Time bar (total: 5.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 75% | 25% | 0% | 4 |
| 87.5% | 12.5% | 0% | 5 |
| 93.7% | 6.2% | 0% | 6 |
| 96.8% | 3.1% | 0% | 7 |
| 98.4% | 1.6% | 0% | 8 |
| 99.2% | 0.8% | 0% | 9 |
| 99.6% | 0.4% | 0% | 10 |
| 99.8% | 0.2% | 0% | 11 |
| 99.9% | 0.1% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 859.0ms | 5755× | body | 256 | valid |
| 477.0ms | 2065× | body | 512 | valid |
| 138.0ms | 436× | body | 1024 | valid |
| 2× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 13× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 16 | 16 |
| 2 | 21 | 16 |
| 3 | 29 | 16 |
| 4 | 39 | 16 |
| 5 | 57 | 16 |
| 6 | 94 | 16 |
| 7 | 128 | 16 |
| 8 | 174 | 16 |
| 9 | 210 | 16 |
| 10 | 236 | 16 |
| 11 | 238 | 16 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| Outputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 13× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 16 | 16 |
| 2 | 21 | 16 |
| 3 | 29 | 16 |
| 4 | 39 | 16 |
| 5 | 57 | 16 |
| 6 | 94 | 16 |
| 7 | 128 | 16 |
| 8 | 174 | 16 |
| 9 | 210 | 16 |
| 10 | 236 | 16 |
| 11 | 238 | 16 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| Outputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) |
Compiled 23 to 19 computations (17.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 1 | 2 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 15.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
Compiled 12 to 10 computations (16.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (-.f64 x 1)) |
| ✓ | 0.0b | (/.f64 1 (+.f64 x 1)) |
| ✓ | 3.9b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
Compiled 30 to 23 computations (23.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 1.0ms | x | @ | -inf | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 1.0ms | x | @ | inf | (/.f64 1 (+.f64 x 1)) |
| 1.0ms | x | @ | 0 | (/.f64 1 (+.f64 x 1)) |
| 1× | batch-egg-rewrite |
| 867× | prod-diff_binary64 |
| 424× | log-prod_binary64 |
| 364× | fma-def_binary64 |
| 239× | pow2_binary64 |
| 225× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 192 | 30 |
| 2 | 2985 | 30 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
(/.f64 1 (+.f64 x 1)) |
(/.f64 1 (-.f64 x 1)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 604× | fma-neg_binary64 |
| 493× | associate-/r*_binary64 |
| 460× | associate-*l*_binary64 |
| 421× | times-frac_binary64 |
| 363× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 581 |
| 1 | 177 | 552 |
| 2 | 560 | 540 |
| 3 | 2048 | 537 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
| Outputs |
|---|
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(fma.f64 2 (*.f64 x x) 2) |
(*.f64 2 (fma.f64 x x 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2)) |
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4))) |
(*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2))) |
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 4))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))) |
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8)))) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 4))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))) |
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8)))) |
1 |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) |
(+.f64 1 (fma.f64 -1 x (*.f64 x x))) |
(+.f64 (*.f64 x x) (-.f64 1 x)) |
(fma.f64 x x (-.f64 1 x)) |
(-.f64 (fma.f64 x x 1) x) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 x x) (-.f64 1 x)) (pow.f64 x 3)) |
(-.f64 (fma.f64 x x (-.f64 1 x)) (pow.f64 x 3)) |
(+.f64 1 (*.f64 x (-.f64 x (fma.f64 x x 1)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))) |
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4))) |
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))) |
-1 |
(-.f64 (*.f64 -1 x) 1) |
(fma.f64 -1 x -1) |
(fma.f64 x -1 -1) |
(-.f64 -1 x) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1) |
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1)) |
(fma.f64 -1 (fma.f64 x x x) -1) |
(-.f64 -1 (fma.f64 x x x)) |
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1) |
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1) |
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (fma.f64 x x x) -1)) |
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3)) |
(*.f64 (fma.f64 x x 1) (-.f64 -1 x)) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))) |
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
Compiled 5841 to 4737 computations (18.9% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 249 | 5 | 254 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 249 | 6 | 255 |
| Status | Error | Program |
|---|---|---|
| ✓ | 15.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| ▶ | 31.9b | (/.f64 -2 (*.f64 x x)) |
