Time bar (total: 6.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 50% | 50% | 2 |
| 0% | 50% | 50% | 3 |
| 0% | 50% | 50% | 4 |
| 12.5% | 37.5% | 50% | 5 |
| 18.7% | 31.2% | 50% | 6 |
| 28.1% | 21.9% | 50% | 7 |
| 32.8% | 17.2% | 50% | 8 |
| 37.5% | 11.7% | 50.8% | 9 |
| 39.8% | 9% | 51.2% | 10 |
| 42.1% | 6% | 51.8% | 11 |
| 43.3% | 4.6% | 52.1% | 12 |
Compiled 17 to 14 computations (17.6% saved)
| 1.0s | 8256× | body | 256 | valid |
| 20.0ms | 165× | body | 256 | invalid |
| 2× | egg-herbie |
| 1532× | fma-neg_binary64 |
| 1070× | fma-def_binary64 |
| 480× | cancel-sign-sub-inv_binary64 |
| 470× | div-sub_binary64 |
| 364× | distribute-rgt-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 42 |
| 1 | 46 | 36 |
| 2 | 100 | 36 |
| 3 | 209 | 36 |
| 4 | 445 | 32 |
| 5 | 834 | 32 |
| 6 | 1729 | 32 |
| 7 | 3228 | 32 |
| 8 | 4595 | 32 |
| 9 | 4872 | 32 |
| 10 | 5234 | 32 |
| 11 | 5824 | 32 |
| 12 | 6088 | 32 |
| 13 | 7116 | 32 |
| 14 | 7328 | 32 |
| 15 | 7640 | 32 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
(-.f64 (-.f64 1 (/.f64 1 (*.f64 y 9))) (/.f64 x (*.f64 3 (sqrt.f64 y)))) |
| Outputs |
|---|
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 y (*.f64 3 (sqrt.f64 x))))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x))))) |
(-.f64 1 (-.f64 (/.f64 1/9 x) (*.f64 -1/3 (/.f64 y (sqrt.f64 x))))) |
(+.f64 (/.f64 -1/9 x) (fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) 1)) |
(+.f64 (/.f64 -1/9 x) (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 1)) |
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) |
(-.f64 (-.f64 1 (/.f64 1 (*.f64 y 9))) (/.f64 x (*.f64 3 (sqrt.f64 y)))) |
(-.f64 1 (+.f64 (/.f64 1 (*.f64 9 y)) (/.f64 x (*.f64 3 (sqrt.f64 y))))) |
(-.f64 1 (+.f64 (/.f64 1/9 y) (/.f64 x (*.f64 3 (sqrt.f64 y))))) |
(-.f64 (-.f64 1 (/.f64 1/9 y)) (/.f64 x (*.f64 3 (sqrt.f64 y)))) |
(+.f64 1 (+.f64 (/.f64 -1/9 y) (*.f64 -1/3 (/.f64 x (sqrt.f64 y))))) |
(fma.f64 -1/3 (/.f64 x (sqrt.f64 y)) (-.f64 1 (/.f64 1/9 y))) |
(-.f64 1 (fma.f64 1/3 (/.f64 x (sqrt.f64 y)) (/.f64 1/9 y))) |
(fma.f64 (/.f64 x (sqrt.f64 y)) -1/3 (-.f64 1 (/.f64 1/9 y))) |
Compiled 18 to 15 computations (16.7% saved)
| 1× | egg-herbie |
| 474× | fma-neg_binary64 |
| 309× | fma-def_binary64 |
| 228× | cancel-sign-sub-inv_binary64 |
| 83× | associate-/l*_binary64 |
| 72× | distribute-rgt-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 21 |
| 1 | 27 | 18 |
| 2 | 56 | 18 |
| 3 | 114 | 18 |
| 4 | 234 | 16 |
| 5 | 440 | 16 |
| 6 | 866 | 16 |
| 7 | 1567 | 16 |
| 8 | 2339 | 16 |
| 9 | 2371 | 16 |
| 10 | 2394 | 16 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| Outputs |
|---|
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
(-.f64 1 (+.f64 (/.f64 1 (*.f64 x 9)) (/.f64 (/.f64 y 3) (sqrt.f64 x)))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
(+.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x))))) |
(+.f64 (/.f64 -1/9 x) (-.f64 1 (/.f64 y (*.f64 3 (sqrt.f64 x))))) |
(fma.f64 -1/3 (/.f64 y (sqrt.f64 x)) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (/.f64 y (sqrt.f64 x)) -1/3 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) |
Compiled 27 to 20 computations (25.9% 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 |
|---|---|---|
| ▶ | 0.2b | (+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) |
| ▶ | 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
Compiled 29 to 23 computations (20.7% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 1 (*.f64 x 9)) | |
| 0.3b | (*.f64 3 (sqrt.f64 x)) | |
| 0.2b | (/.f64 y (*.f64 3 (sqrt.f64 x))) | |
| 0.0b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| ✓ | 0.0b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| ✓ | 0.2b | (/.f64 y (*.f64 3 (sqrt.f64 x))) |
| ✓ | 0.3b | (*.f64 3 (sqrt.f64 x)) |
| ✓ | 0.3b | (/.f64 1 (*.f64 x 9)) |
Compiled 48 to 33 computations (31.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | inf | (/.f64 y (*.f64 3 (sqrt.f64 x))) |
| 1.0ms | y | @ | inf | (/.f64 y (*.f64 3 (sqrt.f64 x))) |
| 1.0ms | y | @ | 0 | (/.f64 y (*.f64 3 (sqrt.f64 x))) |
| 1.0ms | x | @ | -inf | (/.f64 y (*.f64 3 (sqrt.f64 x))) |
| 1.0ms | x | @ | 0 | (*.f64 3 (sqrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 661× | log-prod_binary64 |
| 435× | fma-def_binary64 |
| 355× | pow2_binary64 |
| 244× | log-div_binary64 |
| 241× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 43 |
| 1 | 290 | 37 |
| 2 | 4125 | 35 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 x 9)) |
(*.f64 3 (sqrt.f64 x)) |
(/.f64 y (*.f64 3 (sqrt.f64 x))) |
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 2) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 9)) 2)) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 x -9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 9) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9) -3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1/9 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1/9 x))) 2) (cbrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) (sqrt.f64 (+.f64 1 (/.f64 1/9 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 9)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/9 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 2)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x 9))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (sqrt.f64 x)))))))) |
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fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (fma.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 x))) y (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y 1/3) 2) x)) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (+.f64 (*.f64 y (neg.f64 (/.f64 1/3 (sqrt.f64 x)))) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 y 1/3) 2) x))) (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x))))))))) |
| 1× | egg-herbie |
| 354× | fma-neg_binary64 |
| 292× | fma-def_binary64 |
| 121× | cancel-sign-sub-inv_binary64 |
| 47× | distribute-rgt-in_binary64 |
| 44× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 418 |
| 1 | 40 | 400 |
| 2 | 78 | 400 |
| 3 | 128 | 400 |
| 4 | 178 | 400 |
| 5 | 252 | 400 |
| 6 | 408 | 400 |
| 7 | 691 | 400 |
| 8 | 1049 | 400 |
| 9 | 1300 | 400 |
| 10 | 1465 | 400 |
| 11 | 1477 | 400 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 1 (/.f64 1/9 x)) |
(+.f64 1 (/.f64 -1/9 x)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x))) |
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x))) |
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x))) |
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x))) |
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x))) |
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x))) |
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x))) |
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x))) |
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y -1/3) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (-.f64 1 (/.f64 1/9 x))) |
(-.f64 (/.f64 -1/9 x) (fma.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1)) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 -1/3 (sqrt.f64 x)) | |
| 0.4b | (/.f64 -1/9 x) | |
| 0.2b | (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) | |
| ✓ | 0.2b | (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) |
| ✓ | 0.4b | (/.f64 -1/9 x) |
| ✓ | 0.4b | (/.f64 -1/3 (sqrt.f64 x)) |
Compiled 36 to 22 computations (38.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) |
| 1.0ms | x | @ | -inf | (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) |
| 1.0ms | x | @ | -inf | (/.f64 -1/3 (sqrt.f64 x)) |
| 1.0ms | x | @ | inf | (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) |
| 1.0ms | x | @ | 0 | (/.f64 -1/3 (sqrt.f64 x)) |
| 1× | batch-egg-rewrite |
| 893× | pow1_binary64 |
| 833× | add-log-exp_binary64 |
| 833× | log1p-expm1-u_binary64 |
| 833× | expm1-log1p-u_binary64 |
| 815× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 194 | 23 |
| 2 | 2289 | 23 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1/3 (sqrt.f64 x)) |
(/.f64 -1/9 x) |
(fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1/3 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/3 (sqrt.f64 x))) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (cbrt.f64 (/.f64 -1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/3 (sqrt.f64 x))) (sqrt.f64 (/.f64 -1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 (neg.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/3 (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/3 (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/3 (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 x) -3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/3 (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/3 (sqrt.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/9 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/9 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1/9 x)) (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 2) (cbrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1/9 x)) (sqrt.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/9 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/9 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1/9 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/9 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/9 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1/9 x) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 1) (/.f64 -1/9 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) 2) (cbrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) (sqrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) 3) (pow.f64 (/.f64 -1/9 x) 3)) (+.f64 (*.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) (-.f64 (pow.f64 (/.f64 -1/9 x) 2) (*.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) (/.f64 -1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y)) (pow.f64 (/.f64 -1/9 x) 2)) (-.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y) (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x)))))))) |
| 1× | egg-herbie |
| 269× | fma-def_binary64 |
| 143× | fma-neg_binary64 |
| 49× | distribute-rgt-neg-in_binary64 |
| 48× | cancel-sign-sub-inv_binary64 |
| 27× | distribute-lft-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 194 |
| 1 | 29 | 176 |
| 2 | 52 | 176 |
| 3 | 75 | 176 |
| 4 | 116 | 176 |
| 5 | 193 | 176 |
| 6 | 315 | 176 |
| 7 | 494 | 176 |
| 8 | 652 | 176 |
| 9 | 826 | 176 |
| 10 | 890 | 176 |
| 11 | 894 | 176 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -1/9 x) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(/.f64 -1/9 x) |
| Outputs |
|---|
(/.f64 -1/9 x) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)) |
(fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)) |
(fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)) |
(fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)) |
(fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)) |
(fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)) |
(fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)) |
(fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)) |
(fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)) |
(-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x)) |
(fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x)) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x)) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x)) |
(/.f64 -1/9 x) |
Compiled 6072 to 4323 computations (28.8% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 270 | 17 | 287 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 0 | 1 |
| Total | 271 | 18 | 289 |
| Status | Error | Program |
|---|---|---|
| 42.7b | (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) | |
| 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (pow.f64 (*.f64 3 (/.f64 (sqrt.f64 x) y)) -1)) | |
| ✓ | 0.2b | (+.f64 1 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) |
| 0.5b | (-.f64 (-.f64 1 (pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| ▶ | 18.1b | (+.f64 1 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y))) |
| 20.2b | (/.f64 (fma.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -3)) (sqrt.f64 x) (neg.f64 (*.f64 (fma.f64 (/.f64 1/9 x) (+.f64 1 (/.f64 1/9 x)) 1) (*.f64 y 1/3)))) (*.f64 (fma.f64 (/.f64 1/9 x) (+.f64 1 (/.f64 1/9 x)) 1) (sqrt.f64 x))) | |
| 21.6b | (-.f64 1 (*.f64 1/9 (/.f64 1 x))) | |
| 0.2b | (+.f64 1 (+.f64 (/.f64 -1/9 x) (*.f64 (/.f64 -1/3 (sqrt.f64 x)) y))) | |
| ▶ | 46.3b | (/.f64 -1/9 x) |
| 21.6b | (+.f64 1 (/.f64 -1/9 x)) | |
| 0.2b | (-.f64 (-.f64 1 (*.f64 (/.f64 1 x) 1/9)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| ▶ | 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) |
| ▶ | 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.2b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| 0.4b | (-.f64 (-.f64 1 (pow.f64 (/.f64 1/3 (sqrt.f64 x)) 2)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| ▶ | 14.7b | (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x))) |
| 38.5b | 1 | |
| 47.4b | (+.f64 1 (pow.f64 (sqrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (/.f64 -1/9 x))) 2)) |
Compiled 538 to 433 computations (19.5% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 1 (*.f64 x 9)) | |
| 0.2b | (/.f64 y (sqrt.f64 (*.f64 x 9))) | |
| 0.1b | (sqrt.f64 (*.f64 x 9)) | |
| 0.0b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) | |
| ✓ | 0.0b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| ✓ | 0.1b | (sqrt.f64 (*.f64 x 9)) |
| ✓ | 0.2b | (/.f64 y (sqrt.f64 (*.f64 x 9))) |
| 0.3b | (/.f64 1 (*.f64 x 9)) |
Compiled 45 to 34 computations (24.4% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 y (sqrt.f64 (*.f64 x 9))) |
| 1.0ms | x | @ | -inf | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (*.f64 x 9)) |
| 0.0ms | x | @ | inf | (/.f64 y (sqrt.f64 (*.f64 x 9))) |
| 0.0ms | y | @ | 0 | (/.f64 y (sqrt.f64 (*.f64 x 9))) |
| 1× | batch-egg-rewrite |
| 593× | log-prod_binary64 |
| 398× | fma-def_binary64 |
| 317× | pow2_binary64 |
| 216× | pow1/3_binary64 |
| 215× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 1 | 251 | 33 |
| 2 | 3607 | 31 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (sqrt.f64 (*.f64 x 9))) |
(sqrt.f64 (*.f64 x 9)) |
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| Outputs |
|---|
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3)) 1 (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (*.f64 (*.f64 y y) (/.f64 1/9 x))) (/.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (-.f64 1 (/.f64 1/9 x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)))) (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))) (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 1/9 x)) 2) (*.f64 (*.f64 y y) (/.f64 1/9 x))) (/.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (-.f64 1 (/.f64 1/9 x)))) (+.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) 3)) (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) 3))) 2) (cbrt.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) 3))) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) 3))) (sqrt.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) 3))) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)))) (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)))) (-.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/9 x))) y (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)))) (-.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)))) (fma.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) 3)) 1 (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)))) (-.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)))) (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))) (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)))) (-.f64 (sqrt.f64 (-.f64 1 (/.f64 1/9 x))) (sqrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3)))) (+.f64 (/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) 3)) (/.f64 y (*.f64 (sqrt.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)))) (cbrt.f64 (/.f64 y (*.f64 (sqrt.f64 x) 3))) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))))))))) |
| 1× | egg-herbie |
| 354× | fma-neg_binary64 |
| 290× | fma-def_binary64 |
| 123× | cancel-sign-sub-inv_binary64 |
| 47× | distribute-rgt-in_binary64 |
| 46× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 370 |
| 1 | 40 | 352 |
| 2 | 78 | 352 |
| 3 | 128 | 352 |
| 4 | 178 | 352 |
| 5 | 251 | 352 |
| 6 | 408 | 352 |
| 7 | 687 | 352 |
| 8 | 1049 | 352 |
| 9 | 1300 | 352 |
| 10 | 1465 | 352 |
| 11 | 1477 | 352 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 1 (/.f64 1/9 x)) |
