 | 4935 | 13 |
| 1× | saturated |
| Inputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
| Outputs |
|---|
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
(fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 z y) x))) |
(fabs.f64 (fma.f64 (/.f64 x y) z (/.f64 (-.f64 -4 x) y))) |
(fabs.f64 (fma.f64 x (/.f64 z y) (/.f64 (-.f64 -4 x) y))) |
(fabs.f64 (*.f64 (/.f64 1 y) (fma.f64 x z (-.f64 -4 x)))) |
(fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 1.5b | (fabs.f64 (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))) |
| 2.8b | (fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) |
Compiled 78 to 51 computations (34.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x 4) y) |
| ✓ | 0.0b | (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) |
| ✓ | 3.3b | (*.f64 (/.f64 x y) z) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (/.f64 (+.f64 x 4) y) |
| 2.0ms | x | @ | 0 | (*.f64 (/.f64 x y) z) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) |
| 1.0ms | y | @ | 0 | (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 x y) z) |
| 1× | batch-egg-rewrite |
| 334× | fma-def_binary64 |
| 220× | expm1-udef_binary64 |
| 220× | log1p-udef_binary64 |
| 202× | fma-neg_binary64 |
| 175× | log-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 236 | 27 |
| 2 | 3548 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) z) |
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z)) |
(/.f64 (+.f64 x 4) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x z)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) z))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x 4) y) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) (fma.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 1 (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (/.f64 x y) z))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) z)) 2) (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) (fma.f64 (/.f64 (neg.f64 x) y) z (*.f64 (/.f64 x y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 2) (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) (sqrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)) (/.f64 1 (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)) (/.f64 1 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))) (-.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (*.f64 (/.f64 x y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2)) (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3)) (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2)) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) z) 3))) (neg.f64 (fma.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y)) (pow.f64 (/.f64 (+.f64 x 4) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (pow.f64 (*.f64 (/.f64 x y) z) 2))) (neg.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x 4) y) (*.f64 y (*.f64 x z))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 y (*.f64 (/.f64 y (+.f64 x 4)) (*.f64 x z))) (*.f64 (/.f64 y (+.f64 x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 -1 x -4) y) (*.f64 (neg.f64 y) (*.f64 x z))) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) (pow.f64 (*.f64 (/.f64 x y) (neg.f64 z)) 3)) (+.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (-.f64 (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (*.f64 (/.f64 x y) (neg.f64 z))) (*.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2) (*.f64 (*.f64 (/.f64 x y) (neg.f64 z)) (*.f64 (/.f64 x y) (neg.f64 z)))) (-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y) 2))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 4) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 4) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 4) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (*.f64 (cbrt.f64 (+.f64 x 4)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 2) (cbrt.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4)) (*.f64 (sqrt.f64 (+.f64 x 4)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) (sqrt.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x -4) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x 4) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 x 4) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x 4)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 4) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 x 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 4) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4) y))))))) |
| 1× | egg-herbie |
| 715× | fma-neg_binary64 |
| 463× | fma-def_binary64 |
| 225× | distribute-rgt-in_binary64 |
| 199× | cancel-sign-sub-inv_binary64 |
