Time bar (total: 3.2s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 100% | 0% | 0 |
| 0% | 100% | 0% | 1 |
| 0% | 100% | 0% | 2 |
| 50% | 50% | 0% | 3 |
| 62.5% | 37.5% | 0% | 4 |
| 81.2% | 18.7% | 0% | 5 |
| 90.6% | 9.4% | 0% | 6 |
| 95.3% | 4.7% | 0% | 7 |
| 97.6% | 2.3% | 0% | 8 |
| 98.8% | 1.2% | 0% | 9 |
| 99.4% | 0.6% | 0% | 10 |
| 99.7% | 0.3% | 0% | 11 |
| 99.8% | 0.1% | 0% | 12 |
Compiled 11 to 9 computations (18.2% saved)
| 527.0ms | 5790× | body | 256 | valid |
| 386.0ms | 2030× | body | 512 | valid |
| 106.0ms | 436× | body | 1024 | valid |
| 0.0ms | 1× | body | 256 | invalid |
| 2× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 12× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 12 | 13 |
| 2 | 18 | 13 |
| 3 | 26 | 13 |
| 4 | 36 | 13 |
| 5 | 54 | 13 |
| 6 | 91 | 13 |
| 7 | 124 | 13 |
| 8 | 167 | 13 |
| 9 | 203 | 13 |
| 10 | 229 | 13 |
| 11 | 231 | 13 |
| 0 | 1 | 1 |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
0 |
| Outputs |
|---|
0 |
| Inputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
| Outputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | egg-herbie |
| 39× | fma-def_binary64 |
| 32× | fma-neg_binary64 |
| 15× | cancel-sign-sub-inv_binary64 |
| 12× | sub-neg_binary64 |
| 10× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 12 | 13 |
| 2 | 18 | 13 |
| 3 | 26 | 13 |
| 4 | 36 | 13 |
| 5 | 54 | 13 |
| 6 | 91 | 13 |
| 7 | 124 | 13 |
| 8 | 167 | 13 |
| 9 | 203 | 13 |
| 10 | 229 | 13 |
| 11 | 231 | 13 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
| Outputs |
|---|
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) |
Compiled 19 to 15 computations (21.1% saved)
1 alts after pruning (1 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 | 1 | 2 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 2 | 1 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 12.9b | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) |
Compiled 10 to 8 computations (20% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.9b | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) | |
| 0.0b | (/.f64 1 (+.f64 1 x)) | |
| ✓ | 0.0b | (/.f64 1 (+.f64 1 x)) |
| ✓ | 1.9b | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) |
| 1.0ms | x | @ | 0 | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) |
| 0.0ms | x | @ | inf | (/.f64 1 (+.f64 1 x)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (+.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 902× | prod-diff_binary64 |
| 613× | unpow-prod-down_binary64 |
| 406× | fma-def_binary64 |
| 392× | log-prod_binary64 |
| 233× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 1 | 182 | 20 |
| 2 | 2693 | 20 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) |
(/.f64 1 (+.f64 1 x)) |
| Outputs |
|---|
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x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 x)) 1 (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 -1 x -1)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 x) 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (cbrt.f64 x)) (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 -1 (cbrt.f64 x)) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (/.f64 -1 x)) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (/.f64 -1 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (/.f64 1 (fma.f64 -1 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 1) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (pow.f64 (/.f64 1 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (+.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 1 (-.f64 1 (*.f64 x x))) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) 2) 3) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 x) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 x) -2) (cbrt.f64 (pow.f64 (+.f64 1 x) -2))) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 1 x) -1/2)) 1/3) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 -1 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))))))) |
| 1× | egg-herbie |
| 609× | fma-neg_binary64 |
| 509× | cancel-sign-sub-inv_binary64 |
| 404× | associate-/r*_binary64 |
| 341× | sub-neg_binary64 |
| 332× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 380 |
| 1 | 98 | 372 |
| 2 | 241 | 366 |
| 3 | 732 | 364 |
| 4 | 2410 | 363 |
| 5 | 7363 | 363 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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)))) |
| Outputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 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 (+.f64 1 (/.f64 -1 x)) x) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (-.f64 (-.f64 (*.f64 x x) x) (/.f64 1 x))) |
(+.f64 1 (fma.f64 x (+.f64 -1 x) (/.f64 -1 x))) |
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -1 x))) |
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x 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) x) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.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 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4))))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (*.f64 x 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) x) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.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 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4))))) |
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 1 (-.f64 (*.f64 x x) x)) |
(-.f64 (fma.f64 x x 1) x) |
(fma.f64 x (+.f64 -1 x) 1) |
(+.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 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3)) |
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3)) |
