Time bar (total: 5.2s)
| 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 |
| 25% | 74.9% | 0.1% | 5 |
| 37.5% | 62.4% | 0.1% | 6 |
| 56.2% | 43.7% | 0.1% | 7 |
| 65.6% | 34.3% | 0.1% | 8 |
| 76.5% | 23.4% | 0.1% | 9 |
| 82% | 18% | 0.1% | 10 |
| 87.8% | 12.1% | 0.1% | 11 |
| 90.7% | 9.2% | 0.1% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 920.0ms | 7956× | body | 256 | valid |
| 181.0ms | 113× | body | 2048 | valid |
| 25.0ms | 109× | body | 1024 | valid |
| 14.0ms | 78× | body | 512 | valid |
| 0.0ms | 1× | body | 256 | invalid |
| 2× | egg-herbie |
| 128× | fma-neg_binary64 |
| 44× | fma-def_binary64 |
| 40× | cancel-sign-sub-inv_binary64 |
| 34× | sub-neg_binary64 |
| 21× | associate--r+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 24 |
| 1 | 20 | 24 |
| 2 | 28 | 24 |
| 3 | 40 | 24 |
| 4 | 70 | 24 |
| 5 | 141 | 24 |
| 6 | 188 | 24 |
| 7 | 292 | 24 |
| 8 | 355 | 20 |
| 9 | 418 | 20 |
| 10 | 490 | 20 |
| 11 | 535 | 20 |
| 12 | 548 | 20 |
| 13 | 553 | 20 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(+.f64 y (/.f64 (fabs.f64 (-.f64 x y)) 2)) |
| Outputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
(+.f64 y (/.f64 (fabs.f64 (-.f64 x y)) 2)) |
(+.f64 y (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(+.f64 y (*.f64 1/2 (fabs.f64 (-.f64 y x)))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) y) |
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 y) |
Compiled 12 to 9 computations (25% saved)
| 1× | egg-herbie |
| 97× | fma-neg_binary64 |
| 34× | fma-def_binary64 |
| 32× | cancel-sign-sub-inv_binary64 |
| 28× | sub-neg_binary64 |
| 17× | distribute-rgt-neg-in_binary64 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 13 | 12 |
| 2 | 20 | 12 |
| 3 | 29 | 12 |
| 4 | 50 | 12 |
| 5 | 106 | 12 |
| 6 | 163 | 12 |
| 7 | 211 | 12 |
| 8 | 275 | 10 |
| 9 | 320 | 10 |
| 10 | 379 | 10 |
| 11 | 424 | 10 |
| 12 | 447 | 10 |
| 13 | 455 | 10 |
| 14 | 460 | 10 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| Outputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 (fabs.f64 (-.f64 y x)) 1/2 x) |
Compiled 17 to 9 computations (47.1% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
Compiled 10 to 7 computations (30% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
Compiled 26 to 10 computations (61.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 1.0ms | x | @ | inf | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 1.0ms | x | @ | -inf | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 1.0ms | y | @ | inf | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 1.0ms | x | @ | 0 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 1× | batch-egg-rewrite |
| 548× | unpow-prod-down_binary64 |
| 395× | log-prod_binary64 |
| 381× | fma-def_binary64 |
| 266× | pow-prod-down_binary64 |
| 234× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 12 |
| 1 | 191 | 8 |
| 2 | 2869 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y x) 1/2))) (/.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (-.f64 x (*.f64 (-.f64 y x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (pow.f64 (/.f64 1 (-.f64 x (*.f64 (-.f64 y x) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 y x) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 y x) 1/2 x) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (-.f64 y x) 2) 1/4 (-.f64 (*.f64 x x) (*.f64 x (*.f64 (-.f64 y x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) (neg.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) (neg.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) (*.f64 x x)) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y x) 1/2) (fma.f64 (-.f64 y x) 1/2 (neg.f64 x)) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 y x) 3) 1/8 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 y x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 y x) 1/2))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y x) 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 y x) 1/2) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 y x) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 y x)) 2) (*.f64 (cbrt.f64 (-.f64 y x)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (cbrt.f64 (*.f64 (-.f64 y x) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y x)) (*.f64 (sqrt.f64 (-.f64 y x)) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) (sqrt.f64 (*.f64 (-.f64 y x) 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 y x)) -1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (-.f64 y x) x))))) |
| 1× | egg-herbie |
| 84× | fma-neg_binary64 |
| 62× | fma-def_binary64 |
| 29× | cancel-sign-sub-inv_binary64 |
| 23× | sub-neg_binary64 |
| 21× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 221 |
| 1 | 45 | 221 |
| 2 | 68 | 221 |
| 3 | 115 | 221 |
| 4 | 181 | 221 |
| 5 | 214 | 221 |
| 6 | 286 | 221 |
| 7 | 338 | 221 |
| 8 | 387 | 221 |
| 9 | 415 | 221 |
| 10 | 422 | 221 |
| 11 | 427 | 221 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/2 (fabs.f64 (-.f64 y x))) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
x |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
x |
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
| Outputs |
|---|
(*.f64 1/2 (fabs.f64 (-.f64 y x))) |
(*.f64 1/2 (fabs.f64 (-.f64 x y))) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
x |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
x |
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (+.f64 y (*.f64 -1 x)))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (-.f64 y x))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
(+.f64 (*.f64 1/2 (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 y) x)))) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 y x)) x) |
(fma.f64 1/2 (fabs.f64 (-.f64 x y)) x) |
Compiled 1014 to 540 computations (46.7% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 68 | 4 | 72 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 68 | 5 | 73 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 56.7b | x | |
| ▶ | 29.2b | (*.f64 1/2 (fabs.f64 (-.f64 y x))) |
| ▶ | 47.0b | (/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
| ▶ | 30.6b | (fma.f64 (-.f64 y x) 1/2 x) |
Compiled 50 to 33 computations (34% saved)
Compiled 18 to 7 computations (61.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) |
| ✓ | 0.0b | (-.f64 x (*.f64 (-.f64 y x) 1/2)) |
| ✓ | 11.8b | (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) |
| ✓ | 28.3b | (/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
Compiled 67 to 32 computations (52.2% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) |
| 2.0ms | y | @ | 0 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
| 2.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
| 1.0ms | x | @ | -inf | (-.f64 x (*.f64 (-.f64 y x) 1/2)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
| 1× | batch-egg-rewrite |
| 807× | fma-def_binary64 |
| 348× | fma-neg_binary64 |
| 279× | expm1-udef_binary64 |
| 279× | log1p-udef_binary64 |
| 221× | log-pow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 64 |
| 1 | 338 | 44 |
| 2 | 4960 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
(-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) |
(-.f64 x (*.f64 (-.f64 y x) 1/2)) |
(*.f64 (pow.f64 (-.f64 y x) 2) 1/4) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y x) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) x)) (neg.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 y x) 2) (fma.f64 (-.f64 y x) -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) x)) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 y x) 2) (fma.f64 (-.f64 y x) -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (*.f64 (pow.f64 (-.f64 y x) 2) -1/4)) (/.f64 1 (fma.f64 (-.f64 y x) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 y x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 (-.f64 y x) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/16 (pow.f64 (-.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 (-.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 (-.f64 y x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 (-.f64 y x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (-.f64 y x) 1/2))) 1)))))) |
| 1× | egg-herbie |
| 764× | times-frac_binary64 |
| 620× | associate-*l*_binary64 |
| 457× | associate-/l*_binary64 |
| 347× | cancel-sign-sub-inv_binary64 |
| 336× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 155 | 1866 |
| 1 | 542 | 1571 |
| 2 | 1999 | 1400 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(*.f64 1/2 x) |
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/3 y)) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 1/3 y))) (+.f64 (*.f64 -1/6 y) (*.f64 -1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)))) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 -1/3 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 1/3 y)))) (+.f64 (*.f64 -1/6 y) (*.f64 -1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)))) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (-.f64 (*.f64 -1/3 y) (*.f64 1/6 y)))) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1/3 y) (*.f64 1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 -1/3 y) (*.f64 1/6 y)) y) x))) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1/3 y) (*.f64 1/6 y))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/3 y) (*.f64 1/6 y)) y))) y) (pow.f64 x 2))) (*.f64 -1/6 (/.f64 (pow.f64 y 2) x))))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 -1/3 y) (*.f64 1/6 y)) y) x))) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (-.f64 x (*.f64 -1/2 x))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2)))) y) (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x)))) (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x))))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2)))) y) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2)))) (-.f64 x (*.f64 -1/2 x)))) (*.f64 1/4 (/.f64 1 (-.f64 x (*.f64 -1/2 x))))))) (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x))))) (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x))))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2)))) (-.f64 x (*.f64 -1/2 x)))) (*.f64 1/4 (/.f64 1 (-.f64 x (*.f64 -1/2 x)))))) (-.f64 x (*.f64 -1/2 x)))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2)))) y) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2)))) (-.f64 x (*.f64 -1/2 x)))) (*.f64 1/4 (/.f64 1 (-.f64 x (*.f64 -1/2 x))))))) (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x)))))) (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x))))) |
(*.f64 1/2 y) |
(-.f64 (+.f64 (*.f64 1/2 y) (*.f64 -1 x)) (*.f64 -1 (-.f64 x (*.f64 -1/2 x)))) |
(-.f64 (+.f64 (*.f64 1/2 y) (+.f64 (*.f64 -1 x) (*.f64 -2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) y)))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 x (*.f64 -1/2 x))))) y)) (*.f64 -1 (-.f64 x (*.f64 -1/2 x))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 -2 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 -2 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 x (*.f64 -1/2 x)))))))) (pow.f64 y 2))) (+.f64 (*.f64 1/2 y) (+.f64 (*.f64 -1 x) (*.f64 -2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) y))))) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 x (*.f64 -1/2 x))))) y)) (*.f64 -1 (-.f64 x (*.f64 -1/2 x))))) |
(*.f64 1/2 y) |
(-.f64 (+.f64 (*.f64 1/2 y) (*.f64 -1 x)) (*.f64 -1 (-.f64 x (*.f64 -1/2 x)))) |