| 195× | distribute-lft-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 1102 |
| 1 | 96 | 1042 |
| 2 | 216 | 1042 |
| 3 | 529 | 1042 |
| 4 | 1245 | 790 |
| 5 | 2800 | 790 |
| 6 | 3517 | 790 |
| 7 | 3701 | 790 |
| 8 | 3776 | 790 |
| 9 | 3776 | 790 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
(/.f64 (+.f64 4 x) y) |
| Outputs |
|---|
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) |
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))) |
(-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x) |
(*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y))) |
(-.f64 (/.f64 x y) (/.f64 z (/.f64 y x))) |
(*.f64 (/.f64 x y) (-.f64 1 z)) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) x)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 (+.f64 4 x) (*.f64 z x)) y) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (+.f64 4 x)) (*.f64 -1 (*.f64 z x))) y)) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(/.f64 (neg.f64 (*.f64 z x)) y) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (/.f64 4 y) (*.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)))) |
(fma.f64 x (-.f64 (/.f64 1 y) (/.f64 z y)) (/.f64 4 y)) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 4 y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(/.f64 x y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(/.f64 x y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
(/.f64 (+.f64 4 x) y) |
(+.f64 (/.f64 4 y) (/.f64 x y)) |
(/.f64 (+.f64 x 4) y) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 192 | 2 | 194 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 193 | 3 | 196 |
| Status | Error | Program |
|---|---|---|
| 3.9b | (fabs.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))) | |
| ▶ | 2.4b | (fabs.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x 4) (cbrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))) |
| 2.8b | (fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) |
Compiled 4092 to 1998 computations (51.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (+.f64 x 4) (cbrt.f64 y)) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 y) 2) |
| ✓ | 0.5b | (cbrt.f64 y) |
| ✓ | 3.3b | (*.f64 (/.f64 x y) (neg.f64 z)) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | y | @ | -inf | (pow.f64 (cbrt.f64 y) 2) |
| 2.0ms | y | @ | inf | (cbrt.f64 y) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 x 4) (cbrt.f64 y)) |
| 1.0ms | y | @ | -inf | (cbrt.f64 y) |
| 1.0ms | y | @ | -inf | (/.f64 (+.f64 x 4) (cbrt.f64 y)) |
| 1× | batch-egg-rewrite |
| 228× | expm1-udef_binary64 |
| 228× | log1p-udef_binary64 |
| 142× | add-sqr-sqrt_binary64 |
| 137× | pow1_binary64 |
| 136× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 27 |
| 1 | 288 | 25 |
| 2 | 3815 | 25 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (neg.f64 z)) |
(cbrt.f64 y) |
(pow.f64 (cbrt.f64 y) 2) |
(/.f64 (+.f64 x 4) (cbrt.f64 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (/.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 y z)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 (sqrt.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 y (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/6) (*.f64 (pow.f64 y 1/6) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 y) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 4) (pow.f64 (cbrt.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 4) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (*.f64 (cbrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) 2) (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 4)) (*.f64 (sqrt.f64 (+.f64 x 4)) (pow.f64 (cbrt.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) (sqrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x -4) (/.f64 1 (neg.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -1) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 4)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) 1) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 (+.f64 x 4) (cbrt.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (/.f64 (sqrt.f64 (+.f64 x 4)) (cbrt.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 y 1/6)) (/.f64 (+.f64 x 4) (pow.f64 y 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 4)) 2) (pow.f64 y 1/6)) (/.f64 (cbrt.f64 (+.f64 x 4)) (pow.f64 y 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 y) (+.f64 x 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 4) (neg.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 4) 3) y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 4) (cbrt.f64 y)))))))) |
| 1× | egg-herbie |
