Time bar (total: 3.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 7 |
| 18.8% | 18.7% | 81.1% | 0.1% | 0% | 0% | 0% | 8 |
| 26.2% | 25% | 70.2% | 0.1% | 4.7% | 0% | 0% | 9 |
| 39.7% | 37.4% | 56.9% | 0.1% | 5.5% | 0% | 0% | 10 |
| 47.1% | 44.5% | 49.9% | 0.1% | 5.5% | 0% | 0% | 11 |
| 54.9% | 50.3% | 41.3% | 0.1% | 8.2% | 0% | 0% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 1.2s | 8256× | body | 256 | valid |
| 70.0ms | 441× | body | 256 | infinite |
| 2× | egg-herbie |
| 538× | fma-def |
| 524× | associate-*r* |
| 426× | associate-+l+ |
| 354× | associate-+r+ |
| 326× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 76 |
| 1 | 38 | 76 |
| 2 | 73 | 76 |
| 3 | 102 | 76 |
| 4 | 189 | 76 |
| 5 | 352 | 76 |
| 6 | 707 | 76 |
| 7 | 1873 | 76 |
| 8 | 2677 | 76 |
| 9 | 2725 | 76 |
| 10 | 2728 | 76 |
| 11 | 2728 | 76 |
| 12 | 2728 | 76 |
| 0 | 3 | 3 |
| 1 | 3 | 3 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
2 |
| Outputs |
|---|
0 |
1 |
0 |
2 |
| Inputs |
|---|
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(-.f64 (*.f64 (*.f64 y 3) x) z) |
(-.f64 (*.f64 (*.f64 z 3) y) x) |
(-.f64 (*.f64 (*.f64 x 3) z) y) |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 (*.f64 x 3) y (neg.f64 z)) |
(-.f64 (*.f64 3 (*.f64 x y)) z) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(fma.f64 3 (*.f64 x y) (neg.f64 z)) |
(-.f64 (*.f64 (*.f64 y 3) x) z) |
(fma.f64 (*.f64 x 3) y (neg.f64 z)) |
(-.f64 (*.f64 3 (*.f64 x y)) z) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(fma.f64 3 (*.f64 x y) (neg.f64 z)) |
(-.f64 (*.f64 (*.f64 z 3) y) x) |
(fma.f64 (*.f64 3 z) y (neg.f64 x)) |
(-.f64 (*.f64 (*.f64 y z) 3) x) |
(fma.f64 3 (*.f64 y z) (neg.f64 x)) |
(-.f64 (*.f64 y (*.f64 3 z)) x) |
(-.f64 (*.f64 (*.f64 x 3) z) y) |
(-.f64 (*.f64 3 (*.f64 x z)) y) |
(-.f64 (*.f64 x (*.f64 3 z)) y) |
(sort x y)
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
| 358× | fma-def |
| 180× | associate-*r* |
| 154× | associate-+r+ |
| 120× | associate--r+ |
| 104× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 18 | 19 |
| 2 | 31 | 19 |
| 3 | 43 | 19 |
| 4 | 77 | 19 |
| 5 | 140 | 19 |
| 6 | 250 | 19 |
| 7 | 530 | 19 |
| 8 | 886 | 19 |
| 9 | 977 | 19 |
| 10 | 1002 | 19 |
| 11 | 1004 | 19 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 (*.f64 x 3) y) z) |
| Outputs |
|---|
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 (*.f64 x 3) y (neg.f64 z)) |
(fma.f64 x (*.f64 3 y) (neg.f64 z)) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
Compiled 31 to 18 computations (41.9% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 | 2 | 4 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 3 | 5 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.2% | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| ▶ | 0.2% | (-.f64 (*.f64 x (*.f64 3 y)) z) |
Compiled 20 to 14 computations (30% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.31% | (*.f64 x (*.f64 3 y)) |
Compiled 22 to 13 computations (40.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 x (*.f64 3 y)) |
| 1.0ms | x | @ | inf | (*.f64 x (*.f64 3 y)) |
| 1.0ms | x | @ | 0 | (*.f64 x (*.f64 3 y)) |
| 0.0ms | y | @ | inf | (*.f64 x (*.f64 3 y)) |
| 0.0ms | y | @ | -inf | (*.f64 x (*.f64 3 y)) |
| 1× | batch-egg-rewrite |
| 1318× | add-sqr-sqrt |
| 1304× | *-un-lft-identity |
| 1210× | add-cube-cbrt |
| 1194× | add-cbrt-cube |
| 1180× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 141 | 13 |
| 2 | 1633 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (*.f64 3 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 y) 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y)))))))) |
| 1× | egg-herbie |
| 1342× | distribute-rgt-in |
| 1330× | distribute-lft-in |
| 1152× | log-prod |
| 1034× | associate-*r* |
| 912× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 455 |
| 1 | 91 | 455 |
| 2 | 355 | 455 |
| 3 | 2543 | 455 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1) |
(pow.f64 (*.f64 x (*.f64 3 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) 3) x)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y)))) |
| Outputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (*.f64 x (*.f64 3 y)) 1) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3) |
(*.f64 3 (*.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) |
(*.f64 3 (*.f64 y x)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) 3) x)) |
(*.f64 3 (*.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3)) |
(*.f64 3 (*.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 3 (*.f64 y x)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 3 (*.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 3 (*.f64 y x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.37% | (*.f64 (*.f64 x 3) y) |
Compiled 22 to 13 computations (40.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 x 3) y) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 x 3) y) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x 3) y) |
| 0.0ms | y | @ | -inf | (*.f64 (*.f64 x 3) y) |
| 0.0ms | y | @ | inf | (*.f64 (*.f64 x 3) y) |
| 1× | batch-egg-rewrite |
| 1316× | add-sqr-sqrt |
| 1302× | *-un-lft-identity |
| 1208× | add-cube-cbrt |
| 1192× | add-cbrt-cube |
| 1178× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 141 | 13 |
| 2 | 1631 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x 3) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y)))))))) |
| 1× | egg-herbie |
| 1464× | distribute-rgt-in |
| 1454× | distribute-lft-in |
| 1134× | log-prod |
