Time bar (total: 5.7s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 25% | 74.9% | 0.1% | 5 |
| 37.5% | 62.4% | 0.1% | 6 |
| 50% | 46.8% | 3.2% | 7 |
| 56.2% | 37.5% | 6.3% | 8 |
| 62.4% | 25.8% | 11.8% | 9 |
| 65.6% | 20.3% | 14.1% | 10 |
| 68.7% | 13.5% | 17.9% | 11 |
| 70.2% | 10.5% | 19.2% | 12 |
Compiled 14 to 11 computations (21.4% saved)
| 800.0ms | 8256× | body | 256 | valid |
| 60.0ms | 676× | body | 256 | invalid |
| 2× | egg-herbie |
| 620× | fma-def_binary64 |
| 612× | fma-neg_binary64 |
| 514× | distribute-rgt-in_binary64 |
| 498× | div-sub_binary64 |
| 475× | distribute-lft-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 32 |
| 1 | 41 | 32 |
| 2 | 133 | 32 |
| 3 | 395 | 32 |
| 4 | 1406 | 32 |
| 5 | 6328 | 32 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
(/.f64 (*.f64 (-.f64 1 y) (-.f64 3 y)) (*.f64 x 3)) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)) |
(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 (/.f64 x 3))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y))) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1/3 (/.f64 x 3)) y)) |
(*.f64 (*.f64 1/3 (/.f64 (-.f64 1 x) y)) (-.f64 3 x)) |
(/.f64 (*.f64 (-.f64 1 y) (-.f64 3 y)) (*.f64 x 3)) |
(*.f64 (/.f64 (-.f64 1 y) x) (/.f64 (-.f64 3 y) 3)) |
(*.f64 (/.f64 (-.f64 1 y) x) (-.f64 1 (/.f64 y 3))) |
(/.f64 (-.f64 1 y) (*.f64 (/.f64 x (-.f64 3 y)) 3)) |
(*.f64 (-.f64 1 y) (*.f64 (-.f64 3 y) (/.f64 1/3 x))) |
Compiled 15 to 12 computations (20% saved)
| 1× | egg-herbie |
| 638× | unsub-neg_binary64 |
| 351× | sub-neg_binary64 |
| 330× | associate-/l*_binary64 |
| 308× | fma-def_binary64 |
| 306× | fma-neg_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 16 |
| 1 | 24 | 16 |
| 2 | 71 | 16 |
| 3 | 204 | 16 |
| 4 | 733 | 16 |
| 5 | 3250 | 14 |
| 6 | 7620 | 14 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3)) |
(/.f64 (*.f64 (-.f64 1 x) (-.f64 1 (/.f64 x 3))) y) |
(*.f64 (-.f64 3 x) (/.f64 (-.f64 1 x) (*.f64 3 y))) |
(*.f64 (-.f64 1 x) (/.f64 (-.f64 1 (/.f64 x 3)) y)) |
(*.f64 (-.f64 1 x) (*.f64 (-.f64 3 x) (/.f64 1/3 y))) |
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
Compiled 23 to 17 computations (26.1% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 5.4b | (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
| ▶ | 5.6b | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
Compiled 25 to 19 computations (24% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 5.4b | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) | |
| 0.0b | (*.f64 (-.f64 1 x) (-.f64 3 x)) | |
| ✓ | 0.0b | (*.f64 (-.f64 1 x) (-.f64 3 x)) |
| ✓ | 5.4b | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
Compiled 33 to 23 computations (30.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 1 x) (-.f64 3 x)) |
| 1× | batch-egg-rewrite |
| 627× | log-prod_binary64 |
| 365× | pow-prod-down_binary64 |
| 302× | pow2_binary64 |
| 230× | prod-diff_binary64 |
| 212× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 224 | 26 |
| 2 | 3284 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) (*.f64 y 3)) |
(*.f64 (-.f64 1 x) (-.f64 3 x)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 3 x) (*.f64 (-.f64 1 x) (/.f64 1/3 y))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 3 x) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 3 x) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 3 (-.f64 1 x)) (*.f64 (neg.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) 3) (*.f64 (-.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 27 (pow.f64 x 3))) (*.f64 (+.f64 1 (fma.f64 x x x)) (fma.f64 x (+.f64 x 3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 27 (pow.f64 x 3))) (*.f64 (+.f64 1 x) (fma.f64 x (+.f64 x 3) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 9 (*.f64 x x))) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 9 (*.f64 x x))) (*.f64 (+.f64 1 x) (+.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 x 3)) (-.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 x (+.f64 x 3) 9) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 x x)) (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 x 3) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 x 3)) (-.f64 1 (*.f64 x x))) (*.f64 (fma.f64 x (+.f64 x 3) 9) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 x x)) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 x 3) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (-.f64 3 x)) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 3 x)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 27 (pow.f64 x 3)) (-.f64 1 x)) (fma.f64 x (+.f64 x 3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 9 (*.f64 x x)) (-.f64 1 x)) (+.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (-.f64 9 (*.f64 x x))) (+.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (-.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 3 x) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 3 x) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 x) 3 (*.f64 (-.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (-.f64 1 x) (*.f64 (neg.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 3 x) 1 (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 3 x) 1 (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 3 x)) (cbrt.f64 (pow.f64 (-.f64 3 x) 2)) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 3 x)) (cbrt.f64 (pow.f64 (-.f64 3 x) 2)) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 3 x) 2)) (cbrt.f64 (-.f64 3 x)) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 3 x) 2)) (cbrt.f64 (-.f64 3 x)) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 3 x)) (sqrt.f64 (-.f64 3 x)) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 3 x)) (sqrt.f64 (-.f64 3 x)) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 3) 9)) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 27 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x 3) 9)) (*.f64 (-.f64 3 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (*.f64 x x)) (/.f64 1 (+.f64 x 3)) (*.f64 (neg.f64 x) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 9 (*.f64 x x)) (/.f64 1 (+.f64 x 3)) (*.f64 (-.f64 3 x) (neg.f64 x))))))) |
| 1× | egg-herbie |
| 806× | fma-def_binary64 |
| 776× | unsub-neg_binary64 |
| 340× | distribute-rgt-neg-out_binary64 |
| 338× | distribute-rgt-in_binary64 |
| 329× | distribute-neg-out_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 499 |
| 1 | 60 | 487 |
| 2 | 136 | 463 |
| 3 | 365 | 463 |
| 4 | 1226 | 419 |
| 5 | 4658 | 419 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
3 |
(+.f64 3 (*.f64 -4 x)) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 1/3 y) (*.f64 x x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 1/3 y) (*.f64 x x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(/.f64 (*.f64 1/3 (-.f64 3 x)) (/.f64 y (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 1/3 (-.f64 1 x))) |
(/.f64 (-.f64 1 x) (/.f64 (/.f64 y 1/3) (-.f64 3 x))) |
(*.f64 (-.f64 1 x) (/.f64 (fma.f64 x -1/3 1) y)) |
3 |
(+.f64 3 (*.f64 -4 x)) |
(+.f64 3 (*.f64 x -4)) |
(fma.f64 x -4 3) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (fma.f64 -4 x (*.f64 x x))) |
(+.f64 3 (*.f64 x (+.f64 x -4))) |
(fma.f64 x (+.f64 x -4) 3) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (fma.f64 -4 x (*.f64 x x))) |
(+.f64 3 (*.f64 x (+.f64 x -4))) |
(fma.f64 x (+.f64 x -4) 3) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(fma.f64 -4 x (*.f64 x x)) |
(*.f64 x (+.f64 x -4)) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (fma.f64 -4 x (*.f64 x x))) |
(+.f64 3 (*.f64 x (+.f64 x -4))) |
(fma.f64 x (+.f64 x -4) 3) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (fma.f64 -4 x (*.f64 x x))) |
(+.f64 3 (*.f64 x (+.f64 x -4))) |
(fma.f64 x (+.f64 x -4) 3) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(fma.f64 -4 x (*.f64 x x)) |
(*.f64 x (+.f64 x -4)) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (fma.f64 -4 x (*.f64 x x))) |
(+.f64 3 (*.f64 x (+.f64 x -4))) |
(fma.f64 x (+.f64 x -4) 3) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (fma.f64 -4 x (*.f64 x x))) |
(+.f64 3 (*.f64 x (+.f64 x -4))) |
(fma.f64 x (+.f64 x -4) 3) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 5.0b | (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) | |
| 0.4b | (/.f64 1/3 y) | |
| 0.0b | (fma.f64 x (+.f64 x -4) 3) | |
| ✓ | 0.0b | (fma.f64 x (+.f64 x -4) 3) |
| ✓ | 0.4b | (/.f64 1/3 y) |
| ✓ | 5.0b | (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
Compiled 29 to 20 computations (31% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
| 1.0ms | y | @ | inf | (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
| 0.0ms | x | @ | 0 | (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
| 0.0ms | x | @ | -inf | (*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
| 0.0ms | y | @ | 0 | (/.f64 1/3 y) |
| 1× | batch-egg-rewrite |
| 560× | unpow-prod-down_binary64 |
| 459× | log-prod_binary64 |
| 355× | exp-prod_binary64 |
| 278× | pow2_binary64 |
| 256× | pow-prod-down_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 221 | 26 |
| 2 | 2706 | 26 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (fma.f64 x (+.f64 x -4) 3) (/.f64 1/3 y)) |
(/.f64 1/3 y) |
(fma.f64 x (+.f64 x -4) 3) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 y)) (cbrt.f64 (*.f64 1/9 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/9 (pow.f64 y -2))) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 y)) (sqrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (pow.f64 (/.f64 1 (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/3 y) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1/3 y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 1/9 (pow.f64 y -2)) 1/3) 1/3) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 1/3 y) (cbrt.f64 (/.f64 1/3 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1/3 y) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/3) 3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 y))) 2) 3) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1/3) 2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2) -1) (cbrt.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 y -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/3 y))) 2)) (cbrt.f64 (log.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/3 y)))) (sqrt.f64 (log.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/3 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/3 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/3 y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3 (*.f64 x (+.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x -4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (+.f64 x -4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (+.f64 x -4)) 1) 3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 x -4) 3))) 2)) (*.f64 (fma.f64 x (+.f64 x -4) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 x -4) 3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 x -4) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 x -4) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (+.f64 x -4) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (+.f64 x -4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (+.f64 x -4) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -4) 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -4) 3)) 2) (cbrt.f64 (fma.f64 x (+.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (+.f64 x -4) 3)) (sqrt.f64 (fma.f64 x (+.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 x (+.f64 x -4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x -4) 3) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x -4) 3) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x (+.f64 x -4) 3) (cbrt.f64 (fma.f64 x (+.f64 x -4) 3))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x -4) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x (+.f64 x -4) 3) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x (+.f64 x -4) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x -4) 3))) 2) 3) (cbrt.f64 (fma.f64 x (+.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x -4) 3))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (+.f64 x -4) 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x -4)) 3) 27) (+.f64 (pow.f64 (*.f64 x (+.f64 x -4)) 2) (-.f64 9 (*.f64 (*.f64 x (+.f64 x -4)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 x -4)) 2) 9) (fma.f64 x (+.f64 x -4) -3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (+.f64 x -4) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 x -4) 3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (+.f64 x -4) 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (+.f64 x -4) 3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (+.f64 x -4) 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (+.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (+.f64 x -4) 3))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (+.f64 x -4) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (+.f64 x -4) 3)))) (sqrt.f64 (log.f64 (fma.f64 x (+.f64 x -4) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (+.f64 x -4) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (+.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 x -4) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (+.f64 x -4) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (+.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (+.f64 x -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x -4) 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (+.f64 x -4) 3) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (+.f64 x -4) 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (+.f64 x -4) 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 x -4) 3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (+.f64 x -4) 3))))))) |