| 32.0b | 2 | |
| ▶ | 32.1b | (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) |
| ▶ | 14.3b | (/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1)) |
| ▶ | 32.0b | (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) |
Compiled 56 to 44 computations (21.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) |
| 0.0b | (/.f64 1 (-.f64 x 1)) |
Compiled 23 to 17 computations (26.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) |
| 1.0ms | x | @ | inf | (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) |
| 1.0ms | x | @ | -inf | (-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) |
| 1× | batch-egg-rewrite |
| 953× | prod-diff_binary64 |
| 620× | unpow-prod-down_binary64 |
| 371× | log-prod_binary64 |
| 352× | fma-def_binary64 |
| 218× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 170 | 13 |
| 2 | 2643 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1 x (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1))) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1))) (fma.f64 -1 (/.f64 1 (+.f64 x -1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) (cbrt.f64 (/.f64 1 (+.f64 x -1))) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1))) (fma.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2))) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1))) (fma.f64 (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (neg.f64 (pow.f64 (+.f64 x -1) -1/2)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (+.f64 x -1) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (*.f64 (neg.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 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(/.f64 1 (+.f64 x -1))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x) (+.f64 x -1)))))) |
| 1× | egg-herbie |
| 865× | fma-def_binary64 |
| 625× | distribute-rgt-out_binary64 |
| 514× | associate-*l*_binary64 |
| 454× | distribute-lft-out_binary64 |
| 429× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 124 |
| 1 | 62 | 106 |
| 2 | 165 | 102 |
| 3 | 436 | 102 |
| 4 | 1501 | 100 |
| 5 | 4922 | 100 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 (pow.f64 x 2)) |
(+.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3))) |
(+.f64 2 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(*.f64 -1 x) |
(+.f64 1 (*.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(*.f64 -1 x) |
(+.f64 1 (*.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
| Outputs |
|---|
2 |
(+.f64 2 (pow.f64 x 2)) |
(+.f64 2 (*.f64 x x)) |
(fma.f64 x x 2) |
(+.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 3))) |
(+.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 3))) |
(+.f64 2 (fma.f64 x x (pow.f64 x 3))) |
(fma.f64 x (fma.f64 x x x) 2) |
(+.f64 2 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (pow.f64 x 3)))) |
(+.f64 2 (+.f64 (*.f64 x x) (+.f64 (pow.f64 x 3) (pow.f64 x 4)))) |
(+.f64 (+.f64 (fma.f64 x x 2) (pow.f64 x 4)) (pow.f64 x 3)) |
(+.f64 2 (fma.f64 x (fma.f64 x x x) (pow.f64 x 4))) |
(fma.f64 x (fma.f64 x (fma.f64 x x x) x) 2) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 (neg.f64 x) 1) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x))) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 1 (+.f64 x (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(+.f64 1 (-.f64 (neg.f64 x) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))) |
(-.f64 (-.f64 1 x) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (-.f64 1 x) (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 x) x) (/.f64 (/.f64 -1 x) x))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 x) x) (/.f64 -1 (*.f64 x x)))) |
(-.f64 1 (-.f64 x (*.f64 (/.f64 1 x) (-.f64 (/.f64 -1 x) 1)))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 (neg.f64 x) 1) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(+.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x))) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 1 (+.f64 x (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))) |
(+.f64 1 (-.f64 (neg.f64 x) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))) |
(-.f64 (-.f64 1 x) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (-.f64 1 x) (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 x) x) (/.f64 (/.f64 -1 x) x))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 -1 x) x) (/.f64 -1 (*.f64 x x)))) |
(-.f64 1 (-.f64 x (*.f64 (/.f64 1 x) (-.f64 (/.f64 -1 x) 1)))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) |
| 0.0b | (/.f64 1 (+.f64 x 1)) |
Compiled 24 to 18 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) |
| 1× | batch-egg-rewrite |
| 732× | prod-diff_binary64 |
| 636× | unpow-prod-down_binary64 |
| 387× | log-prod_binary64 |
| 350× | fma-def_binary64 |