(+.f64 1 (/.f64 -1/9 x)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 -1/9 x) | |
| 0.4b | (/.f64 -1/9 x) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 -1/3 y) | |
| 0.3b | (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) | |
| 0.1b | (sqrt.f64 (/.f64 1 x)) | |
| ✓ | 0.1b | (sqrt.f64 (/.f64 1 x)) |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
| ✓ | 0.3b | (*.f64 -1/3 y) |
Compiled 34 to 25 computations (26.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt.f64 (/.f64 1 x)) |
| 1.0ms | x | @ | -inf | (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
| 1.0ms | y | @ | inf | (*.f64 -1/3 y) |
| 1.0ms | y | @ | 0 | (*.f64 -1/3 y) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 777× | pow1_binary64 |
| 719× | add-log-exp_binary64 |
| 719× | log1p-expm1-u_binary64 |
| 719× | expm1-log1p-u_binary64 |
| 703× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 22 |
| 1 | 181 | 17 |
| 2 | 2050 | 17 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/3 y) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(sqrt.f64 (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 y) 1)))) (#(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 sqrt.f64 (pow.f64 (*.f64 -1/3 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 expm1.f64 (log1p.f64 (*.f64 -1/3 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 -1/3 (sqrt.f64 x))) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/3 y) 3) (/.f64 (pow.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) (pow.f64 (*.f64 -1/3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x -1/2) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2))))))) |
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 144 |
| 1 | 15 | 144 |
| 2 | 22 | 144 |
| 3 | 24 | 144 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
| Outputs |
|---|
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) | |
| 0.3b | (/.f64 1 (*.f64 x 9)) | |
| 0.1b | (sqrt.f64 (/.f64 1 x)) | |
| 0.0b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) | |
| 0.1b | (sqrt.f64 (/.f64 1 x)) | |
| 0.3b | (/.f64 1 (*.f64 x 9)) | |
| ✓ | 0.3b | (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
| ✓ | 0.3b | (*.f64 1/3 y) |
Compiled 56 to 43 computations (23.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
| 1.0ms | y | @ | 0 | (*.f64 1/3 y) |
| 0.0ms | x | @ | inf | (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
| 0.0ms | x | @ | 0 | (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
| 0.0ms | y | @ | 0 | (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 779× | pow1_binary64 |
| 720× | add-log-exp_binary64 |
| 720× | log1p-expm1-u_binary64 |
| 720× | expm1-log1p-u_binary64 |
| 703× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 181 | 13 |
| 2 | 2054 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 y) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 y) 1)))) (#(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 sqrt.f64 (pow.f64 (*.f64 1/3 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 expm1.f64 (log1p.f64 (*.f64 1/3 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) (/.f64 y (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/3 y) 3) (/.f64 (pow.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) (pow.f64 (*.f64 1/3 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 1/3 y) (sqrt.f64 x)))))))) |
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 144 |
| 1 | 15 | 144 |
| 2 | 22 | 144 |
| 3 | 24 | 144 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 1/3 y)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (pow.f64 (*.f64 x 9) -2) | |
| 0.2b | (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3))) | |
| 0.2b | (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x)) | |
| 0.1b | (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3)) | |
| ✓ | 0.3b | (*.f64 y 1/3) |
| ✓ | 0.4b | (/.f64 1/9 x) |
| ✓ | 4.7b | (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (sqrt.f64 x)) |
| ✓ | 10.0b | (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x))) |
Compiled 113 to 83 computations (26.5% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x))) |
| 4.0ms | x | @ | 0 | (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x))) |
| 3.0ms | x | @ | inf | (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x))) |
| 2.0ms | y | @ | 0 | (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x))) |
| 1.0ms | y | @ | inf | (/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x))) |
| 1× | batch-egg-rewrite |
| 384× | fma-neg_binary64 |
| 381× | expm1-udef_binary64 |
| 380× | log1p-udef_binary64 |
| 226× | add-sqr-sqrt_binary64 |
| 217× | pow1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 67 |
| 1 | 463 | 65 |
| 2 | 6450 | 65 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (sqrt.f64 x)) (*.f64 (+.f64 1 (/.f64 1/9 x)) (*.f64 y 1/3))) (*.f64 (+.f64 1 (/.f64 1/9 x)) (sqrt.f64 x))) |
(*.f64 (-.f64 1 (pow.f64 (*.f64 x 9) -2)) (sqrt.f64 x)) |
(/.f64 1/9 x) |
(*.f64 y 1/3) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y 1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y 1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 1/3))))))) |
| 1× | egg-herbie |
| 876× | times-frac_binary64 |
| 473× | associate-/r*_binary64 |
| 456× | fma-neg_binary64 |
| 392× | distribute-neg-frac_binary64 |
| 327× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 469 |
| 1 | 69 | 388 |
| 2 | 153 | 370 |
| 3 | 368 | 370 |
| 4 | 1171 | 370 |
| 5 | 5922 | 370 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 (*.f64 1/81 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/81 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/81 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/81 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/81 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/81 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/81 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2))))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/81 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/81 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/81 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2))))) |
(*.f64 1/3 y) |
(*.f64 1/3 y) |
(*.f64 1/3 y) |
(*.f64 1/3 y) |
(*.f64 1/3 y) |
(*.f64 1/3 y) |
(*.f64 1/3 y) |
(*.f64 1/3 y) |
(*.f64 1/3 y) |
(*.f64 1/3 y) |
(*.f64 1/3 y) |
(*.f64 1/3 y) |
| Outputs |
|---|
(/.f64 (-.f64 1 (*.f64 1/81 (/.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) |
(/.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x))) |
(/.f64 (+.f64 1 (/.f64 -1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x))) |
(/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/81 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/81 (*.f64 (*.f64 x x) (+.f64 1 (/.f64 1/9 x)))))) |
(+.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (+.f64 1 (/.f64 -1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/81 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/81 (*.f64 (*.f64 x x) (+.f64 1 (/.f64 1/9 x)))))) |
(+.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (+.f64 1 (/.f64 -1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/81 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2)))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/81 (*.f64 (*.f64 x x) (+.f64 1 (/.f64 1/9 x)))))) |
(+.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (+.f64 1 (/.f64 -1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/81 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/81 (*.f64 (*.f64 x x) (+.f64 1 (/.f64 1/9 x)))))) |
(+.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (+.f64 1 (/.f64 -1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/81 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/81 (*.f64 (*.f64 x x) (+.f64 1 (/.f64 1/9 x)))))) |
(+.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (+.f64 1 (/.f64 -1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/81 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/81 (*.f64 (*.f64 x x) (+.f64 1 (/.f64 1/9 x)))))) |
(+.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (+.f64 1 (/.f64 -1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/81 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/81 (*.f64 (*.f64 x x) (+.f64 1 (/.f64 1/9 x)))))) |