| 1× | egg-herbie |
| 1086× | fma-def_binary64 |
| 503× | distribute-neg-frac_binary64 |
| 360× | associate-/l*_binary64 |
| 348× | *-commutative_binary64 |
| 342× | associate-*l/_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 583 |
| 1 | 60 | 559 |
| 2 | 112 | 523 |
| 3 | 206 | 523 |
| 4 | 493 | 346 |
| 5 | 1515 | 346 |
| 6 | 3852 | 346 |
| 7 | 5679 | 346 |
| 8 | 5899 | 346 |
| 9 | 6191 | 346 |
| 10 | 6534 | 346 |
| 11 | 7334 | 346 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
3 |
(+.f64 3 (*.f64 -4 x)) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(pow.f64 x 2) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (*.f64 x x) (/.f64 1/3 y))) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
(*.f64 1/3 (/.f64 (+.f64 (*.f64 (-.f64 x 4) x) 3) y)) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 (/.f64 1/3 y) (*.f64 x x) (/.f64 1 y))) |
(/.f64 (fma.f64 x (fma.f64 x 1/3 -4/3) 1) y) |
3 |
(+.f64 3 (*.f64 -4 x)) |
(+.f64 3 (*.f64 x -4)) |
(fma.f64 x -4 3) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (fma.f64 -4 x (*.f64 x x))) |
(fma.f64 x (+.f64 x -4) 3) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (fma.f64 -4 x (*.f64 x x))) |
(fma.f64 x (+.f64 x -4) 3) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(fma.f64 -4 x (*.f64 x x)) |
(*.f64 x (+.f64 x -4)) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (fma.f64 -4 x (*.f64 x x))) |
(fma.f64 x (+.f64 x -4) 3) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (fma.f64 -4 x (*.f64 x x))) |
(fma.f64 x (+.f64 x -4) 3) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(fma.f64 -4 x (*.f64 x x)) |
(*.f64 x (+.f64 x -4)) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (fma.f64 -4 x (*.f64 x x))) |
(fma.f64 x (+.f64 x -4) 3) |
(+.f64 3 (+.f64 (*.f64 -4 x) (pow.f64 x 2))) |
(+.f64 3 (fma.f64 -4 x (*.f64 x x))) |
(fma.f64 x (+.f64 x -4) 3) |
Compiled 4314 to 3224 computations (25.3% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 260 | 17 | 277 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 262 | 17 | 279 |
| Status | Error | Program |
|---|---|---|
| 22.6b | (*.f64 3 (/.f64 1/3 y)) | |
| 40.0b | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) | |
| ▶ | 0.2b | (-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))) |
| 45.3b | (/.f64 (*.f64 x x) (*.f64 y 3)) | |
| ▶ | 22.3b | (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
| 0.8b | (*.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x)) | |
| ▶ | 22.3b | (/.f64 1 y) |
| ▶ | 45.4b | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| ▶ | 0.4b | (*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3)) |
| 22.8b | (/.f64 3 (*.f64 y 3)) | |
| 0.2b | (*.f64 (-.f64 1 x) (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x))))) | |
| 0.4b | (*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) | |
| 40.3b | (*.f64 (/.f64 x y) (*.f64 x 1/3)) | |
| 0.3b | (pow.f64 (/.f64 3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) -1) | |
| 45.0b | (*.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y)) | |
| 5.4b | (*.f64 (+.f64 (*.f64 x (+.f64 x -4)) 3) (/.f64 1/3 y)) | |
| 22.8b | (/.f64 (+.f64 3 (*.f64 -4 x)) (*.f64 y 3)) |
Compiled 386 to 294 computations (23.8% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))) | |
| 0.1b | (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) | |
| 0.0b | (-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))) | |
| 0.0b | (/.f64 y (-.f64 3 x)) | |
| ✓ | 0.0b | (-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))) |
| ✓ | 0.1b | (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) |
| ✓ | 0.1b | (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))) |
| ✓ | 0.2b | (*.f64 3 (/.f64 y (-.f64 3 x))) |
Compiled 58 to 41 computations (29.3% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (*.f64 3 (/.f64 y (-.f64 3 x))) |
| 2.0ms | y | @ | 0 | (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) |
| 1.0ms | y | @ | 0 | (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))) |
| 1.0ms | y | @ | inf | (*.f64 3 (/.f64 y (-.f64 3 x))) |
| 1.0ms | x | @ | inf | (*.f64 3 (/.f64 y (-.f64 3 x))) |
| 1× | batch-egg-rewrite |
| 686× | log-prod_binary64 |
| 428× | fma-def_binary64 |
| 335× | log-div_binary64 |
| 247× | fma-neg_binary64 |
| 238× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 49 |
| 1 | 261 | 49 |
| 2 | 4088 | 49 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (/.f64 y (-.f64 3 x))) |
(/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x)))) |
(/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) |
(-.f64 (/.f64 1 (*.f64 3 (/.f64 y (-.f64 3 x)))) (/.f64 x (*.f64 3 (/.f64 y (-.f64 3 x))))) |
| Outputs |
|---|
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(-.f64 3 x))) (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (+.f64 1 x)) (pow.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) -2))) (+.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (*.f64 x (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 3 x) y) 1/3 (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 3 x) y) 1/3 (*.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) -2) (pow.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 2)) (/.f64 1 (*.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x)) (+.f64 1 x))) (fma.f64 (neg.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) x (*.f64 x (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 (*.f64 3 y) (-.f64 3 x)) -2) (pow.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 2)) (/.f64 1 (*.f64 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(/.f64 1/3 y) (-.f64 3 x)))) 2)) (cbrt.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (-.f64 3 x)))) (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x) (fma.f64 (neg.f64 (*.f64 (/.f64 1/3 y) (-.f64 3 x))) x (*.f64 x (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x) (fma.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 1 (*.f64 x (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (-.f64 3 x))))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 1/3 y) (-.f64 3 x)))) 2) (*.f64 x (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 1 x) (*.f64 3 y)) (-.f64 3 x) (+.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))) (*.f64 x (*.f64 (/.f64 1/3 y) (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (*.f64 3 y)) (-.f64 3 x) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (*.f64 3 y)) (-.f64 3 x) (*.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 y) (-.f64 3 x) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 y) (-.f64 3 x) (*.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (neg.f64 y)) (neg.f64 (-.f64 3 x)) (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (neg.f64 y)) (neg.f64 (-.f64 3 x)) (*.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 1/3 y) (-.f64 3 x))) 1)))))) |
| 1× | egg-herbie |
| 497× | associate-*l*_binary64 |
| 361× | associate-*r*_binary64 |
| 331× | div-sub_binary64 |
| 307× | associate-/l*_binary64 |
| 242× | fma-def_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 1220 |
| 1 | 200 | 1180 |
| 2 | 526 | 1140 |
| 3 | 1690 | 1127 |
| 4 | 6014 | 1106 |
| 1× | node limit |
| Inputs |
|---|
y |
(+.f64 y (*.f64 1/3 (*.f64 y x))) |
(+.f64 y (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x)))) |
(+.f64 y (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 3))) (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x))))) |
(*.f64 -3 (/.f64 y x)) |
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3))))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4)))))) |
(*.f64 -3 (/.f64 y x)) |
(+.f64 (*.f64 -3 (/.f64 y x)) (*.f64 -9 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (*.f64 -27 (/.f64 y (pow.f64 x 3))))) |
(+.f64 (*.f64 -3 (/.f64 y x)) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 3))) (*.f64 -81 (/.f64 y (pow.f64 x 4)))))) |
(/.f64 x y) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(+.f64 (*.f64 -1/3 (/.f64 (pow.f64 x 2) y)) (/.f64 x y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 x (-.f64 3 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(/.f64 1 y) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(*.f64 -1/3 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 -1/3 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
| Outputs |
|---|
y |
(+.f64 y (*.f64 1/3 (*.f64 y x))) |
(fma.f64 (*.f64 y 1/3) x y) |
(fma.f64 x (*.f64 y 1/3) y) |
(fma.f64 y (*.f64 1/3 x) y) |
(+.f64 y (+.f64 (*.f64 1/9 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 (*.f64 y x)))) |
(+.f64 y (fma.f64 1/9 (*.f64 y (*.f64 x x)) (*.f64 1/3 (*.f64 y x)))) |
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(*.f64 (/.f64 1/3 y) (-.f64 3 x)) |
(*.f64 (/.f64 -1/3 y) (+.f64 x -3)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(+.f64 (*.f64 -1/3 (/.f64 x y)) (/.f64 1 y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(/.f64 1/3 (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 1/3 y) (-.f64 3 x)) |
(*.f64 (/.f64 -1/3 y) (+.f64 x -3)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 -1/3 (/.f64 x y)) |
(*.f64 (/.f64 x y) -1/3) |
(*.f64 x (/.f64 -1/3 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(/.f64 1/3 (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 1/3 y) (-.f64 3 x)) |
(*.f64 (/.f64 -1/3 y) (+.f64 x -3)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(/.f64 1/3 (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 1/3 y) (-.f64 3 x)) |
(*.f64 (/.f64 -1/3 y) (+.f64 x -3)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(/.f64 1/3 (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 1/3 y) (-.f64 3 x)) |
(*.f64 (/.f64 -1/3 y) (+.f64 x -3)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(*.f64 -1/3 (/.f64 x y)) |
(*.f64 (/.f64 x y) -1/3) |
(*.f64 x (/.f64 -1/3 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(/.f64 1/3 (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 1/3 y) (-.f64 3 x)) |
(*.f64 (/.f64 -1/3 y) (+.f64 x -3)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(/.f64 1/3 (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 1/3 y) (-.f64 3 x)) |
(*.f64 (/.f64 -1/3 y) (+.f64 x -3)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(+.f64 (/.f64 1 y) (*.f64 -1/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (-.f64 3 x) y)) |
(/.f64 1/3 (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 1/3 y) (-.f64 3 x)) |
(*.f64 (/.f64 -1/3 y) (+.f64 x -3)) |