| 859× | fma-def_binary64 |
| 818× | unswap-sqr_binary64 |
| 216× | *-commutative_binary64 |
| 203× | associate-*l*_binary64 |
| 192× | sqr-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 513 |
| 1 | 35 | 459 |
| 2 | 74 | 459 |
| 3 | 160 | 459 |
| 4 | 348 | 459 |
| 5 | 897 | 459 |
| 6 | 1347 | 459 |
| 7 | 1763 | 459 |
| 8 | 3093 | 459 |
| 9 | 3358 | 459 |
| 10 | 3903 | 459 |
| 11 | 4373 | 459 |
| 12 | 4815 | 459 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(*.f64 4 (pow.f64 (/.f64 1 y) 1/3)) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(*.f64 (pow.f64 (/.f64 1 y) 1/3) x) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(*.f64 (pow.f64 (/.f64 1 y) 1/3) x) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
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(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
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(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
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(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(*.f64 4 (pow.f64 (/.f64 1 y) 1/3)) |
(*.f64 4 (cbrt.f64 (/.f64 1 y))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(fma.f64 (cbrt.f64 (/.f64 1 y)) x (*.f64 4 (cbrt.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 4 x)) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 x 4)) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(fma.f64 (cbrt.f64 (/.f64 1 y)) x (*.f64 4 (cbrt.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 4 x)) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 x 4)) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(fma.f64 (cbrt.f64 (/.f64 1 y)) x (*.f64 4 (cbrt.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 4 x)) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 x 4)) |
(*.f64 (pow.f64 (/.f64 1 y) 1/3) x) |
(*.f64 x (cbrt.f64 (/.f64 1 y))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(fma.f64 (cbrt.f64 (/.f64 1 y)) x (*.f64 4 (cbrt.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 4 x)) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 x 4)) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(fma.f64 (cbrt.f64 (/.f64 1 y)) x (*.f64 4 (cbrt.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 4 x)) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 x 4)) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(fma.f64 (cbrt.f64 (/.f64 1 y)) x (*.f64 4 (cbrt.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 4 x)) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 x 4)) |
(*.f64 (pow.f64 (/.f64 1 y) 1/3) x) |
(*.f64 x (cbrt.f64 (/.f64 1 y))) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(fma.f64 (cbrt.f64 (/.f64 1 y)) x (*.f64 4 (cbrt.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 4 x)) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 x 4)) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(fma.f64 (cbrt.f64 (/.f64 1 y)) x (*.f64 4 (cbrt.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 4 x)) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 x 4)) |
(+.f64 (*.f64 (pow.f64 (/.f64 1 y) 1/3) x) (*.f64 4 (pow.f64 (/.f64 1 y) 1/3))) |
(fma.f64 (cbrt.f64 (/.f64 1 y)) x (*.f64 4 (cbrt.f64 (/.f64 1 y)))) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 4 x)) |
(*.f64 (cbrt.f64 (/.f64 1 y)) (+.f64 x 4)) |
3 alts after pruning (2 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 133 | 0 | 133 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 133 | 3 | 136 |
| Status | Error | Program |
|---|---|---|
| 3.9b | (fabs.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))) | |
| ✓ | 2.4b | (fabs.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x 4) (cbrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))) |
| ▶ | 2.8b | (fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) |
Compiled 3223 to 1695 computations (47.4% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.7b | (/.f64 (-.f64 (fma.f64 x z -4) x) y) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (/.f64 (-.f64 (fma.f64 x z -4) x) y) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (fma.f64 x z -4) x) y) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (fma.f64 x z -4) x) y) |
| 1.0ms | z | @ | -inf | (/.f64 (-.f64 (fma.f64 x z -4) x) y) |
| 1.0ms | z | @ | inf | (/.f64 (-.f64 (fma.f64 x z -4) x) y) |
| 1× | batch-egg-rewrite |
| 541× | prod-diff_binary64 |
| 232× | fma-def_binary64 |
| 171× | expm1-udef_binary64 |
| 171× | log1p-udef_binary64 |
| 169× | egg-rr |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 180 | 11 |
| 2 | 2587 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (fma.f64 x z -4) x) y) |