(-.f64 (+.f64 (*.f64 1/2 y) (+.f64 (*.f64 -1 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 2 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 x (*.f64 -1/2 x))))))) y)))) (*.f64 -1 (-.f64 x (*.f64 -1/2 x)))) |
(-.f64 (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 2 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 2 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 x (*.f64 -1/2 x)))))))) (pow.f64 y 2))) (+.f64 (*.f64 1/2 y) (+.f64 (*.f64 -1 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2)))) (*.f64 2 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 -1 x) (*.f64 -1 (-.f64 x (*.f64 -1/2 x))))))) y))))) (*.f64 -1 (-.f64 x (*.f64 -1/2 x)))) |
(*.f64 -1/4 (pow.f64 y 2)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2)))) |
(*.f64 3/4 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2)))) |
(*.f64 3/4 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2)))) |
(-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 1/2 (*.f64 y x)) (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 x 2))) |
(*.f64 -1/4 (pow.f64 y 2)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 1/2 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 x 2))) |
(*.f64 -1/4 (pow.f64 y 2)) |
(+.f64 (*.f64 -1/4 (pow.f64 y 2)) (*.f64 1/2 (*.f64 y x))) |
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 y 2)) (+.f64 (*.f64 1/2 (*.f64 y x)) (pow.f64 x 2))) (*.f64 1/4 (pow.f64 x 2))) |
(*.f64 -1/2 y) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(*.f64 3/2 x) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(-.f64 x (*.f64 -1/2 x)) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(*.f64 -1/2 y) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(*.f64 -1/2 y) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(*.f64 1/4 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(*.f64 1/4 (pow.f64 y 2)) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 y 2))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(*.f64 1/4 (pow.f64 y 2)) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 y 2))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(*.f64 1/4 (pow.f64 y 2)) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 y 2))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(*.f64 1/4 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(*.f64 1/4 (pow.f64 x 2)) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 x 2))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
| Outputs |
|---|
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 (+.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 (+.f64 y x)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 (+.f64 y x)) |
(*.f64 1/2 x) |
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/3 y)) (*.f64 -1/6 y)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 (+.f64 y x)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 1/3 y))) (+.f64 (*.f64 -1/6 y) (*.f64 -1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)))) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 (+.f64 y x)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 -1/3 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (*.f64 1/3 y)))) (+.f64 (*.f64 -1/6 y) (*.f64 -1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)))) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 (+.f64 y x)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 -1 (-.f64 (*.f64 -1/3 y) (*.f64 1/6 y)))) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 (+.f64 y x)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1/3 y) (*.f64 1/6 y))) (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 -1/3 y) (*.f64 1/6 y)) y) x))) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 (+.f64 y x)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (-.f64 (*.f64 -1/3 y) (*.f64 1/6 y))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 -1/6 (pow.f64 y 2)) (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/3 y) (*.f64 1/6 y)) y))) y) (pow.f64 x 2))) (*.f64 -1/6 (/.f64 (pow.f64 y 2) x))))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 -1/3 y) (*.f64 1/6 y)) y) x))) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 (+.f64 y x)) |
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (-.f64 x (*.f64 -1/2 x))) |
(/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) (+.f64 x (*.f64 1/2 x))) |
(/.f64 (*.f64 x (*.f64 x 3/4)) (*.f64 x 3/2)) |
(*.f64 1/2 (/.f64 (*.f64 x x) x)) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2)))) y) (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x)))) (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x))))) |
(+.f64 (*.f64 y (+.f64 (*.f64 1/2 (/.f64 x (+.f64 x (*.f64 1/2 x)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) (pow.f64 (+.f64 x (*.f64 1/2 x)) 2))))) (/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) (+.f64 x (*.f64 1/2 x)))) |
(fma.f64 y (*.f64 1/2 (+.f64 (/.f64 x (*.f64 x 3/2)) (/.f64 (*.f64 x (*.f64 x 3/4)) (pow.f64 (*.f64 x 3/2) 2)))) (/.f64 (*.f64 x (*.f64 x 3/4)) (*.f64 x 3/2))) |
(fma.f64 y (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2)))) y) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2)))) (-.f64 x (*.f64 -1/2 x)))) (*.f64 1/4 (/.f64 1 (-.f64 x (*.f64 -1/2 x))))))) (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x))))) (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x))))) |
(+.f64 (fma.f64 (+.f64 (*.f64 1/2 (/.f64 x (+.f64 x (*.f64 1/2 x)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) (pow.f64 (+.f64 x (*.f64 1/2 x)) 2)))) y (fma.f64 -1 (*.f64 (*.f64 y y) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 x (+.f64 x (*.f64 1/2 x)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) (pow.f64 (+.f64 x (*.f64 1/2 x)) 2)))) (+.f64 x (*.f64 1/2 x))) (/.f64 1/4 (+.f64 x (*.f64 1/2 x))))) (/.f64 (*.f64 x x) (+.f64 x (*.f64 1/2 x))))) (*.f64 -1/4 (/.f64 (*.f64 x x) (+.f64 x (*.f64 1/2 x))))) |
(fma.f64 y (*.f64 1/2 (+.f64 (/.f64 x (*.f64 x 3/2)) (/.f64 (*.f64 x (*.f64 x 3/4)) (pow.f64 (*.f64 x 3/2) 2)))) (+.f64 (*.f64 (*.f64 y y) (neg.f64 (fma.f64 -1/2 (/.f64 (*.f64 1/2 (+.f64 (/.f64 x (*.f64 x 3/2)) (/.f64 (*.f64 x (*.f64 x 3/4)) (pow.f64 (*.f64 x 3/2) 2)))) (*.f64 x 3/2)) (/.f64 1/4 (*.f64 x 3/2))))) (/.f64 (*.f64 x (*.f64 x 3/4)) (*.f64 x 3/2)))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2)))) (-.f64 x (*.f64 -1/2 x)))) (*.f64 1/4 (/.f64 1 (-.f64 x (*.f64 -1/2 x)))))) (-.f64 x (*.f64 -1/2 x)))) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2)))) y) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -1/2 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 1/4 (pow.f64 x 2))) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2)))) (-.f64 x (*.f64 -1/2 x)))) (*.f64 1/4 (/.f64 1 (-.f64 x (*.f64 -1/2 x))))))) (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x)))))) (*.f64 1/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x))))) |
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 y 3) (/.f64 (+.f64 x (*.f64 1/2 x)) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 x (+.f64 x (*.f64 1/2 x)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) (pow.f64 (+.f64 x (*.f64 1/2 x)) 2)))) (+.f64 x (*.f64 1/2 x))) (/.f64 1/4 (+.f64 x (*.f64 1/2 x)))))) (fma.f64 (+.f64 (*.f64 1/2 (/.f64 x (+.f64 x (*.f64 1/2 x)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) (pow.f64 (+.f64 x (*.f64 1/2 x)) 2)))) y (fma.f64 -1 (*.f64 (*.f64 y y) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 1/2 (/.f64 x (+.f64 x (*.f64 1/2 x)))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 x x) (*.f64 -1/4 (*.f64 x x))) (pow.f64 (+.f64 x (*.f64 1/2 x)) 2)))) (+.f64 x (*.f64 1/2 x))) (/.f64 1/4 (+.f64 x (*.f64 1/2 x))))) (/.f64 (*.f64 x x) (+.f64 x (*.f64 1/2 x)))))) (*.f64 -1/4 (/.f64 (*.f64 x x) (+.f64 x (*.f64 1/2 x))))) |
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 y 3) (*.f64 x 3/2)) (fma.f64 -1/2 (/.f64 (*.f64 1/2 (+.f64 (/.f64 x (*.f64 x 3/2)) (/.f64 (*.f64 x (*.f64 x 3/4)) (pow.f64 (*.f64 x 3/2) 2)))) (*.f64 x 3/2)) (/.f64 1/4 (*.f64 x 3/2)))) (fma.f64 y (*.f64 1/2 (+.f64 (/.f64 x (*.f64 x 3/2)) (/.f64 (*.f64 x (*.f64 x 3/4)) (pow.f64 (*.f64 x 3/2) 2)))) (+.f64 (*.f64 (*.f64 y y) (neg.f64 (fma.f64 -1/2 (/.f64 (*.f64 1/2 (+.f64 (/.f64 x (*.f64 x 3/2)) (/.f64 (*.f64 x (*.f64 x 3/4)) (pow.f64 (*.f64 x 3/2) 2)))) (*.f64 x 3/2)) (/.f64 1/4 (*.f64 x 3/2))))) (/.f64 (*.f64 x (*.f64 x 3/4)) (*.f64 x 3/2))))) |
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(*.f64 (*.f64 x x) 3/4) |
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(*.f64 x 3/2) |
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(fma.f64 y -1/2 (*.f64 x 3/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(fma.f64 x 3/2 (*.f64 y -1/2)) |
(fma.f64 y -1/2 (*.f64 x 3/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(fma.f64 x 3/2 (*.f64 y -1/2)) |
(fma.f64 y -1/2 (*.f64 x 3/2)) |
(*.f64 3/2 x) |
(*.f64 x 3/2) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(fma.f64 x 3/2 (*.f64 y -1/2)) |
(fma.f64 y -1/2 (*.f64 x 3/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(fma.f64 x 3/2 (*.f64 y -1/2)) |
(fma.f64 y -1/2 (*.f64 x 3/2)) |
(+.f64 (*.f64 -1/2 y) (*.f64 3/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(fma.f64 x 3/2 (*.f64 y -1/2)) |
(fma.f64 y -1/2 (*.f64 x 3/2)) |
(-.f64 x (*.f64 -1/2 x)) |
(*.f64 x 3/2) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(fma.f64 x 3/2 (*.f64 y -1/2)) |
(fma.f64 y -1/2 (*.f64 x 3/2)) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(fma.f64 x 3/2 (*.f64 y -1/2)) |
(fma.f64 y -1/2 (*.f64 x 3/2)) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(fma.f64 x 3/2 (*.f64 y -1/2)) |
(fma.f64 y -1/2 (*.f64 x 3/2)) |
(*.f64 -1/2 y) |
(*.f64 y -1/2) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(fma.f64 x 3/2 (*.f64 y -1/2)) |
(fma.f64 y -1/2 (*.f64 x 3/2)) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(fma.f64 x 3/2 (*.f64 y -1/2)) |
(fma.f64 y -1/2 (*.f64 x 3/2)) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(fma.f64 x 3/2 (*.f64 y -1/2)) |
(fma.f64 y -1/2 (*.f64 x 3/2)) |
(*.f64 -1/2 y) |
(*.f64 y -1/2) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(fma.f64 x 3/2 (*.f64 y -1/2)) |
(fma.f64 y -1/2 (*.f64 x 3/2)) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(fma.f64 x 3/2 (*.f64 y -1/2)) |
(fma.f64 y -1/2 (*.f64 x 3/2)) |
(-.f64 (+.f64 (*.f64 -1/2 y) x) (*.f64 -1/2 x)) |
(fma.f64 -1/2 y (*.f64 x 3/2)) |
(fma.f64 x 3/2 (*.f64 y -1/2)) |
(fma.f64 y -1/2 (*.f64 x 3/2)) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1/4) |
(*.f64 (*.f64 1/4 x) x) |
(*.f64 x (*.f64 x 1/4)) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 x 2))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 (*.f64 x x) 1/4)) |
(fma.f64 (*.f64 x x) 1/4 (*.f64 y (*.f64 x -1/2))) |
(*.f64 x (+.f64 (*.f64 x 1/4) (*.f64 y -1/2))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (+.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 (*.f64 y -1/2) x (*.f64 1/4 (fma.f64 y y (*.f64 x x)))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (+.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 (*.f64 y -1/2) x (*.f64 1/4 (fma.f64 y y (*.f64 x x)))) |
(*.f64 1/4 (pow.f64 y 2)) |
(*.f64 (*.f64 y y) 1/4) |
(*.f64 y (*.f64 y 1/4)) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 y 2))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 (*.f64 y y) 1/4)) |
(fma.f64 (*.f64 y y) 1/4 (*.f64 y (*.f64 x -1/2))) |
(*.f64 y (+.f64 (*.f64 x -1/2) (*.f64 1/4 y))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (+.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 (*.f64 y -1/2) x (*.f64 1/4 (fma.f64 y y (*.f64 x x)))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (+.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 (*.f64 y -1/2) x (*.f64 1/4 (fma.f64 y y (*.f64 x x)))) |