| 1070× | associate-*r* |
| 912× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 455 |
| 1 | 86 | 455 |
| 2 | 346 | 455 |
| 3 | 2592 | 455 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1) |
(pow.f64 (*.f64 x (*.f64 3 y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y)))) |
| Outputs |
|---|
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 3 (*.f64 y x)) |
(-.f64 (+.f64 1 (*.f64 x (*.f64 3 y))) 1) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (*.f64 x (*.f64 3 y)) 1) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) 1/3) |
(*.f64 3 (*.f64 y x)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) |
(*.f64 3 (*.f64 y x)) |
(log.f64 (pow.f64 (exp.f64 y) (*.f64 x 3))) |
(*.f64 3 (*.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3)) |
(*.f64 3 (*.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 3 (*.f64 y x)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 3 (*.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 3 (*.f64 y x)) |
Compiled 231 to 157 computations (32% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 21 | 3 | 24 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 21 | 5 | 26 |
| Status | Error | Program |
|---|---|---|
| ▶ | 50.59% | (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) z) |
| ▶ | 1% | (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) z) |
| ✓ | 0.2% | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| ✓ | 0.2% | (-.f64 (*.f64 x (*.f64 3 y)) z) |
| ▶ | 0.25% | (-.f64 (*.f64 3 (*.f64 y x)) z) |
Compiled 56 to 41 computations (26.8% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.43% | (*.f64 3 (*.f64 y x)) |
Compiled 22 to 10 computations (54.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 3 (*.f64 y x)) |
| 0.0ms | y | @ | inf | (*.f64 3 (*.f64 y x)) |
| 0.0ms | x | @ | -inf | (*.f64 3 (*.f64 y x)) |
| 0.0ms | y | @ | -inf | (*.f64 3 (*.f64 y x)) |
| 0.0ms | x | @ | inf | (*.f64 3 (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 1318× | add-sqr-sqrt |
| 1304× | *-un-lft-identity |
| 1210× | add-cube-cbrt |
| 1194× | add-cbrt-cube |
| 1180× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 141 | 13 |
| 2 | 1633 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (*.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 3 (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x)))))))) |
| 1× | egg-herbie |
| 1100× | distribute-rgt-in |
| 1100× | distribute-lft-in |
| 1004× | *-commutative |
| 886× | log-prod |
| 842× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 275 |
| 1 | 92 | 209 |
| 2 | 356 | 143 |
| 3 | 2249 | 143 |
| 4 | 7020 | 143 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 1 (*.f64 3 (*.f64 y x))) 1) |
(pow.f64 (*.f64 3 (*.f64 y x)) 1) |
(pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2) |
(pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3) |
(pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 9)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 3)) |
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x)))) |
(exp.f64 (log.f64 (*.f64 3 (*.f64 y x)))) |
(log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x)))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (*.f64 3 (*.f64 y x))) 1) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (*.f64 3 (*.f64 y x)) 1) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (sqrt.f64 (*.f64 3 (*.f64 y x))) 2) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (cbrt.f64 (*.f64 3 (*.f64 y x))) 3) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(pow.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3) 1/3) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 y x) 2) 9)) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 3)) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 y x)) 3)) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(expm1.f64 (log1p.f64 (*.f64 3 (*.f64 y x)))) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(exp.f64 (log.f64 (*.f64 3 (*.f64 y x)))) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
(log1p.f64 (expm1.f64 (*.f64 3 (*.f64 y x)))) |
(+.f64 1 (-.f64 (*.f64 3 (*.f64 y x)) 1)) |
(+.f64 (*.f64 y (*.f64 x 3)) 0) |
(*.f64 3 (*.f64 y x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.31% | (*.f64 x (*.f64 3 y)) | |
| ✓ | 0.94% | (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) |
| ✓ | 14.3% | (cbrt.f64 (*.f64 x (*.f64 3 y))) |
Compiled 39 to 26 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) |
| 1.0ms | x | @ | -inf | (cbrt.f64 (*.f64 x (*.f64 3 y))) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (*.f64 x (*.f64 3 y))) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) |
| 1× | batch-egg-rewrite |
| 1700× | add-sqr-sqrt |
| 1670× | *-un-lft-identity |
| 1568× | add-cube-cbrt |
| 1548× | add-cbrt-cube |
| 174× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 206 | 30 |
| 2 | 2209 | 30 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) (pow.f64 (*.f64 x (*.f64 3 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 3) 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 3 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) (*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) 1) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) (pow.f64 (*.f64 x (*.f64 3 y)) 1/6)) (pow.f64 (*.f64 x (*.f64 3 y)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2) 3) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y)))))))) |
| 1× | egg-herbie |
| 1614× | associate-+r+ |
| 1482× | associate-+l+ |
| 574× | cube-prod |