| Outputs |
|---|
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(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x z -4)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (fma.f64 x z -4)) (sqrt.f64 y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fma.f64 x z -4)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (fma.f64 x z -4)) (sqrt.f64 y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y))))))) |
| 1× | egg-herbie |
| 1174× | fma-def_binary64 |
| 703× | fma-neg_binary64 |
| 188× | cancel-sign-sub-inv_binary64 |
| 186× | distribute-rgt-in_binary64 |
| 144× | distribute-lft-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 617 |
| 1 | 81 | 557 |
| 2 | 184 | 375 |
| 3 | 392 | 375 |
| 4 | 884 | 375 |
| 5 | 1946 | 375 |
| 6 | 3588 | 375 |
| 7 | 4176 | 375 |
| 8 | 4284 | 375 |
| 9 | 4286 | 375 |
| 10 | 4286 | 375 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -4 y) |
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y))) |
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y))) |
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y))) |
(/.f64 (*.f64 (-.f64 z 1) x) y) |
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y))) |
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y))) |
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y))) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y))) |
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y))) |
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y))) |
(*.f64 -1 (/.f64 (+.f64 4 x) y)) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(/.f64 (*.f64 z x) y) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(/.f64 (*.f64 z x) y) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
| Outputs |
|---|
(/.f64 -4 y) |
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(-.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x) (*.f64 4 (/.f64 1 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(/.f64 (*.f64 (-.f64 z 1) x) y) |
(/.f64 (+.f64 z -1) (/.f64 y x)) |
(*.f64 (/.f64 (+.f64 z -1) y) x) |
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(-.f64 (/.f64 (*.f64 (-.f64 z 1) x) y) (*.f64 4 (/.f64 1 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) |
(/.f64 (+.f64 z -1) (/.f64 y x)) |
(*.f64 (/.f64 (+.f64 z -1) y) x) |
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(-.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y)) (*.f64 4 (/.f64 1 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(*.f64 -1 (/.f64 (+.f64 4 x) y)) |
(neg.f64 (/.f64 (+.f64 x 4) y)) |
(/.f64 (+.f64 -4 (neg.f64 x)) y) |
(/.f64 (-.f64 -4 x) y) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 x y) z) |
(*.f64 z (/.f64 x y)) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(/.f64 (*.f64 z x) y) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 x y) z) |
(*.f64 z (/.f64 x y)) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(+.f64 (/.f64 (*.f64 z x) y) (*.f64 -1 (/.f64 (+.f64 4 x) y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
(/.f64 (-.f64 (*.f64 z x) (+.f64 4 x)) y) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (neg.f64 (/.f64 4 y))) |
(fma.f64 (-.f64 (/.f64 z y) (/.f64 1 y)) x (/.f64 -4 y)) |
(/.f64 (fma.f64 z x (-.f64 -4 x)) y) |
(/.f64 (-.f64 (fma.f64 z x -4) x) y) |
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 0 | 183 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 183 | 3 | 186 |
| Status | Error | Program |
|---|---|---|
| ▶ | 3.9b | (fabs.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))) |
| ✓ | 2.4b | (fabs.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x 4) (cbrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))) |
| ✓ | 2.8b | (fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) |
Compiled 7175 to 3394 computations (52.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 1 y) (/.f64 z y)) |
| ✓ | 0.0b | (+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
| ✓ | 3.8b | (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) |
| 2.0ms | z | @ | -inf | (-.f64 (/.f64 1 y) (/.f64 z y)) |
| 1.0ms | y | @ | 0 | (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) |
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) |
| 1.0ms | y | @ | inf | (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) |
| 1× | batch-egg-rewrite |
| 285× | fma-neg_binary64 |
| 240× | expm1-udef_binary64 |
| 240× | log1p-udef_binary64 |
| 137× | add-sqr-sqrt_binary64 |
| 133× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 33 |
| 1 | 272 | 31 |
| 2 | 3978 | 31 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) |
