Time bar (total: 3.0s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 50% | 50% | 2 |
| 0% | 50% | 50% | 3 |
| 0% | 50% | 50% | 4 |
| 12.5% | 37.5% | 50% | 5 |
| 18.7% | 31.2% | 50% | 6 |
| 28.1% | 21.9% | 50% | 7 |
| 32.8% | 17.2% | 50% | 8 |
| 37.5% | 11.7% | 50.8% | 9 |
| 39.8% | 9% | 51.2% | 10 |
| 42.1% | 6% | 51.8% | 11 |
| 43.3% | 4.6% | 52.1% | 12 |
| 44.5% | 3.1% | 52.4% | 13 |
| 45.1% | 2.3% | 52.6% | 14 |
Compiled 17 to 14 computations (17.6% saved)
| 989.0ms | 8256× | body | 128 | valid |
| 10.0ms | 89× | body | 128 | invalid |
Compiled 34 to 28 computations (17.6% saved)
| 2× | egg-herbie |
| 980× | fma-neg_binary64 |
| 456× | cancel-sign-sub-inv_binary64 |
| 286× | fma-def_binary64 |
| 206× | div-sub_binary64 |
| 204× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 42 |
| 1 | 46 | 36 |
| 2 | 100 | 36 |
| 3 | 209 | 36 |
| 4 | 445 | 32 |
| 5 | 834 | 32 |
| 6 | 1729 | 32 |
| 7 | 3228 | 32 |
| 8 | 4595 | 32 |
| 9 | 4872 | 32 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
(-.f64 (-.f64 1 (/.f64 1 (*.f64 y 9))) (/.f64 x (*.f64 3 (sqrt.f64 y)))) |
| Outputs |
|---|
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x))))) |
(-.f64 1 (-.f64 (/.f64 1/9 x) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))) |
(+.f64 (/.f64 -1/9 x) (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)) |
(+.f64 (/.f64 -1/9 x) (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 1)) |
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) |
(-.f64 (-.f64 1 (/.f64 1 (*.f64 y 9))) (/.f64 x (*.f64 3 (sqrt.f64 y)))) |
(-.f64 1 (+.f64 (/.f64 1 (*.f64 9 y)) (/.f64 x (*.f64 3 (sqrt.f64 y))))) |
(-.f64 1 (+.f64 (/.f64 1/9 y) (/.f64 x (*.f64 3 (sqrt.f64 y))))) |
(-.f64 (-.f64 1 (/.f64 1/9 y)) (/.f64 x (*.f64 3 (sqrt.f64 y)))) |
(+.f64 1 (+.f64 (/.f64 -1/9 y) (*.f64 -1/3 (/.f64 x (sqrt.f64 y))))) |
(fma.f64 -1/3 (/.f64 x (sqrt.f64 y)) (-.f64 1 (/.f64 1/9 y))) |
(-.f64 1 (fma.f64 1/3 (/.f64 x (sqrt.f64 y)) (/.f64 1/9 y))) |
(fma.f64 (/.f64 x (sqrt.f64 y)) -1/3 (-.f64 1 (/.f64 1/9 y))) |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
| 474× | fma-neg_binary64 |
| 309× | fma-def_binary64 |
| 228× | cancel-sign-sub-inv_binary64 |
| 83× | associate-/l*_binary64 |
| 72× | distribute-rgt-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 21 |
| 1 | 27 | 18 |
| 2 | 56 | 18 |
| 3 | 114 | 18 |
| 4 | 234 | 16 |
| 5 | 440 | 16 |
| 6 | 866 | 16 |
| 7 | 1567 | 16 |
| 8 | 2339 | 16 |
| 9 | 2371 | 16 |
| 10 | 2394 | 16 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| Outputs |
|---|
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 (/.f64 y 3) (sqrt.f64 x)))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x))))) |
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 y (*.f64 3 (sqrt.f64 x))))) |
(fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) |
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| 0.3b | (+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) | |
| ▶ | 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
Compiled 85 to 66 computations (22.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| ✓ | 0.3b | (/.f64 y (*.f64 3 (sqrt.f64 x))) |
| ✓ | 0.3b | (*.f64 3 (sqrt.f64 x)) |
| ✓ | 0.4b | (/.f64 1 (*.f64 x 9)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/.f64 y (*.f64 3 (sqrt.f64 x))) |
| 3.0ms | y | @ | 0 | (/.f64 y (*.f64 3 (sqrt.f64 x))) |
| 1.0ms | x | @ | 0 | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| 1.0ms | x | @ | inf | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| 1.0ms | x | @ | 0 | (*.f64 3 (sqrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 240× | expm1-udef_binary64 |
| 239× | log1p-udef_binary64 |
| 185× | fma-neg_binary64 |
| 144× | add-sqr-sqrt_binary64 |
| 139× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 1 | 290 | 37 |
| 2 | 4125 | 37 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 x 9)) |
(*.f64 3 (sqrt.f64 x)) |
(/.f64 y (*.f64 3 (sqrt.f64 x))) |
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x 9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 9) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1/9 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1/9 x))) (cbrt.f64 (+.f64 1 (/.f64 1/9 x)))) (cbrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (sqrt.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))) (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/3) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 3) (/.f64 (cbrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 3) (/.f64 (sqrt.f64 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (*.f64 y 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 x 9))) (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x 9))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 3 (sqrt.f64 x)))) (/.f64 y (sqrt.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (*.f64 3 (sqrt.f64 x)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 (sqrt.f64 x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (fma.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 x))) y (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (+.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))) (pow.f64 (cbrt.f64 (-.f64 1 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(-.f64 1 (/.f64 1/9 x))) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (*.f64 x 9) -2)))) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (+.f64 (/.f64 1/9 x) (*.f64 y (/.f64 1/3 (sqrt.f64 x))))))))))) |