(+.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (+.f64 1 (/.f64 -1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/81 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/81 (*.f64 (*.f64 x x) (+.f64 1 (/.f64 1/9 x)))))) |
(+.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (+.f64 1 (/.f64 -1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/81 (/.f64 1 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2))))) |
(+.f64 (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/81 (*.f64 (*.f64 x x) (+.f64 1 (/.f64 1/9 x)))))) |
(+.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 (-.f64 1 (/.f64 1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (+.f64 1 (/.f64 -1/81 (*.f64 x x))) (+.f64 1 (/.f64 1/9 x)))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x)))) |
(*.f64 1/3 y) |
(*.f64 y 1/3) |
(*.f64 1/3 y) |
(*.f64 y 1/3) |
(*.f64 1/3 y) |
(*.f64 y 1/3) |
(*.f64 1/3 y) |
(*.f64 y 1/3) |
(*.f64 1/3 y) |
(*.f64 y 1/3) |
(*.f64 1/3 y) |
(*.f64 y 1/3) |
(*.f64 1/3 y) |
(*.f64 y 1/3) |
(*.f64 1/3 y) |
(*.f64 y 1/3) |
(*.f64 1/3 y) |
(*.f64 y 1/3) |
(*.f64 1/3 y) |
(*.f64 y 1/3) |
(*.f64 1/3 y) |
(*.f64 y 1/3) |
(*.f64 1/3 y) |
(*.f64 y 1/3) |
Compiled 14263 to 10664 computations (25.2% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 556 | 14 | 570 |
| Fresh | 7 | 5 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 1 | 5 |
| Total | 568 | 20 | 588 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.2b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| 38.5b | 1 | |
| 0.2b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x)))) | |
| 18.1b | (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) | |
| 46.5b | (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3) | |
| 42.7b | (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) | |
| 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2))) | |
| 12.5b | (-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/81 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2)))) | |
| 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (pow.f64 (*.f64 3 (/.f64 (sqrt.f64 x) y)) -1)) | |
| 46.3b | (pow.f64 (*.f64 x -9) -1) | |
| ▶ | 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 x -1/2) (/.f64 y 3))) |
| 30.8b | (/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x))) | |
| 46.3b | (*.f64 -1/9 (/.f64 1 x)) | |
| 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) | |
| ✓ | 46.3b | (/.f64 -1/9 x) |
| ▶ | 21.6b | (+.f64 1 (/.f64 -1/9 x)) |
| ▶ | 0.2b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.2b | (-.f64 (-.f64 1 (*.f64 (/.f64 1 x) 1/9)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| 18.1b | (+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))) | |
| ▶ | 42.4b | (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
Compiled 502 to 413 computations (17.7% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 1/9 x) | |
| 0.2b | (/.f64 y (sqrt.f64 (*.f64 x 9))) | |
| 0.1b | (sqrt.f64 (*.f64 x 9)) | |
| 0.0b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) | |
| ✓ | 0.0b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.1b | (sqrt.f64 (*.f64 x 9)) | |
| 0.2b | (/.f64 y (sqrt.f64 (*.f64 x 9))) | |
| 0.4b | (/.f64 1/9 x) |
Compiled 40 to 29 computations (27.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.0ms | x | @ | -inf | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.0ms | x | @ | inf | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.0ms | y | @ | inf | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.0ms | y | @ | -inf | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 1× | batch-egg-rewrite |
| 612× | log-prod_binary64 |
| 400× | fma-def_binary64 |
| 337× | pow2_binary64 |
| 230× | pow1/3_binary64 |
| 229× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 18 |
| 1 | 272 | 18 |
| 2 | 3784 | 16 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| Outputs |
|---|
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(neg.f64 y) (*.f64 3 (sqrt.f64 x))) 1 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 1/3 (sqrt.f64 x))) y (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x))) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x))))) (+.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))) (*.f64 y (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 y y) (/.f64 1/9 x)))) (cbrt.f64 (*.f64 y (/.f64 1/3 (sqrt.f64 x)))) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 y (/.f64 1/3 (sqrt.f64 x)) (/.f64 1/9 x))))))))) |
| 1× | egg-herbie |
| 354× | fma-neg_binary64 |
| 290× | fma-def_binary64 |
| 121× | cancel-sign-sub-inv_binary64 |
| 47× | distribute-rgt-in_binary64 |
| 46× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 226 |
| 1 | 35 | 208 |
| 2 | 66 | 208 |
| 3 | 114 | 208 |
| 4 | 164 | 208 |
| 5 | 239 | 208 |
| 6 | 401 | 208 |
| 7 | 678 | 208 |
| 8 | 1037 | 208 |
| 9 | 1288 | 208 |
| 10 | 1453 | 208 |
| 11 | 1465 | 208 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 1 (/.f64 1/9 x)) |
(+.f64 1 (/.f64 -1/9 x)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 -1/9 x) | |
| 0.4b | (/.f64 -1/9 x) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 0 | 0 |
| 1× | saturated |
| Inputs |
|---|
| Outputs |
|---|
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 y -1/3) | |
| 0.3b | (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) | |
| 0.1b | (sqrt.f64 (/.f64 1 x)) | |
| 0.1b | (sqrt.f64 (/.f64 1 x)) | |
| ✓ | 0.3b | (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
| ✓ | 0.3b | (*.f64 y -1/3) |
Compiled 24 to 17 computations (29.2% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
| 0.0ms | x | @ | inf | (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
| 0.0ms | x | @ | 0 | (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
| 0.0ms | y | @ | 0 | (*.f64 y -1/3) |
| 0.0ms | y | @ | -inf | (*.f64 y -1/3) |
| 1× | batch-egg-rewrite |
| 779× | pow1_binary64 |
| 721× | add-log-exp_binary64 |
| 721× | log1p-expm1-u_binary64 |
| 721× | expm1-log1p-u_binary64 |
| 704× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 181 | 13 |
| 2 | 2055 | 13 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y -1/3) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y -1/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 y y) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y -1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -1/3))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y -1/3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y -1/3) 3) (/.f64 (pow.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -1/2) x) (pow.f64 (*.f64 y -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))))))) |
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 192 |
| 1 | 16 | 192 |
| 2 | 22 | 192 |
| 3 | 23 | 192 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
| Outputs |
|---|
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 y) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 1/9 x) | |
| 0.3b | (*.f64 3 (sqrt.f64 x)) | |
| 0.2b | (/.f64 y (*.f64 3 (sqrt.f64 x))) | |
| 0.0b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) | |
| ✓ | 0.0b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| 0.2b | (/.f64 y (*.f64 3 (sqrt.f64 x))) | |
| 0.3b | (*.f64 3 (sqrt.f64 x)) | |
| 0.4b | (/.f64 1/9 x) |
Compiled 39 to 25 computations (35.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| 0.0ms | x | @ | 0 | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| 0.0ms | x | @ | -inf | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| 0.0ms | y | @ | 0 | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| 0.0ms | y | @ | inf | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| 1× | batch-egg-rewrite |
| 619× | log-prod_binary64 |
| 425× | fma-def_binary64 |
| 341× | pow2_binary64 |
| 240× | log-div_binary64 |
| 233× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 18 |
| 1 | 272 | 18 |
| 2 | 3852 | 16 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (*.f64 3 (sqrt.f64 x)))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 354× | fma-neg_binary64 |
| 290× | fma-def_binary64 |
| 121× | cancel-sign-sub-inv_binary64 |
| 47× | distribute-rgt-in_binary64 |
| 46× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 226 |
| 1 | 35 | 208 |
| 2 | 66 | 208 |
| 3 | 114 | 208 |
| 4 | 164 | 208 |
| 5 | 239 | 208 |
| 6 | 401 | 208 |
| 7 | 678 | 208 |
| 8 | 1037 | 208 |
| 9 | 1288 | 208 |