| 235× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 13 |
| 1 | 186 | 13 |
| 2 | 2755 | 13 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 803× | unswap-sqr_binary64 |
| 461× | distribute-rgt-neg-in_binary64 |
| 410× | distribute-lft-neg-in_binary64 |
| 348× | fma-neg_binary64 |
| 338× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 110 |
| 1 | 59 | 102 |
| 2 | 156 | 102 |
| 3 | 472 | 100 |
| 4 | 1607 | 100 |
| 5 | 4520 | 100 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 2 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 2 (pow.f64 x 2))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 4)))) |
x |
(+.f64 1 x) |
(+.f64 1 (+.f64 (/.f64 1 x) x)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) x)) (/.f64 1 (pow.f64 x 2))) |
x |
(+.f64 1 x) |
(+.f64 1 (+.f64 (/.f64 1 x) x)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) x)) (/.f64 1 (pow.f64 x 2))) |
| Outputs |
|---|
2 |
(+.f64 2 (pow.f64 x 2)) |
(+.f64 2 (*.f64 x x)) |
(fma.f64 x x 2) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 2 (pow.f64 x 2))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 2 (*.f64 x x))) |
(-.f64 (fma.f64 x x 2) (pow.f64 x 3)) |
(fma.f64 x x (-.f64 2 (pow.f64 x 3))) |
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 2 (+.f64 (pow.f64 x 2) (pow.f64 x 4)))) |
(fma.f64 -1 (pow.f64 x 3) (+.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 4)))) |
(-.f64 (+.f64 2 (fma.f64 x x (pow.f64 x 4))) (pow.f64 x 3)) |
(+.f64 (fma.f64 x x (-.f64 2 (pow.f64 x 3))) (pow.f64 x 4)) |
(fma.f64 (*.f64 x x) (-.f64 (fma.f64 x x 1) x) 2) |
(fma.f64 (pow.f64 x 3) (+.f64 x -1) (fma.f64 x x 2)) |
x |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (/.f64 1 x) x)) |
(+.f64 1 (+.f64 x (/.f64 1 x))) |
(+.f64 x (+.f64 1 (/.f64 1 x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 1 (-.f64 (+.f64 x (/.f64 1 x)) (/.f64 1 (*.f64 x x)))) |
(-.f64 (+.f64 x (+.f64 1 (/.f64 1 x))) (/.f64 1 (*.f64 x x))) |
(+.f64 x (-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (*.f64 x x)))) |
(+.f64 x (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 1 x)))) |
(+.f64 x (+.f64 (/.f64 1 x) (+.f64 1 (/.f64 -1 (*.f64 x x))))) |
x |
(+.f64 1 x) |
(+.f64 x 1) |
(+.f64 1 (+.f64 (/.f64 1 x) x)) |
(+.f64 1 (+.f64 x (/.f64 1 x))) |
(+.f64 x (+.f64 1 (/.f64 1 x))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) x)) (/.f64 1 (pow.f64 x 2))) |
(+.f64 1 (-.f64 (+.f64 x (/.f64 1 x)) (/.f64 1 (*.f64 x x)))) |
(-.f64 (+.f64 x (+.f64 1 (/.f64 1 x))) (/.f64 1 (*.f64 x x))) |
(+.f64 x (-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (*.f64 x x)))) |
(+.f64 x (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 1 x)))) |
(+.f64 x (+.f64 (/.f64 1 x) (+.f64 1 (/.f64 -1 (*.f64 x x))))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 -2 (*.f64 x x)) |
Compiled 11 to 5 computations (54.5% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 -2 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 -2 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 -2 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 491× | pow1_binary64 |
| 480× | add-sqr-sqrt_binary64 |
| 459× | add-log-exp_binary64 |
| 459× | log1p-expm1-u_binary64 |
| 459× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 108 | 7 |
| 2 | 1299 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2)))))))) |
| 1× | egg-herbie |
| 1140× | associate-/r*_binary64 |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 11 | 84 |
| 2 | 20 | 84 |
| 3 | 35 | 84 |
| 4 | 75 | 84 |
| 5 | 224 | 84 |
| 6 | 834 | 84 |
| 7 | 2043 | 84 |
| 8 | 2209 | 84 |
| 9 | 2393 | 84 |
| 10 | 2601 | 84 |
| 11 | 2898 | 84 |
| 12 | 3291 | 84 |
| 13 | 3772 | 84 |
| 14 | 4340 | 84 |
| 15 | 5028 | 84 |
| 16 | 5863 | 84 |
| 17 | 6255 | 84 |
| 18 | 6543 | 84 |
| 19 | 6819 | 84 |
| 20 | 6891 | 84 |
| 21 | 6927 | 84 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 -1 (+.f64 1 x)) |
| ✓ | 0.0b | (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) |
| ✓ | 0.0b | (/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1)) |
| ✓ | 3.2b | (+.f64 x (-.f64 -1 (+.f64 1 x))) |
Compiled 48 to 35 computations (27.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 -1 (+.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1)) |
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1)) |
| 1× | batch-egg-rewrite |
| 596× | log-prod_binary64 |
| 495× | fma-def_binary64 |
| 291× | log-div_binary64 |
| 277× | fma-neg_binary64 |
| 223× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 43 |
| 1 | 242 | 43 |
| 2 | 3972 | 38 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (-.f64 -1 (+.f64 1 x))) |
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1)) |
(/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) |