(*.f64 1/4 (pow.f64 y 2)) |
(*.f64 (*.f64 y y) 1/4) |
(*.f64 y (*.f64 y 1/4)) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 y 2))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 (*.f64 y y) 1/4)) |
(fma.f64 (*.f64 y y) 1/4 (*.f64 y (*.f64 x -1/2))) |
(*.f64 y (+.f64 (*.f64 x -1/2) (*.f64 1/4 y))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (+.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 (*.f64 y -1/2) x (*.f64 1/4 (fma.f64 y y (*.f64 x x)))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (+.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 (*.f64 y -1/2) x (*.f64 1/4 (fma.f64 y y (*.f64 x x)))) |
(*.f64 1/4 (pow.f64 y 2)) |
(*.f64 (*.f64 y y) 1/4) |
(*.f64 y (*.f64 y 1/4)) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 y 2))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 (*.f64 y y) 1/4)) |
(fma.f64 (*.f64 y y) 1/4 (*.f64 y (*.f64 x -1/2))) |
(*.f64 y (+.f64 (*.f64 x -1/2) (*.f64 1/4 y))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (+.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 (*.f64 y -1/2) x (*.f64 1/4 (fma.f64 y y (*.f64 x x)))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (+.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 (*.f64 y -1/2) x (*.f64 1/4 (fma.f64 y y (*.f64 x x)))) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1/4) |
(*.f64 (*.f64 1/4 x) x) |
(*.f64 x (*.f64 x 1/4)) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 x 2))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 (*.f64 x x) 1/4)) |
(fma.f64 (*.f64 x x) 1/4 (*.f64 y (*.f64 x -1/2))) |
(*.f64 x (+.f64 (*.f64 x 1/4) (*.f64 y -1/2))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (+.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 (*.f64 y -1/2) x (*.f64 1/4 (fma.f64 y y (*.f64 x x)))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (+.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 (*.f64 y -1/2) x (*.f64 1/4 (fma.f64 y y (*.f64 x x)))) |
(*.f64 1/4 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 1/4) |
(*.f64 (*.f64 1/4 x) x) |
(*.f64 x (*.f64 x 1/4)) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (*.f64 1/4 (pow.f64 x 2))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 (*.f64 x x) 1/4)) |
(fma.f64 (*.f64 x x) 1/4 (*.f64 y (*.f64 x -1/2))) |
(*.f64 x (+.f64 (*.f64 x 1/4) (*.f64 y -1/2))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (+.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 (*.f64 y -1/2) x (*.f64 1/4 (fma.f64 y y (*.f64 x x)))) |
(+.f64 (*.f64 -1/2 (*.f64 y x)) (+.f64 (*.f64 1/4 (pow.f64 y 2)) (*.f64 1/4 (pow.f64 x 2)))) |
(fma.f64 -1/2 (*.f64 y x) (*.f64 1/4 (+.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 (*.f64 y -1/2) x (*.f64 1/4 (fma.f64 y y (*.f64 x x)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 (-.f64 y x) 1/2 x) |
Compiled 14 to 6 computations (57.1% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (fma.f64 (-.f64 y x) 1/2 x) |
| 1.0ms | y | @ | 0 | (fma.f64 (-.f64 y x) 1/2 x) |
| 0.0ms | x | @ | -inf | (fma.f64 (-.f64 y x) 1/2 x) |
| 0.0ms | y | @ | -inf | (fma.f64 (-.f64 y x) 1/2 x) |
| 0.0ms | x | @ | inf | (fma.f64 (-.f64 y x) 1/2 x) |
| 1× | batch-egg-rewrite |
| 715× | pow1_binary64 |
| 666× | add-log-exp_binary64 |
| 666× | log1p-expm1-u_binary64 |
| 666× | expm1-log1p-u_binary64 |
| 653× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 132 | 8 |
| 2 | 1742 | 8 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (-.f64 y x) 1/2 x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 y x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 y x) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (-.f64 y x) 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 y x) 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2) (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y x) 1/2) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 y x) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (-.f64 y x) 1/2) (*.f64 (-.f64 y x) 1/2)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 y x) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 y x) 1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 y x) 1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 y x) 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 y x) 1/2 x))))))) |
| 1× | egg-herbie |
| 14× | fma-def_binary64 |
| 6× | +-commutative_binary64 |
| 4× | *-commutative_binary64 |
| 3× | associate-+l+_binary64 |
| 2× | associate-+r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 186 |
| 1 | 29 | 150 |
| 2 | 46 | 150 |
| 3 | 48 | 150 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 -1/2 x) x) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(*.f64 1/2 x) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
| Outputs |
|---|
(+.f64 (*.f64 -1/2 x) x) |
(*.f64 x 1/2) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 1/2 y) x)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(+.f64 (*.f64 1/2 x) (*.f64 1/2 y)) |
(fma.f64 -1/2 x (fma.f64 1/2 y x)) |
(*.f64 1/2 (+.f64 x y)) |
Compiled 11703 to 6492 computations (44.5% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 403 | 9 | 412 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 2 | 3 |
| Total | 405 | 12 | 417 |
| Status | Error | Program |
|---|---|---|
| 45.2b | (*.f64 x 1/2) | |
| ▶ | 53.6b | (*.f64 1/2 (/.f64 (*.f64 x x) x)) |
| 46.5b | (fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (-.f64 y x) 4)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) x) | |
| 53.7b | (/.f64 (*.f64 x (*.f64 x 3/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2))) | |
| 53.7b | (/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x 1/4))) (-.f64 x (*.f64 (-.f64 y x) 1/2))) | |
| ▶ | 49.4b | (+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
| ✓ | 0.1b | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 56.7b | x | |
| ✓ | 29.2b | (*.f64 1/2 (fabs.f64 (-.f64 y x))) |
| ▶ | 53.5b | (/.f64 (*.f64 x (+.f64 (*.f64 3/4 x) (*.f64 1/2 y))) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
| ▶ | 30.6b | (*.f64 1/2 (+.f64 y x)) |
| ▶ | 48.0b | (*.f64 1/2 y) |
Compiled 337 to 221 computations (34.4% saved)
Compiled 13 to 6 computations (53.8% saved)
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 30.5b | (/.f64 (*.f64 x x) x) |
Compiled 19 to 7 computations (63.2% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x x) x) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x x) x) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 x x) x) |
| 1× | batch-egg-rewrite |
| 347× | pow1_binary64 |
| 331× | add-sqr-sqrt_binary64 |
| 326× | add-log-exp_binary64 |
| 326× | log1p-expm1-u_binary64 |
| 326× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 1 | 87 | 1 |
| 2 | 1226 | 1 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 (pow.f64 x -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) x) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (/.f64 x (cbrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (/.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) x)) (pow.f64 (pow.f64 (cbrt.f64 x) 5) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (cbrt.f64 x))) (sqrt.f64 (*.f64 (cbrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (/.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (pow.f64 x 3/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) 1) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) x) (/.f64 (*.f64 x x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 (pow.f64 x -3/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 x) x) (sqrt.f64 x)) (/.f64 (/.f64 x (cbrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 3/2) 1/2) (sqrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 5) 1/2) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) x) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) -1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 x (cbrt.f64 x)) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (pow.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (*.f64 (cbrt.f64 x) x)) -1) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 (cbrt.f64 x) x)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (/.f64 x (cbrt.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 x) x) -1) (pow.f64 (/.f64 1 (cbrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (cbrt.f64 x)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 x)) -1)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 12 |
| 1× | saturated |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 3/4 x) (*.f64 1/2 y)) |
| 0.0b | (-.f64 x (*.f64 (-.f64 y x) 1/2)) | |
| ✓ | 0.1b | (*.f64 x (+.f64 (*.f64 3/4 x) (*.f64 1/2 y))) |
| ✓ | 21.7b | (/.f64 (*.f64 x (+.f64 (*.f64 3/4 x) (*.f64 1/2 y))) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
Compiled 60 to 35 computations (41.7% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 x (+.f64 (*.f64 3/4 x) (*.f64 1/2 y))) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 x (+.f64 (*.f64 3/4 x) (*.f64 1/2 y))) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 x (+.f64 (*.f64 3/4 x) (*.f64 1/2 y))) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 x (+.f64 (*.f64 3/4 x) (*.f64 1/2 y))) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 x (+.f64 (*.f64 3/4 x) (*.f64 1/2 y))) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
| 1× | batch-egg-rewrite |
| 862× | log-prod_binary64 |
| 710× | fma-def_binary64 |
| 315× | fma-neg_binary64 |
| 286× | expm1-udef_binary64 |
| 286× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 42 |
| 1 | 310 | 42 |
| 2 | 4848 | 40 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 (*.f64 3/4 x) (*.f64 1/2 y))) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
(*.f64 x (+.f64 (*.f64 3/4 x) (*.f64 1/2 y))) |