| 536× | unswap-sqr |
| 532× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 139 | 1386 |
| 1 | 307 | 1386 |
| 2 | 1057 | 1386 |
| 3 | 2966 | 1386 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) 1) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 1) |
(*.f64 1 (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) (pow.f64 (*.f64 x (*.f64 3 y)) 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 3 y))) |
(*.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 y)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1/3)) |
(*.f64 (pow.f64 (*.f64 x 3) 1/3) (cbrt.f64 y)) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 1) |
(pow.f64 (*.f64 x (*.f64 3 y)) 1/3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 3) |
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 1)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 3 y))) 1/3)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) 1) |
(*.f64 x (*.f64 3 y)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))) |
(*.f64 (*.f64 x (*.f64 3 y)) 1) |
(*.f64 1 (*.f64 x (*.f64 3 y))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) (*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 3 y))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) x)) |
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 3 y))) |
(*.f64 (*.f64 x 3) y) |
(*.f64 (*.f64 x y) 3) |
(*.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y))) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 3 y))) |
(*.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) 1) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) (pow.f64 (*.f64 x (*.f64 3 y)) 1/6)) (pow.f64 (*.f64 x (*.f64 3 y)) 1/6)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 3 y))) |
(*.f64 (*.f64 (*.f64 x 3) 1) y) |
(*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2) 3) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 3 y))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 3 y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y)))) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) 1) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 1) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 1 (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) (pow.f64 (*.f64 x (*.f64 3 y)) 1/6)) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2)) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) 1/3)) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 3 y))) |
(*.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 x 3)) (cbrt.f64 y)) |
(*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x 3))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 (pow.f64 (*.f64 x 3) 1/3) (cbrt.f64 y)) |
(*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 x 3))) |
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 1) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(pow.f64 (*.f64 x (*.f64 3 y)) 1/3) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) 2) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 3) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))) |
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 1)) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 3 y))) 1/3)) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(cbrt.f64 (*.f64 x (*.f64 3 y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) 1) |
(*.f64 x (*.f64 3 y)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))) |
(*.f64 (*.f64 x (*.f64 3 y)) 1) |
(*.f64 x (*.f64 3 y)) |
(*.f64 1 (*.f64 x (*.f64 3 y))) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) (*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) x)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 3 y))) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) x)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) (*.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 3 y))) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 x 3) y) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 x y) 3) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y))) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 3 y))) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) 1) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) (pow.f64 (*.f64 x (*.f64 3 y)) 1/6)) (pow.f64 (*.f64 x (*.f64 3 y)) 1/6)) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) (cbrt.f64 x)) (cbrt.f64 (*.f64 3 y))) |
(*.f64 (*.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) (*.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 x))) |
(*.f64 (*.f64 (*.f64 x 3) 1) y) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/6) 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))) 2) 3) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 x (*.f64 3 y)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) |
(*.f64 x (*.f64 3 y)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) y) x)) |
(*.f64 x (*.f64 3 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 x (*.f64 3 y)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3)) |
(*.f64 x (*.f64 3 y)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 x (*.f64 3 y)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 x (*.f64 3 y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 3 y))) 1)) |
(*.f64 x (*.f64 3 y)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 x (*.f64 3 y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.27% | (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
| 0.31% | (*.f64 x (*.f64 3 y)) | |
| ✓ | 13.57% | (sqrt.f64 (*.f64 x (*.f64 3 y))) |
