Time bar (total: 3.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 13 to 11 computations (15.4% saved)
| 768.0ms | 5758× | body | 256 | valid |
| 506.0ms | 2073× | body | 512 | valid |
| 153.0ms | 425× | 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 |
|---|---|---|
| ▶ | 13.5b | (-.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)) |
| ✓ | 2.1b | (-.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))) |
| 0.0ms | x | @ | inf | (/.f64 1 (-.f64 x 1)) |
| 0.0ms | x | @ | -inf | (/.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 |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 -1 (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (fma.f64 (/.f64 -1 (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 (+.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 1 (+.f64 1 x)) (/.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 1 (+.f64 1 x)) (/.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 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x 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| 1× | egg-herbie |
| 610× | fma-neg_binary64 |
| 490× | associate-/r*_binary64 |
| 455× | associate-*l*_binary64 |
| 421× | times-frac_binary64 |
| 357× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 581 |
| 1 | 177 | 552 |
| 2 | 560 | 540 |
| 3 | 2049 | 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 (*.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)))) |
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)))) |
| 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 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x)))) |
(+.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)))) |
(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 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 8)))) |
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.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 -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 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x)))) |
(+.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)))) |
(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 (/.f64 2 (pow.f64 x 6)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 8)))) |
(-.f64 (/.f64 -2 (pow.f64 x 8)) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.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)))) |
-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 (/.f64 1 (*.f64 x x)) (/.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 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x 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 (/.f64 1 (*.f64 x x)) (/.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 (/.f64 1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x)))) |
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)) |
(-.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 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3)) |
(/.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 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.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 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))) |
(/.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 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.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 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))) |
Compiled 5841 to 4737 computations (18.9% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 251 | 3 | 254 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 251 | 4 | 255 |
| Status | Error | Program |
|---|---|---|
| ✓ | 13.5b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| ▶ | 33.5b | (/.f64 -2 (*.f64 x x)) |
| ▶ | 30.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) |
| 30.0b | 2 |
Compiled 30 to 24 computations (20% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 1 (+.f64 x 1)) |
Compiled 24 to 18 computations (25% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (/.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)) |
Compiled 764 to 602 computations (21.2% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 66 | 2 | 68 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 66 | 6 | 72 |
| Status | Error | Program |
|---|---|---|
| ▶ | 33.2b | (*.f64 (/.f64 -2 x) (/.f64 1 x)) |
| ▶ | 33.1b | (*.f64 (pow.f64 x -2) -2) |
| ✓ | 13.5b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| ✓ | 33.5b | (/.f64 -2 (*.f64 x x)) |
| ✓ | 30.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) |
| 30.0b | 2 |
Compiled 44 to 35 computations (20.5% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (*.f64 (/.f64 -2 x) (/.f64 1 x)) |
Compiled 17 to 12 computations (29.4% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 -2 x) (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 -2 x) (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 -2 x) (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 647× | pow1_binary64 |
| 603× | add-log-exp_binary64 |
| 601× | log1p-expm1-u_binary64 |
| 601× | expm1-log1p-u_binary64 |
| 592× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 149 | 7 |
| 2 | 1769 | 7 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 -2 x) (/.f64 1 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 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (*.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (/.f64 x (cbrt.f64 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -2 x)) (/.f64 x (sqrt.f64 (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 x -1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -2 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 -2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -2 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) 2) (neg.f64 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 sqrt.f64 (pow.f64 (*.f64 -2 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.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 cbrt.f64 (/.f64 (pow.f64 (/.f64 -2 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -2 x) 3) (/.f64 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (/.f64 -2 x) 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 11 to 8 computations (27.3% saved)
Compiled 306 to 220 computations (28.1% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 38 | 1 | 39 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 3 | 4 |
| Total | 39 | 6 | 45 |
| Status | Error | Program |
|---|---|---|
| ✓ | 33.1b | (*.f64 (pow.f64 x -2) -2) |
| ✓ | 13.5b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| ✓ | 33.5b | (/.f64 -2 (*.f64 x x)) |