(+.f64 (*.f64 3/4 x) (*.f64 1/2 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y)))))) (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (fma.f64 x 3/4 (*.f64 1/2 y)) (/.f64 1 (fma.f64 (-.f64 y x) -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 3/4 (*.f64 1/2 y)) (*.f64 x (/.f64 1 (fma.f64 (-.f64 y x) -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (fma.f64 x 3/4 (*.f64 1/2 y))) (/.f64 1 (fma.f64 (-.f64 y x) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3/4 (*.f64 1/2 y)))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 x 3/4 (*.f64 1/2 y)))) (/.f64 1 (fma.f64 (-.f64 y x) -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y))))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y))))) 2) (cbrt.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/4 (*.f64 1/2 y)))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 x 3/4 (*.f64 1/2 y)))) (/.f64 1 (fma.f64 (-.f64 y x) -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y))))) (sqrt.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 y x) -1/2 x) (fma.f64 x 3/4 (*.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x 3/4 (*.f64 1/2 y)) (neg.f64 x)) (/.f64 1 (neg.f64 (fma.f64 (-.f64 y x) -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(-.f64 (*.f64 1/2 y) (*.f64 x 3/4)) (pow.f64 (*.f64 x 3/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x 3/4) 2) (*.f64 1/4 (*.f64 y y))) (/.f64 1 (fma.f64 x 3/4 (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 1/2 y) (-.f64 (*.f64 1/2 y) (*.f64 x 3/4)) (pow.f64 (*.f64 x 3/4) 2)) (fma.f64 1/8 (pow.f64 y 3) (*.f64 27/64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x 3/4 (*.f64 -1/2 y)) (-.f64 (pow.f64 (*.f64 x 3/4) 2) (*.f64 1/4 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/8 (pow.f64 y 3) (*.f64 27/64 (pow.f64 x 3))) (fma.f64 (*.f64 1/2 y) (-.f64 (*.f64 1/2 y) (*.f64 x 3/4)) (pow.f64 (*.f64 x 3/4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/8 (pow.f64 y 3) (*.f64 27/64 (pow.f64 x 3))) (fma.f64 1/4 (*.f64 y y) (-.f64 (pow.f64 (*.f64 x 3/4) 2) (*.f64 x (*.f64 3/4 (*.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 3/4) 2) (*.f64 1/4 (*.f64 y y))) (fma.f64 x 3/4 (*.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/8 (pow.f64 y 3) (*.f64 27/64 (pow.f64 x 3)))) (neg.f64 (fma.f64 (*.f64 1/2 y) (-.f64 (*.f64 1/2 y) (*.f64 x 3/4)) (pow.f64 (*.f64 x 3/4) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x 3/4) 2) (*.f64 1/4 (*.f64 y y)))) (neg.f64 (fma.f64 x 3/4 (*.f64 -1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 y y)) (pow.f64 (*.f64 x 3/4) 2)) (-.f64 (*.f64 1/2 y) (*.f64 x 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 3/4 (*.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 3/4 (*.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 3/4 (*.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 3/4 (*.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 3/4 (*.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 3/4 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 3/4 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 3/4))) (pow.f64 (exp.f64 y) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 3/4) x) (+.f64 1 (expm1.f64 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 3/4))) (+.f64 1 (expm1.f64 (*.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 y))) (pow.f64 (exp.f64 3/4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 y) 1/2) (+.f64 1 (expm1.f64 (*.f64 x 3/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 y))) (+.f64 1 (expm1.f64 (*.f64 x 3/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 3/4 (*.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 3/4 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 3/4 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 3/4 (*.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 3/4 (*.f64 1/2 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3/4 (*.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/4 x (*.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 3/4) 1 (*.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 y (*.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1/2 (*.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 y) 1 (*.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 3/4) (*.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 y) (*.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 3/4) (*.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) 1/2) (*.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 y)) (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (*.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 y)) 2) (cbrt.f64 (*.f64 1/2 y)) (*.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 3/4)) (pow.f64 (cbrt.f64 (*.f64 x 3/4)) 2) (*.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 3/4)) 2) (cbrt.f64 (*.f64 x 3/4)) (*.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3/4) (*.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1/2) (*.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 y)) (sqrt.f64 (*.f64 1/2 y)) (*.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3/4)) (sqrt.f64 (*.f64 x 3/4)) (*.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/4 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/4 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 x 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x 3/4)))))) |
| 1× | egg-herbie |
| 458× | fma-def_binary64 |
| 448× | times-frac_binary64 |
| 401× | div-sub_binary64 |
| 399× | associate-/l*_binary64 |
| 363× | associate-*r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 1494 |
| 1 | 377 | 1324 |
| 2 | 1263 | 1104 |
| 3 | 6612 | 1104 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))) |
(*.f64 1/2 x) |
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/3 y)) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)) (+.f64 (*.f64 1/3 y) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) (pow.f64 x 2)))))) (*.f64 -1/6 y)) |
(*.f64 1/2 x) |
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/3 y)) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)) (+.f64 (*.f64 1/3 y) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) (pow.f64 x 2)))))) (*.f64 -1/6 y)) |
(*.f64 3/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x)))) |
(+.f64 (*.f64 y (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -3/8 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2))))) (*.f64 3/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x))))) |
(+.f64 (*.f64 y (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -3/8 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -3/8 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2))))) (-.f64 x (*.f64 -1/2 x)))) (*.f64 3/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x)))))) |
(+.f64 (*.f64 y (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -3/8 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2))))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -3/8 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2))))) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -3/8 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2))))) (-.f64 x (*.f64 -1/2 x)))) (*.f64 3/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x))))))) |
(*.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -3/2 (/.f64 (pow.f64 x 2) y))) (*.f64 2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) x) y))) |
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 2) y)) (*.f64 2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x)))) (pow.f64 y 2))))) (*.f64 2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) x) y))) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2) (-.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x)))) (pow.f64 y 3))) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 2) y)) (*.f64 2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x)))) (pow.f64 y 2)))))) (*.f64 2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) x) y))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x))) y)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x))) y)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x)))) (pow.f64 y 2))) (*.f64 -1 x))) |
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2) (-.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x)))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x))) y)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x)))) (pow.f64 y 2))) (*.f64 -1 x)))) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(*.f64 3/4 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(*.f64 3/4 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(*.f64 3/4 (pow.f64 x 2)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(*.f64 1/2 (*.f64 y x)) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(*.f64 3/4 x) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(*.f64 3/4 x) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(*.f64 3/4 x) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(*.f64 1/2 y) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
| Outputs |
|---|
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 x (/.f64 y x)) (neg.f64 x)) |
(-.f64 (/.f64 (*.f64 x -9/2) (/.f64 y x)) x) |
(+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y)))) |
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -9/2 (/.f64 x (/.f64 y x)) (neg.f64 x))) |
(-.f64 (fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (/.f64 (*.f64 x -9/2) (/.f64 y x))) x) |
(+.f64 (*.f64 -27/2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))))) |
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))))) |
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -81/2 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 -9/2 (/.f64 x (/.f64 y x)) (neg.f64 x)))) |
(fma.f64 -27/2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (-.f64 (fma.f64 -9/2 (/.f64 x (/.f64 y x)) (/.f64 -81/2 (/.f64 (pow.f64 y 3) (pow.f64 x 4)))) x)) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/3 y)) (*.f64 -1/6 y)) |
(+.f64 (*.f64 x 1/2) (*.f64 y 1/2)) |
(*.f64 1/2 (+.f64 x y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(+.f64 (fma.f64 1/2 x (*.f64 1/3 (+.f64 (/.f64 y (/.f64 x (*.f64 y 1/2))) y))) (*.f64 1/6 y)) |
(+.f64 (fma.f64 x 1/2 (*.f64 1/3 (*.f64 (/.f64 y x) (*.f64 y 1/2)))) (*.f64 y 1/2)) |
(+.f64 (*.f64 1/2 (+.f64 x y)) (*.f64 (/.f64 y x) (*.f64 y 1/6))) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)) (+.f64 (*.f64 1/3 y) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) (pow.f64 x 2)))))) (*.f64 -1/6 y)) |
(+.f64 (fma.f64 1/2 x (fma.f64 1/3 (/.f64 y (/.f64 x (*.f64 y 1/2))) (fma.f64 1/3 y (*.f64 1/9 (/.f64 (*.f64 y y) (/.f64 (*.f64 x x) (*.f64 y 1/2))))))) (*.f64 1/6 y)) |
(fma.f64 x 1/2 (+.f64 (fma.f64 1/3 (+.f64 y (*.f64 (/.f64 y x) (*.f64 y 1/2))) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 3) 1/2) (*.f64 x x)))) (*.f64 y 1/6))) |
(+.f64 (+.f64 (*.f64 1/2 (+.f64 x y)) (*.f64 (/.f64 y x) (*.f64 y 1/6))) (/.f64 (*.f64 (pow.f64 y 3) 1/18) (*.f64 x x))) |
(*.f64 1/2 x) |
(*.f64 x 1/2) |
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 1/3 y)) (*.f64 -1/6 y)) |
(+.f64 (*.f64 x 1/2) (*.f64 y 1/2)) |
(*.f64 1/2 (+.f64 x y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(+.f64 (fma.f64 1/2 x (*.f64 1/3 (+.f64 (/.f64 y (/.f64 x (*.f64 y 1/2))) y))) (*.f64 1/6 y)) |
(+.f64 (fma.f64 x 1/2 (*.f64 1/3 (*.f64 (/.f64 y x) (*.f64 y 1/2)))) (*.f64 y 1/2)) |
(+.f64 (*.f64 1/2 (+.f64 x y)) (*.f64 (/.f64 y x) (*.f64 y 1/6))) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)) (+.f64 (*.f64 1/3 y) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) (pow.f64 x 2)))))) (*.f64 -1/6 y)) |
(+.f64 (fma.f64 1/2 x (fma.f64 1/3 (/.f64 y (/.f64 x (*.f64 y 1/2))) (fma.f64 1/3 y (*.f64 1/9 (/.f64 (*.f64 y y) (/.f64 (*.f64 x x) (*.f64 y 1/2))))))) (*.f64 1/6 y)) |
(fma.f64 x 1/2 (+.f64 (fma.f64 1/3 (+.f64 y (*.f64 (/.f64 y x) (*.f64 y 1/2))) (*.f64 1/9 (/.f64 (*.f64 (pow.f64 y 3) 1/2) (*.f64 x x)))) (*.f64 y 1/6))) |
(+.f64 (+.f64 (*.f64 1/2 (+.f64 x y)) (*.f64 (/.f64 y x) (*.f64 y 1/6))) (/.f64 (*.f64 (pow.f64 y 3) 1/18) (*.f64 x x))) |
(*.f64 3/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x)))) |
(*.f64 3/4 (/.f64 (*.f64 x x) (+.f64 x (*.f64 x 1/2)))) |
(/.f64 (*.f64 x x) (/.f64 (*.f64 3/2 x) 3/4)) |
(*.f64 1/2 (/.f64 (*.f64 x x) x)) |
(+.f64 (*.f64 y (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -3/8 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2))))) (*.f64 3/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x))))) |
(fma.f64 y (-.f64 (/.f64 (*.f64 x 1/2) (+.f64 x (*.f64 x 1/2))) (/.f64 (*.f64 -3/8 (*.f64 x x)) (pow.f64 (+.f64 x (*.f64 x 1/2)) 2))) (*.f64 3/4 (/.f64 (*.f64 x x) (+.f64 x (*.f64 x 1/2))))) |
(fma.f64 y (fma.f64 1/2 (/.f64 x (*.f64 3/2 x)) (/.f64 (*.f64 3/8 (*.f64 x x)) (pow.f64 (*.f64 3/2 x) 2))) (/.f64 (*.f64 x x) (/.f64 (*.f64 3/2 x) 3/4))) |
(fma.f64 y (fma.f64 (/.f64 x (/.f64 (*.f64 9/4 (*.f64 x x)) x)) 3/8 (*.f64 1/3 (/.f64 x x))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -3/8 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -3/8 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2))))) (-.f64 x (*.f64 -1/2 x)))) (*.f64 3/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x)))))) |