| 1× | egg-herbie |
| 341× | fma-def_binary64 |
| 277× | fma-neg_binary64 |
| 124× | cancel-sign-sub-inv_binary64 |
| 55× | distribute-rgt-neg-in_binary64 |
| 49× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 417 |
| 1 | 40 | 399 |
| 2 | 88 | 399 |
| 3 | 180 | 399 |
| 4 | 380 | 399 |
| 5 | 666 | 399 |
| 6 | 1080 | 399 |
| 7 | 1319 | 399 |
| 8 | 1389 | 399 |
| 9 | 1396 | 399 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(/.f64 -1/9 x) |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
| Outputs |
|---|
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(/.f64 -1/9 x) |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 1 (/.f64 1/9 x)) |
(+.f64 1 (/.f64 -1/9 x)) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 1/9 x))) |
(-.f64 1 (fma.f64 y (*.f64 1/3 (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 137 | 10 | 147 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 138 | 11 | 149 |
| Status | Error | Program |
|---|---|---|
| 20.5b | (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -3)) (*.f64 3 (sqrt.f64 x))) (*.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (*.f64 x 9) -2))) y)) (*.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (*.f64 x 9) -2))) (*.f64 3 (sqrt.f64 x)))) | |
| 0.3b | (-.f64 (-.f64 1 (*.f64 (/.f64 1 x) 1/9)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| 0.3b | (+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) | |
| 14.8b | (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (*.f64 3 (sqrt.f64 x))) (*.f64 (+.f64 1 (/.f64 1/9 x)) y)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 3 (sqrt.f64 x)))) | |
| 0.6b | (-.f64 (-.f64 1 (*.f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| 0.4b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (*.f64 3 (sqrt.f64 x)))))) | |
| ▶ | 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.3b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 1 (sqrt.f64 (*.f64 3 (sqrt.f64 x)))) (/.f64 y (sqrt.f64 (*.f64 3 (sqrt.f64 x)))))) | |
| 0.4b | (-.f64 (-.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| 0.3b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) | |
| 0.3b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) |
Compiled 3465 to 2558 computations (26.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| ✓ | 0.3b | (/.f64 y (sqrt.f64 (*.f64 x 9))) |
| ✓ | 0.4b | (sqrt.f64 (*.f64 x 9)) |
| 0.4b | (/.f64 1 (*.f64 x 9)) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 y (sqrt.f64 (*.f64 x 9))) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (*.f64 x 9)) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (*.f64 x 9)) |
| 0.0ms | x | @ | -inf | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.0ms | x | @ | inf | (sqrt.f64 (*.f64 x 9)) |
| 1× | batch-egg-rewrite |
| 398× | fma-def_binary64 |
| 215× | expm1-udef_binary64 |
| 214× | log1p-udef_binary64 |
| 178× | fma-neg_binary64 |
| 125× | add-sqr-sqrt_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 1 | 251 | 33 |
| 2 | 3606 | 31 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 x 9)) |
(/.f64 y (sqrt.f64 (*.f64 x 9))) |
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) 3)) (cbrt.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 9)) (cbrt.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 9) 1/4) (pow.f64 (*.f64 x 9) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 9 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 81))) (sqrt.f64 (cbrt.f64 (*.f64 x 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 9 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 81)) 1/2) (pow.f64 (cbrt.f64 (*.f64 x 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 9)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) 3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (sqrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))) (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))) (cbrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))) (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/9 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (*.f64 x 9))) (cbrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x 9))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 x 9) 1/4)) (/.f64 y (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (*.f64 x 9) 1/4)) (/.f64 (cbrt.f64 y) (pow.f64 (*.f64 x 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 x)) (/.f64 (sqrt.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 x) 3) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)))))))) |
