Time bar (total: 2.1s)
| 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)
| 756.0ms | 8256× | body | 256 | valid |
| 32.0ms | 360× | 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)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 3 | 4 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 4 | 5 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (fma.f64 x (*.f64 3 y) (neg.f64 z)) |
| ▶ | 0.1b | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| ▶ | 0.1b | (-.f64 (*.f64 x (*.f64 3 y)) z) |
Compiled 30 to 21 computations (30% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 x (*.f64 3 y)) |
Compiled 22 to 13 computations (40.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (*.f64 x (*.f64 3 y)) |
| 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)) |
| 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 |
|---|---|---|
| ✓ | 0.2b | (*.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)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 x (*.f64 3 y) (neg.f64 z)) |
Compiled 19 to 10 computations (47.4% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (fma.f64 x (*.f64 3 y) (neg.f64 z)) |
| 0.0ms | y | @ | -inf | (fma.f64 x (*.f64 3 y) (neg.f64 z)) |
| 0.0ms | x | @ | 0 | (fma.f64 x (*.f64 3 y) (neg.f64 z)) |
| 0.0ms | y | @ | inf | (fma.f64 x (*.f64 3 y) (neg.f64 z)) |
| 0.0ms | x | @ | -inf | (fma.f64 x (*.f64 3 y) (neg.f64 z)) |
| 1× | batch-egg-rewrite |
| 1880× | add-sqr-sqrt |
| 1864× | *-un-lft-identity |
| 1724× | add-cube-cbrt |
| 1704× | add-cbrt-cube |
| 216× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 19 |
| 1 | 219 | 15 |
| 2 | 2576 | 15 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 x (*.f64 3 y) (neg.f64 z)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 x (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 3 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 3 y)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 3 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 3 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 3 y)) 0) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 3 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 3 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 3 y) z)) (sqrt.f64 (fma.f64 x (*.f64 3 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 3 y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 3 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 3 y) z)) 2) (cbrt.f64 (fma.f64 x (*.f64 3 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 3 y)) (*.f64 x (*.f64 3 y))) (*.f64 z z)) (fma.f64 x (*.f64 3 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 x (*.f64 3 y)) (*.f64 x (*.f64 3 y))) (-.f64 (*.f64 z z) (*.f64 (*.f64 x (*.f64 3 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 3 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 3 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 3 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 3 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 3 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 3 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 3 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 3 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 3 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 3 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 3 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 3 y) z))))))) |
| 1× | egg-herbie |
| 1620× | associate-/l* |
| 836× | *-commutative |
| 808× | associate-/r* |
| 588× | distribute-lft-in |
| 576× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 1063 |
| 1 | 168 | 1057 |
| 2 | 1019 | 1047 |
| 3 | 5472 | 1047 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(*.f64 -1 z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(*.f64 3 (*.f64 y x)) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(*.f64 -1 z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(*.f64 -1 z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(+.f64 z (*.f64 x (*.f64 3 y))) |
(+.f64 (*.f64 x (*.f64 3 y)) z) |
(+.f64 (*.f64 (*.f64 x (*.f64 3 y)) 1) z) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 3 y) z))) 1) |
(-.f64 (+.f64 (*.f64 x (*.f64 3 y)) 0) z) |
(*.f64 (fma.f64 x (*.f64 3 y) z) 1) |