(fma.f64 y (-.f64 (/.f64 (*.f64 x 1/2) (+.f64 x (*.f64 x 1/2))) (/.f64 (*.f64 -3/8 (*.f64 x x)) (pow.f64 (+.f64 x (*.f64 x 1/2)) 2))) (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (+.f64 x (*.f64 x 1/2)) (-.f64 (/.f64 (*.f64 x 1/2) (+.f64 x (*.f64 x 1/2))) (/.f64 (*.f64 -3/8 (*.f64 x x)) (pow.f64 (+.f64 x (*.f64 x 1/2)) 2))))) (*.f64 3/4 (/.f64 (*.f64 x x) (+.f64 x (*.f64 x 1/2)))))) |
(fma.f64 y (fma.f64 1/2 (/.f64 x (*.f64 3/2 x)) (/.f64 (*.f64 3/8 (*.f64 x x)) (pow.f64 (*.f64 3/2 x) 2))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (*.f64 3/2 x)) (fma.f64 1/2 (/.f64 x (*.f64 3/2 x)) (/.f64 (*.f64 3/8 (*.f64 x x)) (pow.f64 (*.f64 3/2 x) 2)))) (/.f64 (*.f64 x x) (/.f64 (*.f64 3/2 x) 3/4)))) |
(+.f64 (fma.f64 y (fma.f64 (/.f64 x (/.f64 (*.f64 9/4 (*.f64 x x)) x)) 3/8 (*.f64 1/3 (/.f64 x x))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) (*.f64 1/3 (/.f64 (*.f64 y (*.f64 y (fma.f64 (/.f64 x (/.f64 (*.f64 9/4 (*.f64 x x)) x)) 3/8 (*.f64 1/3 (/.f64 x x))))) x))) |
(+.f64 (*.f64 y (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -3/8 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2))))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -3/8 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2))))) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (-.f64 (*.f64 1/2 (/.f64 x (-.f64 x (*.f64 -1/2 x)))) (*.f64 -3/8 (/.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2))))) (-.f64 x (*.f64 -1/2 x)))) (*.f64 3/4 (/.f64 (pow.f64 x 2) (-.f64 x (*.f64 -1/2 x))))))) |
(fma.f64 y (-.f64 (/.f64 (*.f64 x 1/2) (+.f64 x (*.f64 x 1/2))) (/.f64 (*.f64 -3/8 (*.f64 x x)) (pow.f64 (+.f64 x (*.f64 x 1/2)) 2))) (fma.f64 1/4 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 (+.f64 x (*.f64 x 1/2)) 2) (-.f64 (/.f64 (*.f64 x 1/2) (+.f64 x (*.f64 x 1/2))) (/.f64 (*.f64 -3/8 (*.f64 x x)) (pow.f64 (+.f64 x (*.f64 x 1/2)) 2))))) (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (+.f64 x (*.f64 x 1/2)) (-.f64 (/.f64 (*.f64 x 1/2) (+.f64 x (*.f64 x 1/2))) (/.f64 (*.f64 -3/8 (*.f64 x x)) (pow.f64 (+.f64 x (*.f64 x 1/2)) 2))))) (*.f64 3/4 (/.f64 (*.f64 x x) (+.f64 x (*.f64 x 1/2))))))) |
(fma.f64 y (fma.f64 1/2 (/.f64 x (*.f64 3/2 x)) (/.f64 (*.f64 3/8 (*.f64 x x)) (pow.f64 (*.f64 3/2 x) 2))) (fma.f64 1/4 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 3/2 x) 2)) (fma.f64 1/2 (/.f64 x (*.f64 3/2 x)) (/.f64 (*.f64 3/8 (*.f64 x x)) (pow.f64 (*.f64 3/2 x) 2)))) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 y y) (*.f64 3/2 x)) (fma.f64 1/2 (/.f64 x (*.f64 3/2 x)) (/.f64 (*.f64 3/8 (*.f64 x x)) (pow.f64 (*.f64 3/2 x) 2)))) (/.f64 (*.f64 x x) (/.f64 (*.f64 3/2 x) 3/4))))) |
(+.f64 (fma.f64 y (fma.f64 (/.f64 x (/.f64 (*.f64 9/4 (*.f64 x x)) x)) 3/8 (*.f64 1/3 (/.f64 x x))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) (fma.f64 1/4 (*.f64 (fma.f64 (/.f64 x (/.f64 (*.f64 9/4 (*.f64 x x)) x)) 3/8 (*.f64 1/3 (/.f64 x x))) (/.f64 (pow.f64 y 3) (*.f64 9/4 (*.f64 x x)))) (*.f64 1/3 (/.f64 (*.f64 y (*.f64 y (fma.f64 (/.f64 x (/.f64 (*.f64 9/4 (*.f64 x x)) x)) 3/8 (*.f64 1/3 (/.f64 x x))))) x)))) |
(*.f64 -1 x) |
(neg.f64 x) |
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -3/2 (/.f64 (pow.f64 x 2) y))) (*.f64 2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) x) y))) |
(+.f64 (fma.f64 -1 x (*.f64 (/.f64 (*.f64 x x) y) -3/2)) (*.f64 -2 (/.f64 (+.f64 x (*.f64 x 1/2)) (/.f64 y x)))) |
(fma.f64 -1 x (fma.f64 (/.f64 x (/.f64 y x)) -3/2 (*.f64 (/.f64 x (/.f64 y (*.f64 3/2 x))) -2))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) 3/2) -3) y) x) |
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 2) y)) (*.f64 2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x)))) (pow.f64 y 2))))) (*.f64 2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) x) y))) |
(+.f64 (fma.f64 -1 x (fma.f64 -3/2 (/.f64 (*.f64 x x) y) (*.f64 2 (/.f64 (+.f64 x (*.f64 x 1/2)) (/.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 x x) -3/2) (*.f64 (*.f64 x (+.f64 x (*.f64 x 1/2))) -2))))))) (*.f64 -2 (/.f64 (+.f64 x (*.f64 x 1/2)) (/.f64 y x)))) |
(+.f64 (-.f64 (fma.f64 2 (*.f64 (/.f64 (fma.f64 (*.f64 x x) -3/2 (*.f64 x (*.f64 (*.f64 3/2 x) -2))) y) (/.f64 (*.f64 3/2 x) y)) (/.f64 (*.f64 (*.f64 x x) -3/2) y)) x) (*.f64 (/.f64 x (/.f64 y (*.f64 3/2 x))) -2)) |
(+.f64 (*.f64 (/.f64 (*.f64 3 x) y) (/.f64 (*.f64 (*.f64 (*.f64 x x) 3/2) -3) y)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) 3/2) -3) y) x)) |
(-.f64 (+.f64 (*.f64 4 (/.f64 (*.f64 (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2) (-.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x)))) (pow.f64 y 3))) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 2) y)) (*.f64 2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 -3/2 (pow.f64 x 2)) (*.f64 2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x)))) (pow.f64 y 2)))))) (*.f64 2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) x) y))) |
(+.f64 (fma.f64 4 (/.f64 (pow.f64 (+.f64 x (*.f64 x 1/2)) 2) (/.f64 (pow.f64 y 3) (+.f64 (*.f64 (*.f64 x x) -3/2) (*.f64 (*.f64 x (+.f64 x (*.f64 x 1/2))) -2)))) (fma.f64 -1 x (fma.f64 -3/2 (/.f64 (*.f64 x x) y) (*.f64 2 (/.f64 (+.f64 x (*.f64 x 1/2)) (/.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 x x) -3/2) (*.f64 (*.f64 x (+.f64 x (*.f64 x 1/2))) -2)))))))) (*.f64 -2 (/.f64 (+.f64 x (*.f64 x 1/2)) (/.f64 y x)))) |
(+.f64 (fma.f64 4 (*.f64 (/.f64 (pow.f64 (*.f64 3/2 x) 2) (pow.f64 y 3)) (fma.f64 (*.f64 x x) -3/2 (*.f64 x (*.f64 (*.f64 3/2 x) -2)))) (-.f64 (fma.f64 2 (*.f64 (/.f64 (fma.f64 (*.f64 x x) -3/2 (*.f64 x (*.f64 (*.f64 3/2 x) -2))) y) (/.f64 (*.f64 3/2 x) y)) (/.f64 (*.f64 (*.f64 x x) -3/2) y)) x)) (*.f64 (/.f64 x (/.f64 y (*.f64 3/2 x))) -2)) |
(fma.f64 4 (*.f64 (*.f64 (*.f64 (*.f64 x x) 3/2) -3) (/.f64 (*.f64 9/4 (*.f64 x x)) (pow.f64 y 3))) (+.f64 (*.f64 (/.f64 (*.f64 3 x) y) (/.f64 (*.f64 (*.f64 (*.f64 x x) 3/2) -3) y)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) 3/2) -3) y) x))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x))) y)) (*.f64 -1 x)) |
(+.f64 (fma.f64 -1 x (*.f64 (/.f64 (*.f64 x x) y) -3/2)) (*.f64 -2 (/.f64 (+.f64 x (*.f64 x 1/2)) (/.f64 y x)))) |
(fma.f64 -1 x (fma.f64 (/.f64 x (/.f64 y x)) -3/2 (*.f64 (/.f64 x (/.f64 y (*.f64 3/2 x))) -2))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) 3/2) -3) y) x) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x))) y)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x)))) (pow.f64 y 2))) (*.f64 -1 x))) |
(fma.f64 -1 (/.f64 (-.f64 (*.f64 (*.f64 x x) 3/2) (*.f64 (*.f64 x (+.f64 x (*.f64 x 1/2))) -2)) y) (fma.f64 -2 (/.f64 (+.f64 x (*.f64 x 1/2)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 x x) 3/2) (*.f64 (*.f64 x (+.f64 x (*.f64 x 1/2))) -2)))) (neg.f64 x))) |
(-.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 3/2 x) (*.f64 y y)) (fma.f64 (*.f64 x x) 3/2 (*.f64 (*.f64 3/2 x) (*.f64 x 2)))) (neg.f64 x)) (/.f64 (fma.f64 (*.f64 x x) 3/2 (*.f64 (*.f64 3/2 x) (*.f64 x 2))) y)) |
(+.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) 3/2) -3) y) x) (*.f64 (/.f64 (*.f64 -3 x) y) (/.f64 (*.f64 3 (*.f64 (*.f64 x x) 3/2)) y))) |
(+.f64 (*.f64 -4 (/.f64 (*.f64 (pow.f64 (-.f64 x (*.f64 -1/2 x)) 2) (-.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x)))) (pow.f64 y 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x))) y)) (+.f64 (*.f64 -2 (/.f64 (*.f64 (-.f64 x (*.f64 -1/2 x)) (-.f64 (*.f64 3/2 (pow.f64 x 2)) (*.f64 -2 (*.f64 (-.f64 x (*.f64 -1/2 x)) x)))) (pow.f64 y 2))) (*.f64 -1 x)))) |
(fma.f64 -4 (/.f64 (pow.f64 (+.f64 x (*.f64 x 1/2)) 2) (/.f64 (pow.f64 y 3) (-.f64 (*.f64 (*.f64 x x) 3/2) (*.f64 (*.f64 x (+.f64 x (*.f64 x 1/2))) -2)))) (fma.f64 -1 (/.f64 (-.f64 (*.f64 (*.f64 x x) 3/2) (*.f64 (*.f64 x (+.f64 x (*.f64 x 1/2))) -2)) y) (fma.f64 -2 (/.f64 (+.f64 x (*.f64 x 1/2)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 x x) 3/2) (*.f64 (*.f64 x (+.f64 x (*.f64 x 1/2))) -2)))) (neg.f64 x)))) |
(fma.f64 -4 (*.f64 (/.f64 (pow.f64 (*.f64 3/2 x) 2) (pow.f64 y 3)) (fma.f64 (*.f64 x x) 3/2 (*.f64 (*.f64 3/2 x) (*.f64 x 2)))) (-.f64 (fma.f64 -2 (*.f64 (/.f64 (*.f64 3/2 x) (*.f64 y y)) (fma.f64 (*.f64 x x) 3/2 (*.f64 (*.f64 3/2 x) (*.f64 x 2)))) (neg.f64 x)) (/.f64 (fma.f64 (*.f64 x x) 3/2 (*.f64 (*.f64 3/2 x) (*.f64 x 2))) y))) |
(+.f64 (*.f64 (/.f64 (*.f64 -3 x) y) (/.f64 (*.f64 3 (*.f64 (*.f64 x x) 3/2)) y)) (-.f64 (fma.f64 -4 (*.f64 (*.f64 3 (*.f64 (*.f64 x x) 3/2)) (/.f64 (*.f64 9/4 (*.f64 x x)) (pow.f64 y 3))) (/.f64 (*.f64 (*.f64 (*.f64 x x) 3/2) -3) y)) x)) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 x y)) |
(*.f64 x (*.f64 y 1/2)) |
(*.f64 y (*.f64 x 1/2)) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(*.f64 3/4 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 3/4) |
(*.f64 x (*.f64 x 3/4)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(*.f64 3/4 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 3/4) |
(*.f64 x (*.f64 x 3/4)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(*.f64 3/4 (pow.f64 x 2)) |
(*.f64 (*.f64 x x) 3/4) |
(*.f64 x (*.f64 x 3/4)) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(+.f64 (*.f64 1/2 (*.f64 y x)) (*.f64 3/4 (pow.f64 x 2))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 x y)) |
(*.f64 x (*.f64 y 1/2)) |
(*.f64 y (*.f64 x 1/2)) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(*.f64 1/2 (*.f64 y x)) |
(*.f64 1/2 (*.f64 x y)) |
(*.f64 x (*.f64 y 1/2)) |
(*.f64 y (*.f64 x 1/2)) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(+.f64 (*.f64 3/4 (pow.f64 x 2)) (*.f64 1/2 (*.f64 y x))) |
(fma.f64 1/2 (*.f64 x y) (*.f64 (*.f64 x x) 3/4)) |
(*.f64 x (fma.f64 y 1/2 (*.f64 x 3/4))) |
(*.f64 1/2 y) |
(*.f64 y 1/2) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(*.f64 3/4 x) |
(*.f64 x 3/4) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(*.f64 3/4 x) |
(*.f64 x 3/4) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(*.f64 3/4 x) |
(*.f64 x 3/4) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(*.f64 1/2 y) |
(*.f64 y 1/2) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(*.f64 1/2 y) |
(*.f64 y 1/2) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
(+.f64 (*.f64 1/2 y) (*.f64 3/4 x)) |
(fma.f64 1/2 y (*.f64 x 3/4)) |
(fma.f64 x 3/4 (*.f64 y 1/2)) |
(fma.f64 y 1/2 (*.f64 x 3/4)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) x)) (/.f64 1/6 x)) y) |
| ✓ | 19.1b | (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) x)) (/.f64 1/6 x)) |
| 30.5b | (/.f64 (*.f64 x x) x) | |
| ✓ | 32.6b | (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4)) |
Compiled 313 to 160 computations (48.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) x)) (/.f64 1/6 x)) |
| 1.0ms | x | @ | inf | (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) x)) (/.f64 1/6 x)) y) |
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) x)) (/.f64 1/6 x)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4)) |
| 3× | egg-rewrite-iter-limit |
| 3× | egg-rewrite |
| 1× | batch-egg-rewrite |
| 215× | add-sqr-sqrt_binary64 |
| 215× | add-sqr-sqrt_binary64 |
| 203× | add-cbrt-cube_binary64 |
| 203× | add-cbrt-cube_binary64 |
| 202× | *-un-lft-identity_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 68 |
| 1 | 484 | 68 |
| 2 | 6734 | 68 |
| 0 | 8 | 13 |
| 1 | 180 | 13 |
| 2 | 2515 | 13 |
| 0 | 8 | 13 |
| 0 | 18 | 26 |
| 1 | 445 | 26 |
| 2 | 6242 | 26 |
| 0 | 18 | 26 |
| 0 | 20 | 29 |
| 1 | 484 | 29 |
| 2 | 6730 | 29 |
| 0 | 20 | 29 |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| 1× | unsound |