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 1) |
(*.f64 (fma.f64 x x 1) (-.f64 1 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 1 x) (/.f64 (/.f64 -1 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 (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 (/.f64 -1 x) x))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -1 x) (pow.f64 (/.f64 -1 x) 3))) |
(-.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 (*.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 (/.f64 -1 x) x) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 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 1 x) (/.f64 (/.f64 -1 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 (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 (/.f64 -1 x) x))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -1 x) (pow.f64 (/.f64 -1 x) 3))) |
(-.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 (*.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 (/.f64 -1 x) x) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 (pow.f64 x 4))))) |
Compiled 2340 to 1849 computations (21% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 140 | 7 | 147 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 140 | 8 | 148 |
| Status | Error | Program |
|---|---|---|
| ✓ | 12.9b | (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) |
| ▶ | 29.8b | (+.f64 1 (/.f64 -1 x)) |
| 28.3b | (*.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))) | |
| ▶ | 33.9b | (/.f64 (/.f64 -1 x) x) |
| ▶ | 29.8b | (+.f64 (-.f64 1 x) (/.f64 -1 x)) |
| ▶ | 28.9b | (/.f64 -1 x) |
| ▶ | 12.2b | (/.f64 (+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 1 x))) |
| 34.0b | (/.f64 -1 (pow.f64 x 2)) |
Compiled 150 to 114 computations (24% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 1.2b | (+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1)) | |
| 0.0b | (*.f64 (neg.f64 x) (+.f64 1 x)) | |
| ✓ | 0.0b | (*.f64 (neg.f64 x) (+.f64 1 x)) |
| ✓ | 1.2b | (+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (neg.f64 x) (+.f64 1 x)) |
| 0.0ms | x | @ | 0 | (+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1)) |
| 0.0ms | x | @ | 0 | (*.f64 (neg.f64 x) (+.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (neg.f64 x) (+.f64 1 x)) |
| 0.0ms | x | @ | inf | (+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1)) |
| 1× | batch-egg-rewrite |
| 741× | pow1_binary64 |
| 694× | add-log-exp_binary64 |
| 694× | log1p-expm1-u_binary64 |
| 694× | expm1-log1p-u_binary64 |
| 682× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 18 |
| 1 | 188 | 12 |
| 2 | 2683 | 12 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1)) |
(*.f64 (neg.f64 x) (+.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (+.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 1 (+.f64 x x))) (/.f64 (*.f64 x x) (+.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 1 x) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (/.f64 1 (+.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) 2) (cbrt.f64 (+.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) (sqrt.f64 (+.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (fma.f64 x x x)) (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 x x)) (pow.f64 (+.f64 1 (+.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (+.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 1 x) 2) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2)) (neg.f64 (+.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x x) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 1 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 1 x) 2)) (-.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (+.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (+.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (+.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (+.f64 1 x)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x x) (fma.f64 x 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 x x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 x x)) x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 x x)))))) |
| 1× | egg-herbie |
| 648× | fma-neg_binary64 |
| 470× | unswap-sqr_binary64 |
| 444× | distribute-rgt-neg-in_binary64 |
| 339× | sub-neg_binary64 |
| 337× | cancel-sign-sub-inv_binary64 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 117 |
| 1 | 23 | 90 |
| 2 | 46 | 90 |
| 3 | 100 | 90 |
| 4 | 343 | 90 |
| 5 | 1048 | 90 |
| 6 | 2514 | 90 |
| 7 | 4614 | 90 |
| 8 | 5995 | 66 |
| 9 | 7461 | 66 |
| 1× | node limit |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(*.f64 -1 x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(*.f64 -1 (pow.f64 x 2)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
| Outputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(*.f64 -1 x) |
(neg.f64 x) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1 (*.f64 x x) (neg.f64 x)) |
(neg.f64 (fma.f64 x x x)) |
(*.f64 x (-.f64 -1 x)) |
(fma.f64 x x x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1 (*.f64 x x) (neg.f64 x)) |
(neg.f64 (fma.f64 x x x)) |
(*.f64 x (-.f64 -1 x)) |
(fma.f64 x x x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1 (*.f64 x x) (neg.f64 x)) |
(neg.f64 (fma.f64 x x x)) |
(*.f64 x (-.f64 -1 x)) |
(fma.f64 x x x) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1 (*.f64 x x) (neg.f64 x)) |
(neg.f64 (fma.f64 x x x)) |
(*.f64 x (-.f64 -1 x)) |
(fma.f64 x x x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1 (*.f64 x x) (neg.f64 x)) |
(neg.f64 (fma.f64 x x x)) |
(*.f64 x (-.f64 -1 x)) |
(fma.f64 x x x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1 (*.f64 x x) (neg.f64 x)) |