Compiled 40 to 27 computations (32.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
| 1.0ms | y | @ | 0 | (sqrt.f64 (*.f64 x (*.f64 3 y))) |
| 1.0ms | x | @ | 0 | (sqrt.f64 (*.f64 x (*.f64 3 y))) |
| 1.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
| 1.0ms | y | @ | -inf | (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
| 1× | batch-egg-rewrite |
| 1764× | add-sqr-sqrt |
| 1742× | *-un-lft-identity |
| 1620× | add-cube-cbrt |
| 1602× | add-cbrt-cube |
| 188× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 30 |
| 1 | 224 | 30 |
| 2 | 2285 | 30 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) (pow.f64 (*.f64 x (*.f64 3 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 3) 1/2) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 3 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 3 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 3 y)) (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (pow.f64 (*.f64 x (*.f64 3 y)) 1/4)) (pow.f64 (*.f64 x (*.f64 3 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 x)) (sqrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 3 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y)))))))) |
| 1× | egg-herbie |
| 1204× | fma-def |
| 830× | unswap-sqr |
| 692× | cube-prod |
| 640× | *-commutative |
| 640× | log-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 1016 |
| 1 | 291 | 1016 |
| 2 | 1174 | 1016 |
| 3 | 4225 | 1016 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) 1) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1) |
(*.f64 1 (sqrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) (pow.f64 (*.f64 x (*.f64 3 y)) 1/4)) |
(*.f64 (sqrt.f64 (*.f64 3 y)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 3 y))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 y)) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 1/2)) |
(*.f64 (pow.f64 (*.f64 x 3) 1/2) (sqrt.f64 y)) |
(pow.f64 (*.f64 x (*.f64 3 y)) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 3 y))) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) 1) |
(*.f64 x (*.f64 3 y)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 (*.f64 x (*.f64 3 y)) 1) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 1 (*.f64 x (*.f64 3 y))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) x)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 3 y))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 3 y)) (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2)) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) x)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 3 y))) |
(*.f64 (*.f64 x 3) y) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (pow.f64 (*.f64 x (*.f64 3 y)) 1/4)) (pow.f64 (*.f64 x (*.f64 3 y)) 1/4)) |
(*.f64 (*.f64 x y) 3) |
(*.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y))) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 3 y))) |
(*.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 x)) (sqrt.f64 (*.f64 3 y))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 (*.f64 (*.f64 x 3) 1) y) |
(*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 3 y)) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 3 y))))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) |
(exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 3 y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y)))) |
| Outputs |
|---|
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) 1) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 1 (sqrt.f64 (*.f64 x (*.f64 3 y)))) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) (pow.f64 (*.f64 x (*.f64 3 y)) 1/4)) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 (sqrt.f64 (*.f64 3 y)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 3 y))) |
(*.f64 (sqrt.f64 (*.f64 3 y)) (sqrt.f64 x)) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))))) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 (sqrt.f64 (*.f64 x 3)) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x 3))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (*.f64 3 y)))) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 1/2)) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(*.f64 (pow.f64 (*.f64 x 3) 1/2) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 x 3))) |
(pow.f64 (*.f64 x (*.f64 3 y)) 1/2) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 1) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) 2) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) 3) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(pow.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3/2) 1/3) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(fabs.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))))) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3/2)) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 3 y))) 1/2)) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) 1)) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(sqrt.f64 (*.f64 y (*.f64 x 3))) |