| 10 | 1453 | 208 |
| 11 | 1465 | 208 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 1 (/.f64 1/9 x)) |
(+.f64 1 (/.f64 -1/9 x)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (/.f64 -1/9 x))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 (pow.f64 x -1/2) (/.f64 y 3)) | |
| 0.3b | (/.f64 1 (*.f64 x 9)) | |
| 0.0b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 x -1/2) (/.f64 y 3))) | |
| ✓ | 0.0b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 x -1/2) (/.f64 y 3))) |
| 0.3b | (/.f64 1 (*.f64 x 9)) | |
| ✓ | 0.3b | (*.f64 (pow.f64 x -1/2) (/.f64 y 3)) |
Compiled 51 to 39 computations (23.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 (pow.f64 x -1/2) (/.f64 y 3)) |
| 1.0ms | y | @ | 0 | (*.f64 (pow.f64 x -1/2) (/.f64 y 3)) |
| 1.0ms | x | @ | 0 | (*.f64 (pow.f64 x -1/2) (/.f64 y 3)) |
| 1.0ms | x | @ | -inf | (*.f64 (pow.f64 x -1/2) (/.f64 y 3)) |
| 1.0ms | y | @ | inf | (*.f64 (pow.f64 x -1/2) (/.f64 y 3)) |
| 1× | batch-egg-rewrite |
| 696× | log-prod_binary64 |
| 359× | fma-def_binary64 |
| 268× | expm1-udef_binary64 |
| 267× | pow1/3_binary64 |
| 267× | log1p-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 32 |
| 1 | 322 | 29 |
| 2 | 4226 | 27 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 x -1/2) (/.f64 y 3)) |
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 (pow.f64 x -1/2) (/.f64 y 3))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) (pow.f64 x -1/2))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) (pow.f64 x -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) (pow.f64 x -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 3 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 3 (*.f64 (pow.f64 x -1/2) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -1/2) y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x -1/2) y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (pow.f64 x -1/2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 y)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 y 1/3)) (pow.f64 x -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) y) 3) 27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3 (*.f64 (pow.f64 x -1/2) y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (*.f64 y y) 1/9) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) y) 3) 27))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (fma.f64 (pow.f64 x -1/2) (*.f64 y 1/3) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (neg.f64 (*.f64 y 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (*.f64 y 1/3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 (pow.f64 x -1/2) (*.f64 y 1/3) (/.f64 1/9 x))) (fma.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (*.f64 y 1/3))) 1 (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 (pow.f64 x -1/2) (*.f64 y 1/3) (/.f64 1/9 x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3))) 2) (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 (pow.f64 x -1/2) (*.f64 y 1/3) (/.f64 1/9 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (*.f64 y 1/3) (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (fma.f64 (pow.f64 x -1/2) (*.f64 y 1/3) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (*.f64 y 1/3))) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (fma.f64 (pow.f64 x -1/2) (*.f64 y 1/3) (/.f64 1/9 x))))) (cbrt.f64 (exp.f64 (-.f64 1 (fma.f64 (pow.f64 x -1/2) (*.f64 y 1/3) (/.f64 1/9 x))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (fma.f64 (pow.f64 x -1/2) (*.f64 y 1/3) (/.f64 1/9 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (fma.f64 (pow.f64 x -1/2) (*.f64 y 1/3) (/.f64 1/9 x)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (fma.f64 (pow.f64 x -1/2) (*.f64 y 1/3) 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(2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3))) 2)) (cbrt.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y 1/3))) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (pow.f64 x -1/2)) y) 1/3 (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (pow.f64 x -1/2)) 1) (*.f64 y 1/3) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 (cbrt.f64 (*.f64 y 1/3)) 2)) (cbrt.f64 (*.f64 y 1/3)) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (pow.f64 x -1/2)) (sqrt.f64 (*.f64 y 1/3))) (sqrt.f64 (*.f64 y 1/3)) (-.f64 1 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 (pow.f64 x -1/2) (*.f64 y 1/3) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (fma.f64 (pow.f64 x -1/2) (*.f64 y 1/3) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (fma.f64 (pow.f64 x -1/2) (*.f64 y 1/3) (/.f64 1/9 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 (pow.f64 x -1/2) (*.f64 y 1/3) (/.f64 1/9 x))))))))) |
| 1× | egg-herbie |
| 354× | fma-neg_binary64 |
| 290× | fma-def_binary64 |
| 123× | cancel-sign-sub-inv_binary64 |
| 47× | distribute-rgt-in_binary64 |
| 46× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 370 |
| 1 | 40 | 352 |
| 2 | 78 | 352 |
| 3 | 128 | 352 |
| 4 | 178 | 352 |
| 5 | 251 | 352 |
| 6 | 408 | 352 |
| 7 | 687 | 352 |
| 8 | 1049 | 352 |
| 9 | 1300 | 352 |
| 10 | 1465 | 352 |
| 11 | 1477 | 352 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 1 (/.f64 1/9 x)) |
(+.f64 1 (/.f64 -1/9 x)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
Compiled 15203 to 10930 computations (28.1% saved)
20 alts after pruning (17 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 699 | 9 | 708 |
| Fresh | 6 | 8 | 14 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 708 | 20 | 728 |
| Status | Error | Program |
|---|---|---|
| 18.1b | (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) | |
| 46.5b | (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3) | |
| ▶ | 0.2b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (sqrt.f64 (/.f64 1/9 x)) y)) |
| 12.5b | (-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/81 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2)))) | |
| 46.3b | (pow.f64 (*.f64 x -9) -1) | |
| 30.8b | (/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x))) | |
| ▶ | 46.3b | (*.f64 -1/9 (/.f64 1 x)) |
| 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) | |
| ▶ | 42.4b | (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) |
| 42.4b | (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) | |
| ✓ | 46.3b | (/.f64 -1/9 x) |
| ✓ | 21.6b | (+.f64 1 (/.f64 -1/9 x)) |
| ✓ | 0.2b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| ▶ | 0.2b | (-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.2b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (/.f64 y 3))) | |
| 38.5b | 1 | |
| 42.7b | (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) | |
| 0.2b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2))) | |
| 18.1b | (+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))) | |
| ▶ | 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (pow.f64 x -1/2) (/.f64 3 y))) |
Compiled 453 to 370 computations (18.3% saved)
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (*.f64 1/9 (/.f64 1 x)) | |
| 0.2b | (/.f64 y (sqrt.f64 (*.f64 x 9))) | |
| 0.1b | (sqrt.f64 (*.f64 x 9)) | |
| 0.0b | (-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) | |
| ✓ | 0.0b | (-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.1b | (sqrt.f64 (*.f64 x 9)) | |
| 0.2b | (/.f64 y (sqrt.f64 (*.f64 x 9))) | |
| ✓ | 0.4b | (*.f64 1/9 (/.f64 1 x)) |
Compiled 49 to 37 computations (24.5% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 1/9 (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.0ms | x | @ | 0 | (-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.0ms | x | @ | inf | (-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.0ms | y | @ | -inf | (-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 1× | batch-egg-rewrite |
| 674× | log-prod_binary64 |
| 390× | fma-def_binary64 |
| 363× | pow2_binary64 |
| 248× | pow1/3_binary64 |
| 248× | expm1-udef_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 22 |
| 1 | 297 | 22 |
| 2 | 4001 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/9 (/.f64 1 x)) |