(-.f64 -1 (+.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x -1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 x -1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 -2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x -2) x)) (/.f64 (pow.f64 (-.f64 -2 x) 2) (+.f64 (-.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 x -1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x -2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) (cbrt.f64 (+.f64 x (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (sqrt.f64 (+.f64 x (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (/.f64 1 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (/.f64 1 (+.f64 (-.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 x -2) x) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3)) (+.f64 (pow.f64 (-.f64 -2 x) 2) (-.f64 (*.f64 x x) (*.f64 x (-.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2)) (+.f64 (-.f64 x -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))) (neg.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))) (neg.f64 (+.f64 (-.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 x -1) 1)) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (fma.f64 x (+.f64 x -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 x x -1) (fma.f64 x (+.f64 x -1) 1)) (*.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3)))) (*.f64 (+.f64 x 1) (fma.f64 x (+.f64 x -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (-.f64 1 x)) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (-.f64 1 (*.f64 x x)))) (*.f64 (-.f64 (fma.f64 x x 1) (*.f64 x -1)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 x x -1) (-.f64 1 x)) (*.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x)))) (*.f64 (+.f64 x 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 x 1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 (pow.f64 (+.f64 x 1) 2) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (+.f64 x 1) 2)) (+.f64 (+.f64 x -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 -2 x) 2) (*.f64 x x)) (-.f64 (-.f64 -2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (-.f64 -2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (-.f64 -2 x) (-.f64 (-.f64 -2 x) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 -2 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (-.f64 x -2) x) (-.f64 (*.f64 x x) (pow.f64 (-.f64 -2 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (-.f64 -2 x)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) (*.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (*.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x (-.f64 -2 x))) (/.f64 1 (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (+.f64 x (-.f64 -2 x)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 (+.f64 x (-.f64 -2 x))) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (+.f64 x (-.f64 -2 x)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 2)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (+.f64 x (-.f64 -2 x))) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (+.f64 x (-.f64 -2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 3) (pow.f64 (+.f64 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x 1) (+.f64 x (-.f64 -2 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x (-.f64 -2 x)) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 x (-.f64 -2 x))) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 x (-.f64 -2 x))) (log1p.f64 x)) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x -1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (fma.f64 x -1 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x -1 -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 -2 x))) (cbrt.f64 (exp.f64 (-.f64 -2 x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 -2 x)) (pow.f64 (cbrt.f64 (-.f64 -2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -2 x)) 2) (cbrt.f64 (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -2 x)) (sqrt.f64 (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 (+.f64 x 1) x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 x 1) x 1) (-.f64 -1 (pow.f64 (+.f64 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3))) (neg.f64 (fma.f64 (+.f64 x 1) x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -8 (pow.f64 x 3)) (+.f64 4 (fma.f64 x x (*.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (fma.f64 x -1 -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 x -1 -1) (fma.f64 x -1 -1)) (*.f64 -1 (fma.f64 x -1 -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 x x)) (+.