(sqrt.f64 (*.f64 x (*.f64 3 y))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) 1) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 3 (*.f64 y x)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 3 y) x) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 x (*.f64 3 y)) 1) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 1 (*.f64 x (*.f64 3 y))) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 1/4) (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (sqrt.f64 (*.f64 3 y)) (*.f64 (sqrt.f64 (*.f64 3 y)) x)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 3 y))) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (*.f64 3 y)) (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 3 y)) (sqrt.f64 x)) (sqrt.f64 (*.f64 y (*.f64 x 3)))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (*.f64 (sqrt.f64 (*.f64 3 y)) (sqrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y)))) (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 2) (cbrt.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) (*.f64 (cbrt.f64 (*.f64 3 y)) x)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 3 y))) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 x 3) y) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (pow.f64 (*.f64 x (*.f64 3 y)) 1/4)) (pow.f64 (*.f64 x (*.f64 3 y)) 1/4)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 x y) 3) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y))) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (cbrt.f64 (*.f64 3 y))) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 (*.f64 3 y) (sqrt.f64 x)) (sqrt.f64 x)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 (*.f64 3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (sqrt.f64 x)) (sqrt.f64 (*.f64 3 y))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 3 y)) (sqrt.f64 x)) (sqrt.f64 (*.f64 y (*.f64 x 3)))) |
(*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (*.f64 (sqrt.f64 (*.f64 3 y)) (sqrt.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) (cbrt.f64 (*.f64 x (*.f64 3 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 (*.f64 x 3) 1) y) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 y)) (sqrt.f64 y)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(*.f64 (*.f64 (*.f64 x 3) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 2)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(log.f64 (pow.f64 (exp.f64 (*.f64 3 y)) x)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 3 y))))) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(exp.f64 (log.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 3 y))) 1)) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 3 y)))) |
(*.f64 y (*.f64 x 3)) |
(*.f64 x (*.f64 3 y)) |
Compiled 2341 to 1637 computations (30.1% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 178 | 1 | 179 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 178 | 6 | 184 |
| Status | Error | Program |
|---|---|---|
| ✓ | 50.59% | (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) z) |
| ✓ | 1% | (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) z) |
| ▶ | 24.14% | (-.f64 (*.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y))) z) |
| ✓ | 0.2% | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| ✓ | 0.2% | (-.f64 (*.f64 x (*.f64 3 y)) z) |
| ✓ | 0.25% | (-.f64 (*.f64 3 (*.f64 y x)) z) |
Compiled 72 to 53 computations (26.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.12% | (sqrt.f64 (*.f64 3 y)) |
| ✓ | 0.3% | (*.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y))) |
| ✓ | 0.3% | (*.f64 x (sqrt.f64 (*.f64 3 y))) |
Compiled 44 to 30 computations (31.8% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (*.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y))) |
| 2.0ms | x | @ | 0 | (*.f64 x (sqrt.f64 (*.f64 3 y))) |
| 1.0ms | y | @ | 0 | (*.f64 x (sqrt.f64 (*.f64 3 y))) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y))) |
| 1.0ms | y | @ | 0 | (*.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y))) |
| 1× | batch-egg-rewrite |
| 1816× | add-sqr-sqrt |
| 1798× | *-un-lft-identity |
| 1668× | add-cube-cbrt |
| 1642× | add-cbrt-cube |
| 190× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 41 |
| 1 | 198 | 41 |
| 2 | 2318 | 41 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 x (sqrt.f64 (*.f64 3 y))) |
(*.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y))) |
(sqrt.f64 (*.f64 3 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 3 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 3 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (*.f64 (*.f64 x 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 3 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x 3) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x 3) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 x 3) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x 3) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x 3) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 x 3) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x 3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x 3) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x 3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x 3) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x 3) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 3 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 3 y) 1/4) (pow.f64 (*.f64 3 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 3) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 3 y))) (cbrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 (sqrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 3 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 3 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 3 y)))))))) |
| 1× | egg-herbie |
| 1550× | associate-+r+ |
| 1428× | associate-+l+ |
| 888× | *-commutative |
| 744× | unswap-sqr |
| 388× | sqr-pow |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 1725 |
| 1 | 265 | 1343 |
| 2 | 966 | 1335 |