(*.f64 (-.f64 3 x) (/.f64 1/3 y)) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) (/.f64 1/3 y)) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) (/.f64 1/3 y)) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) (/.f64 1/3 y)) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) (/.f64 1/3 y)) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) (/.f64 1/3 y)) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) (/.f64 1/3 y)) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) (/.f64 1/3 y)) |
(/.f64 (-.f64 (*.f64 1/3 (-.f64 3 x)) (*.f64 1/3 (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) (/.f64 1/3 y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) (/.f64 1/3 y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) (/.f64 1/3 y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) (/.f64 1/3 y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1/3 (-.f64 3 x)) (*.f64 -1/3 (*.f64 x (-.f64 3 x)))) y)) |
(/.f64 (*.f64 1/3 (-.f64 (-.f64 3 x) (*.f64 x (-.f64 3 x)))) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 1/3 x))) y) |
(/.f64 (*.f64 (+.f64 -1 (*.f64 1/3 x)) (+.f64 -1 x)) y) |
(*.f64 (/.f64 (-.f64 3 x) y) (+.f64 1/3 (*.f64 x -1/3))) |
(*.f64 (+.f64 3 (*.f64 x (+.f64 x -4))) (/.f64 1/3 y)) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3)) |
(fma.f64 (/.f64 x y) -4/3 (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/3 (*.f64 x x)) y) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(/.f64 x (/.f64 (/.f64 y x) 1/3)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3)) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 x y) -4/3)) |
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 1/3 (/.f64 x y)))) |
(*.f64 x (+.f64 (*.f64 1/3 (/.f64 x y)) (/.f64 -4/3 y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(/.f64 (*.f64 1/3 (*.f64 x x)) y) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(/.f64 x (/.f64 (/.f64 y x) 1/3)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3)) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3)) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 (/.f64 x y) -4/3)) |
(*.f64 x (+.f64 (/.f64 -4/3 y) (*.f64 1/3 (/.f64 x y)))) |
(*.f64 x (+.f64 (*.f64 1/3 (/.f64 x y)) (/.f64 -4/3 y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 (/.f64 x y) -4/3))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
(fma.f64 1/3 (*.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))) |
Compiled 7 to 5 computations (28.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 9.4b | (*.f64 (*.f64 x x) (/.f64 1/3 y)) | |
| 0.4b | (/.f64 1/3 y) | |
| 0.4b | (/.f64 1/3 y) | |
| ✓ | 9.4b | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| 1.0ms | y | @ | 0 | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| 1.0ms | y | @ | inf | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| 0.0ms | y | @ | -inf | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| 1× | batch-egg-rewrite |
| 707× | pow1_binary64 |
| 657× | add-log-exp_binary64 |
| 657× | log1p-expm1-u_binary64 |
| 657× | expm1-log1p-u_binary64 |
| 642× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 150 | 10 |
| 2 | 1843 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 x x) (*.f64 y 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 1/3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (*.f64 x 1/3))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (*.f64 x x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (*.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 y 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 x x) (*.f64 y 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 y 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 x x) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 y 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (/.f64 1/3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/3 y) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 x x) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 x x) (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 x x) (*.f64 y 3)))))))) |
| 1× | egg-herbie |
| 705× | associate-/l/_binary64 |
| 636× | sqr-pow_binary64 |
| 589× | *-commutative_binary64 |
| 498× | associate-*l*_binary64 |
| 437× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 240 |
| 1 | 16 | 240 |
| 2 | 31 | 240 |
| 3 | 62 | 240 |
| 4 | 167 | 240 |
| 5 | 588 | 240 |
| 6 | 2447 | 240 |
| 7 | 3516 | 240 |
| 8 | 3724 | 240 |
| 9 | 3943 | 240 |
| 10 | 4171 | 240 |
| 11 | 4503 | 240 |
| 12 | 6038 | 240 |
| 13 | 6702 | 240 |
| 14 | 7490 | 240 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
| Outputs |
|---|
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 -4/3 (/.f64 x y)) | |
| 0.0b | (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) | |
| ✓ | 0.0b | (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
| ✓ | 0.3b | (*.f64 -4/3 (/.f64 x y)) |
Compiled 26 to 14 computations (46.2% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 -4/3 (/.f64 x y)) |
| 1.0ms | y | @ | inf | (*.f64 -4/3 (/.f64 x y)) |
| 1.0ms | y | @ | 0 | (*.f64 -4/3 (/.f64 x y)) |
| 1.0ms | x | @ | 0 | (*.f64 -4/3 (/.f64 x y)) |
| 0.0ms | x | @ | -inf | (*.f64 -4/3 (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 912× | prod-diff_binary64 |
| 454× | log-prod_binary64 |
| 279× | pow-prod-down_binary64 |
| 253× | fma-def_binary64 |
| 246× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 195 | 18 |
| 2 | 2666 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4/3 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -4/3 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (/.f64 y x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -4/3 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (/.f64 y x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -4/3 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -4/3 (/.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4/3 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 -4/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4/3 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -4/3 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -4/3 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) -4/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4/3 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -4/3 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 16/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -4/3 (/.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -4/3 (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -64/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 -4/3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -4/3 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -4/3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) 3) -64/27))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -4/3 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -4/3 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -4/3 (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -4/3 (/.f64 y x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 y -2) (/.f64 (-.f64 1 (*.f64 -4/3 x)) y)) (/.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 16/9) (/.f64 (-.f64 1 (*.f64 -4/3 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) (pow.f64 (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) 2) (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) (sqrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x 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-1 y (*.f64 (neg.f64 y) (*.f64 -4/3 x))) (*.f64 (neg.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 16/9) (pow.f64 y -2)) (-.f64 (/.f64 -4/3 (/.f64 y x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 -4/3 (/.f64 y x)) (-.f64 (/.f64 -4/3 (/.f64 y x)) (/.f64 1 y)) (pow.f64 y -2)) (fma.f64 (pow.f64 (/.f64 x y) 3) -64/27 (pow.f64 y -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 -4/3 x)) y) (-.f64 (pow.f64 y -2) (*.f64 (pow.f64 (/.f64 y x) -2) 16/9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -4/3 (/.f64 y x)))) (exp.f64 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -4/3 (/.f64 y x))) (+.f64 1 (expm1.f64 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -4/3 (/.f64 y x)))) (+.f64 1 (expm1.f64 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 y))) (exp.f64 (/.f64 -4/3 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 y)) (+.f64 1 (expm1.f64 (/.f64 -4/3 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 y))) (+.f64 1 (expm1.f64 (/.f64 -4/3 (/.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (/.f64 1 y) -4/3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x y) -4/3 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4/3 (/.f64 y x)) 1 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -4/3 (/.f64 y x)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) (/.f64 -4/3 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) 1 (/.f64 -4/3 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)) (/.f64 -4/3 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (/.f64 -4/3 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -2)) (*.f64 (cbrt.f64 (/.f64 x y)) -4/3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -4/3 (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 -4/3 (/.f64 y x))) 2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -4/3 (/.f64 y x))) 2) (cbrt.f64 (/.f64 -4/3 (/.f64 y x))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (/.f64 -4/3 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) -4/3) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -4/3 (/.f64 y x))) (sqrt.f64 (/.f64 -4/3 (/.f64 y x))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 y)) (/.f64 -4/3 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/3 x) (/.f64 1 y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 1 (cbrt.f64 y)) (/.f64 -4/3 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4/3 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -4/3 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/3 (cbrt.f64 (pow.f64 (/.f64 y x) -2))) (cbrt.f64 (/.f64 x y)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4/3 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 1 y)))))) |
| 1× | egg-herbie |
| 262× | fma-def_binary64 |
| 237× | fma-neg_binary64 |
| 69× | cancel-sign-sub-inv_binary64 |
| 49× | associate-*l*_binary64 |
| 49× | associate-/l*_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 138 |
| 1 | 33 | 114 |
| 2 | 57 | 114 |
| 3 | 95 | 114 |
| 4 | 173 | 114 |
| 5 | 344 | 114 |
| 6 | 715 | 114 |
| 7 | 1138 | 114 |
| 8 | 1312 | 114 |
| 9 | 1345 | 114 |
| 10 | 1401 | 114 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(/.f64 1 y) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
| Outputs |
|---|
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 4/3 x) 1) y)) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (fma.f64 -4/3 x 1) y) |
(/.f64 1 y) |
(*.f64 -4/3 (/.f64 x y)) |
(/.f64 -4/3 (/.f64 y x)) |
(*.f64 -4/3 (/.f64 x y)) |
(/.f64 -4/3 (/.f64 y x)) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3)) | |
| 0.0b | (/.f64 (-.f64 1 x) 3) | |
| 0.0b | (/.f64 (-.f64 3 x) y) | |
| ✓ | 0.0b | (/.f64 (-.f64 3 x) y) |
| ✓ | 0.0b | (/.f64 (-.f64 1 x) 3) |
| ✓ | 0.4b | (*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3)) |
Compiled 33 to 23 computations (30.3% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | -inf | (/.f64 (-.f64 3 x) y) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 x) 3) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) 3) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 1 x) 3) |
| 1× | batch-egg-rewrite |
| 595× | log-prod_binary64 |
| 319× | pow2_binary64 |
| 277× | prod-diff_binary64 |
| 275× | log-div_binary64 |
| 223× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 237 | 30 |
| 2 | 3496 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 3 x) y) (/.f64 (-.f64 1 x) 3)) |
(/.f64 (-.f64 1 x) 3) |