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 x -1 -1) (fma.f64 x -1 -1))) (-.f64 -1 (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 -2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 -2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 -2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (+.f64 x 1) x 1) (-.f64 -1 (pow.f64 (+.f64 x 1) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 1 (pow.f64 (+.f64 x 1) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 -2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 -2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 -2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x -1 -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) -1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (neg.f64 (cbrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 x -1 -1)) (cbrt.f64 (fma.f64 x -1 -1))) (cbrt.f64 (fma.f64 x -1 -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -1 -1)) (sqrt.f64 (fma.f64 x -1 -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) -1))))) |
| 1× | egg-herbie |
| 843× | times-frac_binary64 |
| 498× | associate-*l*_binary64 |
| 472× | associate-/r*_binary64 |
| 455× | fma-neg_binary64 |
| 372× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 471 |
| 1 | 171 | 451 |
| 2 | 519 | 437 |
| 3 | 1812 | 430 |
| 1× | node limit |
| Inputs |
|---|
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
-2 |
(-.f64 (*.f64 2 x) 2) |
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2) |
(/.f64 -2 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 -2 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
-2 |
(-.f64 (*.f64 -1 x) 2) |
(-.f64 (*.f64 -1 x) 2) |
(-.f64 (*.f64 -1 x) 2) |
(*.f64 -1 x) |
(-.f64 (*.f64 -1 x) 2) |
(-.f64 (*.f64 -1 x) 2) |
(-.f64 (*.f64 -1 x) 2) |
(*.f64 -1 x) |
(-.f64 (*.f64 -1 x) 2) |
(-.f64 (*.f64 -1 x) 2) |
(-.f64 (*.f64 -1 x) 2) |
| Outputs |
|---|
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
-2 |
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(fma.f64 2 (*.f64 x x) 2) |
(*.f64 2 (fma.f64 x x 1)) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2)) |
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4))) |
(*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2))) |
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 (/.f64 -2 x) x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 6))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))) |
(+.f64 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8)))) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 (/.f64 -2 x) x) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 6))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))) |
(+.f64 (+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) (/.f64 -2 (pow.f64 x 8))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 (/.f64 -2 x) x)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8)))) |
-2 |
(-.f64 (*.f64 2 x) 2) |
(fma.f64 2 x -2) |
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2) |
(+.f64 (fma.f64 2 x (*.f64 -2 (*.f64 x x))) -2) |
(fma.f64 2 x (fma.f64 -2 (*.f64 x x) -2)) |
(fma.f64 -2 (*.f64 x x) (fma.f64 2 x -2)) |
(fma.f64 x (+.f64 2 (*.f64 -2 x)) -2) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2) |
(+.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 -2 (*.f64 x x)))) -2) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (fma.f64 -2 (*.f64 x x) -2))) |
(+.f64 (fma.f64 2 x -2) (*.f64 (*.f64 x x) (fma.f64 2 x -2))) |
(*.f64 (fma.f64 x x 1) (fma.f64 2 x -2)) |
(/.f64 -2 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)) |
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) |
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 2 x) 2))) |
(/.f64 -2 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)) |
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) |
(+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))) |
(+.f64 (/.f64 (/.f64 2 x) x) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -2 (pow.f64 x 3))))) |
(+.f64 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 -2 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 2 x) 2))) |
-2 |
(-.f64 (*.f64 -1 x) 2) |
(fma.f64 -1 x -2) |
(fma.f64 x -1 -2) |
(-.f64 -2 x) |
(-.f64 (*.f64 -1 x) 2) |
(fma.f64 -1 x -2) |
(fma.f64 x -1 -2) |
(-.f64 -2 x) |
(-.f64 (*.f64 -1 x) 2) |
(fma.f64 -1 x -2) |
(fma.f64 x -1 -2) |
(-.f64 -2 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(-.f64 (*.f64 -1 x) 2) |
(fma.f64 -1 x -2) |
(fma.f64 x -1 -2) |
(-.f64 -2 x) |
(-.f64 (*.f64 -1 x) 2) |
(fma.f64 -1 x -2) |
(fma.f64 x -1 -2) |
(-.f64 -2 x) |
(-.f64 (*.f64 -1 x) 2) |
(fma.f64 -1 x -2) |
(fma.f64 x -1 -2) |
(-.f64 -2 x) |
(*.f64 -1 x) |
(neg.f64 x) |
(-.f64 (*.f64 -1 x) 2) |
(fma.f64 -1 x -2) |
(fma.f64 x -1 -2) |
(-.f64 -2 x) |
(-.f64 (*.f64 -1 x) 2) |
(fma.f64 -1 x -2) |
(fma.f64 x -1 -2) |
(-.f64 -2 x) |
(-.f64 (*.f64 -1 x) 2) |
(fma.f64 -1 x -2) |
(fma.f64 x -1 -2) |
(-.f64 -2 x) |