| 3 | 3643 | 1335 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 -1 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 -3) 2) x))) |
(*.f64 -1 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 -3) 2) x))) |
(*.f64 -1 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 -3) 2) x))) |
(*.f64 -1 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 -3) 2) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))))) 1) |
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) 1) |
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 3 y)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 3 y)))) 3) |
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) 3) 1/3) |
(sqrt.f64 (*.f64 x (*.f64 (*.f64 x 3) y))) |
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (*.f64 3 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 (*.f64 3 y)))))) |
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) 3)) |
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))))) |
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 3 y)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x 3) y))) 1) |
(pow.f64 (*.f64 (*.f64 x 3) y) 1) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x 3) y)) 2) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x 3) y)) 3) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x 3) y) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x 3) y) 2)) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 3 y))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x 3) y)))) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x 3) y) 3)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x 3) y))) |
(exp.f64 (log.f64 (*.f64 (*.f64 x 3) y))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x 3) y)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x 3) y))) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 3 y)))) 1) |
(*.f64 (sqrt.f64 (*.f64 3 y)) 1) |
(*.f64 1 (sqrt.f64 (*.f64 3 y))) |
(*.f64 (pow.f64 (*.f64 3 y) 1/4) (pow.f64 (*.f64 3 y) 1/4)) |
(*.f64 (sqrt.f64 3) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 3 y))) (cbrt.f64 (*.f64 3 y))) |
(*.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 (sqrt.f64 (*.f64 3 y)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 3 y)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 3 y))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 3 y)) 1/2)) |
(pow.f64 (*.f64 3 y) 1/2) |
(pow.f64 (sqrt.f64 (*.f64 3 y)) 1) |
(pow.f64 (pow.f64 (*.f64 3 y) 1/4) 2) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 3 y))) 3) |
(pow.f64 (pow.f64 (*.f64 3 y) 3/2) 1/3) |
(fabs.f64 (sqrt.f64 (*.f64 3 y))) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 3 y)))) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 3 y))))) |
(cbrt.f64 (pow.f64 (*.f64 3 y) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 3 y)))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 3 y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 3 y)) 1/2)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 3 y))) 1)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 3 y)))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 3) x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 -1 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 -3) 2) x))) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 -1 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 -3) 2) x))) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 -1 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 -3) 2) x))) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(*.f64 -1 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 -3) 2) x))) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))))) 1) |
(*.f64 x (sqrt.f64 (*.f64 y 3))) |
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) 1) |
(*.f64 x (sqrt.f64 (*.f64 y 3))) |
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 3 y)))) 2) |
(*.f64 x (sqrt.f64 (*.f64 y 3))) |
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 3 y)))) 3) |
(*.f64 x (sqrt.f64 (*.f64 y 3))) |
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) 3) 1/3) |
(*.f64 x (sqrt.f64 (*.f64 y 3))) |
(sqrt.f64 (*.f64 x (*.f64 (*.f64 x 3) y))) |
(sqrt.f64 (*.f64 (*.f64 x (*.f64 3 x)) y)) |
(sqrt.f64 (*.f64 y (*.f64 x (*.f64 3 x)))) |
(sqrt.f64 (*.f64 y (*.f64 3 (*.f64 x x)))) |
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (*.f64 3 y)))) |
(*.f64 x (sqrt.f64 (*.f64 y 3))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 (*.f64 3 y)))))) |
(*.f64 x (sqrt.f64 (*.f64 y 3))) |
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) 3)) |
(*.f64 x (sqrt.f64 (*.f64 y 3))) |
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))))) |
(*.f64 x (sqrt.f64 (*.f64 y 3))) |
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))))) |
(*.f64 x (sqrt.f64 (*.f64 y 3))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 3 y)))) 1)) |
(*.f64 x (sqrt.f64 (*.f64 y 3))) |
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))))) |
(*.f64 x (sqrt.f64 (*.f64 y 3))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x 3) y))) 1) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(pow.f64 (*.f64 (*.f64 x 3) y) 1) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x 3) y)) 2) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x 3) y)) 3) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 x 3) y) 3) 1/3) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x 3) y) 2)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 3 y))) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x 3) y)))) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x 3) y) 3)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x 3) y))) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(exp.f64 (log.f64 (*.f64 (*.f64 x 3) y))) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x 3) y)) 1)) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x 3) y))) |