(+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x)) |
(-.f64 (/.f64 1 y) (/.f64 z y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 y) x) (*.f64 (/.f64 (neg.f64 z) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 y)) (*.f64 x (/.f64 (neg.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 y (*.f64 y z)) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 z) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y -3) (pow.f64 (/.f64 z y) 3)) x) (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (/.f64 z y) 2) (/.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 y -2) (pow.f64 (/.f64 z y) 2)) x) (+.f64 (/.f64 1 y) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 y (*.f64 y z))) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 y -3) (pow.f64 (/.f64 z y) 3))) (+.f64 (pow.f64 y -2) (+.f64 (pow.f64 (/.f64 z y) 2) (/.f64 z (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 (pow.f64 y -2) (pow.f64 (/.f64 z y) 2))) (+.f64 (/.f64 1 y) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (-.f64 1 z) y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 z) y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 z) y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 z) y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 z) y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 1 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 z) y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 1 z) y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 1 z) y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 1 z) y) x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 16 (pow.f64 y -2)) (-.f64 (/.f64 4 y) (*.f64 (/.f64 (-.f64 1 z) y) x))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 1 z) y) x) 2) (-.f64 (/.f64 4 y) (*.f64 (/.f64 (-.f64 1 z) y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 z) y) x (/.f64 4 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 1 z) y) x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (/.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (*.f64 (/.f64 (neg.f64 z) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 z) y) (fma.f64 (/.f64 (neg.f64 z) y) 1 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 z) y) (fma.f64 (neg.f64 (/.f64 1 y)) z (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 z) y) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 z y)) 2) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 z) y) (+.f64 (/.f64 (neg.f64 z) y) (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 z) y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 z) y) 1)))) 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| 1× | egg-herbie |
| 781× | fma-neg_binary64 |
| 406× | fma-def_binary64 |
| 222× | distribute-rgt-in_binary64 |
| 153× | unsub-neg_binary64 |
| 148× | distribute-lft-in_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 720 |
| 1 | 88 | 678 |
| 2 | 189 | 678 |
| 3 | 437 | 678 |
| 4 | 1057 | 678 |
| 5 | 2441 | 675 |
| 6 | 3392 | 675 |
| 7 | 3615 | 675 |
| 8 | 3639 | 675 |
| 9 | 3639 | 675 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y) |
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y) |
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y) |
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y) |
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) 1) x)) 4) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) 1) x)) 4) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) 1) x)) 4) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) 1) x)) 4) y)) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(/.f64 4 y) |
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) |
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (+.f64 (*.f64 -1 z) 1) y) |
(/.f64 (+.f64 (*.f64 -1 z) 1) y) |
(/.f64 (+.f64 (*.f64 -1 z) 1) y) |
(/.f64 (+.f64 (*.f64 -1 z) 1) y) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(*.f64 -1 (/.f64 z y)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(*.f64 -1 (/.f64 z y)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(/.f64 (*.f64 (-.f64 1 z) x) y) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(/.f64 (*.f64 (+.f64 (*.f64 -1 z) 1) x) y) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (/.f64 x y)) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 (+.f64 4 (*.f64 (-.f64 1 z) x)) y) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) 1) x)) 4) y)) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) 1) x)) 4) y)) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) 1) x)) 4) y)) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 z) 1) x)) 4) y)) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(+.f64 (*.f64 4 (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 4 y)) |