(neg.f64 (fma.f64 x x x)) |
(*.f64 x (-.f64 -1 x)) |
(fma.f64 x x x) |
(*.f64 -1 (pow.f64 x 2)) |
(neg.f64 (*.f64 x x)) |
(*.f64 x (neg.f64 x)) |
(*.f64 x x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1 (*.f64 x x) (neg.f64 x)) |
(neg.f64 (fma.f64 x x x)) |
(*.f64 x (-.f64 -1 x)) |
(fma.f64 x x x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1 (*.f64 x x) (neg.f64 x)) |
(neg.f64 (fma.f64 x x x)) |
(*.f64 x (-.f64 -1 x)) |
(fma.f64 x x x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) |
(fma.f64 -1 (*.f64 x x) (neg.f64 x)) |
(neg.f64 (fma.f64 x x x)) |
(*.f64 x (-.f64 -1 x)) |
(fma.f64 x x x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (/.f64 -1 x) x) | |
| ✓ | 0.1b | (/.f64 (/.f64 -1 x) x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 -1 x) x) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 -1 x) x) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 -1 x) x) |
| 1× | batch-egg-rewrite |
| 521× | pow1_binary64 |
| 500× | add-sqr-sqrt_binary64 |
| 482× | add-log-exp_binary64 |
| 482× | log1p-expm1-u_binary64 |
| 482× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 105 | 7 |
| 2 | 1376 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 -1 x) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 2) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (*.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) 1) (/.f64 (/.f64 -1 (cbrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (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 -1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (sqrt.f64 x)) (/.f64 (/.f64 -1 (cbrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 1 x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 x x)))))))) |
| 1× | egg-herbie |
| 1138× | associate-/r*_binary64 |
| 1106× | sqr-pow_binary64 |
| 561× | cube-prod_binary64 |
| 553× | fabs-mul_binary64 |
| 536× | 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 | 209 | 84 |
| 6 | 754 | 84 |
| 7 | 1962 | 84 |
| 8 | 2128 | 84 |
| 9 | 2312 | 84 |
| 10 | 2520 | 84 |
| 11 | 2811 | 84 |
| 12 | 3202 | 84 |
| 13 | 3680 | 84 |
| 14 | 4241 | 84 |
| 15 | 4925 | 84 |
| 16 | 5758 | 84 |
| 17 | 6150 | 84 |
| 18 | 6438 | 84 |
| 19 | 6716 | 84 |
| 20 | 6794 | 84 |
| 21 | 6828 | 84 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (+.f64 (-.f64 1 x) (/.f64 -1 x)) | |
| ✓ | 0.0b | (+.f64 (-.f64 1 x) (/.f64 -1 x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+.f64 (-.f64 1 x) (/.f64 -1 x)) |
| 0.0ms | x | @ | inf | (+.f64 (-.f64 1 x) (/.f64 -1 x)) |
| 0.0ms | x | @ | -inf | (+.f64 (-.f64 1 x) (/.f64 -1 x)) |
| 1× | batch-egg-rewrite |
| 923× | pow1_binary64 |
| 865× | add-log-exp_binary64 |
| 864× | log1p-expm1-u_binary64 |
| 864× | expm1-log1p-u_binary64 |
| 850× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 155 | 10 |
| 2 | 2251 | 10 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (-.f64 1 x) (/.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (-.f64 1 x) (/.f64 1 x))) (/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (-.f64 1 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -1 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 1 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 (-.f64 1 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) (-.f64 1 x)))) (+.f64 (pow.f64 (-.f64 1 x) 3) (/.f64 -1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 1 x) (/.f64 1 x)) (-.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (/.f64 -1 (pow.f64 x 3))) (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (/.f64 -1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 (-.f64 1 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 1 (*.f64 x x))) (+.f64 (-.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (/.f64 -1 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (/.f64 1 (*.f64 x x)))) (neg.f64 (+.f64 (-.f64 1 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (+.f64 1 (fma.f64 x x x)) 1)) (*.f64 (+.f64 1 (fma.f64 x x x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 x x)) (neg.f64 x)) (*.f64 (+.f64 1 x) 1)) (*.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 x -1)) (*.f64 (+.f64 1 (fma.f64 x x x)) 1)) (*.f64 (+.f64 1 (fma.f64 x x x)) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 x -1)) (*.f64 (+.f64 1 x) 1)) (*.f64 (+.f64 1 x) (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) x) (*.f64 (+.f64 1 (fma.f64 x x x)) -1)) (*.f64 (+.f64 1 (fma.f64 x x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (*.f64 (+.f64 1 x) -1)) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 1 (fma.f64 x x x)) (*.f64 (neg.f64 x) (-.f64 1 (pow.f64 x 3)))) (*.f64 (neg.f64 x) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 1 (fma.f64 x x x)) (*.f64 (*.f64 x -1) (-.f64 1 (pow.f64 x 3)))) (*.f64 (*.f64 x -1) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (+.f64 1 (fma.f64 x x x))) (*.f64 x (-.f64 1 (pow.f64 x 3)))) (*.f64 x (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) (-.f64 1 (*.f64 x x)))) (*.f64 (neg.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.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 (*.f64 -1 (+.f64 1 x)) (*.f64 x (-.f64 1 (*.f64 x x)))) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1 x)) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 x (/.f64 1 x)) (+.f64 x (/.f64 1 x))) (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x (/.f64 1 x)) (+.f64 x (/.f64 1 x)))) (+.f64 1 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (*.f64 x x)) (pow.f64 (-.f64 1 x) 2)) (-.f64 (/.f64 -1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (/.f64 -1 (cbrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (/.f64 -1 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (/.f64 -1 x)))))) |