(/.f64 (-.f64 3 x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))))) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1/3 (*.f64 x 1/3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (*.f64 y (/.f64 3 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (*.f64 (/.f64 3 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (/.f64 (*.f64 3 y) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 3 x) (/.f64 y (-.f64 1/3 (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 3 x) y) (/.f64 3 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 y (-.f64 3 x)) (/.f64 3 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 3 (-.f64 1 x)) (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 3 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (*.f64 (/.f64 y (-.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) (*.f64 3 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (*.f64 (/.f64 y (-.f64 3 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 3 x)) (*.f64 (/.f64 3 (-.f64 1 x)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) (*.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3))) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 3 x) (-.f64 1 x))) (neg.f64 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (/.f64 (-.f64 3 x) y) (-.f64 1 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) 1) (*.f64 (neg.f64 y) (/.f64 3 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) 1) (*.f64 -3 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) (-.f64 1 x)) (*.f64 (neg.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 3 x) (neg.f64 (-.f64 1 x))) (*.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 3 x)) (neg.f64 (-.f64 1 x))) (*.f64 (neg.f64 y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (-.f64 3 x)) (*.f64 -3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) (neg.f64 (-.f64 3 x))) (*.f64 3 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 1 x)) (neg.f64 (-.f64 3 x))) (*.f64 -3 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3))) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1/3 (*.f64 x 1/3))) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y))))) 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egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 3 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 y y))) (/.f64 (-.f64 3 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 3 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 3 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 3 x)) 1) (/.f64 (sqrt.f64 (-.f64 3 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (cbrt.f64 (*.f64 y y))) (cbrt.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 3 x)) (cbrt.f64 (*.f64 y y))) (/.f64 (sqrt.f64 (-.f64 3 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 3 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 3 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 3 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 3 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 3 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 3 x) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 3 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 3 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 3 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 3 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 3 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 3 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 1 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 3 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 3 y)) 2) (cbrt.f64 (/.f64 3 y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 3 y)) (sqrt.f64 (/.f64 3 y)) (neg.f64 (/.f64 x y))))))) |
| 1× | egg-herbie |
| 782× | fma-def_binary64 |
| 421× | distribute-neg-out_binary64 |
| 398× | distribute-rgt-in_binary64 |
| 378× | distribute-rgt-neg-out_binary64 |
| 352× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 597 |
| 1 | 67 | 559 |
| 2 | 138 | 520 |
| 3 | 370 | 496 |
| 4 | 1322 | 476 |
| 5 | 5016 | 476 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
1/3 |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(*.f64 -1/3 x) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(*.f64 -1/3 x) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(/.f64 3 y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 1/3 y) (*.f64 x x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 1/3 y) (*.f64 x x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (*.f64 1/3 (/.f64 x (/.f64 y x))) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 (/.f64 1/3 y) (*.f64 x x) (fma.f64 -4/3 (/.f64 x y) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (-.f64 3 x) (/.f64 y (-.f64 1 x)))) |
(*.f64 (/.f64 1/3 y) (*.f64 (-.f64 3 x) (-.f64 1 x))) |
(*.f64 (/.f64 (-.f64 3 x) y) (fma.f64 x -1/3 1/3)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
1/3 |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(/.f64 3 y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 3 y) (/.f64 x y)) |
(/.f64 (-.f64 3 x) y) |
Compiled 16028 to 11028 computations (31.2% saved)
18 alts after pruning (15 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 720 | 10 | 730 |
| Fresh | 7 | 5 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 729 | 18 | 747 |
| Status | Error | Program |
|---|---|---|
| 40.0b | (*.f64 (/.f64 x y) (+.f64 (*.f64 x 1/3) -4/3)) | |
| ▶ | 0.4b | (/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3) |
| 45.3b | (/.f64 (*.f64 x x) (*.f64 y 3)) | |
| ✓ | 22.3b | (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
| ▶ | 61.2b | (/.f64 -4/3 (/.f64 y x)) |
| 40.5b | (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (-.f64 1 x) 3)) | |
| ✓ | 22.3b | (/.f64 1 y) |
| 61.2b | (*.f64 -4/3 (/.f64 x y)) | |
| 0.4b | (/.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x))) | |
| 22.3b | (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) | |
| ✓ | 45.4b | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| 22.8b | (/.f64 3 (*.f64 y 3)) | |
| 40.4b | (*.f64 (/.f64 (-.f64 3 x) y) (*.f64 -1/3 x)) | |
| ▶ | 45.4b | (/.f64 (*.f64 x (*.f64 x 1/3)) y) |
| ▶ | 22.6b | (*.f64 3 (/.f64 1/3 y)) |
| 40.3b | (*.f64 (/.f64 x y) (*.f64 x 1/3)) | |
| 40.4b | (*.f64 1/3 (*.f64 x (/.f64 x y))) | |
| ▶ | 45.0b | (*.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y)) |
Compiled 313 to 230 computations (26.5% saved)
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) | |
| 0.3b | (/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3) | |
| 0.0b | (/.f64 y (-.f64 3 x)) | |
| ✓ | 0.0b | (/.f64 y (-.f64 3 x)) |
| ✓ | 0.3b | (/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3) |
| ✓ | 0.3b | (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) |
Compiled 37 to 25 computations (32.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 y (-.f64 3 x)) |
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) |
| 1.0ms | y | @ | -inf | (/.f64 y (-.f64 3 x)) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) |
| 1× | batch-egg-rewrite |
| 629× | log-prod_binary64 |
| 520× | prod-diff_binary64 |
| 315× | pow2_binary64 |
| 294× | egg-rr |
| 273× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 237 | 36 |
| 2 | 3542 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) |
(/.f64 (/.f64 (-.f64 1 x) (/.f64 y (-.f64 3 x))) 3) |
(/.f64 y (-.f64 3 x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 3 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 3 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 3 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (-.f64 3 x))) (cbrt.f64 (pow.f64 (/.f64 y (-.f64 3 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y (-.f64 3 x)) 2)) (cbrt.f64 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (-.f64 3 x))) (sqrt.f64 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 3 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) 1) (/.f64 (cbrt.f64 y) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (/.f64 y (cbrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (cbrt.f64 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 3 x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 3 x))) (/.f64 y (sqrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (-.f64 3 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 27 (pow.f64 x 3))) (fma.f64 x (+.f64 x 3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 9 (*.f64 x x))) (+.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (-.f64 3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (-.f64 3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 3 x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 3 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 3 x) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (-.f64 3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 3 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 3 x)))))))) |
| 1× | egg-herbie |
| 778× | fma-def_binary64 |
| 530× | distribute-lft-out_binary64 |
| 343× | distribute-rgt-out_binary64 |
| 338× | associate-*l*_binary64 |
| 311× | cancel-sign-sub-inv_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 971 |
| 1 | 173 | 967 |
| 2 | 411 | 930 |
| 3 | 1208 | 877 |
| 4 | 4556 | 858 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 3 y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -4 (/.f64 x y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y))) |
(/.f64 (pow.f64 x 2) y) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -4 (/.f64 x y)) (+.f64 (*.f64 3 (/.f64 1 y)) (/.f64 (pow.f64 x 2) y))) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 3 x) (-.f64 1 x)) y)) |
(*.f64 1/3 y) |
(+.f64 (*.f64 1/9 (*.f64 y x)) (*.f64 1/3 y)) |
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (*.f64 1/3 y))) |
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 1/3 y) (*.f64 1/81 (*.f64 y (pow.f64 x 3)))))) |
(*.f64 -1 (/.f64 y x)) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(*.f64 -1 (/.f64 y x)) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
| Outputs |
|---|
(/.f64 3 y) |
(+.f64 (*.f64 3 (/.f64 1 y)) (*.f64 -4 (/.f64 x y))) |
(+.f64 (/.f64 3 y) (*.f64 -4 (/.f64 x y))) |
(fma.f64 -4 (/.f64 x y) (/.f64 3 y)) |
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))) |
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 -4 (/.f64 x y) (/.f64 3 y))) |
(+.f64 (*.f64 (/.f64 x y) x) (fma.f64 -4 (/.f64 x y) (/.f64 3 y))) |
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 -4 x))) |
(+.f64 (*.f64 3 (/.f64 1 y)) (+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y))) |
(+.f64 (/.f64 3 y) (fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y))) |
(+.f64 (/.f64 x (/.f64 y x)) (fma.f64 -4 (/.f64 x y) (/.f64 3 y))) |
(+.f64 (*.f64 (/.f64 x y) x) (fma.f64 -4 (/.f64 x y) (/.f64 3 y))) |
(+.f64 (/.f64 3 y) (*.f64 (/.f64 x y) (+.f64 -4 x))) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 (/.f64 x y) x) |
(*.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -4 (/.f64 x y)) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -4 (/.f64 x y) (/.f64 (*.f64 x x) y)) |
(fma.f64 -4 (/.f64 x y) (/.f64 x (/.f64 y x))) |
(fma.f64 -4 (/.f64 x y) (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (+.f64 -4 x)) |
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(fma.f64 1/9 (*.f64 y x) (fma.f64 1/27 (*.f64 x (*.f64 y x)) (*.f64 y 1/3))) |
(fma.f64 y (*.f64 x (*.f64 x 1/27)) (*.f64 y (+.f64 1/3 (*.f64 x 1/9)))) |
(*.f64 y (+.f64 1/3 (*.f64 x (+.f64 1/9 (*.f64 x 1/27))))) |
(*.f64 y (+.f64 1/3 (*.f64 x (+.f64 (*.f64 x 1/27) 1/9)))) |
(+.f64 (*.f64 1/9 (*.f64 y x)) (+.f64 (*.f64 1/27 (*.f64 y (pow.f64 x 2))) (+.f64 (*.f64 1/3 y) (*.f64 1/81 (*.f64 y (pow.f64 x 3)))))) |
(fma.f64 1/9 (*.f64 y x) (fma.f64 1/27 (*.f64 y (*.f64 x x)) (fma.f64 1/3 y (*.f64 1/81 (*.f64 y (pow.f64 x 3)))))) |
(fma.f64 1/9 (*.f64 y x) (fma.f64 1/27 (*.f64 x (*.f64 y x)) (fma.f64 y 1/3 (*.f64 y (*.f64 (pow.f64 x 3) 1/81))))) |
(fma.f64 y (*.f64 x 1/9) (fma.f64 y 1/3 (*.f64 (*.f64 x x) (+.f64 (*.f64 y 1/27) (*.f64 1/81 (*.f64 y x)))))) |
(*.f64 y (+.f64 (*.f64 x (+.f64 1/9 (*.f64 x 1/27))) (fma.f64 1/81 (pow.f64 x 3) 1/3))) |
(*.f64 y (+.f64 1/3 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x 1/81) 1/27)) 1/9)))) |
(*.f64 -1 (/.f64 y x)) |
(neg.f64 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) |
(fma.f64 -3 (/.f64 y (*.f64 x x)) (neg.f64 (/.f64 y x))) |
(-.f64 (*.f64 (/.f64 -3 x) (/.f64 y x)) (/.f64 y x)) |
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x))) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) |
(fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (/.f64 (neg.f64 y) x))) |
(-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))) (/.f64 y x)) |
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x))))) |
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (/.f64 (neg.f64 y) x)))) |
(-.f64 (fma.f64 -27 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x)))) (/.f64 y x)) |
(fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -9 (/.f64 -27 x)))) |
(*.f64 -1 (/.f64 y x)) |
(neg.f64 (/.f64 y x)) |
(/.f64 (neg.f64 y) x) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) |
(fma.f64 -3 (/.f64 y (*.f64 x x)) (neg.f64 (/.f64 y x))) |
(-.f64 (*.f64 (/.f64 -3 x) (/.f64 y x)) (/.f64 y x)) |
(*.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x))) |
(+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) |
(fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x)))) |
(fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (/.f64 (neg.f64 y) x))) |
(-.f64 (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x))) (/.f64 y x)) |
(+.f64 (*.f64 -27 (/.f64 y (pow.f64 x 4))) (+.f64 (*.f64 -3 (/.f64 y (pow.f64 x 2))) (+.f64 (*.f64 -9 (/.f64 y (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (neg.f64 (/.f64 y x))))) |
(fma.f64 -27 (/.f64 y (pow.f64 x 4)) (fma.f64 -3 (/.f64 y (*.f64 x x)) (fma.f64 -9 (/.f64 y (pow.f64 x 3)) (/.f64 (neg.f64 y) x)))) |
(-.f64 (fma.f64 -27 (/.f64 y (pow.f64 x 4)) (*.f64 (/.f64 y (*.f64 x x)) (+.f64 -3 (/.f64 -9 x)))) (/.f64 y x)) |
(fma.f64 (/.f64 y x) (+.f64 -1 (/.f64 -3 x)) (*.f64 (/.f64 y (pow.f64 x 3)) (+.f64 -9 (/.f64 -27 x)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 1/3 y) | |
| 0.2b | (*.f64 3 (/.f64 1/3 y)) | |
| ✓ | 0.2b | (*.f64 3 (/.f64 1/3 y)) |
| 0.4b | (/.f64 1/3 y) |
Compiled 13 to 10 computations (23.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | (*.f64 3 (/.f64 1/3 y)) |
| 0.0ms | y | @ | 0 | (*.f64 3 (/.f64 1/3 y)) |
| 0.0ms | y | @ | -inf | (*.f64 3 (/.f64 1/3 y)) |
| 1× | batch-egg-rewrite |
| 557× | pow1_binary64 |
| 521× | add-log-exp_binary64 |
| 521× | log1p-expm1-u_binary64 |
| 521× | expm1-log1p-u_binary64 |
| 513× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 4 |
| 1 | 130 | 4 |
| 2 | 1445 | 4 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 3 (/.f64 1/3 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 1 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 y))))))) |
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1 | 6 | 48 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
| Outputs |
|---|
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.9b | (/.f64 -4/3 (/.f64 y x)) | |
| ✓ | 0.9b | (/.f64 -4/3 (/.f64 y x)) |
Compiled 13 to 6 computations (53.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 -4/3 (/.f64 y x)) |
| 0.0ms | x | @ | -inf | (/.f64 -4/3 (/.f64 y x)) |
| 0.0ms | y | @ | inf | (/.f64 -4/3 (/.f64 y x)) |
| 0.0ms | x | @ | inf | (/.f64 -4/3 (/.f64 y x)) |
| 0.0ms | y | @ | -inf | (/.f64 -4/3 (/.f64 y x)) |
| 1× | batch-egg-rewrite |
| 699× | pow1_binary64 |
| 654× | add-log-exp_binary64 |
| 654× | log1p-expm1-u_binary64 |
| 654× | expm1-log1p-u_binary64 |
| 641× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 134 | 7 |
| 2 | 1772 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -4/3 (/.f64 y x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -4/3 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/3 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 -4/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -4/3 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -4/3 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -4/3 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 -4/3 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -4/3 (/.f64 x y))) 2) (cbrt.f64 (*.f64 -4/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -4/3 (/.f64 x y))) (sqrt.f64 (*.f64 -4/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/3 (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) -4/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4/3 (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4/3 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4/3 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4/3 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4/3 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -4/3 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -4/3 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -4/3 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) -3/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16/9 (pow.f64 (/.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4/3) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -4/3 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -4/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -4/3 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -4/3 (/.f64 x y)))))))) |
| 1× | egg-herbie |
| 3× | *-commutative_binary64 |
| 2× | associate-/l*_binary64 |
| 1× | associate-*r/_binary64 |
| 1× | associate-*l/_binary64 |
| 1× | associate-/r/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 168 |
| 1 | 9 | 168 |
| 2 | 13 | 168 |
| 3 | 17 | 168 |
| 4 | 18 | 168 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 -4/3 (/.f64 x y)) |
| Outputs |
|---|
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 (/.f64 -4/3 y) x) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 9.3b | (/.f64 (*.f64 x (*.f64 x 1/3)) y) | |
| 0.3b | (*.f64 x 1/3) | |
| 0.1b | (*.f64 x (*.f64 x 1/3)) | |
| ✓ | 0.1b | (*.f64 x (*.f64 x 1/3)) |
| ✓ | 0.3b | (*.f64 x 1/3) |
| ✓ | 9.3b | (/.f64 (*.f64 x (*.f64 x 1/3)) y) |
Compiled 20 to 12 computations (40% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 x 1/3) |
| 0.0ms | x | @ | 0 | (*.f64 x (*.f64 x 1/3)) |
| 0.0ms | x | @ | inf | (*.f64 x (*.f64 x 1/3)) |
| 0.0ms | x | @ | inf | (*.f64 x 1/3) |
| 0.0ms | x | @ | 0 | (*.f64 x 1/3) |
| 1× | batch-egg-rewrite |
| 809× | pow1_binary64 |
| 754× | add-log-exp_binary64 |
| 754× | log1p-expm1-u_binary64 |
| 754× | expm1-log1p-u_binary64 |
| 739× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 21 |
| 1 | 148 | 21 |
| 2 | 1987 | 21 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (*.f64 x 1/3)) y) |
(*.f64 x 1/3) |
(*.f64 x (*.f64 x 1/3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 x y) (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 3 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (*.f64 x 1/3) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/3) (*.f64 x (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/3)) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 x y) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 1/3 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 x y) (*.f64 x 1/3))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (*.f64 x 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (*.f64 x 1/3))) 2) (cbrt.f64 (*.f64 (/.f64 x y) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/3)) (*.f64 (*.f64 x (sqrt.f64 1/3)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) (sqrt.f64 y)) (/.f64 (*.f64 x (sqrt.f64 1/3)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) -1/3) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (*.f64 x (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (*.f64 x 1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) 1) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) 1) (/.f64 (*.f64 x (sqrt.f64 1/3)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x 1/3) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x (*.f64 x 1/3)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 1/3 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 (/.f64 x y) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x (sqrt.f64 1/3)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (*.f64 x 1/3) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 1/3) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x (*.f64 x 1/3)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (sqrt.f64 y)) (/.f64 1/3 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 x y) (*.f64 x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (sqrt.f64 1/3)) (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (*.f64 x 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x (*.f64 x 1/3)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 x y) (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 x y) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (*.f64 x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 x y) (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (*.f64 x 1/3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x 1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x 1/3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/3)))))))) |
| 1× | egg-herbie |
| 795× | sqr-pow_binary64 |
| 568× | associate-*l*_binary64 |
| 464× | *-commutative_binary64 |
| 416× | unswap-sqr_binary64 |
| 352× | cube-prod_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 372 |
| 1 | 19 | 372 |
| 2 | 34 | 372 |
| 3 | 67 | 372 |
| 4 | 192 | 372 |
| 5 | 690 | 372 |
| 6 | 2549 | 372 |
| 7 | 3982 | 372 |
| 8 | 4138 | 372 |
| 9 | 4348 | 372 |
| 10 | 4566 | 372 |
| 11 | 4888 | 372 |
| 12 | 5284 | 372 |
| 13 | 5880 | 372 |
| 14 | 6560 | 372 |
| 15 | 7322 | 372 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 x) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
(*.f64 1/3 (pow.f64 x 2)) |
(*.f64 1/3 (*.f64 x x)) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 5.0b | (*.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y)) | |
| 0.4b | (/.f64 1/3 y) | |
| 0.0b | (*.f64 x (+.f64 x -4)) | |
| ✓ | 0.0b | (*.f64 x (+.f64 x -4)) |
| 0.4b | (/.f64 1/3 y) | |
| ✓ | 5.0b | (*.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y)) |
Compiled 26 to 17 computations (34.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y)) |
| 1.0ms | x | @ | 0 | (*.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y)) |
| 1.0ms | y | @ | inf | (*.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y)) |
| 1.0ms | x | @ | inf | (*.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y)) |
| 0.0ms | x | @ | -inf | (*.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y)) |
| 1× | batch-egg-rewrite |
| 479× | log-prod_binary64 |
| 391× | prod-exp_binary64 |
| 358× | exp-prod_binary64 |
| 333× | pow-prod-down_binary64 |
| 259× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 205 | 20 |
| 2 | 2697 | 20 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x (+.f64 x -4)) (/.f64 1/3 y)) |