(-.f64 (/.f64 x y) (/.f64 -4 y)) |
(/.f64 (+.f64 x 4) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(*.f64 -1 (/.f64 (*.f64 z x) y)) |
(neg.f64 (/.f64 z (/.f64 y x))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(*.f64 x (/.f64 (neg.f64 z) y)) |
(*.f64 z (/.f64 (neg.f64 x) y)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 z x) y)) (+.f64 (/.f64 x y) (*.f64 4 (/.f64 1 y)))) |
(/.f64 (+.f64 (*.f64 x (-.f64 1 z)) 4) y) |
(/.f64 (fma.f64 x (-.f64 1 z) 4) y) |
(/.f64 (-.f64 x (fma.f64 z x -4)) y) |
(/.f64 4 y) |
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x) |
(/.f64 (*.f64 x (-.f64 1 z)) y) |
(*.f64 x (/.f64 (-.f64 1 z) y)) |
(*.f64 (-.f64 1 z) (/.f64 x y)) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (+.f64 (*.f64 -1 z) 1) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (+.f64 (*.f64 -1 z) 1) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (+.f64 (*.f64 -1 z) 1) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 (+.f64 (*.f64 -1 z) 1) y) |
(/.f64 (-.f64 1 z) y) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 1 z) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 1 z) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 1 z) y) |
(*.f64 -1 (/.f64 z y)) |
(/.f64 (neg.f64 z) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 1 z) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 1 z) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 1 z) y) |
(*.f64 -1 (/.f64 z y)) |
(/.f64 (neg.f64 z) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 1 z) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 1 z) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 z y))) |
(/.f64 (-.f64 1 z) y) |
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 143 | 0 | 143 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 143 | 3 | 146 |
| Status | Error | Program |
|---|---|---|
| ✓ | 3.9b | (fabs.f64 (+.f64 (*.f64 4 (/.f64 1 y)) (*.f64 (-.f64 (/.f64 1 y) (/.f64 z y)) x))) |
| ✓ | 2.4b | (fabs.f64 (fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x 4) (cbrt.f64 y)) (*.f64 (/.f64 x y) (neg.f64 z)))) |
| ✓ | 2.8b | (fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) |
Compiled 2910 to 1925 computations (33.8% saved)
Total 0.2b remaining (87.7%)
Threshold costs 0.2b (87.7%)
Compiled 1480 to 839 computations (43.3% saved)
| 2× | binary-search |
2 calls:
| 30.0ms | x |
| 3.0ms | x |
| Iters | Point | Range | ||||
|---|---|---|---|---|---|---|
2e-72 | ∈ [ | 1.2604739392420702e-76 | , | 5.459667202923989e-71 | ] | |
-10000.0 | ∈ [ | -65064.87594694929 | , | -23.52927704698068 | ] | |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
| 45× | cancel-sign-sub-inv_binary64 |
| 32× | distribute-rgt-neg-in_binary64 |
| 24× | distribute-neg-in_binary64 |
| 24× | sub-neg_binary64 |
| 21× | neg-sub0_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 69 |
| 1 | 47 | 69 |
| 2 | 80 | 65 |
| 3 | 111 | 65 |
| 4 | 148 | 65 |
| 5 | 185 | 65 |
| 6 | 229 | 65 |
| 7 | 259 | 65 |
| 8 | 279 | 65 |
| 9 | 288 | 65 |
| 10 | 305 | 65 |
| 11 | 317 | 65 |
| 12 | 325 | 65 |
| 13 | 338 | 65 |
| 14 | 341 | 65 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x -10000) (fabs.f64 (-.f64 (neg.f64 (/.f64 (+.f64 x 4) (neg.f64 y))) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) (fabs.f64 (-.f64 (neg.f64 (/.f64 (+.f64 x 4) (neg.f64 y))) (*.f64 (/.f64 x y) z))))) |
| Outputs |
|---|
(if (<=.f64 x -10000) (fabs.f64 (-.f64 (neg.f64 (/.f64 (+.f64 x 4) (neg.f64 y))) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) (fabs.f64 (-.f64 (neg.f64 (/.f64 (+.f64 x 4) (neg.f64 y))) (*.f64 (/.f64 x y) z))))) |
(if (<=.f64 x -10000) (fabs.f64 (-.f64 (/.f64 (neg.f64 (+.f64 x 4)) (neg.f64 y)) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) (fabs.f64 (-.f64 (/.f64 (neg.f64 (+.f64 x 4)) (neg.f64 y)) (*.f64 (/.f64 x y) z))))) |
(if (<=.f64 x -10000) (fabs.f64 (-.f64 (/.f64 (+.f64 -4 (neg.f64 x)) (neg.f64 y)) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) (fabs.f64 (-.f64 (/.f64 (+.f64 -4 (neg.f64 x)) (neg.f64 y)) (*.f64 (/.f64 x y) z))))) |
(if (<=.f64 x -10000) (fabs.f64 (-.f64 (/.f64 (-.f64 -4 x) (neg.f64 y)) (*.f64 (/.f64 x y) z))) (if (<=.f64 x 3978585891278293/1989292945639146568621528992587283360401824603189390869761855907572637988050133502132224) (fabs.f64 (/.f64 (-.f64 (fma.f64 x z -4) x) y)) (fabs.f64 (-.f64 (/.f64 (-.f64 -4 x) (neg.f64 y)) (*.f64 (/.f64 x y) z))))) |
| 1× | done |
Compiled 146 to 92 computations (37% saved)
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