| 1× | egg-herbie |
| 101× | fma-neg_binary64 |
| 42× | cancel-sign-sub-inv_binary64 |
| 42× | sub-neg_binary64 |
| 40× | fma-def_binary64 |
| 21× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 101 |
| 1 | 20 | 85 |
| 2 | 34 | 85 |
| 3 | 68 | 85 |
| 4 | 146 | 85 |
| 5 | 223 | 85 |
| 6 | 355 | 85 |
| 7 | 445 | 85 |
| 8 | 492 | 85 |
| 9 | 499 | 85 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.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 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 1 x)) |
| Outputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 1 (*.f64 -1 x)) |
(+.f64 1 (neg.f64 x)) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (neg.f64 x)) (/.f64 1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
Compiled 2801 to 1734 computations (38.1% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 170 | 8 | 178 |
| Fresh | 2 | 0 | 2 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 3 | 5 |
| Total | 174 | 12 | 186 |
| Status | Error | Program |
|---|---|---|
| 34.0b | (neg.f64 (/.f64 1 (*.f64 x x))) | |
| ▶ | 0.2b | (/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x))) |
| ▶ | 61.9b | (neg.f64 x) |
| 34.2b | (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3) | |
| ✓ | 29.8b | (+.f64 (-.f64 1 x) (/.f64 -1 x)) |
| ▶ | 34.1b | (*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) |
| 12.1b | (/.f64 (+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1)) (neg.f64 (fma.f64 x x x))) | |
| ▶ | 48.3b | (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) |
| ✓ | 33.9b | (/.f64 (/.f64 -1 x) x) |
| ✓ | 29.8b | (+.f64 1 (/.f64 -1 x)) |
| ✓ | 28.9b | (/.f64 -1 x) |
| ▶ | 33.9b | (*.f64 (/.f64 1 x) (/.f64 -1 x)) |
Compiled 192 to 144 computations (25% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x))) | |
| 0.0b | (*.f64 (neg.f64 x) (+.f64 1 x)) | |
| 0.0b | (*.f64 (neg.f64 x) (+.f64 1 x)) | |
| ✓ | 0.2b | (/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 648× | pow1_binary64 |
| 606× | add-log-exp_binary64 |
| 605× | log1p-expm1-u_binary64 |
| 605× | expm1-log1p-u_binary64 |
| 593× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 12 |
| 1 | 158 | 8 |
| 2 | 2329 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) (cbrt.f64 (pow.f64 (fma.f64 x x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) -1/2) (pow.f64 (fma.f64 x x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x x x)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x x)))))))) |
| 1× | egg-herbie |
| 490× | distribute-neg-frac_binary64 |
| 434× | associate-*l*_binary64 |
| 401× | associate-/r*_binary64 |
| 364× | distribute-rgt-neg-in_binary64 |
| 316× | distribute-lft-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 204 |
| 1 | 77 | 201 |
| 2 | 168 | 199 |
| 3 | 456 | 199 |
| 4 | 1419 | 199 |
| 5 | 5743 | 199 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 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 (-.f64 1 x) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (+.f64 (-.f64 (*.f64 x x) x) (/.f64 -1 x))) |
(+.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x)) |
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -1 x))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.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 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.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 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (*.f64 (/.f64 1 x) (/.f64 -1 x)) | |
| ✓ | 0.2b | (*.f64 (/.f64 1 x) (/.f64 -1 x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 1 x) (/.f64 -1 x)) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 x) (/.f64 -1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 x) (/.f64 -1 x)) |
| 1× | batch-egg-rewrite |
| 458× | pow1_binary64 |
| 444× | add-sqr-sqrt_binary64 |
| 436× | *-un-lft-identity_binary64 |
| 424× | add-log-exp_binary64 |
| 423× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 7 |
| 1 | 140 | 4 |
| 2 | 1728 | 4 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 x (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 x (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 x -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -2))))))) |
| 1× | egg-herbie |
| 1138× | associate-/r*_binary64 |
| 1106× | sqr-pow_binary64 |
| 561× | cube-prod_binary64 |
| 553× | fabs-mul_binary64 |
| 536× | 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 | 209 | 84 |
| 6 | 754 | 84 |
| 7 | 1962 | 84 |
| 8 | 2128 | 84 |
| 9 | 2312 | 84 |
| 10 | 2520 | 84 |
| 11 | 2811 | 84 |
| 12 | 3202 | 84 |
| 13 | 3680 | 84 |
| 14 | 4241 | 84 |
| 15 | 4925 | 84 |
| 16 | 5758 | 84 |
| 17 | 6150 | 84 |
| 18 | 6438 | 84 |
| 19 | 6716 | 84 |
| 20 | 6794 | 84 |
| 21 | 6828 | 84 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) | |
| 0.1b | (/.f64 (sqrt.f64 (/.f64 -1 x)) x) | |
| 0.1b | (sqrt.f64 (/.f64 -1 x)) | |
| ✓ | 0.1b | (sqrt.f64 (/.f64 -1 x)) |
| ✓ | 0.1b | (/.f64 (sqrt.f64 (/.f64 -1 x)) x) |
| ✓ | 0.1b | (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) |
| 1.0ms | x | @ | 0 | (/.f64 (sqrt.f64 (/.f64 -1 x)) x) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (/.f64 -1 x)) |
| 1.0ms | x | @ | inf | (/.f64 (sqrt.f64 (/.f64 -1 x)) x) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) |
| 1× | batch-egg-rewrite |
| 801× | pow1_binary64 |
| 746× | add-log-exp_binary64 |
| 745× | log1p-expm1-u_binary64 |
| 745× | expm1-log1p-u_binary64 |
| 730× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 189 | 22 |
| 2 | 2132 | 22 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) |