(*.f64 x (+.f64 x -4)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (/.f64 1/3 y)) (*.f64 (*.f64 x -4) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 y) (*.f64 x x)) (*.f64 (/.f64 1/3 y) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 (+.f64 x -4) 1/3) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 (+.f64 x -4) 1/3) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 (+.f64 x -4) 1/3) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 (+.f64 x -4) 1/3) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x -4)) (*.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 x (*.f64 (+.f64 x -4) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3)) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (*.f64 x (+.f64 x -4))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 x -4)) -1/3) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 x (*.f64 (+.f64 x -4) 1/3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 (+.f64 x -4) 1/3) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -4))) 1) (log.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x -4) 1/3))) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 (*.f64 (+.f64 x -4) 1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -4))) 1) (log.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x (+.f64 x -4))) (*.f64 (log.f64 (/.f64 1/3 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -4))) 1) (*.f64 (log.f64 (/.f64 1/3 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/3 y)) 1) (log.f64 (*.f64 x (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 1/3 y)) (*.f64 (log.f64 (*.f64 x (+.f64 x -4))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 1/3 y)) 1) (*.f64 (log.f64 (*.f64 x (+.f64 x -4))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (*.f64 (+.f64 x -4) 1/3) y)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 (*.f64 (+.f64 x -4) 1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 y) (*.f64 x x) (*.f64 (/.f64 1/3 y) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (/.f64 1/3 y) (*.f64 (*.f64 x -4) (/.f64 1/3 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (+.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1) (*.f64 (*.f64 x -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -4))) 2)) (*.f64 x (*.f64 (+.f64 x -4) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x -4) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (*.f64 x -4) 2) (*.f64 (*.f64 x x) (*.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x -4) 2)) (-.f64 (*.f64 x x) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -64 (pow.f64 x 3)) x) (-.f64 (fma.f64 x x 16) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -16) x) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -64 (pow.f64 x 3))) (-.f64 (fma.f64 x x 16) (*.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x x -16)) (+.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x -4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 (*.f64 x -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (+.f64 x -4)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (+.f64 x -4))))) (sqrt.f64 (log.f64 (*.f64 x (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (+.f64 x -4)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (*.f64 x -4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x -4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (+.f64 x -4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (+.f64 x -4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -4)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (+.f64 x -4)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -4)) 1) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -4 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 (*.f64 (*.f64 x -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) x) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) -4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) -4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (cbrt.f64 (*.f64 x x)) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -4)) 2) (cbrt.f64 (*.f64 x -4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -4)) (sqrt.f64 (*.f64 x -4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x x)))))) |
| 1× | egg-herbie |
| 541× | fma-def_binary64 |
| 491× | associate-/l*_binary64 |
| 419× | distribute-rgt-out_binary64 |
| 404× | associate-/r/_binary64 |
| 382× | fma-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 468 |
| 1 | 44 | 459 |
| 2 | 86 | 459 |
| 3 | 188 | 459 |
| 4 | 516 | 333 |
| 5 | 1867 | 333 |
| 6 | 5314 | 333 |
| 7 | 7255 | 333 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4/3 (/.f64 x y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(*.f64 -4 x) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
| Outputs |
|---|
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 x (/.f64 -4/3 y)) |
(/.f64 (*.f64 -4/3 x) y) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(*.f64 x (*.f64 (/.f64 x y) 1/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 1/3 (/.f64 (*.f64 (-.f64 x 4) x) y)) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)) |
(*.f64 -4 x) |
(*.f64 x -4) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(fma.f64 -4 x (*.f64 x x)) |
(*.f64 x (+.f64 x -4)) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(fma.f64 -4 x (*.f64 x x)) |
(*.f64 x (+.f64 x -4)) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(fma.f64 -4 x (*.f64 x x)) |
(*.f64 x (+.f64 x -4)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(fma.f64 -4 x (*.f64 x x)) |
(*.f64 x (+.f64 x -4)) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(fma.f64 -4 x (*.f64 x x)) |
(*.f64 x (+.f64 x -4)) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(fma.f64 -4 x (*.f64 x x)) |
(*.f64 x (+.f64 x -4)) |
(pow.f64 x 2) |
(*.f64 x x) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(fma.f64 -4 x (*.f64 x x)) |
(*.f64 x (+.f64 x -4)) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(fma.f64 -4 x (*.f64 x x)) |
(*.f64 x (+.f64 x -4)) |
(+.f64 (*.f64 -4 x) (pow.f64 x 2)) |
(fma.f64 -4 x (*.f64 x x)) |
(*.f64 x (+.f64 x -4)) |
Compiled 20495 to 13551 computations (33.9% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 724 | 12 | 736 |
| Fresh | 6 | 4 | 10 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 5 | 7 |
| Total | 733 | 21 | 754 |
| Status | Error | Program |
|---|---|---|
| 40.3b | (*.f64 (/.f64 x 1) (/.f64 (*.f64 x 1/3) y)) | |
| 40.4b | (*.f64 (/.f64 (-.f64 3 x) y) (*.f64 -1/3 x)) | |
| ▶ | 40.0b | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| ✓ | 45.4b | (/.f64 (*.f64 x (*.f64 x 1/3)) y) |
| 40.3b | (*.f64 x (*.f64 (/.f64 x y) 1/3)) | |
| ▶ | 22.5b | (/.f64 (/.f64 3 y) 3) |
| 61.2b | (*.f64 (/.f64 x y) -4/3) | |
| 61.2b | (/.f64 (*.f64 -4/3 x) y) | |
| ▶ | 45.3b | (/.f64 (*.f64 x x) (*.f64 y 3)) |
| ✓ | 22.3b | (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
| 40.3b | (*.f64 (/.f64 x y) (*.f64 x 1/3)) | |
| 61.2b | (*.f64 (/.f64 -4/3 y) x) | |
| 22.3b | (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) | |
| 40.3b | (/.f64 (*.f64 x (/.f64 x y)) 3) | |
| ✓ | 45.4b | (*.f64 (*.f64 x x) (/.f64 1/3 y)) |
| ▶ | 22.8b | (/.f64 3 (*.f64 y 3)) |
| ✓ | 22.6b | (*.f64 3 (/.f64 1/3 y)) |
| ✓ | 22.3b | (/.f64 1 y) |
| ▶ | 0.4b | (/.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x))) |
| 40.4b | (*.f64 (*.f64 x 1/3) (*.f64 x (/.f64 1 y))) | |
| 40.0b | (/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3) |
Compiled 337 to 246 computations (27% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x))) | |
| 0.3b | (*.f64 x 1/3) | |
| 0.0b | (-.f64 1/3 (*.f64 x 1/3)) | |
| 0.0b | (/.f64 y (-.f64 3 x)) | |
| 0.0b | (/.f64 y (-.f64 3 x)) | |
| ✓ | 0.0b | (-.f64 1/3 (*.f64 x 1/3)) |
| 0.3b | (*.f64 x 1/3) | |
| ✓ | 0.4b | (/.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x))) |
Compiled 33 to 23 computations (30.3% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (/.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x))) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x))) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x))) |
| 0.0ms | y | @ | -inf | (/.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x))) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x))) |
| 1× | batch-egg-rewrite |
| 658× | log-prod_binary64 |
| 373× | prod-diff_binary64 |
| 326× | pow2_binary64 |
| 226× | pow1/3_binary64 |
| 223× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 23 |
| 1 | 241 | 23 |
| 2 | 3603 | 19 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x))) |
(-.f64 1/3 (*.f64 x 1/3)) |
| Outputs |
|---|
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(*.f64 (*.f64 1/3 x) (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 y) (-.f64 3 x) (neg.f64 (*.f64 (*.f64 1/3 x) (/.f64 (-.f64 3 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 (neg.f64 y)) (neg.f64 (-.f64 3 x)) (neg.f64 (*.f64 (*.f64 1/3 x) (/.f64 (-.f64 3 x) y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 (*.f64 x -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/3 (*.f64 (*.f64 x -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -1/3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x -1/3 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/3 1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -1/3 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/3 1/3)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -1/3 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1/3 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x -1/3 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x -1/3 1/3)) (cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/3) 2)) (cbrt.f64 (fma.f64 x -1/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x -1/3 1/3)) (sqrt.f64 (fma.f64 x -1/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/27 (*.f64 1/27 (pow.f64 x 3))) (/.f64 1 (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/9 (*.f64 x (*.f64 1/9 x))) (/.f64 1 (fma.f64 1/3 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x 1/3) 1/9) (-.f64 1/27 (*.f64 1/27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/3 x 1/3) (-.f64 1/9 (*.f64 x (*.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/27 (*.f64 1/27 (pow.f64 x 3))) (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x 1/3) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (*.f64 x (*.f64 1/9 x))) (fma.f64 1/3 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/27 (*.f64 1/27 (pow.f64 x 3)))) (neg.f64 (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x 1/3) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/9 (*.f64 x (*.f64 1/9 x)))) (neg.f64 (fma.f64 1/3 x 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/27 (pow.f64 (*.f64 x -1/3) 3)) (+.f64 1/9 (-.f64 (pow.f64 (*.f64 x -1/3) 2) (*.f64 1/3 (*.f64 x -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/9 (pow.f64 (*.f64 x -1/3) 2)) (-.f64 1/3 (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -1/3 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/3 1/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -1/3 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x -1/3 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x -1/3 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 1/3 x) (fma.f64 1/3 x 1/3) 1/9) (-.f64 1/27 (*.f64 1/27 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/3 x 1/3) (-.f64 1/9 (*.f64 x (*.f64 1/9 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -1/3 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x -1/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/3 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x -1/3 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x -1/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x -1/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -1/3 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x -1/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (neg.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/3 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x -1/3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (neg.f64 (cbrt.f64 (*.f64 1/3 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 x)) (neg.f64 (sqrt.f64 (*.f64 1/3 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) 1/3 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/3)) 2) (cbrt.f64 (*.f64 x -1/3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/3)) (sqrt.f64 (*.f64 x -1/3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 1/3 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2)) (cbrt.f64 (*.f64 1/3 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 1/3 x))) (sqrt.f64 (*.f64 1/3 x)) 1/3))))) |
| 1× | egg-herbie |
| 760× | fma-def_binary64 |
| 625× | unsub-neg_binary64 |
| 485× | fma-neg_binary64 |
| 433× | cancel-sign-sub-inv_binary64 |
| 383× | distribute-rgt-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 473 |
| 1 | 54 | 429 |
| 2 | 111 | 417 |
| 3 | 272 | 417 |
| 4 | 987 | 397 |
| 5 | 4210 | 397 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
1/3 |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(*.f64 -1/3 x) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(*.f64 -1/3 x) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 -1/3 x)) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (/.f64 1 y)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (*.f64 (/.f64 x y) 1/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(*.f64 (/.f64 x y) (*.f64 x 1/3)) |
(*.f64 x (*.f64 (/.f64 x y) 1/3)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x)))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (*.f64 (/.f64 x y) x))) |