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(/.f64 y (*.f64 (sqrt.f64 x) 3)))) (+.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) 3)) (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)))) (cbrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))))))))) |
| 1× | egg-herbie |
| 341× | fma-def_binary64 |
| 277× | fma-neg_binary64 |
| 124× | cancel-sign-sub-inv_binary64 |
| 54× | distribute-rgt-neg-in_binary64 |
| 49× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 369 |
| 1 | 40 | 351 |
| 2 | 88 | 351 |
| 3 | 179 | 351 |
| 4 | 379 | 351 |
| 5 | 665 | 351 |
| 6 | 1079 | 351 |
| 7 | 1318 | 351 |
| 8 | 1388 | 351 |
| 9 | 1395 | 351 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(/.f64 -1/9 x) |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(/.f64 -1/9 x) |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 1 (/.f64 1/9 x)) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) |
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) |
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) |
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) |
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) |
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) |
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) |
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) |
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 1 (+.f64 (*.f64 1/9 (/.f64 1 x)) (*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) |
(-.f64 1 (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 203 | 1 | 204 |
| Fresh | 1 | 9 | 10 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 204 | 11 | 215 |
| Status | Error | Program |
|---|---|---|
| 20.5b | (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -3)) (*.f64 3 (sqrt.f64 x))) (*.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (*.f64 x 9) -2))) y)) (*.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (*.f64 x 9) -2))) (*.f64 3 (sqrt.f64 x)))) | |
| 0.3b | (-.f64 (-.f64 1 (*.f64 (/.f64 1 x) 1/9)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| 0.3b | (+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) | |
| 0.6b | (-.f64 (-.f64 1 (*.f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| ▶ | 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) |
| 14.8b | (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (*.f64 3 (sqrt.f64 x))) (*.f64 (+.f64 1 (/.f64 1/9 x)) y)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 3 (sqrt.f64 x)))) | |
| 0.4b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (*.f64 3 (sqrt.f64 x)))))) | |
| ✓ | 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.3b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (/.f64 1 (sqrt.f64 (*.f64 3 (sqrt.f64 x)))) (/.f64 y (sqrt.f64 (*.f64 3 (sqrt.f64 x)))))) | |
| 0.4b | (-.f64 (-.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| 0.3b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) |
Compiled 5205 to 3802 computations (27% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f64 (/.f64 1/9 x)) |
| ✓ | 0.3b | (*.f64 y (sqrt.f64 (/.f64 1/9 x))) |
| ✓ | 0.4b | (/.f64 1/9 x) |
| 0.4b | (/.f64 1 (*.f64 x 9)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | (*.f64 y (sqrt.f64 (/.f64 1/9 x))) |
| 1.0ms | x | @ | -inf | (*.f64 y (sqrt.f64 (/.f64 1/9 x))) |
| 1.0ms | x | @ | 0 | (sqrt.f64 (/.f64 1/9 x)) |
| 1.0ms | x | @ | inf | (sqrt.f64 (/.f64 1/9 x)) |
| 0.0ms | x | @ | -inf | (sqrt.f64 (/.f64 1/9 x)) |
| 1× | batch-egg-rewrite |
| 673× | pow1_binary64 |
| 631× | add-log-exp_binary64 |
| 631× | log1p-expm1-u_binary64 |
| 631× | expm1-log1p-u_binary64 |
| 70× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 1 | 148 | 19 |
| 2 | 1751 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1/9 x) |
(*.f64 y (sqrt.f64 (/.f64 1/9 x))) |
(sqrt.f64 (/.f64 1/9 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (*.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 x) 1/4) (*.f64 (pow.f64 (/.f64 1/9 x) 1/4) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) (pow.f64 (/.f64 1/9 x) 1/4)) (pow.f64 (/.f64 1/9 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) (cbrt.f64 (/.f64 1/9 x))) (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/81 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/81 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/9 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 1/9 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/9 x) 3/2) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 x) 1/4) (pow.f64 (/.f64 1/9 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) (pow.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/9) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/9 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 x)))))))) |