(/.f64 (sqrt.f64 (/.f64 -1 x)) x) |
(sqrt.f64 (/.f64 -1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 x (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (pow.f64 (/.f64 -1 x) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (pow.f64 (/.f64 -1 x) -1/2) (/.f64 x (sqrt.f64 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 x (sqrt.f64 (/.f64 -1 x))) (pow.f64 (/.f64 -1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2)) (pow.f64 (/.f64 -1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) 2) (/.f64 1 (cbrt.f64 (/.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (/.f64 x (cbrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (*.f64 (/.f64 x (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -1 (*.f64 x x))) (/.f64 1 (sqrt.f64 (/.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (*.f64 -1 (/.f64 x (sqrt.f64 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (*.f64 (pow.f64 (/.f64 -1 x) -1/2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (*.f64 (neg.f64 x) (pow.f64 (/.f64 -1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (*.f64 (/.f64 x (sqrt.f64 (/.f64 -1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (neg.f64 (sqrt.f64 (/.f64 -1 x)))) (*.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (neg.f64 (sqrt.f64 (/.f64 -1 x)))) (*.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -1 (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 x))) (*.f64 (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 (/.f64 -1 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 (/.f64 -1 x))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) 1) (*.f64 (sqrt.f64 x) (/.f64 x (sqrt.f64 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 -1 x)) (neg.f64 (sqrt.f64 (/.f64 -1 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 -1 x)) (neg.f64 (sqrt.f64 (/.f64 -1 x)))) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 (/.f64 -1 x)))) (*.f64 (sqrt.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 -1)) (*.f64 x (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 -1)) (*.f64 (neg.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 -1 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 (/.f64 -1 x) 3/2))) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (neg.f64 (pow.f64 (/.f64 -1 x) 3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2)) (sqrt.f64 -1)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2)) (neg.f64 (sqrt.f64 (/.f64 -1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 x) 3/2) (pow.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2)) 3) (pow.f64 (/.f64 -1 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 x x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2))) (cbrt.f64 (/.f64 (/.f64 -1 x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 -1 x) (*.f64 x x))) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 x)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2))) (sqrt.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 x) 1/4) (/.f64 (pow.f64 (/.f64 -1 x) 1/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 x) 1/4) (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (*.f64 x x))) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (sqrt.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 -1 x)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 (*.f64 x x))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/4) (cbrt.f64 (*.f64 x x))) (/.f64 (pow.f64 (/.f64 -1 x) 1/4) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 -1 x)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 (/.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (/.f64 -1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 -1 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 x) 3/2) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 (/.f64 -1 x) 3/2)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (/.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 x))) (cbrt.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 x)) (cbrt.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 (/.f64 -1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (pow.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 -1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (/.f64 -1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 -1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 -1 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 -1 x) 1/4) (/.f64 1 (pow.f64 (/.f64 -1 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 -1)) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 -1) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 x) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 -1 x)))))))) |
| 1× | egg-herbie |
| 1375× | associate-/l/_binary64 |
| 1230× | associate-*l/_binary64 |
| 853× | associate-/r/_binary64 |
| 408× | unswap-sqr_binary64 |
| 325× | sqr-pow_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 144 |
| 1 | 17 | 84 |
| 2 | 32 | 84 |
| 3 | 68 | 84 |
| 4 | 241 | 84 |
| 5 | 1769 | 84 |
| 6 | 2738 | 84 |
| 7 | 2920 | 84 |
| 8 | 3129 | 84 |
| 9 | 3356 | 84 |
| 10 | 3660 | 84 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 x x)) |
(/.f64 -1 (*.f64 x x)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) | |
| 0.2b | (/.f64 -1 (cbrt.f64 x)) | |
| 0.2b | (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) | |
| 0.2b | (*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) | |
| ✓ | 0.3b | (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) |
| ✓ | 0.5b | (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) |
| ✓ | 0.5b | (pow.f64 (cbrt.f64 x) 2) |