| ▶ | 33.1b | (/.f64 (/.f64 -2 x) x) |
| ✓ | 30.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) |
| 30.0b | 2 |
Compiled 42 to 33 computations (21.4% 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 362 to 242 computations (33.1% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 37 | 0 | 37 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 37 | 6 | 43 |
| Status | Error | Program |
|---|---|---|
| ✓ | 33.1b | (*.f64 (pow.f64 x -2) -2) |
| ✓ | 13.5b | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| ✓ | 33.5b | (/.f64 -2 (*.f64 x x)) |
| ✓ | 33.1b | (/.f64 (/.f64 -2 x) x) |
| ✓ | 30.1b | (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) |
| 30.0b | 2 |
Compiled 42 to 33 computations (21.4% saved)
| Inputs |
|---|
2 |
(/.f64 (/.f64 -2 x) x) |
(/.f64 -2 (*.f64 x x)) |
(*.f64 (/.f64 -2 x) (/.f64 1 x)) |
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) |
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
(*.f64 (pow.f64 x -2) -2) |
| Outputs |
|---|
(*.f64 (pow.f64 x -2) -2) |
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
3 calls:
| 19.0ms | x |
| 6.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 4.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0b | 3 | x |
| 0b | 2 | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 0b | 2 | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
Compiled 70 to 54 computations (22.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.0 |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
2 |
(/.f64 (/.f64 -2 x) x) |
(/.f64 -2 (*.f64 x x)) |
(*.f64 (/.f64 -2 x) (/.f64 1 x)) |
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) |
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| Outputs |
|---|
(/.f64 (/.f64 -2 x) x) |
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
3 calls:
| 15.0ms | x |
| 5.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 4.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| Error | Segments | Branch |
|---|---|---|
| 0.1b | 3 | x |
| 0.1b | 2 | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
| 0.1b | 2 | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) |
Compiled 65 to 50 computations (23.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.0 |
Compiled 16 to 13 computations (18.8% saved)
| Inputs |
|---|
2 |
(/.f64 (/.f64 -2 x) x) |
(/.f64 -2 (*.f64 x x)) |
(*.f64 (/.f64 -2 x) (/.f64 1 x)) |
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) |
| Outputs |
|---|
(/.f64 (/.f64 -2 x) x) |
(-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) |
(/.f64 (/.f64 -2 x) x) |
1 calls:
| 21.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
Compiled 30 to 21 computations (30% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 4.609788294294903e-22 | 1.5772234608763852e+22 |
| 36.0ms | -1000338689465.2806 | -0.00023655861015826592 |
Compiled 16 to 13 computations (18.8% saved)
Total -62.8b remaining (-38374.1%)
Threshold costs -62.8b (-38374.1%)
| Inputs |
|---|
2 |
(/.f64 (/.f64 -2 x) x) |
(/.f64 -2 (*.f64 x x)) |
(*.f64 (/.f64 -2 x) (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 (/.f64 -2 x) x) |
2 |
(/.f64 (/.f64 -2 x) x) |
1 calls:
| 30.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 3 | x |
Compiled 21 to 14 computations (33.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 4.609788294294903e-22 | 1.5772234608763852e+22 |
| 34.0ms | -1000338689465.2806 | -0.00023655861015826592 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | cancel-sign-sub-inv_binary64 |
| 4× | *-commutative_binary64 |
| 4× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 155 |
| 1 | 41 | 155 |
| 2 | 55 | 155 |
| 3 | 66 | 155 |
| 4 | 81 | 155 |
| 5 | 86 | 155 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) 0) (*.f64 (pow.f64 x -2) -2) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))) |
(if (<=.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) 0) (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))) |
(if (<=.f64 x -8194774544099579/8192) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 306372982770919/664613997892457936451903530140172288) (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) (/.f64 (/.f64 -2 x) x))) |
(if (<=.f64 x -8194774544099579/8192) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 306372982770919/664613997892457936451903530140172288) 2 (/.f64 (/.f64 -2 x) x))) |
2 |
| Outputs |
|---|
(if (<=.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) 0) (*.f64 (pow.f64 x -2) -2) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))) |
(if (<=.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 0) (*.f64 -2 (pow.f64 x -2)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) |
(if (<=.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) 0) (*.f64 -2 (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) |
(if (<=.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1))) 0) (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))) |
(if (<=.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1))) 0) (/.f64 (/.f64 -2 x) x) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (+.f64 x -1)))) |
(if (<=.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))) 0) (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))) |
(if (<=.f64 x -8194774544099579/8192) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 306372982770919/664613997892457936451903530140172288) (-.f64 (/.f64 1 (+.f64 x 1)) (-.f64 -1 x)) (/.f64 (/.f64 -2 x) x))) |
(if (<=.f64 x -8194774544099579/8192) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 306372982770919/664613997892457936451903530140172288) (-.f64 (/.f64 1 (+.f64 1 x)) (-.f64 -1 x)) (/.f64 (/.f64 -2 x) x))) |
(if (<=.f64 x -8194774544099579/8192) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 306372982770919/664613997892457936451903530140172288) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x)) (/.f64 (/.f64 -2 x) x))) |
(if (<=.f64 x -8194774544099579/8192) (/.f64 (/.f64 -2 x) x) (if (<=.f64 x 306372982770919/664613997892457936451903530140172288) 2 (/.f64 (/.f64 -2 x) x))) |
2 |
Compiled 112 to 87 computations (22.3% saved)
| 1× | egg-herbie |
| 610× | fma-neg_binary64 |
| 490× | associate-/r*_binary64 |
| 455× | associate-*l*_binary64 |
| 421× | times-frac_binary64 |
| 357× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 581 |
| 1 | 177 | 552 |
| 2 | 560 | 540 |
| 3 | 2049 | 537 |
| 1× | node limit |
Compiled 12 to 9 computations (25% saved)
Compiled 108 to 83 computations (23.1% saved)
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