(-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (fma.f64 y (/.f64 (pow.f64 x -1/2) 3) (/.f64 1/9 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -1/9 x)) (*.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 y (/.f64 (pow.f64 x -1/2) 3) (/.f64 1/9 x))) (fma.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))) 1 (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 y (/.f64 (pow.f64 x -1/2) 3) (/.f64 1/9 x))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) 3)) y (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (fma.f64 y (/.f64 (pow.f64 x -1/2) 3) (/.f64 1/9 x))) (fma.f64 (neg.f64 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x)))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) 3)) y (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2) (/.f64 (*.f64 y y) (*.f64 x 9))) (/.f64 1 (fma.f64 y (/.f64 (pow.f64 x -1/2) 3) (+.f64 1 (/.f64 -1/9 x)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))))) (cbrt.f64 (/.f64 (*.f64 y y) (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 -1/9 x)) 2) (/.f64 (*.f64 y y) (*.f64 x 9))) (/.f64 1 (fma.f64 y (/.f64 (pow.f64 x -1/2) 3) (+.f64 1 (/.f64 -1/9 x)))) (+.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))) (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (pow.f64 x -2) 1/81)) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (pow.f64 x -2) 1/81)) (/.f64 1 (+.f64 1 (/.f64 1/9 x))) (*.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x)))) 2) (cbrt.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x)))) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x)))) (sqrt.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x)))) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))))) (sqrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x)))) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))))) (fma.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))) 1 (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))))) (fma.f64 (neg.f64 (/.f64 (pow.f64 x -1/2) 3)) y (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))))) (cbrt.f64 (/.f64 (*.f64 y y) (*.f64 x 9))) (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))))) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 -1/9 x))) (sqrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x))))) (+.f64 (/.f64 (neg.f64 y) (*.f64 3 (sqrt.f64 x))) (/.f64 y (*.f64 3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (/.f64 (*.f64 y y) (*.f64 x 9)))) (cbrt.f64 (/.f64 y (*.f64 3 (sqrt.f64 x)))) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (fma.f64 y (/.f64 (pow.f64 x -1/2) 3) (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (-.f64 (/.f64 -1/9 x) (/.f64 y (*.f64 3 (sqrt.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 y (/.f64 (pow.f64 x -1/2) 3) (/.f64 1/9 x))))))))) |
| 1× | egg-herbie |
| 354× | fma-neg_binary64 |
| 292× | fma-def_binary64 |
| 121× | cancel-sign-sub-inv_binary64 |
| 47× | distribute-rgt-in_binary64 |
| 46× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 274 |
| 1 | 35 | 256 |
| 2 | 66 | 256 |
| 3 | 114 | 256 |
| 4 | 164 | 256 |
| 5 | 239 | 256 |
| 6 | 401 | 256 |
| 7 | 680 | 256 |
| 8 | 1041 | 256 |
| 9 | 1292 | 256 |
| 10 | 1457 | 256 |
| 11 | 1469 | 256 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
| Outputs |
|---|
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 1/9 x) |
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 1 (/.f64 1/9 x)) |
(+.f64 1 (/.f64 -1/9 x)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x)) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))) (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y) (+.f64 1 (/.f64 -1/9 x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (*.f64 -1/9 (/.f64 1 x)) | |
| ✓ | 0.4b | (*.f64 -1/9 (/.f64 1 x)) |
Compiled 13 to 10 computations (23.1% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (*.f64 -1/9 (/.f64 1 x)) |
| 0.0ms | x | @ | -inf | (*.f64 -1/9 (/.f64 1 x)) |
| 0.0ms | x | @ | inf | (*.f64 -1/9 (/.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 495× | pow1_binary64 |
| 483× | add-sqr-sqrt_binary64 |
| 461× | add-log-exp_binary64 |
| 461× | log1p-expm1-u_binary64 |
| 461× | expm1-log1p-u_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 4 |
| 1 | 121 | 4 |
| 2 | 1313 | 4 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1/9 (/.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1/9 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/9 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/9 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/9 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/9 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1/9 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1/9 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1/9 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x -2) 1/81))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1/9 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1/9 x))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 48 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
| Outputs |
|---|
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
(/.f64 -1/9 x) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (*.f64 y -1/3) | |
| 0.3b | (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) | |
| ✓ | 0.3b | (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) |
| 0.3b | (*.f64 y -1/3) |
Compiled 19 to 13 computations (31.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) |
| 0.0ms | x | @ | -inf | (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) |
| 0.0ms | y | @ | 0 | (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) |
| 0.0ms | y | @ | inf | (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) |
| 1× | batch-egg-rewrite |
| 741× | pow1_binary64 |
| 689× | add-log-exp_binary64 |
| 689× | log1p-expm1-u_binary64 |
| 689× | expm1-log1p-u_binary64 |
| 674× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 168 | 10 |
| 2 | 1892 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (*.f64 y y) 1/9) (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/3) y) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -1/2) 3) (pow.f64 (*.f64 y -1/3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y -1/3) 3) (pow.f64 (pow.f64 x -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)))))))) |
| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 3× | associate-*r*_binary64 |
| 3× | associate-*l*_binary64 |
| 1× | 1-exp_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 144 |
| 1 | 15 | 144 |
| 2 | 22 | 144 |
| 3 | 24 | 144 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
| Outputs |
|---|
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 -1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/3 y)) |
Found 8 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.4b | (/.f64 1/9 x) | |
| 0.2b | (*.f64 (sqrt.f64 (/.f64 1/9 x)) y) | |
| 0.1b | (sqrt.f64 (/.f64 1/9 x)) | |
| 0.0b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (sqrt.f64 (/.f64 1/9 x)) y)) | |
| ✓ | 0.0b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (sqrt.f64 (/.f64 1/9 x)) y)) |
| ✓ | 0.1b | (sqrt.f64 (/.f64 1/9 x)) |
| ✓ | 0.2b | (*.f64 (sqrt.f64 (/.f64 1/9 x)) y) |
| 0.4b | (/.f64 1/9 x) |
Compiled 36 to 26 computations (27.8% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (*.f64 (sqrt.f64 (/.f64 1/9 x)) y) |
| 1.0ms | x | @ | -inf | (*.f64 (sqrt.f64 (/.f64 1/9 x)) y) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (/.f64 1/9 x)) |
| 1.0ms | x | @ | -inf | (-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (sqrt.f64 (/.f64 1/9 x)) y)) |
| 0.0ms | x | @ | 0 | (sqrt.f64 (/.f64 1/9 x)) |
| 1× | batch-egg-rewrite |
| 514× | log-prod_binary64 |
| 361× | fma-def_binary64 |
| 333× | pow-prod-down_binary64 |
| 288× | pow2_binary64 |
| 197× | pow1/3_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 33 |
| 1 | 228 | 33 |
| 2 | 3094 | 31 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 1/9 x)) y) |