(*.f64 1 (fma.f64 x (*.f64 3 y) z)) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 3 y) z)) (sqrt.f64 (fma.f64 x (*.f64 3 y) z))) |
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 3 y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 3 y) z)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 3 y) z)) 2) (cbrt.f64 (fma.f64 x (*.f64 3 y) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 3 y)) (*.f64 x (*.f64 3 y))) (*.f64 z z)) (fma.f64 x (*.f64 3 y) z)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 x (*.f64 3 y)) (*.f64 x (*.f64 3 y))) (-.f64 (*.f64 z z) (*.f64 (*.f64 x (*.f64 3 y)) z)))) |
(pow.f64 (fma.f64 x (*.f64 3 y) z) 1) |
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 3 y) z)) 2) |
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 3 y) z)) 3) |
(pow.f64 (pow.f64 (fma.f64 x (*.f64 3 y) z) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 3 y) z) 2)) |
(log.f64 (exp.f64 (fma.f64 x (*.f64 3 y) z))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 3 y) z)))) |
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 3 y) z) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 3 y) z))) |
(exp.f64 (log.f64 (fma.f64 x (*.f64 3 y) z))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 3 y) z)) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 3 y) z))) |
| Outputs |
|---|
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 x 3) y) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 x 3) y) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 x 3) y) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 x 3) y) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 x 3) y) |
(*.f64 y (*.f64 3 x)) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 -1 z) (*.f64 3 (*.f64 y x))) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(*.f64 -1 z) |
(neg.f64 z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 (*.f64 3 (*.f64 y x)) (*.f64 -1 z)) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(+.f64 z (*.f64 x (*.f64 3 y))) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(+.f64 (*.f64 x (*.f64 3 y)) z) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(+.f64 (*.f64 (*.f64 x (*.f64 3 y)) 1) z) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 3 y) z))) 1) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(-.f64 (+.f64 (*.f64 x (*.f64 3 y)) 0) z) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(*.f64 (fma.f64 x (*.f64 3 y) z) 1) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(*.f64 1 (fma.f64 x (*.f64 3 y) z)) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 3 y) z)) (sqrt.f64 (fma.f64 x (*.f64 3 y) z))) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 3 y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 3 y) z)) 2)) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 3 y) z)) 2) (cbrt.f64 (fma.f64 x (*.f64 3 y) z))) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 3 y)) (*.f64 x (*.f64 3 y))) (*.f64 z z)) (fma.f64 x (*.f64 3 y) z)) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 3 (*.f64 y x) (neg.f64 z)) |
(-.f64 (*.f64 y (*.f64 3 x)) z) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 3 y)) 3) (pow.f64 z 3)) (+.f64 (*.f64 (*.f64 x (*.f64 3 y)) (*.f64 x (*.f64 3 y))) (-.f64 (*.f64 z z) (*.f64 (*.f64 x (*.f64 3 y)) z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x 3) y) 3) (pow.f64 z 3)) (fma.f64 (*.f64 (*.f64 x 3) y) (*.f64 (*.f64 x 3) y) (*.f64 z (-.f64 z (*.f64 (*.f64 x 3) y))))) |
(/.f64 (+.f64 (*.f64 27 (pow.f64 (*.f64 y x) 3)) (pow.f64 z 3)) (fma.f64 z (+.f64 z (*.f64 (*.f64 y x) -3)) (*.f64 x (*.f64 x (*.f64 9 (*.f64 y y)))))) |
(/.f64 (fma.f64 27 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 (*.f64 y (*.f64 3 x)) (-.f64 (*.f64 y (*.f64 3 x)) z)))) |
(/.f64 (fma.f64 27 (pow.f64 (*.f64 y x) 3) (pow.f64 z 3)) (fma.f64 z z (*.f64 x (*.f64 (*.f64 3 y) (-.f64 (*.f64 y (*.f64 3 x)) z))))) |