(fma.f64 -4/3 (/.f64 x y) (*.f64 (/.f64 x y) (*.f64 x 1/3))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (fma.f64 -4/3 (/.f64 x y) (*.f64 1/3 (/.f64 x (/.f64 y x))))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 (/.f64 x y) x) (/.f64 1 y))) |
(fma.f64 -4/3 (/.f64 x y) (fma.f64 1/3 (*.f64 x (/.f64 x y)) (/.f64 1 y))) |
(+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3)))) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y)) |
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1)) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y)) |
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1)) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y)) |
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1)) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y)) |
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1)) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y)) |
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1)) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y)) |
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1)) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y)) |
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1)) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y)) |
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1)) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y)) |
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1)) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y)) |
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1)) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y)) |
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1)) |
(/.f64 (*.f64 (-.f64 1/3 (*.f64 1/3 x)) (-.f64 3 x)) y) |
(/.f64 (+.f64 1/3 (*.f64 x -1/3)) (/.f64 y (-.f64 3 x))) |
(*.f64 (/.f64 (fma.f64 x -1/3 1/3) y) (-.f64 3 x)) |
(*.f64 (-.f64 3 x) (/.f64 (fma.f64 x -1/3 1/3) y)) |
(*.f64 (fma.f64 x -1/3 1/3) (/.f64 (-.f64 3 x) y)) |
(*.f64 (/.f64 (-.f64 1 x) y) (fma.f64 x -1/3 1)) |
1/3 |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(*.f64 -1/3 x) |
(*.f64 x -1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
(+.f64 1/3 (*.f64 -1/3 x)) |
(+.f64 1/3 (*.f64 x -1/3)) |
(fma.f64 x -1/3 1/3) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.6b | (/.f64 3 (*.f64 y 3)) | |
| ✓ | 0.6b | (/.f64 3 (*.f64 y 3)) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 3 (*.f64 y 3)) |
| 0.0ms | y | @ | -inf | (/.f64 3 (*.f64 y 3)) |
| 0.0ms | y | @ | inf | (/.f64 3 (*.f64 y 3)) |
| 1× | batch-egg-rewrite |
| 523× | pow1_binary64 |
| 510× | add-sqr-sqrt_binary64 |
| 488× | add-log-exp_binary64 |
| 488× | log1p-expm1-u_binary64 |
| 488× | expm1-log1p-u_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 109 | 4 |
| 2 | 1339 | 4 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 3 (*.f64 y 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 (cbrt.f64 (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (/.f64 1 (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 y))))))) |
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1 | 6 | 48 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
| Outputs |
|---|
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 (/.f64 3 y) 3) | |
| ✓ | 0.3b | (/.f64 (/.f64 3 y) 3) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 (/.f64 3 y) 3) |
| 0.0ms | y | @ | inf | (/.f64 (/.f64 3 y) 3) |
| 0.0ms | y | @ | -inf | (/.f64 (/.f64 3 y) 3) |
| 1× | batch-egg-rewrite |
| 541× | pow1_binary64 |
| 508× | add-log-exp_binary64 |
| 508× | log1p-expm1-u_binary64 |
| 508× | expm1-log1p-u_binary64 |
| 500× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 115 | 4 |
| 2 | 1484 | 4 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 3 y) 3) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 1 (*.f64 3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 (/.f64 1 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 y)) (pow.f64 (cbrt.f64 (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 3 y)) 2) (*.f64 (cbrt.f64 (/.f64 3 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 1 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 3 y)) (*.f64 (sqrt.f64 (/.f64 3 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -3 y) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 3 y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 1 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 y))))))) |
| 1× | egg-herbie |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1 | 6 | 48 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
| Outputs |
|---|
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
(/.f64 1 y) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 9.4b | (/.f64 (*.f64 x x) (*.f64 y 3)) | |
| ✓ | 9.4b | (/.f64 (*.f64 x x) (*.f64 y 3)) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 x x) (*.f64 y 3)) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 x x) (*.f64 y 3)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 x x) (*.f64 y 3)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 x x) (*.f64 y 3)) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 x x) (*.f64 y 3)) |
| 1× | batch-egg-rewrite |
| 833× | pow1_binary64 |
| 778× | add-log-exp_binary64 |
| 778× | log1p-expm1-u_binary64 |
| 778× | expm1-log1p-u_binary64 |
| 760× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 152 | 10 |
| 2 | 2095 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x x) (*.f64 y 3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (/.f64 1/3 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 3 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1/3 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1/3 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/3 y))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/3 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/3 y))) 2) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 y))) (*.f64 x (sqrt.f64 (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 3) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (*.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) y) (/.f64 (pow.f64 (cbrt.f64 x) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 3) (/.f64 (pow.f64 (cbrt.f64 x) 2) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 y 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)) (/.f64 (*.f64 x x) (cbrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (*.f64 y 3)) 2)) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 y 3))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (*.f64 y 3))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (*.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (/.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/3 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 1/3 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (/.f64 1/3 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 (/.f64 (*.f64 x x) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (*.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x 4) (*.f64 9 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 1/3 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (/.f64 1/3 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (/.f64 1/3 y)))))))) |
| 1× | egg-herbie |
| 705× | associate-/l/_binary64 |
| 636× | sqr-pow_binary64 |
| 589× | *-commutative_binary64 |
| 498× | associate-*l*_binary64 |
| 437× | associate-*l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 240 |
| 1 | 16 | 240 |
| 2 | 31 | 240 |
| 3 | 62 | 240 |
| 4 | 167 | 240 |
| 5 | 588 | 240 |
| 6 | 2447 | 240 |
| 7 | 3516 | 240 |
| 8 | 3724 | 240 |
| 9 | 3943 | 240 |
| 10 | 4171 | 240 |
| 11 | 4503 | 240 |
| 12 | 6038 | 240 |
| 13 | 6702 | 240 |
| 14 | 7490 | 240 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
| Outputs |
|---|
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 (/.f64 1/3 y) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 1/3 y)) |
(*.f64 1/3 (*.f64 x (/.f64 x y))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) | |
| 0.3b | (*.f64 x 1/3) | |
| 0.0b | (+.f64 -4/3 (*.f64 x 1/3)) | |
| ✓ | 0.0b | (+.f64 -4/3 (*.f64 x 1/3)) |
| 0.3b | (*.f64 x 1/3) | |
| ✓ | 0.3b | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
Compiled 26 to 16 computations (38.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| 1.0ms | y | @ | inf | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| 1× | batch-egg-rewrite |
| 511× | log-prod_binary64 |
| 371× | prod-diff_binary64 |
| 345× | pow-prod-down_binary64 |
| 267× | pow2_binary64 |
| 188× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 205 | 16 |
| 2 | 2877 | 16 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(+.f64 -4/3 (*.f64 x 1/3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x y) -4/3) (/.f64 (*.f64 x 1/3) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 x 1/3) (/.f64 y x)) (*.f64 (/.f64 x y) -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 x y) -4/3) 1) (*.f64 (/.f64 (*.f64 x 1/3) (/.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/3 -4/3)) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/3 -4/3)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/3 -4/3)) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/3 -4/3)) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (fma.f64 x 1/3 -4/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) 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| 1× | egg-herbie |
| 1020× | fma-def_binary64 |
| 418× | associate-*l/_binary64 |
| 343× | associate-/l*_binary64 |
| 334× | associate-*r/_binary64 |
| 310× | associate-/r/_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 438 |
| 1 | 37 | 438 |
| 2 | 70 | 438 |
| 3 | 136 | 312 |
| 4 | 368 | 312 |
| 5 | 1285 | 312 |
| 6 | 3670 | 312 |
| 7 | 7045 | 312 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -4/3 (/.f64 x y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
-4/3 |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(*.f64 1/3 x) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(*.f64 1/3 x) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
| Outputs |
|---|
(*.f64 -4/3 (/.f64 x y)) |
(*.f64 x (/.f64 -4/3 y)) |
(/.f64 (*.f64 -4/3 x) y) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(/.f64 (*.f64 1/3 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(*.f64 1/3 (/.f64 (pow.f64 x 2) y)) |
(*.f64 1/3 (/.f64 (*.f64 x x) y)) |
(*.f64 1/3 (/.f64 x (/.f64 y x))) |
(*.f64 1/3 (*.f64 (/.f64 x y) x)) |
(/.f64 (*.f64 1/3 (*.f64 x x)) y) |
(*.f64 x (*.f64 x (/.f64 1/3 y))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 2) y)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 1/3 x) 4/3) x) y) |
(fma.f64 1/3 (/.f64 (*.f64 x x) y) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (/.f64 x (/.f64 y x)) (*.f64 -4/3 (/.f64 x y))) |
(fma.f64 1/3 (*.f64 (/.f64 x y) x) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (fma.f64 x 1/3 -4/3) (/.f64 y x)) |
(*.f64 x (/.f64 (fma.f64 x 1/3 -4/3) y)) |
-4/3 |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(*.f64 1/3 x) |
(*.f64 x 1/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(*.f64 1/3 x) |
(*.f64 x 1/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
(-.f64 (*.f64 1/3 x) 4/3) |
(fma.f64 1/3 x -4/3) |
(fma.f64 x 1/3 -4/3) |
Compiled 14510 to 10534 computations (27.4% saved)
20 alts after pruning (11 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 568 | 5 | 573 |
| Fresh | 5 | 6 | 11 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 8 | 9 |
| Total | 574 | 20 | 594 |
| Status | Error | Program |
|---|---|---|
| ✓ | 40.0b | (*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| ✓ | 45.4b | (/.f64 (*.f64 x (*.f64 x 1/3)) y) |
| 40.3b | (*.f64 (/.f64 x (*.f64 y 3)) x) | |
| 40.3b | (*.f64 x (/.f64 1 (*.f64 3 (/.f64 y x)))) | |
| 40.3b | (*.f64 x (*.f64 (/.f64 x y) 1/3)) | |
| 61.2b | (/.f64 (*.f64 -4/3 x) y) | |
| ✓ | 45.3b | (/.f64 (*.f64 x x) (*.f64 y 3)) |
| ✓ | 22.3b | (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
| 61.2b | (*.f64 (/.f64 x y) -4/3) | |
| ✓ | 0.4b | (/.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x))) |
| 22.3b | (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) | |
| 40.3b | (/.f64 (*.f64 x (/.f64 x y)) 3) | |