| 1× | unsound |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) x)) (/.f64 1/6 x)) |
(*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) x)) (/.f64 1/6 x)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -3/8) (/.f64 1 (*.f64 (*.f64 x x) 9/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) (cbrt.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6))) (cbrt.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) (sqrt.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6) (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6))))))) |
((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x))) (cbrt.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x)))) (cbrt.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x))) (sqrt.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) 3) (pow.f64 (/.f64 1/6 x) 3)) (+.f64 (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x))) (-.f64 (*.f64 (/.f64 1/6 x) (/.f64 1/6 x)) (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (/.f64 1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x))) (*.f64 (/.f64 1/6 x) (/.f64 1/6 x))) (-.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (/.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x)) (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x))) (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x)) y) (*.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x)) y)) (*.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x) (/.f64 1/6 x)) y))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2 | 48 |
| 1× | saturated |
| Inputs |
|---|
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
| Outputs |
|---|
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
-1/6 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
Compiled 15067 to 8635 computations (42.7% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 486 | 8 | 494 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 4 | 6 |
| Total | 492 | 14 | 506 |
| Status | Error | Program |
|---|---|---|
| ▶ | 48.9b | (+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
| ✓ | 0.1b | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 56.7b | x | |
| 45.4b | (+.f64 (*.f64 1/2 (+.f64 x y)) (*.f64 (/.f64 y x) (*.f64 y 1/6))) | |
| ✓ | 29.2b | (*.f64 1/2 (fabs.f64 (-.f64 y x))) |
| 45.2b | (*.f64 x 1/2) | |
| ✓ | 30.6b | (*.f64 1/2 (+.f64 y x)) |
| ▶ | 62.2b | (-.f64 (/.f64 (*.f64 x -9/2) (/.f64 y x)) x) |
| 49.6b | (+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (*.f64 (*.f64 (*.f64 x x) -3/8) (/.f64 1 (*.f64 (*.f64 x x) 9/4)))) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) | |
| ▶ | 62.5b | (neg.f64 x) |
| ▶ | 44.9b | (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
| ▶ | 49.6b | (+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x))) (*.f64 (/.f64 1/6 x) (/.f64 1/6 x))) (-.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (/.f64 1/6 x))) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
| 46.5b | (fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (-.f64 y x) 4)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) x) | |
| ✓ | 48.0b | (*.f64 1/2 y) |
Compiled 595 to 376 computations (36.8% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)) |
| ✓ | 0.4b | (*.f64 1/3 y) |
| ✓ | 0.4b | (*.f64 -1/6 y) |
| ✓ | 8.2b | (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x) |
Compiled 119 to 83 computations (30.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x) |
| 2.0ms | x | @ | inf | (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x) |
| 1× | batch-egg-rewrite |
| 686× | log-prod_binary64 |
| 459× | fma-def_binary64 |
| 322× | pow2_binary64 |
| 237× | pow-unpow_binary64 |
| 227× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 31 |
| 1 | 257 | 31 |
| 2 | 3583 | 31 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x) |
(*.f64 -1/6 y) |
(*.f64 1/3 y) |
(*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 y x) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)))) 2)) (/.f64 1/3 (/.f64 (/.f64 x (*.f64 y 1/2)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 x (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (*.f64 y 1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) (*.f64 y (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (*.f64 y 1/2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y x) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 y 1/2))) 2) (*.f64 (cbrt.f64 (*.f64 y (*.f64 y 1/2))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))) 2) (cbrt.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (*.f64 y 1/2))) (*.f64 (sqrt.f64 (*.f64 y (*.f64 y 1/2))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))) (sqrt.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 y 1/2) (neg.f64 y)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 y (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (*.f64 y 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y 1/2) 1) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 y 1/2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 y (*.f64 y 1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 y 1/2))) 1) (/.f64 (sqrt.f64 (*.f64 y (*.f64 y 1/2))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 y 1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y 1/2) (cbrt.f64 (*.f64 x x))) (/.f64 y (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y 1/2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (*.f64 y 1/2))) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (*.f64 y (*.f64 y 1/2))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (*.f64 y 1/2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y 1/2) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 y (*.f64 y 1/2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 y 1/2))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (*.f64 y (*.f64 y 1/2))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (*.f64 y 1/2)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 y 1/2)) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y 1/2)) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (*.f64 y 1/2)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 y 1/2)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (*.f64 y y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/216 (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/216 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y -1/6)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 y))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 y)))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y 1/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 1/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y 1/3)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 (/.f64 (/.f64 x (*.f64 y 1/2)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (/.f64 (/.f64 x (*.f64 y 1/2)) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (/.f64 (/.f64 x (*.f64 y 1/2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/3) (/.f64 x (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 1/3 (*.f64 y (*.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 y (*.f64 y 1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/3 (*.f64 y (*.f64 y 1/2)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (*.f64 y (*.f64 y 1/2))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (*.f64 y (*.f64 y 1/2))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/3 (*.f64 y (*.f64 y 1/2))) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 y 1/2) (neg.f64 y)) 1/3) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (*.f64 (*.f64 y 1/2) (neg.f64 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (/.f64 (/.f64 x (*.f64 y 1/2)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 (/.f64 (/.f64 x (*.f64 y 1/2)) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (/.f64 (/.f64 x (*.f64 y 1/2)) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 (/.f64 (/.f64 x (*.f64 y 1/2)) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 1/3 (*.f64 y (*.f64 y 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 y x) (*.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (/.f64 (/.f64 x (*.f64 y 1/2)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 (/.f64 (/.f64 x (*.f64 y 1/2)) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (/.f64 (/.f64 x (*.f64 y 1/2)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (/.f64 (/.f64 x (*.f64 y 1/2)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (/.f64 (/.f64 x (*.f64 y 1/2)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (/.f64 (/.f64 x (*.f64 y 1/2)) y))) 1)))))) |
| 1× | egg-herbie |
| 1141× | associate-*l/_binary64 |
| 961× | associate-*r/_binary64 |
| 676× | *-commutative_binary64 |
| 370× | associate-/l*_binary64 |
| 343× | sqr-pow_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 240 |
| 1 | 21 | 240 |
| 2 | 40 | 240 |
| 3 | 84 | 240 |
| 4 | 247 | 240 |
| 5 | 921 | 240 |
| 6 | 2439 | 240 |
| 7 | 3685 | 240 |
| 8 | 3787 | 240 |
| 9 | 3938 | 240 |
| 10 | 4116 | 240 |
| 11 | 4395 | 240 |
| 12 | 4720 | 240 |
| 13 | 7445 | 240 |
| 14 | 7909 | 240 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
| Outputs |
|---|
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (*.f64 y y) x)) |
(*.f64 1/2 (/.f64 y (/.f64 x y))) |
(/.f64 1/2 (/.f64 (/.f64 x y) y)) |
(*.f64 y (*.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (*.f64 y y) x)) |
(*.f64 1/2 (/.f64 y (/.f64 x y))) |
(/.f64 1/2 (/.f64 (/.f64 x y) y)) |
(*.f64 y (*.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (*.f64 y y) x)) |
(*.f64 1/2 (/.f64 y (/.f64 x y))) |
(/.f64 1/2 (/.f64 (/.f64 x y) y)) |
(*.f64 y (*.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (*.f64 y y) x)) |
(*.f64 1/2 (/.f64 y (/.f64 x y))) |
(/.f64 1/2 (/.f64 (/.f64 x y) y)) |
(*.f64 y (*.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (*.f64 y y) x)) |
(*.f64 1/2 (/.f64 y (/.f64 x y))) |
(/.f64 1/2 (/.f64 (/.f64 x y) y)) |
(*.f64 y (*.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (*.f64 y y) x)) |
(*.f64 1/2 (/.f64 y (/.f64 x y))) |
(/.f64 1/2 (/.f64 (/.f64 x y) y)) |
(*.f64 y (*.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (*.f64 y y) x)) |
(*.f64 1/2 (/.f64 y (/.f64 x y))) |
(/.f64 1/2 (/.f64 (/.f64 x y) y)) |
(*.f64 y (*.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (*.f64 y y) x)) |
(*.f64 1/2 (/.f64 y (/.f64 x y))) |
(/.f64 1/2 (/.f64 (/.f64 x y) y)) |
(*.f64 y (*.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (*.f64 y y) x)) |
(*.f64 1/2 (/.f64 y (/.f64 x y))) |
(/.f64 1/2 (/.f64 (/.f64 x y) y)) |
(*.f64 y (*.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (*.f64 y y) x)) |
(*.f64 1/2 (/.f64 y (/.f64 x y))) |
(/.f64 1/2 (/.f64 (/.f64 x y) y)) |
(*.f64 y (*.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (*.f64 y y) x)) |
(*.f64 1/2 (/.f64 y (/.f64 x y))) |
(/.f64 1/2 (/.f64 (/.f64 x y) y)) |
(*.f64 y (*.f64 1/2 (/.f64 y x))) |
(*.f64 1/2 (/.f64 (pow.f64 y 2) x)) |
(*.f64 1/2 (/.f64 (*.f64 y y) x)) |
(*.f64 1/2 (/.f64 y (/.f64 x y))) |
(/.f64 1/2 (/.f64 (/.f64 x y) y)) |
(*.f64 y (*.f64 1/2 (/.f64 y x))) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(/.f64 (*.f64 1/6 (*.f64 y y)) x) |
(/.f64 (*.f64 (*.f64 y y) 1/6) x) |
(/.f64 (*.f64 y (*.f64 y 1/6)) x) |
(*.f64 (*.f64 y y) (/.f64 1/6 x)) |
(*.f64 y (/.f64 y (/.f64 x 1/6))) |
(*.f64 y (*.f64 y (/.f64 1/6 x))) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(/.f64 (*.f64 1/6 (*.f64 y y)) x) |
(/.f64 (*.f64 (*.f64 y y) 1/6) x) |
(/.f64 (*.f64 y (*.f64 y 1/6)) x) |