(pow.f64 (fma.f64 x (*.f64 3 y) z) 1) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 3 y) z)) 2) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 3 y) z)) 3) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(pow.f64 (pow.f64 (fma.f64 x (*.f64 3 y) z) 3) 1/3) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 3 y) z) 2)) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(log.f64 (exp.f64 (fma.f64 x (*.f64 3 y) z))) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 3 y) z)))) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 3 y) z) 3)) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 3 y) z))) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(exp.f64 (log.f64 (fma.f64 x (*.f64 3 y) z))) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 3 y) z)) 1)) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 3 y) z))) |
(fma.f64 x (*.f64 3 y) z) |
(fma.f64 3 (*.f64 y x) z) |
(fma.f64 y (*.f64 3 x) z) |
Compiled 701 to 443 computations (36.8% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 62 | 4 | 66 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 1 | 2 |
| Total | 64 | 5 | 69 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (*.f64 x (*.f64 3 y)) z) |
| ▶ | 0.1b | (-.f64 (*.f64 3 (*.f64 y x)) z) |
| ▶ | 36.7b | (*.f64 (*.f64 x 3) y) |
| ▶ | 36.7b | (*.f64 3 (*.f64 y x)) |
| ▶ | 26.5b | (neg.f64 z) |
Compiled 41 to 30 computations (26.8% saved)
Compiled 6 to 4 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (*.f64 3 (*.f64 y x)) |
Compiled 14 to 7 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (*.f64 3 (*.f64 y x)) |
| 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 | 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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (*.f64 x 3) y) |
Compiled 14 to 9 computations (35.7% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 3 (*.f64 y x)) |
Compiled 22 to 10 computations (54.5% saved)
Compiled 333 to 213 computations (36% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 40 | 0 | 40 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 40 | 5 | 45 |
| Status | Error | Program |
|---|---|---|
| ✓ | 0.1b | (-.f64 (*.f64 x (*.f64 3 y)) z) |
| ✓ | 0.1b | (-.f64 (*.f64 3 (*.f64 y x)) z) |
| ✓ | 36.7b | (*.f64 (*.f64 x 3) y) |
| ✓ | 36.7b | (*.f64 3 (*.f64 y x)) |
| ✓ | 26.5b | (neg.f64 z) |
Compiled 41 to 30 computations (26.8% saved)
| Inputs |
|---|
(neg.f64 z) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 x 3) y) |
(-.f64 (*.f64 3 (*.f64 y x)) z) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
(fma.f64 x (*.f64 3 y) (neg.f64 z)) |
| Outputs |
|---|
(fma.f64 x (*.f64 3 y) (neg.f64 z)) |
6 calls:
| 32.0ms | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| 5.0ms | x |
| 5.0ms | (*.f64 x 3) |
| 5.0ms | z |
| 5.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| 0.1b | 1 | (*.f64 (*.f64 x 3) y) |
| 0.1b | 1 | (*.f64 x 3) |
Compiled 79 to 51 computations (35.4% saved)
| Inputs |
|---|
(neg.f64 z) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 x 3) y) |
(-.f64 (*.f64 3 (*.f64 y x)) z) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(-.f64 (*.f64 (*.f64 x 3) y) z) |
| Outputs |
|---|
(-.f64 (*.f64 x (*.f64 3 y)) z) |
6 calls:
| 8.0ms | y |
| 5.0ms | (*.f64 (*.f64 x 3) y) |
| 5.0ms | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| 5.0ms | (*.f64 x 3) |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (-.f64 (*.f64 (*.f64 x 3) y) z) |
| 0.1b | 1 | (*.f64 (*.f64 x 3) y) |
| 0.1b | 1 | (*.f64 x 3) |
Compiled 72 to 48 computations (33.3% saved)
| Inputs |
|---|
(neg.f64 z) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 x 3) y) |
(-.f64 (*.f64 3 (*.f64 y x)) z) |
| Outputs |
|---|
(-.f64 (*.f64 3 (*.f64 y x)) z) |
5 calls:
| 4.0ms | y |
| 4.0ms | (*.f64 x 3) |
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | (*.f64 (*.f64 x 3) y) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | y |
| 0.1b | 1 | z |
| 0.1b | 1 | (*.f64 (*.f64 x 3) y) |
| 0.1b | 1 | (*.f64 x 3) |
Compiled 48 to 33 computations (31.3% saved)
| Inputs |
|---|
(neg.f64 z) |
(*.f64 3 (*.f64 y x)) |
(*.f64 (*.f64 x 3) y) |
| Outputs |
|---|
(*.f64 (*.f64 x 3) y) |
(neg.f64 z) |
(*.f64 3 (*.f64 y x)) |
5 calls:
| 54.0ms | (*.f64 x 3) |
| 42.0ms | y |
| 26.0ms | x |
| 18.0ms | z |
| 12.0ms | (*.f64 (*.f64 x 3) y) |
| Error | Segments | Branch |
|---|---|---|
| 15.7b | 7 | x |
| 15.8b | 5 | y |
| 15.1b | 5 | z |
| 12.9b | 3 | (*.f64 (*.f64 x 3) y) |
| 15.7b | 7 | (*.f64 x 3) |
Compiled 41 to 30 computations (26.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 725295.4048184528 | 46239220456553.16 |