| ✓ | 0.6b | (cbrt.f64 x) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) |
| 1.0ms | x | @ | -inf | (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 x) 2) |
| 1.0ms | x | @ | -inf | (cbrt.f64 x) |
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) |
| 1× | batch-egg-rewrite |
| 667× | pow1_binary64 |
| 619× | add-log-exp_binary64 |
| 619× | log1p-expm1-u_binary64 |
| 619× | expm1-log1p-u_binary64 |
| 603× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 189 | 21 |
| 2 | 2123 | 21 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 x) 2) |
(pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) |
(/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (pow.f64 (cbrt.f64 x) -1) (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 -1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (pow.f64 (cbrt.f64 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) (*.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 x))) (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 x))) (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (cbrt.f64 x)) (sqrt.f64 (/.f64 -1 (cbrt.f64 x)))) (sqrt.f64 (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) -2))) (cbrt.f64 (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (*.f64 (cbrt.f64 x) -1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (cbrt.f64 x)) (*.f64 (cbrt.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (cbrt.f64 x) -1) (*.f64 (cbrt.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (cbrt.f64 x) -1) (neg.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (neg.f64 (cbrt.f64 x)) (*.f64 (cbrt.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) -1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 -1 (cbrt.f64 x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -1 (cbrt.f64 x)) -1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) -2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (pow.f64 (cbrt.f64 x) -1) (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 x)) (/.f64 -1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (pow.f64 (cbrt.f64 x) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) (*.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 x))) (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 -1 (cbrt.f64 x))) (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (cbrt.f64 x)) (sqrt.f64 (/.f64 -1 (cbrt.f64 x)))) (sqrt.f64 (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (cbrt.f64 x)) -1) (pow.f64 (cbrt.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) -2))) (cbrt.f64 (/.f64 -1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) -2))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 6671 to 4567 computations (31.5% saved)
13 alts after pruning (4 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 425 | 3 | 428 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 8 | 8 |
| Total | 427 | 13 | 440 |
| Status | Error | Program |
|---|---|---|
| ✓ | 61.9b | (neg.f64 x) |
| ▶ | 34.2b | (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3) |
| ✓ | 29.8b | (+.f64 (-.f64 1 x) (/.f64 -1 x)) |
| ✓ | 48.3b | (*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) |
| ✓ | 33.9b | (/.f64 (/.f64 -1 x) x) |
| ✓ | 0.2b | (/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x))) |
| ✓ | 29.8b | (+.f64 1 (/.f64 -1 x)) |
| ✓ | 28.9b | (/.f64 -1 x) |
| ▶ | 0.2b | (/.f64 1 (neg.f64 (fma.f64 x x x))) |
| ▶ | 34.0b | (/.f64 -1 (*.f64 x x)) |
| ✓ | 34.1b | (*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) |
| ▶ | 61.9b | (/.f64 1 x) |
| ✓ | 33.9b | (*.f64 (/.f64 1 x) (/.f64 -1 x)) |
Compiled 104 to 78 computations (25% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 -1 (*.f64 x x)) | |
| ✓ | 0.2b | (/.f64 -1 (*.f64 x x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 -1 (*.f64 x x)) |
| 0.0ms | x | @ | -inf | (/.f64 -1 (*.f64 x x)) |
| 0.0ms | x | @ | inf | (/.f64 -1 (*.f64 x x)) |
| 1× | batch-egg-rewrite |
| 458× | pow1_binary64 |
| 443× | add-sqr-sqrt_binary64 |
| 435× | *-un-lft-identity_binary64 |
| 424× | add-log-exp_binary64 |
| 424× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 102 | 6 |
| 2 | 1212 | 6 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2)))))))) |
| 1× | egg-herbie |
| 1138× | associate-/r*_binary64 |
| 1106× | sqr-pow_binary64 |
| 561× | cube-prod_binary64 |
| 553× | fabs-mul_binary64 |
| 536× | 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 | 209 | 84 |
| 6 | 754 | 84 |
| 7 | 1962 | 84 |
| 8 | 2128 | 84 |
| 9 | 2312 | 84 |
| 10 | 2520 | 84 |
| 11 | 2811 | 84 |
| 12 | 3202 | 84 |
| 13 | 3680 | 84 |
| 14 | 4241 | 84 |
| 15 | 4925 | 84 |
| 16 | 5758 | 84 |
| 17 | 6150 | 84 |
| 18 | 6438 | 84 |
| 19 | 6716 | 84 |
| 20 | 6794 | 84 |
| 21 | 6828 | 84 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(/.f64 (/.f64 -1 x) x) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.2b | (/.f64 1 (neg.f64 (fma.f64 x x x))) | |
| ✓ | 0.2b | (/.f64 1 (neg.f64 (fma.f64 x x x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 1 (neg.f64 (fma.f64 x x x))) |
| 0.0ms | x | @ | -inf | (/.f64 1 (neg.f64 (fma.f64 x x x))) |
| 0.0ms | x | @ | inf | (/.f64 1 (neg.f64 (fma.f64 x x x))) |
| 1× | batch-egg-rewrite |
| 436× | pow1_binary64 |
| 422× | add-sqr-sqrt_binary64 |
| 414× | *-un-lft-identity_binary64 |
| 403× | add-log-exp_binary64 |
| 403× | log1p-expm1-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 119 | 8 |
| 2 | 1453 | 8 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (neg.f64 (fma.f64 x x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x x))) (cbrt.f64 (pow.f64 (fma.f64 x x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) -1/2) (pow.f64 (fma.f64 x x x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1) (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x x)))))))) |