Compiled 18035 to 13909 computations (22.9% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 797 | 8 | 805 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 2 | 4 |
| Total | 800 | 11 | 811 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.1b | (/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1)) |
| ✓ | 31.9b | (/.f64 -2 (*.f64 x x)) |
| 62.0b | x | |
| 32.0b | 2 | |
| 31.6b | (*.f64 (pow.f64 x -2) -2) | |
| ✓ | 15.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| ▶ | 57.3b | (-.f64 1 x) |
| ▶ | 62.0b | (neg.f64 x) |
| ▶ | 31.7b | (/.f64 (/.f64 -2 x) x) |
| ▶ | 57.3b | (+.f64 x 1) |
| ✓ | 14.3b | (/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1)) |
Compiled 104 to 79 computations (24% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 -2 (+.f64 1 x)) |
| ✓ | 0.1b | (/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1)) |
Compiled 25 to 19 computations (24% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1)) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1)) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1)) |
| 0.0ms | x | @ | -inf | (/.f64 -2 (+.f64 1 x)) |
| 0.0ms | x | @ | inf | (/.f64 -2 (+.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 618× | unpow-prod-down_binary64 |
| 439× | log-prod_binary64 |
| 278× | pow-prod-down_binary64 |
| 249× | pow2_binary64 |
| 196× | fma-def_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 202 | 20 |
| 2 | 2826 | 15 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1)) |
(/.f64 -2 (+.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 (/.f64 (+.f64 x -1) (/.f64 1 (+.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (fma.f64 x x 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 1 x)) (pow.f64 (/.f64 1 (-.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) 1) (/.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 (/.f64 -2 (+.f64 1 x)) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change 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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (+.f64 1 x) -1/2) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x -1) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (/.f64 -2 (fma.f64 x x -1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (fma.f64 x x -1))))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 2) (cbrt.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) (sqrt.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 (/.f64 1 (+.f64 -1 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 -2 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -2 (+.f64 1 (pow.f64 x 3))) 1) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -2 (-.f64 1 (*.f64 x x))) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 4 (pow.f64 (+.f64 1 x) 2)) -2) 1/3) (cbrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 -2 (+.f64 1 x)) (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 4 (pow.f64 (+.f64 1 x) 2)) (sqrt.f64 (/.f64 -2 (+.f64 1 x)))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -2) 3) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) 2) 3) (cbrt.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -2) 2) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 x) -1/2)) 2) -1) (cbrt.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (pow.f64 (+.f64 1 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 x) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 1 x) -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 -3) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 -3) (log1p.f64 x)) 1)))))) |
| 1× | egg-herbie |
| 843× | times-frac_binary64 |
| 484× | associate-*l*_binary64 |
| 468× | associate-/r*_binary64 |
| 448× | fma-neg_binary64 |
| 374× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 407 |
| 1 | 165 | 387 |
| 2 | 510 | 382 |
| 3 | 1785 | 375 |
| 1× | node limit |
| Inputs |
|---|
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(/.f64 -2 (pow.f64 x 2)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
-2 |
(-.f64 (*.f64 2 x) 2) |
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2) |
(/.f64 -2 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(/.f64 -2 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
| Outputs |
|---|
2 |
(+.f64 (*.f64 2 (pow.f64 x 2)) 2) |
(fma.f64 2 (*.f64 x x) 2) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 2 (pow.f64 x 4)))) |
(+.f64 (fma.f64 2 (*.f64 x x) 2) (*.f64 2 (pow.f64 x 4))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 4) 2)) |
(*.f64 2 (+.f64 (fma.f64 x x 1) (pow.f64 x 4))) |
(*.f64 2 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) |
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (+.f64 2 (*.f64 2 (pow.f64 x 4))))) |
(fma.f64 2 (*.f64 x x) (fma.f64 2 (pow.f64 x 6) (fma.f64 2 (pow.f64 x 4) 2))) |