| 0.0ms | -1.4768668024415532e-63 | -6.747412994296382e-64 |
Compiled 16 to 12 computations (25% saved)
Total -46.7b remaining (-309.4%)
Threshold costs -46.7b (-309.4%)
| Inputs |
|---|
(neg.f64 z) |
(*.f64 3 (*.f64 y x)) |
| Outputs |
|---|
(neg.f64 z) |
(*.f64 3 (*.f64 y x)) |
(neg.f64 z) |
(*.f64 3 (*.f64 y x)) |
(neg.f64 z) |
3 calls:
| 23.0ms | x |
| 17.0ms | z |
| 13.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 15.7b | 7 | x |
| 15.8b | 5 | y |
| 15.1b | 5 | z |
Compiled 22 to 16 computations (27.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 2.6831580483917514e-134 | 1.2684856482502914e-122 |
| 9.0ms | -7.6134302319220545e-87 | -9.32502267164822e-88 |
| 15.0ms | -7.98824929522094e-19 | -7.377190312966443e-27 |
| 13.0ms | -3.1359143290625844 | -0.00033672755679974454 |
| 53.0ms | 528× | body | 256 | valid |
Compiled 511 to 408 computations (20.2% saved)
| 1× | egg-herbie |
| 14× | *-commutative |
| 8× | not-or |
| 6× | sub-neg |
| 6× | +-commutative |
| 6× | not-not |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 212 |
| 1 | 56 | 208 |
| 2 | 63 | 208 |
| 3 | 70 | 204 |
| 4 | 74 | 204 |
| 5 | 78 | 204 |
| 6 | 79 | 204 |
| 7 | 80 | 204 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x (*.f64 3 y) (neg.f64 z)) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(-.f64 (*.f64 3 (*.f64 y x)) z) |
(if (<=.f64 (*.f64 (*.f64 x 3) y) -7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 (*.f64 x 3) y) (if (<=.f64 (*.f64 (*.f64 x 3) y) 1000000) (neg.f64 z) (*.f64 3 (*.f64 y x)))) |
(if (<=.f64 z -7378697629483821/9223372036854775808) (neg.f64 z) (if (<=.f64 z -5580630817503391/1361129467683753853853498429727072845824) (*.f64 3 (*.f64 y x)) (if (<=.f64 z -6719234226533413/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (neg.f64 z) (if (<=.f64 z 2679418273243325/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (*.f64 3 (*.f64 y x)) (neg.f64 z))))) |
(neg.f64 z) |
| Outputs |
|---|
(fma.f64 x (*.f64 3 y) (neg.f64 z)) |
(-.f64 (*.f64 x (*.f64 3 y)) z) |
(-.f64 (*.f64 3 (*.f64 y x)) z) |
(-.f64 (*.f64 3 (*.f64 x y)) z) |
(if (<=.f64 (*.f64 (*.f64 x 3) y) -7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 (*.f64 x 3) y) (if (<=.f64 (*.f64 (*.f64 x 3) y) 1000000) (neg.f64 z) (*.f64 3 (*.f64 y x)))) |
(if (<=.f64 (*.f64 y (*.f64 x 3)) -7410693711188237/7410693711188236507108543040556026102609279018600996098525285376506440296955904) (*.f64 y (*.f64 x 3)) (if (<=.f64 (*.f64 y (*.f64 x 3)) 1000000) (neg.f64 z) (*.f64 3 (*.f64 x y)))) |
(if (<=.f64 z -7378697629483821/9223372036854775808) (neg.f64 z) (if (<=.f64 z -5580630817503391/1361129467683753853853498429727072845824) (*.f64 3 (*.f64 y x)) (if (<=.f64 z -6719234226533413/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (neg.f64 z) (if (<=.f64 z 2679418273243325/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (*.f64 3 (*.f64 y x)) (neg.f64 z))))) |
(if (<=.f64 z -7378697629483821/9223372036854775808) (neg.f64 z) (if (<=.f64 z -5580630817503391/1361129467683753853853498429727072845824) (*.f64 3 (*.f64 x y)) (if (<=.f64 z -6719234226533413/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (neg.f64 z) (if (<=.f64 z 2679418273243325/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (*.f64 3 (*.f64 x y)) (neg.f64 z))))) |
(if (<=.f64 z -7378697629483821/9223372036854775808) (neg.f64 z) (if (or (<=.f64 z -5580630817503391/1361129467683753853853498429727072845824) (not (or (<=.f64 z -6719234226533413/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888) (not (<=.f64 z 2679418273243325/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952))))) (*.f64 3 (*.f64 x y)) (neg.f64 z))) |
(if (<=.f64 z -7378697629483821/9223372036854775808) (neg.f64 z) (if (or (<=.f64 z -5580630817503391/1361129467683753853853498429727072845824) (and (not (<=.f64 z -6719234226533413/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888)) (<=.f64 z 2679418273243325/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952))) (*.f64 3 (*.f64 x y)) (neg.f64 z))) |
(neg.f64 z) |
Compiled 95 to 67 computations (29.5% 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 24 to 15 computations (37.5% saved)
Compiled 100 to 61 computations (39% saved)
Loading profile data...