| 1× | egg-herbie |
| 490× | distribute-neg-frac_binary64 |
| 434× | associate-*l*_binary64 |
| 401× | associate-/r*_binary64 |
| 364× | distribute-rgt-neg-in_binary64 |
| 316× | distribute-lft-neg-in_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 204 |
| 1 | 77 | 201 |
| 2 | 168 | 199 |
| 3 | 456 | 199 |
| 4 | 1419 | 199 |
| 5 | 5743 | 199 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (*.f64 -1 x)) (/.f64 1 x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(/.f64 -1 (pow.f64 x 2)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
| Outputs |
|---|
(/.f64 -1 x) |
(-.f64 1 (/.f64 1 x)) |
(+.f64 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 (-.f64 1 x) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 -1 x) x)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 1 x))) |
(+.f64 1 (+.f64 (-.f64 (*.f64 x x) x) (/.f64 -1 x))) |
(+.f64 (-.f64 (fma.f64 x x 1) x) (/.f64 -1 x)) |
(+.f64 1 (-.f64 (fma.f64 x x (/.f64 -1 x)) x)) |
(+.f64 (-.f64 1 x) (fma.f64 x x (/.f64 -1 x))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.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 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 -1 (*.f64 x x)) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.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 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.6b | (cbrt.f64 x) | |
| 0.5b | (pow.f64 (cbrt.f64 x) 2) | |
| 0.4b | (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3) | |
| 0.3b | (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) | |
| 0.3b | (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) | |
| ✓ | 0.4b | (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3) |
| 0.5b | (pow.f64 (cbrt.f64 x) 2) | |
| 0.6b | (cbrt.f64 x) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3) |
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3) |
| 1× | batch-egg-rewrite |
| 716× | pow1_binary64 |
| 672× | add-log-exp_binary64 |
| 671× | log1p-expm1-u_binary64 |
| 671× | expm1-log1p-u_binary64 |
| 655× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 193 | 7 |
| 2 | 1989 | 7 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (pow.f64 (cbrt.f64 x) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 x) -2)) (/.f64 1 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))) (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) -2))) (/.f64 1 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) (cbrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 -1) (cbrt.f64 x)) (/.f64 1 (*.f64 x (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x (cbrt.f64 x)))) 3) (neg.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 -1) (cbrt.f64 x)) 3) (pow.f64 (/.f64 (sqrt.f64 -1) (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) -1) (pow.f64 (cbrt.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 1) (neg.f64 (pow.f64 (cbrt.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (/.f64 (sqrt.f64 -1) (cbrt.f64 x))) (/.f64 (sqrt.f64 -1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) -1) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 1) (neg.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (*.f64 x (cbrt.f64 x))) 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 x x)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Compiled 1387 to 920 computations (33.7% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 136 | 1 | 137 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 10 | 12 |
| Total | 139 | 11 | 150 |
| Status | Error | Program |
|---|---|---|
| ✓ | 61.9b | (neg.f64 x) |
| ✓ | 29.8b | (+.f64 (-.f64 1 x) (/.f64 -1 x)) |
| ✓ | 0.2b | (/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x))) |
| ✓ | 29.8b | (+.f64 1 (/.f64 -1 x)) |
| ✓ | 28.9b | (/.f64 -1 x) |
| 33.8b | (neg.f64 (pow.f64 x -2)) | |
| ✓ | 0.2b | (/.f64 1 (neg.f64 (fma.f64 x x x))) |
| ✓ | 34.0b | (/.f64 -1 (*.f64 x x)) |
| ✓ | 33.9b | (/.f64 (/.f64 -1 x) x) |
| ✓ | 61.9b | (/.f64 1 x) |
| ✓ | 33.9b | (*.f64 (/.f64 1 x) (/.f64 -1 x)) |
Compiled 67 to 49 computations (26.9% saved)
| Inputs |
|---|
(neg.f64 x) |
(/.f64 1 x) |
(/.f64 -1 x) |
(/.f64 -1 (*.f64 x x)) |
(+.f64 1 (/.f64 -1 x)) |
(/.f64 (/.f64 -1 x) x) |
(neg.f64 (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) |
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 1 x))) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
(/.f64 1 (neg.f64 (fma.f64 x x x))) |
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1)) (neg.f64 (fma.f64 x x x))) |
(*.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (*.f64 x x))) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x)) |
(pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3) |
(*.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2))) |
| Outputs |
|---|
(/.f64 1 (neg.f64 (fma.f64 x x x))) |
2 calls:
| 12.0ms | x |
| 7.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
Compiled 189 to 129 computations (31.7% saved)
| Inputs |
|---|
(neg.f64 x) |
(/.f64 1 x) |
(/.f64 -1 x) |
(/.f64 -1 (*.f64 x x)) |
(+.f64 1 (/.f64 -1 x)) |
(/.f64 (/.f64 -1 x) x) |
(neg.f64 (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x))) |
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) |
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (+.f64 1 x))) |
(neg.f64 (pow.f64 x -2)) |
(/.f64 -1 (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x))) |
2 calls:
| 10.0ms | x |
| 6.0ms | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) |
Compiled 106 to 73 computations (31.1% saved)
| Inputs |
|---|
(neg.f64 x) |