(fma.f64 2 (fma.f64 x x (pow.f64 x 6)) (fma.f64 2 (pow.f64 x 4) 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (*.f64 x x)))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))) |
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))))) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))) |
(neg.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (/.f64 -2 (pow.f64 x 6))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (-.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (*.f64 x x)))) |
(neg.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 8))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))) |
(neg.f64 (+.f64 (+.f64 (/.f64 2 (pow.f64 x 8)) (/.f64 2 (pow.f64 x 6))) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (*.f64 x x))))) |
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))))) |
(+.f64 (+.f64 (/.f64 -2 (pow.f64 x 4)) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8)))) |
(+.f64 (/.f64 -2 (pow.f64 x 4)) (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 -2 (pow.f64 x 6)) (/.f64 -2 (pow.f64 x 8))))) |
-2 |
(-.f64 (*.f64 2 x) 2) |
(fma.f64 2 x -2) |
(-.f64 (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2))) 2) |
(+.f64 (fma.f64 2 x (*.f64 (*.f64 x x) -2)) -2) |
(fma.f64 2 x (fma.f64 (*.f64 x x) -2 -2)) |
(fma.f64 x (+.f64 2 (*.f64 x -2)) -2) |
(-.f64 (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 x) (*.f64 -2 (pow.f64 x 2)))) 2) |
(+.f64 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (*.f64 (*.f64 x x) -2))) -2) |
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 x (fma.f64 (*.f64 x x) -2 -2))) |
(+.f64 -2 (fma.f64 2 x (*.f64 (*.f64 x x) (fma.f64 2 x -2)))) |
(*.f64 (fma.f64 x x 1) (fma.f64 2 x -2)) |
(/.f64 -2 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)) |
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 2 (/.f64 2 x))))) |
(/.f64 -2 x) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))) |
(-.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 x)) |
(+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) |
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (/.f64 2 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (-.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))))) |
(+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -2 (pow.f64 x 3)))) |
(+.f64 (/.f64 2 (*.f64 x x)) (-.f64 (/.f64 -2 x) (*.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 2 (/.f64 2 x))))) |
Compiled 4 to 2 computations (50% saved)
Compiled 6 to 4 computations (33.3% saved)
Compiled 6 to 4 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (/.f64 -2 x) x) |
Compiled 11 to 7 computations (36.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (/.f64 -2 x) x) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 -2 x) x) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 -2 x) x) |
| 1× | batch-egg-rewrite |
| 581× | pow1_binary64 |
| 545× | add-log-exp_binary64 |
| 545× | log1p-expm1-u_binary64 |
| 545× | expm1-log1p-u_binary64 |
| 535× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 112 | 7 |
| 2 | 1477 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 -2 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 2) (cbrt.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (*.f64 (cbrt.f64 (/.f64 -2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) x) (/.f64 (sqrt.f64 -2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 x)) (*.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) 1) (/.f64 (sqrt.f64 (/.f64 -2 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -2 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -2 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -2 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1140× | associate-/r*_binary64 |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 11 | 84 |
| 2 | 20 | 84 |
| 3 | 35 | 84 |
| 4 | 75 | 84 |
| 5 | 224 | 84 |
| 6 | 834 | 84 |
| 7 | 2043 | 84 |
| 8 | 2209 | 84 |
| 9 | 2393 | 84 |
| 10 | 2601 | 84 |
| 11 | 2898 | 84 |
| 12 | 3291 | 84 |
| 13 | 3772 | 84 |
| 14 | 4340 | 84 |
| 15 | 5028 | 84 |
| 16 | 5863 | 84 |
| 17 | 6255 | 84 |
| 18 | 6543 | 84 |
| 19 | 6819 | 84 |
| 20 | 6891 | 84 |
| 21 | 6927 | 84 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
Compiled 2805 to 2238 computations (20.2% saved)
11 alts after pruning (3 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 188 | 1 | 189 |
| Fresh | 1 | 2 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 189 | 11 | 200 |
| Status | Error | Program |
|---|---|---|
| ✓ | 15.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 32.0b | 2 | |
| ✓ | 0.1b | (/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1)) |
| ✓ | 31.9b | (/.f64 -2 (*.f64 x x)) |
| ▶ | 31.6b | (*.f64 (pow.f64 x -2) -2) |
| ✓ | 57.3b | (-.f64 1 x) |