(sqrt.f64 (/.f64 1/9 x)) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (sqrt.f64 (/.f64 1/9 x)) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 1/3 (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 1/3 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 1/3) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/9 x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 1/3 (sqrt.f64 x)) y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 x) 1/6) (cbrt.f64 (/.f64 1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 x)) (pow.f64 (/.f64 1/9 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/9 x) 1/4) (pow.f64 (/.f64 1/9 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/9 1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 x 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1/9) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/9 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/27 (pow.f64 x 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/81 (pow.f64 x -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/9 x)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/9 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9) -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 9)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) 1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1/3 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/27 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (/.f64 1/9 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 1/9 x) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (/.f64 1/9 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/9 x)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/3 (sqrt.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 (sqrt.f64 x)))))))) |
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(sqrt.f64 x)) 1) y (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1/3 (sqrt.f64 x)) (sqrt.f64 y)) (sqrt.f64 y) (+.f64 1 (/.f64 -1/9 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (+.f64 1 (/.f64 -1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 x)) y (/.f64 1/9 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 x)) y (/.f64 1/9 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (neg.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 x)) y (/.f64 1/9 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (+.f64 1 (/.f64 -1/9 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (neg.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 x)) y (/.f64 1/9 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 (fma.f64 (/.f64 1/3 (sqrt.f64 x)) y (/.f64 1/9 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (/.f64 -1/3 (sqrt.f64 x)) (+.f64 1 (/.f64 -1/9 x))))))))) |
| 1× | egg-herbie |
| 354× | fma-neg_binary64 |
| 290× | fma-def_binary64 |
| 123× | cancel-sign-sub-inv_binary64 |
| 47× | distribute-rgt-in_binary64 |
| 46× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 370 |
| 1 | 40 | 352 |
| 2 | 78 | 352 |
| 3 | 128 | 352 |
| 4 | 178 | 352 |
| 5 | 251 | 352 |
| 6 | 408 | 352 |
| 7 | 687 | 352 |
| 8 | 1049 | 352 |
| 9 | 1300 | 352 |
| 10 | 1465 | 352 |
| 11 | 1477 | 352 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 1 (/.f64 1/9 x)) |
(+.f64 1 (/.f64 -1/9 x)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
Found 6 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.3b | (/.f64 (pow.f64 x -1/2) (/.f64 3 y)) | |
| 0.3b | (/.f64 1 (*.f64 x 9)) | |
| 0.0b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (pow.f64 x -1/2) (/.f64 3 y))) | |
| ✓ | 0.0b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (pow.f64 x -1/2) (/.f64 3 y))) |
| 0.3b | (/.f64 1 (*.f64 x 9)) | |
| ✓ | 0.3b | (/.f64 (pow.f64 x -1/2) (/.f64 3 y)) |
Compiled 51 to 39 computations (23.5% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (pow.f64 x -1/2) (/.f64 3 y))) |
| 1.0ms | x | @ | 0 | (/.f64 (pow.f64 x -1/2) (/.f64 3 y)) |
| 0.0ms | x | @ | inf | (/.f64 (pow.f64 x -1/2) (/.f64 3 y)) |
| 0.0ms | x | @ | -inf | (/.f64 (pow.f64 x -1/2) (/.f64 3 y)) |
| 0.0ms | x | @ | 0 | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (pow.f64 x -1/2) (/.f64 3 y))) |
| 1× | batch-egg-rewrite |
| 722× | log-prod_binary64 |
| 431× | fma-def_binary64 |
| 271× | expm1-udef_binary64 |
| 270× | log1p-udef_binary64 |
| 260× | log-div_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 32 |
| 1 | 324 | 27 |
| 2 | 4484 | 25 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x -1/2) (/.f64 3 y)) |
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (/.f64 (pow.f64 x -1/2) (/.f64 3 y))) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 (/.f64 1/9 x))))))))) |
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x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (fma.f64 y (sqrt.f64 (/.f64 1/9 x)) (/.f64 1/9 x))))))))) |
| 1× | egg-herbie |
| 354× | fma-neg_binary64 |
| 290× | fma-def_binary64 |
| 123× | cancel-sign-sub-inv_binary64 |
| 47× | distribute-rgt-in_binary64 |
| 46× | distribute-rgt-neg-in_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 370 |
| 1 | 40 | 352 |
| 2 | 78 | 352 |
| 3 | 128 | 352 |
| 4 | 178 | 352 |
| 5 | 251 | 352 |
| 6 | 408 | 352 |
| 7 | 687 | 352 |
| 8 | 1049 | 352 |
| 9 | 1300 | 352 |
| 10 | 1465 | 352 |
| 11 | 1477 | 352 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
| Outputs |
|---|
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(*.f64 1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 1/3 y) (sqrt.f64 (/.f64 1 x))) |
(/.f64 -1/9 x) |
1 |
1 |
(-.f64 1 (*.f64 1/9 (/.f64 1 x))) |
(-.f64 1 (/.f64 1/9 x)) |
(+.f64 1 (/.f64 -1/9 x)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3)) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
(-.f64 (+.f64 1 (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (*.f64 1/9 (/.f64 1 x))) |
(+.f64 1 (-.f64 (*.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3) (/.f64 1/9 x))) |
(+.f64 1 (fma.f64 (*.f64 y (sqrt.f64 (/.f64 1 x))) -1/3 (/.f64 -1/9 x))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (+.f64 1 (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3) (/.f64 -1/9 x))) |
(+.f64 1 (fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y -1/3) (/.f64 -1/9 x))) |
Compiled 15867 to 11761 computations (25.9% saved)
23 alts after pruning (16 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 730 | 6 | 736 |
| Fresh | 2 | 10 | 12 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 7 | 7 |
| Total | 733 | 23 | 756 |
| Status | Error | Program |
|---|---|---|
| 0.2b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2))) | |
| 46.4b | (/.f64 (/.f64 -1/9 (sqrt.f64 x)) (sqrt.f64 x)) | |
| ✓ | 0.2b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (sqrt.f64 (/.f64 1/9 x)) y)) |
| 12.5b | (-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/81 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2)))) | |
| 42.4b | (*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) | |
| 46.3b | (pow.f64 (*.f64 x -9) -1) | |
| 30.8b | (/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x))) | |
| 42.7b | (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) | |
| ✓ | 46.3b | (*.f64 -1/9 (/.f64 1 x)) |
| 0.2b | (-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) | |
| 46.3b | (/.f64 1 (/.f64 x -1/9)) | |
| ✓ | 42.4b | (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) |
| 42.4b | (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) | |
| ✓ | 46.3b | (/.f64 -1/9 x) |
| ✓ | 21.6b | (+.f64 1 (/.f64 -1/9 x)) |
| ✓ | 0.2b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.2b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (pow.f64 x -1/2) (/.f64 3 y))) | |
| ✓ | 0.2b | (-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
| 0.2b | (-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (/.f64 y 3))) | |
| 38.5b | 1 | |
| 46.5b | (pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3) | |
| 18.1b | (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) | |
| 18.1b | (+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))) |
Compiled 265 to 215 computations (18.9% saved)
| Inputs |
|---|
1 |
(/.f64 -1/9 x) |
(+.f64 1 (/.f64 -1/9 x)) |
(/.f64 1 (/.f64 x -1/9)) |
(*.f64 -1/9 (/.f64 1 x)) |
(/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x))) |
(pow.f64 (*.f64 x -9) -1) |
(/.f64 (*.f64 y -1/3) (sqrt.f64 x)) |
(*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) |
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (sqrt.f64 (/.f64 1/9 x)) y)) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (*.f64 (pow.f64 x -1/2) (/.f64 y 3))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 (pow.f64 x -1/2) (/.f64 3 y))) |
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (pow.f64 (/.f64 x 1/9) 1/2))) |
(-.f64 (-.f64 1 (*.f64 1/9 (/.f64 1 x))) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
(-.f64 (-.f64 1 (/.f64 1 (*.f64 x 9))) (*.f64 y (sqrt.f64 (/.f64 1/9 x)))) |
(pow.f64 (cbrt.f64 (/.f64 -1/9 x)) 3) |