(*.f64 y (*.f64 x (pow.f64 (sqrt.f64 3) 2))) |
(*.f64 y (*.f64 3 x)) |
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 3 y)))) 1) |
(sqrt.f64 (*.f64 y 3)) |
(*.f64 (sqrt.f64 (*.f64 3 y)) 1) |
(sqrt.f64 (*.f64 y 3)) |
(*.f64 1 (sqrt.f64 (*.f64 3 y))) |
(sqrt.f64 (*.f64 y 3)) |
(*.f64 (pow.f64 (*.f64 3 y) 1/4) (pow.f64 (*.f64 3 y) 1/4)) |
(sqrt.f64 (*.f64 y 3)) |
(*.f64 (sqrt.f64 3) (sqrt.f64 y)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 3)) |
(*.f64 (sqrt.f64 y) (sqrt.f64 3)) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 3 y))) (cbrt.f64 (*.f64 3 y))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 3))) (cbrt.f64 (*.f64 y 3))) |
(*.f64 (cbrt.f64 (*.f64 3 y)) (cbrt.f64 (sqrt.f64 (*.f64 3 y)))) |
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 y 3))) (cbrt.f64 (*.f64 y 3))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 3 y)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y 3)))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 y 3))) (sqrt.f64 (cbrt.f64 (*.f64 y 3)))) |
(*.f64 (cbrt.f64 (*.f64 y 3)) (sqrt.f64 (cbrt.f64 (*.f64 y 3)))) |
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 3 y))) |
(sqrt.f64 (*.f64 y 3)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 3 y)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 3 y)) 1/2)) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 y 3)))) |
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 y 3))) (sqrt.f64 (cbrt.f64 (*.f64 y 3)))) |
(*.f64 (cbrt.f64 (*.f64 y 3)) (sqrt.f64 (cbrt.f64 (*.f64 y 3)))) |
(pow.f64 (*.f64 3 y) 1/2) |
(sqrt.f64 (*.f64 y 3)) |
(pow.f64 (sqrt.f64 (*.f64 3 y)) 1) |
(sqrt.f64 (*.f64 y 3)) |
(pow.f64 (pow.f64 (*.f64 3 y) 1/4) 2) |
(sqrt.f64 (*.f64 y 3)) |
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 3 y))) 3) |
(sqrt.f64 (*.f64 y 3)) |
(pow.f64 (pow.f64 (*.f64 3 y) 3/2) 1/3) |
(cbrt.f64 (pow.f64 (*.f64 y 3) 3/2)) |
(fabs.f64 (sqrt.f64 (*.f64 3 y))) |
(sqrt.f64 (*.f64 y 3)) |
(log.f64 (exp.f64 (sqrt.f64 (*.f64 3 y)))) |
(sqrt.f64 (*.f64 y 3)) |
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 3 y))))) |
(sqrt.f64 (*.f64 y 3)) |
(cbrt.f64 (pow.f64 (*.f64 3 y) 3/2)) |
(cbrt.f64 (pow.f64 (*.f64 y 3) 3/2)) |
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 3 y)))) |
(sqrt.f64 (*.f64 y 3)) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 3 y)))) |
(sqrt.f64 (*.f64 y 3)) |
(exp.f64 (*.f64 (log.f64 (*.f64 3 y)) 1/2)) |
(sqrt.f64 (*.f64 y 3)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 3 y))) 1)) |
(sqrt.f64 (*.f64 y 3)) |
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 3 y)))) |
(sqrt.f64 (*.f64 y 3)) |
Compiled 1489 to 1091 computations (26.7% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 96 | 1 | 97 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 5 | 5 |
| Total | 97 | 6 | 103 |
| Status | Error | Program |
|---|---|---|
| ✓ | 50.59% | (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) z) |
| ✓ | 1% | (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) z) |
| ✓ | 0.2% | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| ▶ | 0.66% | (-.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) z) |
| ✓ | 0.2% | (-.f64 (*.f64 x (*.f64 3 y)) z) |
| ✓ | 0.25% | (-.f64 (*.f64 3 (*.f64 y x)) z) |
Compiled 69 to 51 computations (26.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.22% | (*.f64 (pow.f64 (sqrt.f64 3) 2) x) |
| ✓ | 0.42% | (*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
| ✓ | 1.56% | (pow.f64 (sqrt.f64 3) 2) |
Compiled 38 to 29 computations (23.7% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (*.f64 (pow.f64 (sqrt.f64 3) 2) x) |
| 0.0ms | y | @ | -inf | (*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 (sqrt.f64 3) 2) x) |
| 0.0ms | y | @ | 0 | (*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
| 0.0ms | y | @ | inf | (*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
| 1× | batch-egg-rewrite |
| 1734× | add-sqr-sqrt |
| 1714× | *-un-lft-identity |
| 1590× | add-cube-cbrt |
| 1572× | add-cbrt-cube |
| 188× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 21 |
| 1 | 225 | 21 |
| 2 | 2238 | 21 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (sqrt.f64 3) 2) |
(*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) |
(*.f64 (pow.f64 (sqrt.f64 3) 2) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 3))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 x))))))) |
| 1× | egg-herbie |
| 1348× | distribute-lft-in |
| 1300× | distribute-rgt-in |
| 918× | associate-+l+ |
| 852× | fma-def |
| 836× | associate-+r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 261 |
| 1 | 143 | 261 |
| 2 | 514 | 261 |
| 3 | 2184 | 261 |
| 4 | 7933 | 261 |
| 1× | node limit |
| Inputs |
|---|
3 |
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 x y)))) 1) |
(pow.f64 (*.f64 3 (*.f64 x y)) 1) |
(pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x y))) 2) |
(pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 3) |
(pow.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 2)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) y)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 x y))))) |