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 144 |
| 1 | 15 | 144 |
| 2 | 22 | 144 |
| 3 | 24 | 144 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 99 | 2 | 101 |
| Fresh | 2 | 7 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 102 | 10 | 112 |
| Status | Error | Program |
|---|---|---|
| 20.5b | (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -3)) (*.f64 3 (sqrt.f64 x))) (*.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (*.f64 x 9) -2))) y)) (*.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (*.f64 x 9) -2))) (*.f64 3 (sqrt.f64 x)))) | |
| 0.3b | (+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) | |
| 0.4b | (-.f64 (-.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| 0.3b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 y (pow.f64 (pow.f64 (/.f64 1/9 x) 1/4) 2))) | |
| 14.8b | (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (*.f64 3 (sqrt.f64 x))) (*.f64 (+.f64 1 (/.f64 1/9 x)) y)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 3 (sqrt.f64 x)))) | |
| 0.6b | (-.f64 (-.f64 1 (*.f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| 0.4b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (*.f64 3 (sqrt.f64 x)))))) | |
| ✓ | 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.3b | (-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) | |
| ▶ | 0.3b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) |
Compiled 2187 to 1731 computations (20.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (sqrt.f64 (/.f64 1 x)) |
| ✓ | 0.3b | (*.f64 1/3 y) |
| ✓ | 0.4b | (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
| 0.4b | (/.f64 1 (*.f64 x 9)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
| 0.0ms | y | @ | -inf | (*.f64 1/3 y) |
| 0.0ms | y | @ | inf | (*.f64 1/3 y) |
| 0.0ms | y | @ | 0 | (*.f64 1/3 y) |
| 0.0ms | x | @ | inf | (sqrt.f64 (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 779× | pow1_binary64 |
| 720× | log1p-expm1-u_binary64 |
| 720× | expm1-log1p-u_binary64 |
| 86× | add-sqr-sqrt_binary64 |
| 81× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 181 | 17 |
| 2 | 2054 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 y) |
(sqrt.f64 (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 y) 3) (/.f64 (pow.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) (pow.f64 (*.f64 1/3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (sqrt.f64 (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/2) (pow.f64 (/.f64 1 (cbrt.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -1/2) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2))))))) |
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 144 |
| 1 | 15 | 144 |
| 2 | 22 | 144 |
| 3 | 24 | 144 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 88 | 0 | 88 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 88 | 10 | 98 |
| Status | Error | Program |
|---|---|---|
| 20.5b | (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -3)) (*.f64 3 (sqrt.f64 x))) (*.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (*.f64 x 9) -2))) y)) (*.f64 (+.f64 1 (+.f64 (/.f64 1/9 x) (pow.f64 (*.f64 x 9) -2))) (*.f64 3 (sqrt.f64 x)))) | |
| 0.3b | (+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) | |
| 0.4b | (-.f64 (-.f64 1 (fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| 0.3b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 y (pow.f64 (pow.f64 (/.f64 1/9 x) 1/4) 2))) | |
| 14.8b | (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (*.f64 3 (sqrt.f64 x))) (*.f64 (+.f64 1 (/.f64 1/9 x)) y)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 3 (sqrt.f64 x)))) | |
| 0.6b | (-.f64 (-.f64 1 (*.f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| 0.4b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (cbrt.f64 (/.f64 1/9 x)) (/.f64 y (cbrt.f64 (*.f64 3 (sqrt.f64 x)))))) | |
| ✓ | 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.3b | (-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) | |
| ✓ | 0.3b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) |
Compiled 1828 to 1481 computations (19% saved)
Total 0.2b remaining (91.4%)
Threshold costs 0.2b (91.4%)
Compiled 2731 to 2059 computations (24.6% saved)
| 1× | egg-herbie |
| 7× | *-commutative_binary64 |
| 6× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 24 |
| 1 | 26 | 24 |
| 2 | 42 | 24 |
| 3 | 50 | 24 |
| 4 | 55 | 24 |
| 5 | 56 | 24 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 y (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))) |
| Outputs |
|---|
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 y (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))) |
(-.f64 (+.f64 1 (/.f64 -1 (*.f64 x 9))) (*.f64 y (sqrt.f64 (*.f64 (/.f64 1 x) 1/9)))) |
| 1× | fuel |
Compiled 265 to 216 computations (18.5% saved)
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