(/.f64 (/.f64 -1/9 (sqrt.f64 x)) (sqrt.f64 x)) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (*.f64 1/9 (/.f64 1 x)))) (*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x))))) (/.f64 1/81 (*.f64 (+.f64 1 (*.f64 1/9 (/.f64 1 x))) (pow.f64 x 2)))) |
| Outputs |
|---|
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
2 calls:
| 14.0ms | y |
| 12.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | y |
Compiled 227 to 173 computations (23.8% saved)
| Inputs |
|---|
1 |
(/.f64 -1/9 x) |
(+.f64 1 (/.f64 -1/9 x)) |
(/.f64 1 (/.f64 x -1/9)) |
(*.f64 -1/9 (/.f64 1 x)) |
(/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x))) |
(pow.f64 (*.f64 x -9) -1) |
(/.f64 (*.f64 y -1/3) (sqrt.f64 x)) |
(*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) |
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
(+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))) |
| Outputs |
|---|
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) |
(+.f64 1 (/.f64 -1/9 x)) |
(+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))) |
2 calls:
| 29.0ms | y |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 8.8b | 2 | x |
| 2.7b | 3 | y |
Compiled 91 to 68 computations (25.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 2.812528158061779e+39 | 2.6268509508462523e+54 |
| 33.0ms | -4.564857552091811e+66 | -1.2096757723137425e+61 |
Compiled 21 to 17 computations (19% saved)
| Inputs |
|---|
1 |
(/.f64 -1/9 x) |
(+.f64 1 (/.f64 -1/9 x)) |
(/.f64 1 (/.f64 x -1/9)) |
(*.f64 -1/9 (/.f64 1 x)) |
(/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x))) |
(pow.f64 (*.f64 x -9) -1) |
(/.f64 (*.f64 y -1/3) (sqrt.f64 x)) |
(*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) |
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) |
(*.f64 -1/3 (*.f64 y (sqrt.f64 (/.f64 1 x)))) |
(*.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) -1/3)) |
| Outputs |
|---|
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) |
(+.f64 1 (/.f64 -1/9 x)) |
(+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) |
2 calls:
| 27.0ms | y |
| 21.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 8.8b | 2 | x |
| 2.8b | 3 | y |
Compiled 82 to 61 computations (25.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 2.812528158061779e+39 | 2.6268509508462523e+54 |
| 27.0ms | -4.564857552091811e+66 | -1.2096757723137425e+61 |
Compiled 21 to 17 computations (19% saved)
| Inputs |
|---|
1 |
(/.f64 -1/9 x) |
(+.f64 1 (/.f64 -1/9 x)) |
(/.f64 1 (/.f64 x -1/9)) |
(*.f64 -1/9 (/.f64 1 x)) |
(/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x))) |
(pow.f64 (*.f64 x -9) -1) |
(/.f64 (*.f64 y -1/3) (sqrt.f64 x)) |
(*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) |
| Outputs |
|---|
(/.f64 (*.f64 y -1/3) (sqrt.f64 x)) |
(+.f64 1 (/.f64 -1/9 x)) |
(*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)) |
2 calls:
| 19.0ms | y |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.9b | 3 | x |
| 4.4b | 3 | y |
Compiled 58 to 44 computations (24.1% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 6.154602814829118e+61 | 1.3227510417967161e+63 |
| 27.0ms | -4.564857552091811e+66 | -1.2096757723137425e+61 |
Compiled 21 to 17 computations (19% saved)
| Inputs |
|---|
1 |
(/.f64 -1/9 x) |
(+.f64 1 (/.f64 -1/9 x)) |
(/.f64 1 (/.f64 x -1/9)) |
(*.f64 -1/9 (/.f64 1 x)) |
(/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x))) |
(pow.f64 (*.f64 x -9) -1) |
(/.f64 (*.f64 y -1/3) (sqrt.f64 x)) |
| Outputs |
|---|
(/.f64 (*.f64 y -1/3) (sqrt.f64 x)) |
(+.f64 1 (/.f64 -1/9 x)) |
(/.f64 (*.f64 y -1/3) (sqrt.f64 x)) |
2 calls:
| 17.0ms | y |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 17.9b | 3 | x |
| 4.4b | 3 | y |
Compiled 51 to 39 computations (23.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 6.154602814829118e+61 | 1.3227510417967161e+63 |
| 26.0ms | -4.564857552091811e+66 | -1.2096757723137425e+61 |
Compiled 21 to 17 computations (19% saved)
| Inputs |
|---|
1 |
(/.f64 -1/9 x) |
(+.f64 1 (/.f64 -1/9 x)) |
(/.f64 1 (/.f64 x -1/9)) |
(*.f64 -1/9 (/.f64 1 x)) |
(/.f64 (-.f64 1 (/.f64 (/.f64 1/81 x) x)) (+.f64 1 (/.f64 1/9 x))) |
(pow.f64 (*.f64 x -9) -1) |
| Outputs |
|---|
(+.f64 1 (/.f64 -1/9 x)) |
2 calls:
| 6.0ms | x |
| 6.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 21.6b | 1 | x |
| 21.6b | 1 | y |
Compiled 45 to 35 computations (22.2% saved)
Total -40.9b remaining (-185.1%)
Threshold costs -40.9b (-185.1%)
| Inputs |
|---|
1 |
(/.f64 -1/9 x) |
| Outputs |
|---|
(/.f64 -1/9 x) |
1 |
2 calls:
| 15.0ms | y |
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 22.1b | 2 | x |
| 35.4b | 5 | y |
Compiled 12 to 9 computations (25% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 2.4874997134739188e-6 | 0.0026390324936760514 |
Compiled 21 to 17 computations (19% saved)
| 1× | egg-herbie |
| 8× | +-commutative_binary64 |
| 7× | *-commutative_binary64 |
| 5× | sub-neg_binary64 |
| 3× | neg-sub0_binary64 |
| 3× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 199 |
| 1 | 59 | 199 |
| 2 | 70 | 199 |
| 3 | 76 | 199 |
| 4 | 80 | 199 |
| 5 | 81 | 199 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
(if (<=.f64 y -4564857552091811332111380597173900092062941591089213188560954327040) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) (if (<=.f64 y 2812528158061779006296062127988440825856) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))))) |
(if (<=.f64 y -4564857552091811332111380597173900092062941591089213188560954327040) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) (if (<=.f64 y 2812528158061779006296062127988440825856) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))) |
(if (<=.f64 y -4564857552091811332111380597173900092062941591089213188560954327040) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (if (<=.f64 y 61546028148291183319160938859679507701755382580369024666828800) (+.f64 1 (/.f64 -1/9 x)) (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)))) |
(if (<=.f64 y -4564857552091811332111380597173900092062941591089213188560954327040) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (if (<=.f64 y 61546028148291183319160938859679507701755382580369024666828800) (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))) |
(+.f64 1 (/.f64 -1/9 x)) |
(if (<=.f64 x 1468360659132135/590295810358705651712) (/.f64 -1/9 x) 1) |
1 |
| Outputs |
|---|
(-.f64 (-.f64 1 (/.f64 1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
(-.f64 (+.f64 1 (/.f64 -1/9 x)) (/.f64 y (sqrt.f64 (*.f64 x 9)))) |
(if (<=.f64 y -4564857552091811332111380597173900092062941591089213188560954327040) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) (if (<=.f64 y 2812528158061779006296062127988440825856) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 -1/3 y))))) |
(if (<=.f64 y -4564857552091811332111380597173900092062941591089213188560954327040) (+.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))) (if (<=.f64 y 2812528158061779006296062127988440825856) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3))))) |
(if (<=.f64 y -4564857552091811332111380597173900092062941591089213188560954327040) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))) (if (<=.f64 y 2812528158061779006296062127988440825856) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (/.f64 (*.f64 -1/3 y) (sqrt.f64 x))))) |
(if (<=.f64 y -4564857552091811332111380597173900092062941591089213188560954327040) (+.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))) (if (<=.f64 y 2812528158061779006296062127988440825856) (+.f64 1 (/.f64 -1/9 x)) (+.f64 1 (/.f64 (*.f64 y -1/3) (sqrt.f64 x))))) |
(if (<=.f64 y -4564857552091811332111380597173900092062941591089213188560954327040) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (if (<=.f64 y 61546028148291183319160938859679507701755382580369024666828800) (+.f64 1 (/.f64 -1/9 x)) (*.f64 (pow.f64 x -1/2) (*.f64 y -1/3)))) |
(if (<=.f64 y -4564857552091811332111380597173900092062941591089213188560954327040) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)) (if (<=.f64 y 61546028148291183319160938859679507701755382580369024666828800) (+.f64 1 (/.f64 -1/9 x)) (/.f64 (*.f64 y -1/3) (sqrt.f64 x)))) |
(+.f64 1 (/.f64 -1/9 x)) |
(if (<=.f64 x 1468360659132135/590295810358705651712) (/.f64 -1/9 x) 1) |
1 |
| 1× | fuel |
Compiled 290 to 215 computations (25.9% saved)
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