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 3)) |
(expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x y)))) |
(exp.f64 (log.f64 (*.f64 3 (*.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 x y))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x y)))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 x))) 1) |
(pow.f64 (*.f64 3 x) 1) |
(pow.f64 (sqrt.f64 (*.f64 3 x)) 2) |
(pow.f64 (cbrt.f64 (*.f64 3 x)) 3) |
(pow.f64 (pow.f64 (*.f64 3 x) 3) 1/3) |
(sqrt.f64 (*.f64 (*.f64 x x) 9)) |
(log.f64 (pow.f64 (exp.f64 3) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 x)))) |
(cbrt.f64 (pow.f64 (*.f64 3 x) 3)) |
(expm1.f64 (log1p.f64 (*.f64 3 x))) |
(exp.f64 (log.f64 (*.f64 3 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 3 x)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 3 x))) |
| Outputs |
|---|
3 |
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (*.f64 x y)))) 1) |
(*.f64 3 (*.f64 x y)) |
(*.f64 y (*.f64 3 x)) |
(pow.f64 (*.f64 3 (*.f64 x y)) 1) |
(*.f64 3 (*.f64 x y)) |
(*.f64 y (*.f64 3 x)) |
(pow.f64 (sqrt.f64 (*.f64 3 (*.f64 x y))) 2) |
(*.f64 3 (*.f64 x y)) |
(*.f64 y (*.f64 3 x)) |
(pow.f64 (cbrt.f64 (*.f64 3 (*.f64 x y))) 3) |
(*.f64 3 (*.f64 x y)) |
(*.f64 y (*.f64 3 x)) |
(pow.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 3) 1/3) |
(*.f64 3 (*.f64 x y)) |
(*.f64 y (*.f64 3 x)) |
(sqrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 2)) |
(*.f64 3 (*.f64 x y)) |
(*.f64 y (*.f64 3 x)) |
(log.f64 (pow.f64 (pow.f64 (exp.f64 3) x) y)) |
(*.f64 3 (*.f64 x y)) |
(*.f64 y (*.f64 3 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (*.f64 x y))))) |
(*.f64 3 (*.f64 x y)) |
(*.f64 y (*.f64 3 x)) |
(cbrt.f64 (pow.f64 (*.f64 3 (*.f64 x y)) 3)) |
(*.f64 3 (*.f64 x y)) |
(*.f64 y (*.f64 3 x)) |
(expm1.f64 (log1p.f64 (*.f64 3 (*.f64 x y)))) |
(*.f64 3 (*.f64 x y)) |
(*.f64 y (*.f64 3 x)) |
(exp.f64 (log.f64 (*.f64 3 (*.f64 x y)))) |
(*.f64 3 (*.f64 x y)) |
(*.f64 y (*.f64 3 x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 3 (*.f64 x y))) 1)) |
(*.f64 3 (*.f64 x y)) |
(*.f64 y (*.f64 3 x)) |
(log1p.f64 (expm1.f64 (*.f64 3 (*.f64 x y)))) |
(*.f64 3 (*.f64 x y)) |
(*.f64 y (*.f64 3 x)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 x))) 1) |
(*.f64 3 x) |
(pow.f64 (*.f64 3 x) 1) |
(*.f64 3 x) |
(pow.f64 (sqrt.f64 (*.f64 3 x)) 2) |
(*.f64 3 x) |
(pow.f64 (cbrt.f64 (*.f64 3 x)) 3) |
(*.f64 3 x) |
(pow.f64 (pow.f64 (*.f64 3 x) 3) 1/3) |
(*.f64 3 x) |
(sqrt.f64 (*.f64 (*.f64 x x) 9)) |
(*.f64 3 x) |
(log.f64 (pow.f64 (exp.f64 3) x)) |
(*.f64 3 x) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3 x)))) |
(*.f64 3 x) |
(cbrt.f64 (pow.f64 (*.f64 3 x) 3)) |
(*.f64 3 x) |
(expm1.f64 (log1p.f64 (*.f64 3 x))) |
(*.f64 3 x) |
(exp.f64 (log.f64 (*.f64 3 x))) |
(*.f64 3 x) |
(exp.f64 (*.f64 (log.f64 (*.f64 3 x)) 1)) |
(*.f64 3 x) |
(log1p.f64 (expm1.f64 (*.f64 3 x))) |
(*.f64 3 x) |
Compiled 289 to 186 computations (35.6% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 30 | 0 | 30 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 30 | 6 | 36 |
| Status | Error | Program |
|---|---|---|
| ✓ | 50.59% | (-.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) z) |
| ✓ | 1% | (-.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) z) |
| ✓ | 0.2% | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| ✓ | 0.66% | (-.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) z) |
| ✓ | 0.2% | (-.f64 (*.f64 x (*.f64 3 y)) z) |
| ✓ | 0.25% | (-.f64 (*.f64 3 (*.f64 y x)) z) |
Compiled 69 to 51 computations (26.1% saved)
Total -47.5b remaining (-38011.6%)
Threshold costs -47.5b (-38011.6%)
| Inputs |
|---|
(-.f64 (*.f64 3 (*.f64 y x)) z) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(-.f64 (*.f64 y (*.f64 (pow.f64 (sqrt.f64 3) 2) x)) z) |
(-.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 3 y))) 3) z) |
(-.f64 (pow.f64 (sqrt.f64 (*.f64 x (*.f64 3 y))) 2) z) |
(-.f64 (*.f64 (*.f64 x (sqrt.f64 (*.f64 3 y))) (sqrt.f64 (*.f64 3 y))) z) |
| Outputs |
|---|
(-.f64 (*.f64 x (*.f64 3 y)) z) |
6 calls:
| 6.0ms | (*.f64 (*.f64 x 3) y) |
| 6.0ms | y |
| 5.0ms | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| 5.0ms | (*.f64 x 3) |
| 5.0ms | z |
| Error | Segments | Branch |
|---|---|---|
| 0.2% | 1 | x |
| 0.2% | 1 | y |
| 0.2% | 1 | z |
| 0.2% | 1 | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| 0.2% | 1 | (*.f64 (*.f64 x 3) y) |
| 0.2% | 1 | (*.f64 x 3) |
Compiled 103 to 72 computations (30.1% saved)
| 1× | egg-herbie |
| 10× | *-commutative |
| 6× | sub-neg |
| 6× | +-commutative |
| 2× | neg-mul-1 |
| 2× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 38 |
| 1 | 20 | 38 |
| 2 | 26 | 38 |
| 3 | 28 | 38 |
| 4 | 29 | 38 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(-.f64 (*.f64 3 (*.f64 y x)) z) |
| Outputs |
|---|
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(-.f64 (*.f64 3 (*.f64 y x)) z) |
(-.f64 (*.f64 3 (*.f64 x y)) z) |
Compiled 20 to 14 computations (30% saved)
| 1× | egg-herbie |
| 358× | fma-def |
| 180× | associate-*r* |
| 154× | associate-+r+ |
| 120× | associate--r+ |
| 104× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 18 | 19 |
| 2 | 31 | 19 |
| 3 | 43 | 19 |
| 4 | 77 | 19 |
| 5 | 140 | 19 |
| 6 | 250 | 19 |
| 7 | 530 | 19 |
| 8 | 886 | 19 |
| 9 | 977 | 19 |
| 10 | 1002 | 19 |
| 11 | 1004 | 19 |
| 1× | saturated |
Compiled 17 to 11 computations (35.3% saved)
(sort x y)
Compiled 37 to 25 computations (32.4% saved)
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