(*.f64 (*.f64 y y) (/.f64 1/6 x)) |
(*.f64 y (/.f64 y (/.f64 x 1/6))) |
(*.f64 y (*.f64 y (/.f64 1/6 x))) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(/.f64 (*.f64 1/6 (*.f64 y y)) x) |
(/.f64 (*.f64 (*.f64 y y) 1/6) x) |
(/.f64 (*.f64 y (*.f64 y 1/6)) x) |
(*.f64 (*.f64 y y) (/.f64 1/6 x)) |
(*.f64 y (/.f64 y (/.f64 x 1/6))) |
(*.f64 y (*.f64 y (/.f64 1/6 x))) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(/.f64 (*.f64 1/6 (*.f64 y y)) x) |
(/.f64 (*.f64 (*.f64 y y) 1/6) x) |
(/.f64 (*.f64 y (*.f64 y 1/6)) x) |
(*.f64 (*.f64 y y) (/.f64 1/6 x)) |
(*.f64 y (/.f64 y (/.f64 x 1/6))) |
(*.f64 y (*.f64 y (/.f64 1/6 x))) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(/.f64 (*.f64 1/6 (*.f64 y y)) x) |
(/.f64 (*.f64 (*.f64 y y) 1/6) x) |
(/.f64 (*.f64 y (*.f64 y 1/6)) x) |
(*.f64 (*.f64 y y) (/.f64 1/6 x)) |
(*.f64 y (/.f64 y (/.f64 x 1/6))) |
(*.f64 y (*.f64 y (/.f64 1/6 x))) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(/.f64 (*.f64 1/6 (*.f64 y y)) x) |
(/.f64 (*.f64 (*.f64 y y) 1/6) x) |
(/.f64 (*.f64 y (*.f64 y 1/6)) x) |
(*.f64 (*.f64 y y) (/.f64 1/6 x)) |
(*.f64 y (/.f64 y (/.f64 x 1/6))) |
(*.f64 y (*.f64 y (/.f64 1/6 x))) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(/.f64 (*.f64 1/6 (*.f64 y y)) x) |
(/.f64 (*.f64 (*.f64 y y) 1/6) x) |
(/.f64 (*.f64 y (*.f64 y 1/6)) x) |
(*.f64 (*.f64 y y) (/.f64 1/6 x)) |
(*.f64 y (/.f64 y (/.f64 x 1/6))) |
(*.f64 y (*.f64 y (/.f64 1/6 x))) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(/.f64 (*.f64 1/6 (*.f64 y y)) x) |
(/.f64 (*.f64 (*.f64 y y) 1/6) x) |
(/.f64 (*.f64 y (*.f64 y 1/6)) x) |
(*.f64 (*.f64 y y) (/.f64 1/6 x)) |
(*.f64 y (/.f64 y (/.f64 x 1/6))) |
(*.f64 y (*.f64 y (/.f64 1/6 x))) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(/.f64 (*.f64 1/6 (*.f64 y y)) x) |
(/.f64 (*.f64 (*.f64 y y) 1/6) x) |
(/.f64 (*.f64 y (*.f64 y 1/6)) x) |
(*.f64 (*.f64 y y) (/.f64 1/6 x)) |
(*.f64 y (/.f64 y (/.f64 x 1/6))) |
(*.f64 y (*.f64 y (/.f64 1/6 x))) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(/.f64 (*.f64 1/6 (*.f64 y y)) x) |
(/.f64 (*.f64 (*.f64 y y) 1/6) x) |
(/.f64 (*.f64 y (*.f64 y 1/6)) x) |
(*.f64 (*.f64 y y) (/.f64 1/6 x)) |
(*.f64 y (/.f64 y (/.f64 x 1/6))) |
(*.f64 y (*.f64 y (/.f64 1/6 x))) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(/.f64 (*.f64 1/6 (*.f64 y y)) x) |
(/.f64 (*.f64 (*.f64 y y) 1/6) x) |
(/.f64 (*.f64 y (*.f64 y 1/6)) x) |
(*.f64 (*.f64 y y) (/.f64 1/6 x)) |
(*.f64 y (/.f64 y (/.f64 x 1/6))) |
(*.f64 y (*.f64 y (/.f64 1/6 x))) |
(*.f64 1/6 (/.f64 (pow.f64 y 2) x)) |
(/.f64 (*.f64 1/6 (*.f64 y y)) x) |
(/.f64 (*.f64 (*.f64 y y) 1/6) x) |
(/.f64 (*.f64 y (*.f64 y 1/6)) x) |
(*.f64 (*.f64 y y) (/.f64 1/6 x)) |
(*.f64 y (/.f64 y (/.f64 x 1/6))) |
(*.f64 y (*.f64 y (/.f64 1/6 x))) |
Compiled 5 to 3 computations (40% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 (*.f64 x -9/2) (/.f64 y x)) x) |
| ✓ | 0.1b | (/.f64 (*.f64 x -9/2) (/.f64 y x)) |
Compiled 27 to 13 computations (51.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 x -9/2) (/.f64 y x)) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 x -9/2) (/.f64 y x)) |
| 1.0ms | y | @ | inf | (/.f64 (*.f64 x -9/2) (/.f64 y x)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 x -9/2) (/.f64 y x)) |
| 1.0ms | x | @ | inf | (-.f64 (/.f64 (*.f64 x -9/2) (/.f64 y x)) x) |
| 1× | batch-egg-rewrite |
| 954× | prod-diff_binary64 |
| 550× | log-prod_binary64 |
| 306× | fma-def_binary64 |
| 254× | pow2_binary64 |
| 209× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 1 | 186 | 23 |
| 2 | 2890 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x -9/2) (/.f64 y x)) |
(-.f64 (/.f64 (*.f64 x -9/2) (/.f64 y x)) x) |
| Outputs |
|---|
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x)) (-.f64 (sqrt.f64 (*.f64 x (/.f64 x (/.f64 y -9/2)))) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (/.f64 x (/.f64 y -9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x -9/2) 1) (/.f64 x y) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x -9/2) 1) (/.f64 x y) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x -9/2) (neg.f64 y)) (neg.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x -9/2) (neg.f64 y)) (neg.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (/.f64 y -9/2)) 1) x (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (/.f64 y -9/2)) 1) x (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (/.f64 y -9/2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (/.f64 y -9/2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (/.f64 y -9/2)) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (/.f64 y -9/2)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 x) 1)))))) |
| 1× | egg-herbie |
| 617× | distribute-rgt-neg-in_binary64 |
| 588× | fma-def_binary64 |
| 510× | distribute-lft-neg-in_binary64 |
| 397× | cancel-sign-sub-inv_binary64 |
| 355× | distribute-neg-frac_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 531 |
| 1 | 23 | 513 |
| 2 | 43 | 513 |
| 3 | 88 | 513 |
| 4 | 237 | 513 |
| 5 | 923 | 477 |
| 6 | 3185 | 477 |
| 7 | 6676 | 477 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
| Outputs |
|---|
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(*.f64 -9/2 (/.f64 (pow.f64 x 2) y)) |
(*.f64 -9/2 (/.f64 (*.f64 x x) y)) |
(*.f64 -9/2 (*.f64 (/.f64 x y) x)) |
(*.f64 -9/2 (*.f64 x (/.f64 x y))) |
(*.f64 -9/2 (/.f64 x (/.f64 y x))) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
(+.f64 (*.f64 -1 x) (*.f64 -9/2 (/.f64 (pow.f64 x 2) y))) |
(fma.f64 -1 x (*.f64 -9/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 -9/2 (/.f64 (*.f64 x x) y) (neg.f64 x)) |
(fma.f64 -9/2 (*.f64 (/.f64 x y) x) (neg.f64 x)) |
(-.f64 (*.f64 -9/2 (/.f64 (*.f64 x x) y)) x) |
(fma.f64 -9/2 (*.f64 x (/.f64 x y)) (neg.f64 x)) |
(*.f64 x (fma.f64 -9/2 (/.f64 x y) -1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) y) |
| ✓ | 19.1b | (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) |
| 30.5b | (/.f64 (*.f64 x x) x) | |
| 32.6b | (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4)) |
Compiled 251 to 137 computations (45.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) |
| 0.0ms | x | @ | inf | (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) y) |
| 0.0ms | x | @ | inf | (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) |
| 0.0ms | x | @ | -inf | (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) |
| 0.0ms | y | @ | inf | (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) y) |
| 1× | batch-egg-rewrite |
| 513× | log-prod_binary64 |
| 319× | pow2_binary64 |
| 310× | fma-def_binary64 |
| 283× | pow-prod-down_binary64 |
| 225× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 20 |
| 1 | 379 | 8 |
| 2 | 3905 | 2 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) |
(*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 0))))) |
((#(struct:change #<rule egg-rr> (2) ((x . 0))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 36 |
| 1× | saturated |
| Inputs |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
| Outputs |
|---|
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 26.0b | (-.f64 (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x))) (*.f64 (/.f64 1/6 x) (/.f64 1/6 x))) |
| 30.5b | (/.f64 (*.f64 x x) x) | |
| ✓ | 31.0b | (/.f64 (*.f64 x x) (*.f64 x x)) |
| 32.6b | (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4)) |
Compiled 595 to 301 computations (49.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 x x) (*.f64 x x)) |
| 0.0ms | x | @ | inf | (-.f64 (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x))) (*.f64 (/.f64 1/6 x) (/.f64 1/6 x))) |
| 0.0ms | x | @ | 0 | (-.f64 (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x))) (*.f64 (/.f64 1/6 x) (/.f64 1/6 x))) |
| 0.0ms | x | @ | -inf | (-.f64 (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x))) (*.f64 (/.f64 1/6 x) (/.f64 1/6 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x x) (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 569× | log-prod_binary64 |
| 318× | fma-def_binary64 |
| 282× | fma-neg_binary64 |
| 227× | expm1-udef_binary64 |
| 227× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 17 |
| 1 | 425 | 8 |
| 2 | 4944 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (*.f64 x x)) |
(-.f64 (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x))) (*.f64 (/.f64 1/6 x) (/.f64 1/6 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/36 (pow.f64 x -2)) (*.f64 1/36 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/36 (pow.f64 x -2)) (fma.f64 1/36 (pow.f64 x -2) (pow.f64 (/.f64 -1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 -1/3 x) 2) (pow.f64 (/.f64 -1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 -1/3 x) 2) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x -2)))) (cbrt.f64 (/.f64 1/1296 (pow.f64 x 4))) (*.f64 1/36 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 -1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 -1/3 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 -1/3 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1/3 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 -1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 2) (/.f64 1 (pow.f64 (/.f64 -1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 x) 2)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 -1/3 x) 2)) 2) (cbrt.f64 (pow.f64 (/.f64 -1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 -1/6 x) 6) (pow.f64 (/.f64 -1/6 x) 6)) (/.f64 1 (+.f64 (/.f64 1/1296 (pow.f64 x 4)) (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 x) (/.f64 -1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/1296 (pow.f64 x 4)) (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 2)) (-.f64 (pow.f64 (/.f64 -1/6 x) 6) (pow.f64 (/.f64 -1/6 x) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (/.f64 -1/3 x) 2) (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 2) (pow.f64 (/.f64 -1/3 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 3) (+.f64 (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 2) (-.f64 (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 2) (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -1/6 x) 6) (pow.f64 (/.f64 -1/6 x) 6)) (+.f64 (/.f64 1/1296 (pow.f64 x 4)) (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 -1/6 x) 6) (pow.f64 (/.f64 -1/6 x) 6))) (neg.f64 (+.f64 (/.f64 1/1296 (pow.f64 x 4)) (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (pow.f64 (/.f64 -1/3 x) 2) 2)) (neg.f64 (pow.f64 (/.f64 -1/3 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -1/6 x) 6) (pow.f64 (/.f64 -1/6 x) 6)) (+.f64 (/.f64 1/1296 (pow.f64 x 4)) (pow.f64 (pow.f64 (/.f64 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| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2 | 24 |
| 1 | 4 | 24 |
| 1× | saturated |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
| Outputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
Compiled 30839 to 17993 computations (41.7% saved)
20 alts after pruning (13 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 700 | 8 | 708 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 7 | 8 |
| Total | 702 | 20 | 722 |
| Status | Error | Program |
|---|---|---|
| 56.7b | x | |
| 45.4b | (+.f64 (*.f64 1/2 (+.f64 x y)) (*.f64 (/.f64 y x) (*.f64 y 1/6))) | |
| 44.9b | (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (neg.f64 (/.f64 (*.f64 y (*.f64 y 1/2)) (neg.f64 x)))) (*.f64 1/3 y))) (*.f64 -1/6 y)) | |
| ✓ | 44.9b | (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
| ✓ | 29.2b | (*.f64 1/2 (fabs.f64 (-.f64 y x))) |
| 45.2b | (*.f64 x 1/2) | |