| ✓ | 22.8b | (/.f64 3 (*.f64 y 3)) |
| 40.4b | (*.f64 (/.f64 (-.f64 3 x) y) (*.f64 -1/3 x)) | |
| ✓ | 22.6b | (*.f64 3 (/.f64 1/3 y)) |
| 40.3b | (*.f64 (/.f64 x y) (*.f64 1/3 x)) | |
| ✓ | 22.5b | (/.f64 (/.f64 3 y) 3) |
| ✓ | 22.3b | (/.f64 1 y) |
| 40.0b | (/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3) | |
| 61.2b | (*.f64 (/.f64 -4/3 y) x) |
Compiled 178 to 130 computations (27% saved)
| Inputs |
|---|
(/.f64 1 y) |
(*.f64 (/.f64 -4/3 y) x) |
(/.f64 (/.f64 3 y) 3) |
(*.f64 3 (/.f64 1/3 y)) |
(/.f64 3 (*.f64 y 3)) |
(*.f64 (/.f64 x y) -4/3) |
(/.f64 (*.f64 -4/3 x) y) |
(*.f64 (/.f64 x y) (*.f64 1/3 x)) |
(/.f64 (*.f64 x (/.f64 x y)) 3) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (*.f64 x x) (*.f64 y 3)) |
(*.f64 x (*.f64 (/.f64 x y) 1/3)) |
(*.f64 (/.f64 x (*.f64 y 3)) x) |
(/.f64 (*.f64 x (*.f64 x 1/3)) y) |
(/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 -1/3 x)) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 x (/.f64 1 (*.f64 3 (/.f64 y x)))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
(/.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x))) |
| Outputs |
|---|
(/.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x))) |
4 calls:
| 12.0ms | (*.f64 y 3) |
| 11.0ms | (*.f64 y 3) |
| 11.0ms | x |
| 10.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.4b | 1 | x |
| 0.4b | 1 | y |
| 0.4b | 1 | (*.f64 y 3) |
| 0.4b | 1 | (*.f64 y 3) |
Compiled 156 to 98 computations (37.2% saved)
| Inputs |
|---|
(/.f64 1 y) |
(*.f64 (/.f64 -4/3 y) x) |
(/.f64 (/.f64 3 y) 3) |
(*.f64 3 (/.f64 1/3 y)) |
(/.f64 3 (*.f64 y 3)) |
(*.f64 (/.f64 x y) -4/3) |
(/.f64 (*.f64 -4/3 x) y) |
(*.f64 (/.f64 x y) (*.f64 1/3 x)) |
(/.f64 (*.f64 x (/.f64 x y)) 3) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (*.f64 x x) (*.f64 y 3)) |
(*.f64 x (*.f64 (/.f64 x y) 1/3)) |
(*.f64 (/.f64 x (*.f64 y 3)) x) |
(/.f64 (*.f64 x (*.f64 x 1/3)) y) |
(/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 -1/3 x)) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(*.f64 x (/.f64 1 (*.f64 3 (/.f64 y x)))) |
(*.f64 (/.f64 x y) (+.f64 -4/3 (*.f64 x 1/3))) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3) |
(+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) |
(/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3) |
4 calls:
| 92.0ms | (*.f64 y 3) |
| 75.0ms | y |
| 53.0ms | (*.f64 y 3) |
| 43.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 3 | x |
| 18.4b | 6 | y |
| 18.4b | 6 | (*.f64 y 3) |
| 18.4b | 6 | (*.f64 y 3) |
Compiled 145 to 90 computations (37.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.2856259858056446e-15 | 2.4949792997782296 |
| 18.0ms | -11.078305554308654 | -0.053156074128837195 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(/.f64 1 y) |
(*.f64 (/.f64 -4/3 y) x) |
(/.f64 (/.f64 3 y) 3) |
(*.f64 3 (/.f64 1/3 y)) |
(/.f64 3 (*.f64 y 3)) |
(*.f64 (/.f64 x y) -4/3) |
(/.f64 (*.f64 -4/3 x) y) |
(*.f64 (/.f64 x y) (*.f64 1/3 x)) |
(/.f64 (*.f64 x (/.f64 x y)) 3) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (*.f64 x x) (*.f64 y 3)) |
(*.f64 x (*.f64 (/.f64 x y) 1/3)) |
(*.f64 (/.f64 x (*.f64 y 3)) x) |
(/.f64 (*.f64 x (*.f64 x 1/3)) y) |
(/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3) |
(*.f64 (/.f64 (-.f64 3 x) y) (*.f64 -1/3 x)) |
| Outputs |
|---|
(/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3) |
4 calls:
| 101.0ms | (*.f64 y 3) |
| 56.0ms | x |
| 53.0ms | y |
| 43.0ms | (*.f64 y 3) |
| Error | Segments | Branch |
|---|---|---|
| 1.1b | 3 | x |
| 18.4b | 6 | y |
| 18.4b | 6 | (*.f64 y 3) |
| 18.4b | 6 | (*.f64 y 3) |
Compiled 118 to 74 computations (37.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 1.2856259858056446e-15 | 2.4949792997782296 |
| 17.0ms | -11.078305554308654 | -0.053156074128837195 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(/.f64 1 y) |
(*.f64 (/.f64 -4/3 y) x) |
(/.f64 (/.f64 3 y) 3) |
(*.f64 3 (/.f64 1/3 y)) |
(/.f64 3 (*.f64 y 3)) |
(*.f64 (/.f64 x y) -4/3) |
(/.f64 (*.f64 -4/3 x) y) |
(*.f64 (/.f64 x y) (*.f64 1/3 x)) |
(/.f64 (*.f64 x (/.f64 x y)) 3) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (*.f64 x x) (*.f64 y 3)) |
(*.f64 x (*.f64 (/.f64 x y) 1/3)) |
(*.f64 (/.f64 x (*.f64 y 3)) x) |
(/.f64 (*.f64 x (*.f64 x 1/3)) y) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 y 3)) x) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(*.f64 (/.f64 x (*.f64 y 3)) x) |
4 calls:
| 29.0ms | (*.f64 y 3) |
| 27.0ms | y |
| 27.0ms | (*.f64 y 3) |
| 21.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.5b | 3 | x |
| 19.5b | 4 | y |
| 19.5b | 4 | (*.f64 y 3) |
| 19.5b | 4 | (*.f64 y 3) |
Compiled 100 to 63 computations (37% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 2.4949792997782296 | 915.4640250212389 |
| 20.0ms | -11.078305554308654 | -0.053156074128837195 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(/.f64 1 y) |
(*.f64 (/.f64 -4/3 y) x) |
(/.f64 (/.f64 3 y) 3) |
(*.f64 3 (/.f64 1/3 y)) |
(/.f64 3 (*.f64 y 3)) |
(*.f64 (/.f64 x y) -4/3) |
(/.f64 (*.f64 -4/3 x) y) |
(*.f64 (/.f64 x y) (*.f64 1/3 x)) |
(/.f64 (*.f64 x (/.f64 x y)) 3) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (*.f64 x x) (*.f64 y 3)) |
(*.f64 x (*.f64 (/.f64 x y) 1/3)) |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 x y)) 3) |
(/.f64 (+.f64 1 (*.f64 -4/3 x)) y) |
(/.f64 (*.f64 x (/.f64 x y)) 3) |
4 calls:
| 29.0ms | y |
| 28.0ms | (*.f64 y 3) |
| 25.0ms | (*.f64 y 3) |
| 20.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 1.6b | 3 | x |
| 19.5b | 4 | y |
| 19.5b | 4 | (*.f64 y 3) |
| 19.5b | 4 | (*.f64 y 3) |
Compiled 86 to 55 computations (36% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 2.4949792997782296 | 915.4640250212389 |
| 19.0ms | -11.078305554308654 | -0.053156074128837195 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(/.f64 1 y) |
(*.f64 (/.f64 -4/3 y) x) |
(/.f64 (/.f64 3 y) 3) |
(*.f64 3 (/.f64 1/3 y)) |
(/.f64 3 (*.f64 y 3)) |
(*.f64 (/.f64 x y) -4/3) |
(/.f64 (*.f64 -4/3 x) y) |
(*.f64 (/.f64 x y) (*.f64 1/3 x)) |
(/.f64 (*.f64 x (/.f64 x y)) 3) |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 x y)) 3) |
(/.f64 1 y) |
(/.f64 (*.f64 x (/.f64 x y)) 3) |
3 calls:
| 16.0ms | y |
| 16.0ms | x |
| 16.0ms | (*.f64 y 3) |
| Error | Segments | Branch |
|---|---|---|
| 1.9b | 3 | x |
| 20.5b | 2 | y |
| 20.5b | 2 | (*.f64 y 3) |
Compiled 60 to 39 computations (35% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 2.4949792997782296 | 915.4640250212389 |
| 17.0ms | -11.078305554308654 | -0.053156074128837195 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
(/.f64 1 y) |
(*.f64 (/.f64 -4/3 y) x) |
(/.f64 (/.f64 3 y) 3) |
(*.f64 3 (/.f64 1/3 y)) |
(/.f64 3 (*.f64 y 3)) |
(*.f64 (/.f64 x y) -4/3) |
(/.f64 (*.f64 -4/3 x) y) |
(*.f64 (/.f64 x y) (*.f64 1/3 x)) |
| Outputs |
|---|
(*.f64 (/.f64 x y) (*.f64 1/3 x)) |
(/.f64 1 y) |
(*.f64 (/.f64 x y) (*.f64 1/3 x)) |
3 calls:
| 18.0ms | x |
| 14.0ms | (*.f64 y 3) |
| 14.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 1.9b | 3 | x |
| 20.5b | 2 | y |
| 20.5b | 2 | (*.f64 y 3) |
Compiled 53 to 36 computations (32.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 2.4949792997782296 | 915.4640250212389 |
| 17.0ms | -11.078305554308654 | -0.053156074128837195 |
Compiled 18 to 14 computations (22.2% saved)
Total -39.0b remaining (-174.8%)
Threshold costs -39.0b (-174.8%)
| Inputs |
|---|
(/.f64 1 y) |
(*.f64 (/.f64 -4/3 y) x) |
(/.f64 (/.f64 3 y) 3) |
(*.f64 3 (/.f64 1/3 y)) |
(/.f64 3 (*.f64 y 3)) |
(*.f64 (/.f64 x y) -4/3) |
(/.f64 (*.f64 -4/3 x) y) |
| Outputs |
|---|
(/.f64 1 y) |
3 calls:
| 5.0ms | y |
| 5.0ms | (*.f64 y 3) |
| 5.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.3b | 1 | x |
| 22.3b | 1 | y |
| 22.3b | 1 | (*.f64 y 3) |
Compiled 46 to 33 computations (28.3% saved)
| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 7× | +-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | distribute-rgt-neg-in_binary64 |
| 2× | cancel-sign-sub-inv_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 275 |
| 1 | 68 | 275 |
| 2 | 81 | 275 |
| 3 | 85 | 275 |
| 4 | 87 | 275 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x))) |
(if (<=.f64 x -6236531595785119/562949953421312) (/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3) (if (<=.f64 x 3259449105151069/2535301200456458802993406410752) (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) (/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3))) |
(if (<=.f64 x -6236531595785119/562949953421312) (/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3) (if (<=.f64 x 3259449105151069/2535301200456458802993406410752) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3))) |
(if (<=.f64 x -6236531595785119/562949953421312) (*.f64 (/.f64 x (*.f64 y 3)) x) (if (<=.f64 x 351137120149323/140737488355328) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x (*.f64 y 3)) x))) |
(if (<=.f64 x -6236531595785119/562949953421312) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 351137120149323/140737488355328) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (/.f64 (*.f64 x (/.f64 x y)) 3))) |
(if (<=.f64 x -6236531595785119/562949953421312) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 351137120149323/140737488355328) (/.f64 1 y) (/.f64 (*.f64 x (/.f64 x y)) 3))) |
(if (<=.f64 x -6236531595785119/562949953421312) (*.f64 (/.f64 x y) (*.f64 1/3 x)) (if (<=.f64 x 351137120149323/140737488355328) (/.f64 1 y) (*.f64 (/.f64 x y) (*.f64 1/3 x)))) |
(/.f64 1 y) |
| Outputs |
|---|
(/.f64 (-.f64 1/3 (*.f64 x 1/3)) (/.f64 y (-.f64 3 x))) |
(/.f64 (-.f64 1/3 (*.f64 1/3 x)) (/.f64 y (-.f64 3 x))) |
(if (<=.f64 x -6236531595785119/562949953421312) (/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3) (if (<=.f64 x 3259449105151069/2535301200456458802993406410752) (+.f64 (/.f64 1 y) (*.f64 -4/3 (/.f64 x y))) (/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3))) |
(if (<=.f64 x -6236531595785119/562949953421312) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 3259449105151069/2535301200456458802993406410752) (+.f64 (/.f64 1 y) (*.f64 (/.f64 x y) -4/3)) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3))) |
(if (<=.f64 x -6236531595785119/562949953421312) (/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3) (if (<=.f64 x 3259449105151069/2535301200456458802993406410752) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (/.f64 (*.f64 (/.f64 x y) (+.f64 -4 x)) 3))) |
(if (<=.f64 x -6236531595785119/562949953421312) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3) (if (<=.f64 x 3259449105151069/2535301200456458802993406410752) (/.f64 (+.f64 1 (*.f64 x -4/3)) y) (/.f64 (*.f64 (/.f64 x y) (+.f64 x -4)) 3))) |
(if (<=.f64 x -6236531595785119/562949953421312) (*.f64 (/.f64 x (*.f64 y 3)) x) (if (<=.f64 x 351137120149323/140737488355328) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (*.f64 (/.f64 x (*.f64 y 3)) x))) |
(if (<=.f64 x -6236531595785119/562949953421312) (*.f64 x (/.f64 x (*.f64 y 3))) (if (<=.f64 x 351137120149323/140737488355328) (/.f64 (+.f64 1 (*.f64 x -4/3)) y) (*.f64 x (/.f64 x (*.f64 y 3))))) |
(if (<=.f64 x -6236531595785119/562949953421312) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 351137120149323/140737488355328) (/.f64 (+.f64 1 (*.f64 -4/3 x)) y) (/.f64 (*.f64 x (/.f64 x y)) 3))) |
(if (<=.f64 x -6236531595785119/562949953421312) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 351137120149323/140737488355328) (/.f64 (+.f64 1 (*.f64 x -4/3)) y) (/.f64 (*.f64 x (/.f64 x y)) 3))) |
(if (<=.f64 x -6236531595785119/562949953421312) (/.f64 (*.f64 x (/.f64 x y)) 3) (if (<=.f64 x 351137120149323/140737488355328) (/.f64 1 y) (/.f64 (*.f64 x (/.f64 x y)) 3))) |
(if (<=.f64 x -6236531595785119/562949953421312) (*.f64 (/.f64 x y) (*.f64 1/3 x)) (if (<=.f64 x 351137120149323/140737488355328) (/.f64 1 y) (*.f64 (/.f64 x y) (*.f64 1/3 x)))) |
(if (<=.f64 x -6236531595785119/562949953421312) (*.f64 (*.f64 1/3 x) (/.f64 x y)) (if (<=.f64 x 351137120149323/140737488355328) (/.f64 1 y) (*.f64 (*.f64 1/3 x) (/.f64 x y)))) |
(/.f64 1 y) |
| 1× | fuel |
Compiled 398 to 251 computations (36.9% saved)
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