| ✓ | 62.0b | (neg.f64 x) |
| ✓ | 31.7b | (/.f64 (/.f64 -2 x) x) |
| ✓ | 57.3b | (+.f64 x 1) |
| ✓ | 14.3b | (/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1)) |
| 62.0b | x |
Compiled 71 to 54 computations (23.9% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (pow.f64 x -2) -2) |
Compiled 11 to 8 computations (27.3% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (pow.f64 x -2) -2) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 x -2) -2) |
| 0.0ms | x | @ | -inf | (*.f64 (pow.f64 x -2) -2) |
| 1× | batch-egg-rewrite |
| 452× | pow1_binary64 |
| 442× | add-sqr-sqrt_binary64 |
| 430× | *-un-lft-identity_binary64 |
| 421× | add-log-exp_binary64 |
| 420× | log1p-expm1-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 106 | 7 |
| 2 | 1178 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 x -2) -2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -2) (/.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 x -2)))))))) |
| 1× | egg-herbie |
| 1140× | associate-/r*_binary64 |
| 1082× | sqr-pow_binary64 |
| 560× | cube-prod_binary64 |
| 554× | fabs-mul_binary64 |
| 523× | pow-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 84 |
| 1 | 11 | 84 |
| 2 | 20 | 84 |
| 3 | 35 | 84 |
| 4 | 75 | 84 |
| 5 | 224 | 84 |
| 6 | 834 | 84 |
| 7 | 2043 | 84 |
| 8 | 2209 | 84 |
| 9 | 2393 | 84 |
| 10 | 2601 | 84 |
| 11 | 2898 | 84 |
| 12 | 3291 | 84 |
| 13 | 3772 | 84 |
| 14 | 4340 | 84 |
| 15 | 5028 | 84 |
| 16 | 5863 | 84 |
| 17 | 6255 | 84 |
| 18 | 6543 | 84 |
| 19 | 6819 | 84 |
| 20 | 6891 | 84 |
| 21 | 6927 | 84 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 -2 (pow.f64 x 2)) |
(/.f64 -2 (*.f64 x x)) |
Compiled 94 to 80 computations (14.9% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 13 | 0 | 13 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 13 | 11 | 24 |
| Status | Error | Program |
|---|---|---|
| ✓ | 15.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 32.0b | 2 | |
| ✓ | 0.1b | (/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1)) |
| ✓ | 31.9b | (/.f64 -2 (*.f64 x x)) |
| ✓ | 31.6b | (*.f64 (pow.f64 x -2) -2) |
| ✓ | 57.3b | (-.f64 1 x) |
| ✓ | 62.0b | (neg.f64 x) |
| ✓ | 31.7b | (/.f64 (/.f64 -2 x) x) |
| ✓ | 57.3b | (+.f64 x 1) |
| ✓ | 14.3b | (/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1)) |
| 62.0b | x |
Compiled 71 to 54 computations (23.9% saved)
| Inputs |
|---|
2 |
x |
2 |
2 |
(neg.f64 x) |
(-.f64 1 x) |
(+.f64 x 1) |
(/.f64 (/.f64 -2 x) x) |
(/.f64 -2 (*.f64 x x)) |
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1)) |
(-.f64 (-.f64 1 x) (/.f64 1 (-.f64 x 1))) |
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) |
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
(/.f64 (/.f64 (+.f64 x (-.f64 -1 (+.f64 1 x))) (+.f64 1 x)) (+.f64 x -1)) |
(*.f64 (pow.f64 x -2) -2) |
| Outputs |
|---|
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1)) |
3 calls:
| 8.0ms | x |
| 4.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 3.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 1 | x |
| 0.1b | 1 | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 0.1b | 1 | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
Compiled 107 to 81 computations (24.3% saved)
| Inputs |
|---|
2 |
x |
2 |
2 |
(neg.f64 x) |
(-.f64 1 x) |
(+.f64 x 1) |
(/.f64 (/.f64 -2 x) x) |
(/.f64 -2 (*.f64 x x)) |
| Outputs |
|---|
(/.f64 (/.f64 -2 x) x) |
2 |
(/.f64 (/.f64 -2 x) x) |
1 calls:
| 34.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.7b | 3 | x |
Compiled 25 to 16 computations (36% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 0.00019646281055571253 | 8138.425740932568 |
| 31.0ms | -28.347953871118442 | -0.0008786659385965445 |
Compiled 16 to 13 computations (18.8% saved)
Total -30.7b remaining (-95.7%)
Threshold costs -30.7b (-95.7%)
| Inputs |
|---|
2 |
x |
2 |
2 |
(neg.f64 x) |
(-.f64 1 x) |
(+.f64 x 1) |
| Outputs |
|---|
2 |
1 calls:
| 10.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 32.0b | 1 | x |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
| 2× | +-commutative_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 41 |
| 1 | 23 | 41 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1)) |
(if (<=.f64 x -3989619827833907/140737488355328) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 7248198372645825/36893488147419103232) 2 (/.f64 (/.f64 -2 x) x))) |
2 |
| Outputs |
|---|
(/.f64 (/.f64 -2 (+.f64 1 x)) (+.f64 x -1)) |
(if (<=.f64 x -3989619827833907/140737488355328) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 7248198372645825/36893488147419103232) 2 (/.f64 (/.f64 -2 x) x))) |
2 |
Compiled 32 to 24 computations (25% saved)
Compiled 30 to 22 computations (26.7% saved)
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