(/.f64 1 x) |
(/.f64 -1 x) |
(/.f64 -1 (*.f64 x x)) |
(+.f64 1 (/.f64 -1 x)) |
(/.f64 (/.f64 -1 x) x) |
(neg.f64 (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
| Outputs |
|---|
(/.f64 (/.f64 -1 x) x) |
(+.f64 (-.f64 1 x) (/.f64 -1 x)) |
(/.f64 -1 (*.f64 x x)) |
1 calls:
| 16.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 3 | x |
Compiled 46 to 30 computations (34.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.036328354076812584 | 6696.144104084401 |
| 19.0ms | -158115409548.54633 | -0.0940793498996993 |
Compiled 14 to 11 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 x) |
(/.f64 1 x) |
(/.f64 -1 x) |
(/.f64 -1 (*.f64 x x)) |
(+.f64 1 (/.f64 -1 x)) |
(/.f64 (/.f64 -1 x) x) |
(neg.f64 (/.f64 1 (*.f64 x x))) |
(*.f64 (/.f64 1 x) (/.f64 -1 x)) |
| Outputs |
|---|
(/.f64 (/.f64 -1 x) x) |
(+.f64 1 (/.f64 -1 x)) |
(/.f64 -1 (*.f64 x x)) |
1 calls:
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.2b | 3 | x |
Compiled 39 to 25 computations (35.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.036328354076812584 | 6696.144104084401 |
| 18.0ms | -158115409548.54633 | -0.0940793498996993 |
Compiled 14 to 11 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 x) |
(/.f64 1 x) |
(/.f64 -1 x) |
(/.f64 -1 (*.f64 x x)) |
(+.f64 1 (/.f64 -1 x)) |
| Outputs |
|---|
(/.f64 -1 (*.f64 x x)) |
(+.f64 1 (/.f64 -1 x)) |
(/.f64 -1 (*.f64 x x)) |
1 calls:
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.3b | 3 | x |
Compiled 21 to 14 computations (33.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.036328354076812584 | 6696.144104084401 |
| 18.0ms | -158115409548.54633 | -0.0940793498996993 |
Compiled 14 to 11 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 x) |
(/.f64 1 x) |
(/.f64 -1 x) |
(/.f64 -1 (*.f64 x x)) |
| Outputs |
|---|
(/.f64 -1 (*.f64 x x)) |
(/.f64 -1 x) |
(/.f64 -1 (*.f64 x x)) |
1 calls:
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.4b | 3 | x |
Compiled 16 to 10 computations (37.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.036328354076812584 | 6696.144104084401 |
| 18.0ms | -158115409548.54633 | -0.0940793498996993 |
Compiled 14 to 11 computations (21.4% saved)
| Inputs |
|---|
(neg.f64 x) |
(/.f64 1 x) |
(/.f64 -1 x) |
| Outputs |
|---|
(/.f64 -1 x) |
1 calls:
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 28.9b | 1 | x |
Compiled 11 to 7 computations (36.4% saved)
Total -1.3b remaining (-2.1%)
Threshold costs -1.3b (-2.1%)
| Inputs |
|---|
(neg.f64 x) |
(/.f64 1 x) |
| Outputs |
|---|
(/.f64 1 x) |
1 calls:
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 61.9b | 1 | x |
Compiled 8 to 5 computations (37.5% saved)
| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 6× | *-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 165 |
| 1 | 44 | 165 |
| 2 | 55 | 165 |
| 3 | 66 | 163 |
| 4 | 70 | 163 |
| 5 | 71 | 163 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 (neg.f64 (fma.f64 x x x))) |
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x))) |
(if (<=.f64 x -2590562870043383/16384) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 670139850274064768/18446744073709551616) (+.f64 (-.f64 1 x) (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -2590562870043383/16384) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 670139850274064768/18446744073709551616) (+.f64 1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -2590562870043383/16384) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 670139850274064768/18446744073709551616) (+.f64 1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -2590562870043383/16384) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 670139850274064768/18446744073709551616) (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))) |
(/.f64 -1 x) |
(/.f64 1 x) |
(neg.f64 x) |
| Outputs |
|---|
(/.f64 1 (neg.f64 (fma.f64 x x x))) |
(/.f64 1 (*.f64 (neg.f64 x) (+.f64 1 x))) |
(/.f64 1 (*.f64 x (neg.f64 (+.f64 1 x)))) |
(/.f64 1 (*.f64 x (+.f64 (neg.f64 x) -1))) |
(/.f64 1 (*.f64 x (-.f64 -1 x))) |
(if (<=.f64 x -2590562870043383/16384) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 670139850274064768/18446744073709551616) (+.f64 (-.f64 1 x) (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -2590562870043383/16384) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 5235467580266131/144115188075855872) (+.f64 (/.f64 -1 x) (-.f64 1 x)) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -2590562870043383/16384) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 670139850274064768/18446744073709551616) (+.f64 1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -2590562870043383/16384) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 5235467580266131/144115188075855872) (+.f64 1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -2590562870043383/16384) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 670139850274064768/18446744073709551616) (+.f64 1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -2590562870043383/16384) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 5235467580266131/144115188075855872) (+.f64 1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -2590562870043383/16384) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 670139850274064768/18446744073709551616) (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))) |
(if (<=.f64 x -2590562870043383/16384) (/.f64 -1 (*.f64 x x)) (if (<=.f64 x 5235467580266131/144115188075855872) (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))) |
(/.f64 -1 x) |
(/.f64 1 x) |
(neg.f64 x) |
| 1× | fuel |
Compiled 238 to 157 computations (34% saved)
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