| ✓ | 30.6b | (*.f64 1/2 (+.f64 y x)) |
| ✓ | 62.2b | (-.f64 (/.f64 (*.f64 x -9/2) (/.f64 y x)) x) |
| 49.6b | (+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x))) (*.f64 (/.f64 1/6 x) (/.f64 1/6 x))) (-.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (/.f64 1/6 x))) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) | |
| 44.3b | (+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) | |
| 44.9b | (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (/.f64 (*.f64 1/3 (*.f64 y (*.f64 y 1/2))) x) (*.f64 1/3 y))) (*.f64 -1/6 y)) | |
| 49.6b | (+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (*.f64 (*.f64 (*.f64 x x) -3/8) (/.f64 1 (*.f64 (*.f64 x x) 9/4)))) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) | |
| ✓ | 62.5b | (neg.f64 x) |
| ✓ | 48.0b | (*.f64 1/2 y) |
| 45.4b | (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (/.f64 (*.f64 y 1/3) (/.f64 x (*.f64 y 1/2))) (*.f64 1/3 y))) (*.f64 -1/6 y)) | |
| ✓ | 0.1b | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 45.4b | (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (*.f64 (*.f64 y 1/2) (*.f64 y (/.f64 1 x)))) (*.f64 1/3 y))) (*.f64 -1/6 y)) | |
| 45.4b | (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (*.f64 y (/.f64 1/6 x))) (*.f64 1/3 y))) (*.f64 -1/6 y)) | |
| 46.5b | (fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (-.f64 y x) 4)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) x) | |
| 44.9b | (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (/.f64 1 (/.f64 x (*.f64 1/3 (*.f64 y (*.f64 y 1/2))))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
Compiled 436 to 298 computations (31.7% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(*.f64 x 1/2) |
(*.f64 x 1/2) |
(*.f64 1/2 y) |
(*.f64 1/2 (+.f64 y x)) |
(*.f64 1/2 (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 (*.f64 x -9/2) (/.f64 y x)) x) |
(+.f64 (*.f64 1/2 (+.f64 x y)) (*.f64 (/.f64 y x) (*.f64 y 1/6))) |
(/.f64 (*.f64 x (*.f64 x 3/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x 1/4))) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
(/.f64 (*.f64 x (+.f64 (*.f64 3/4 x) (*.f64 1/2 y))) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (*.f64 y (/.f64 1/6 x))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (/.f64 (*.f64 1/3 (*.f64 y (*.f64 y 1/2))) x) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (/.f64 (*.f64 y 1/3) (/.f64 x (*.f64 y 1/2))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (neg.f64 (/.f64 (*.f64 y (*.f64 y 1/2)) (neg.f64 x)))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (*.f64 (*.f64 y 1/2) (*.f64 y (/.f64 1 x)))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (/.f64 1 (/.f64 x (*.f64 1/3 (*.f64 y (*.f64 y 1/2))))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (*.f64 (*.f64 (*.f64 x x) -3/8) (/.f64 1 (*.f64 (*.f64 x x) 9/4)))) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x))) (*.f64 (/.f64 1/6 x) (/.f64 1/6 x))) (-.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (/.f64 1/6 x))) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x))) (*.f64 (/.f64 1/6 x) (/.f64 1/6 x))) (-.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (/.f64 1/6 x))) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(*.f64 1/2 (fabs.f64 (-.f64 y x))) |
(fma.f64 (-.f64 y x) 1/2 x) |
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (-.f64 y x) 2) 1/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (-.f64 y x) 4)))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 y x) 2) 1/4))) x) |
| Outputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
3 calls:
| 18.0ms | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
| 17.0ms | y |
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
Compiled 685 to 398 computations (41.9% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(*.f64 x 1/2) |
(*.f64 x 1/2) |
(*.f64 1/2 y) |
(*.f64 1/2 (+.f64 y x)) |
(*.f64 1/2 (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 (*.f64 x -9/2) (/.f64 y x)) x) |
(+.f64 (*.f64 1/2 (+.f64 x y)) (*.f64 (/.f64 y x) (*.f64 y 1/6))) |
(/.f64 (*.f64 x (*.f64 x 3/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x 1/4))) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
(/.f64 (*.f64 x (+.f64 (*.f64 3/4 x) (*.f64 1/2 y))) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (*.f64 y (/.f64 1/6 x))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (/.f64 (*.f64 1/3 (*.f64 y (*.f64 y 1/2))) x) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (/.f64 (*.f64 y 1/3) (/.f64 x (*.f64 y 1/2))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (neg.f64 (/.f64 (*.f64 y (*.f64 y 1/2)) (neg.f64 x)))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (*.f64 (*.f64 y 1/2) (*.f64 y (/.f64 1 x)))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (/.f64 1 (/.f64 x (*.f64 1/3 (*.f64 y (*.f64 y 1/2))))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (*.f64 (*.f64 (*.f64 x x) -3/8) (/.f64 1 (*.f64 (*.f64 x x) 9/4)))) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x))) (*.f64 (/.f64 1/6 x) (/.f64 1/6 x))) (-.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (/.f64 1/6 x))) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x))) (*.f64 (/.f64 1/6 x) (/.f64 1/6 x))) (-.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (/.f64 1/6 x))) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(*.f64 1/2 (fabs.f64 (-.f64 y x))) |
(fma.f64 (-.f64 y x) 1/2 x) |
| Outputs |
|---|
(*.f64 1/2 (fabs.f64 (-.f64 y x))) |
(*.f64 x 1/2) |
(*.f64 1/2 (fabs.f64 (-.f64 y x))) |
(*.f64 1/2 (+.f64 y x)) |
2 calls:
| 52.0ms | y |
| 27.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.9b | 2 | x |
| 17.1b | 4 | y |
Compiled 628 to 366 computations (41.7% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | -3.735633306313992e-223 | -1.6480587708485636e-223 |
| 20.0ms | -5.745546530603745e-28 | -4.912138894048362e-29 |
| 19.0ms | -9.871622400645874e-9 | -3.6657820437337247e-13 |
Compiled 15 to 11 computations (26.7% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(*.f64 x 1/2) |
(*.f64 x 1/2) |
(*.f64 1/2 y) |
(*.f64 1/2 (+.f64 y x)) |
(*.f64 1/2 (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 (*.f64 x -9/2) (/.f64 y x)) x) |
(+.f64 (*.f64 1/2 (+.f64 x y)) (*.f64 (/.f64 y x) (*.f64 y 1/6))) |
(/.f64 (*.f64 x (*.f64 x 3/4)) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x 1/4))) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
(/.f64 (*.f64 x (+.f64 (*.f64 3/4 x) (*.f64 1/2 y))) (-.f64 x (*.f64 (-.f64 y x) 1/2))) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (*.f64 y (/.f64 1/6 x))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (/.f64 (*.f64 1/3 (*.f64 y (*.f64 y 1/2))) x) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (/.f64 (*.f64 y 1/3) (/.f64 x (*.f64 y 1/2))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (neg.f64 (/.f64 (*.f64 y (*.f64 y 1/2)) (neg.f64 x)))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (*.f64 (*.f64 y 1/2) (*.f64 y (/.f64 1 x)))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (/.f64 1 (/.f64 x (*.f64 1/3 (*.f64 y (*.f64 y 1/2))))) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 1/3 (/.f64 (*.f64 y (-.f64 (*.f64 1/3 y) (*.f64 -1/6 y))) x)) (*.f64 1/3 y))) (*.f64 -1/6 y)) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (*.f64 (*.f64 (*.f64 x x) -3/8) (/.f64 1 (*.f64 (*.f64 x x) 9/4)))) x)) (/.f64 1/6 x)) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) -1/6) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x))) (*.f64 (/.f64 1/6 x) (/.f64 1/6 x))) (-.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (/.f64 1/6 x))) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 y (-.f64 (-.f64 (*.f64 1/3 (/.f64 x x)) (/.f64 (*.f64 (*.f64 x x) -3/8) (*.f64 (*.f64 x x) 9/4))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x))) (*.f64 (/.f64 1/6 x) (/.f64 1/6 x))) (-.f64 (*.f64 -1/3 (/.f64 (-.f64 1/3 (*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) -1/6)) x)) (/.f64 1/6 x))) y))) (*.f64 1/2 (/.f64 (*.f64 x x) x))) |
| Outputs |
|---|
(*.f64 1/2 (+.f64 y x)) |
2 calls:
| 14.0ms | x |
| 13.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 30.6b | 1 | x |
| 30.6b | 1 | y |
Compiled 616 to 361 computations (41.4% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(*.f64 x 1/2) |
(*.f64 x 1/2) |
(*.f64 1/2 y) |
| Outputs |
|---|
(*.f64 x 1/2) |
(*.f64 1/2 y) |
2 calls:
| 15.0ms | y |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 37.3b | 3 | x |
| 36.9b | 2 | y |
Compiled 20 to 13 computations (35% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.7539199192809811e-23 | 2.6382444509052362e-23 |
Compiled 15 to 11 computations (26.7% saved)
| Inputs |
|---|
x |
(neg.f64 x) |
(*.f64 x 1/2) |
(*.f64 x 1/2) |
| Outputs |
|---|
(*.f64 x 1/2) |
2 calls:
| 5.0ms | y |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 45.2b | 1 | x |
| 45.2b | 1 | y |
Compiled 17 to 11 computations (35.3% saved)
Total -6.2b remaining (-11%)
Threshold costs -6.2b (-11%)
| Inputs |
|---|
x |
(neg.f64 x) |
| Outputs |
|---|
x |
2 calls:
| 4.0ms | x |
| 3.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 56.7b | 1 | x |
| 56.7b | 1 | y |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
| 6× | +-commutative_binary64 |
| 6× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | neg-sub0_binary64 |
| 2× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 85 |
| 1 | 37 | 85 |
| 2 | 44 | 85 |
| 3 | 49 | 85 |
| 4 | 52 | 85 |
| 5 | 53 | 85 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(if (<=.f64 y -5967029600813473/604462909807314587353088) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (if (<=.f64 y -6406498460264787/11150372599265311570767859136324180752990208) (*.f64 x 1/2) (if (<=.f64 y -2490925680244838912/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (*.f64 1/2 (+.f64 y x))))) |
(*.f64 1/2 (+.f64 y x)) |
(if (<=.f64 y 5968280215227136/340282366920938463463374607431768211456) (*.f64 x 1/2) (*.f64 1/2 y)) |
(*.f64 x 1/2) |
x |
| Outputs |
|---|
(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)) |
(if (<=.f64 y -5967029600813473/604462909807314587353088) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (if (<=.f64 y -6406498460264787/11150372599265311570767859136324180752990208) (*.f64 x 1/2) (if (<=.f64 y -2490925680244838912/6668014432879854274079851790721257797144758322315908160396257811764037237817632071521432200871554290742929910593433240445888801654119365080363356052330830046095157579514014558463078285911814024728965016135886601981690748037476461291163877376) (*.f64 1/2 (fabs.f64 (-.f64 y x))) (*.f64 1/2 (+.f64 y x))))) |
(if (<=.f64 y -5967029600813473/604462909807314587353088) (*.f64 (fabs.f64 (-.f64 y x)) 1/2) (if (<=.f64 y -6406498460264787/11150372599265311570767859136324180752990208) (*.f64 x 1/2) (if (<=.f64 y -4865089219228201/13023465689218465379062210528752456635048356098273258125773941038601635230112562639690297267327254474107284981627799297745876565730701884922584679789708652433779604647488309684498199777171511767048759797140403519495489742260696213459304448) (*.f64 (fabs.f64 (-.f64 y x)) 1/2) (*.f64 1/2 (+.f64 x y))))) |
(*.f64 1/2 (+.f64 y x)) |
(*.f64 1/2 (+.f64 x y)) |
(if (<=.f64 y 5968280215227136/340282366920938463463374607431768211456) (*.f64 x 1/2) (*.f64 1/2 y)) |
(if (<=.f64 y 23313594590731/1329227995784915872903807060280344576) (*.f64 x 1/2) (*.f64 y 1/2)) |
(*.f64 x 1/2) |
x |
Compiled 71 to 49 computations (31% saved)
Compiled 61 to 36 computations (41% saved)
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