Time bar (total: 12.9s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 99.9% | 0.1% | 4 |
| 12.5% | 87.4% | 0.1% | 5 |
| 18.7% | 81.2% | 0.1% | 6 |
| 43.7% | 56.2% | 0.1% | 7 |
| 50% | 50% | 0.1% | 8 |
| 67.1% | 32.8% | 0.1% | 9 |
| 71.8% | 28.1% | 0.1% | 10 |
| 82.3% | 17.6% | 0.1% | 11 |
| 85.1% | 14.8% | 0.1% | 12 |
Compiled 14 to 11 computations (21.4% saved)
| 877.0ms | 6973× | body | 256 | valid |
| 183.0ms | 614× | body | 1024 | valid |
| 142.0ms | 664× | body | 512 | valid |
| 1.0ms | 5× | body | 2048 | valid |
| 2× | egg-herbie |
| 1050× | fma-neg_binary64 |
| 719× | times-frac_binary64 |
| 363× | associate-/l*_binary64 |
| 326× | unsub-neg_binary64 |
| 291× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 32 |
| 1 | 32 | 32 |
| 2 | 79 | 32 |
| 3 | 209 | 28 |
| 4 | 684 | 28 |
| 5 | 2034 | 28 |
| 6 | 4769 | 28 |
| 7 | 6313 | 28 |
| 8 | 7660 | 28 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
(-.f64 1 (/.f64 (*.f64 (-.f64 1 y) x) (+.f64 x 1))) |
| Outputs |
|---|
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y))) |
(-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))) |
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) |
(fma.f64 (/.f64 (+.f64 x -1) (+.f64 1 y)) y 1) |
(fma.f64 y (/.f64 (+.f64 x -1) (+.f64 1 y)) 1) |
(fma.f64 y (/.f64 (-.f64 1 x) (-.f64 -1 y)) 1) |
(-.f64 1 (/.f64 (*.f64 (-.f64 1 y) x) (+.f64 x 1))) |
(-.f64 1 (/.f64 (-.f64 1 y) (/.f64 (+.f64 1 x) x))) |
(-.f64 1 (/.f64 x (/.f64 (+.f64 1 x) (-.f64 1 y)))) |
(-.f64 1 (*.f64 (/.f64 x (+.f64 1 x)) (-.f64 1 y))) |
(fma.f64 (/.f64 (+.f64 y -1) (+.f64 1 x)) x 1) |
(fma.f64 x (/.f64 (+.f64 y -1) (+.f64 1 x)) 1) |
(fma.f64 x (/.f64 (-.f64 1 y) (-.f64 -1 x)) 1) |
Compiled 15 to 12 computations (20% saved)
| 1× | egg-herbie |
| 779× | div-sub_binary64 |
| 766× | fma-def_binary64 |
| 626× | fma-neg_binary64 |
| 411× | sub-neg_binary64 |
| 312× | distribute-rgt-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 19 | 16 |
| 2 | 43 | 16 |
| 3 | 113 | 14 |
| 4 | 344 | 14 |
| 5 | 925 | 14 |
| 6 | 2432 | 14 |
| 7 | 3701 | 14 |
| 8 | 5502 | 14 |
| 9 | 7423 | 14 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| Outputs |
|---|
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
(-.f64 1 (/.f64 (-.f64 1 x) (/.f64 (+.f64 1 y) y))) |
(-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))) |
(-.f64 1 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)))) |
(fma.f64 (/.f64 (-.f64 x 1) (+.f64 1 y)) y 1) |
(fma.f64 y (/.f64 (+.f64 x -1) (+.f64 1 y)) 1) |
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) |
Compiled 23 to 17 computations (26.1% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 2 | 2 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 3 | 3 |
| Status | Error | Program |
|---|---|---|
| ▶ | 14.5b | (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) |
| ▶ | 22.5b | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
Compiled 25 to 19 computations (24% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 (-.f64 1 x) y) |
| ✓ | 2.6b | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| ✓ | 7.5b | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
Compiled 36 to 24 computations (33.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (*.f64 (-.f64 1 x) y) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 1.0ms | y | @ | -inf | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 1× | batch-egg-rewrite |
| 676× | prod-diff_binary64 |
| 549× | log-prod_binary64 |
| 292× | fma-def_binary64 |
| 286× | pow2_binary64 |
| 197× | pow1/3_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 208 | 36 |
| 2 | 3135 | 36 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
(*.f64 (-.f64 1 x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (+.f64 1 y) y)) (/.f64 x (/.f64 (+.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (/.f64 (+.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (*.f64 y (/.f64 1 (+.f64 1 y))))))) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 (-.f64 1 x) y)) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 1 x) y)) (log1p.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) (sqrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))) (#(struct:change #<rule 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x) (+.f64 1 y)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1) (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 3)) (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 2)) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 3))) (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 2))) (neg.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 2) (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 2)) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1) (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) (-.f64 1 (pow.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) y) (neg.f64 (/.f64 1 (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 2) (neg.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (/.f64 1 (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))) 2) (cbrt.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))) (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 2)) (cbrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) 1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) y) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) y) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 1) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 1) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 1) (*.f64 y (neg.f64 x))))))) |
| 1× | egg-herbie |
| 633× | sub-neg_binary64 |
| 568× | times-frac_binary64 |
| 433× | associate-+l+_binary64 |
| 375× | fma-neg_binary64 |
| 308× | associate--l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 1131 |
| 1 | 280 | 1078 |
| 2 | 917 | 998 |
| 3 | 4106 | 894 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (+.f64 1 y)) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(*.f64 y (-.f64 1 x)) |
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1))) |
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))) |
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 x 1))))) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) x)))) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) x)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x))) |
(-.f64 1 (/.f64 y (+.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
1 |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x)))) |
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x))))) |
x |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x)) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y))) |
x |
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (/.f64 1 (pow.f64 y 2))) |
y |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
| Outputs |
|---|
(/.f64 y (+.f64 1 y)) |
(/.f64 y (+.f64 y 1)) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1))) |
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x)) |
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1))) |
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x)) |
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1))) |
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x)) |
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x))) |
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))) |
(/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1)) |
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) |
(*.f64 (/.f64 y (+.f64 y 1)) (neg.f64 x)) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1))) |
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x)) |
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 (neg.f64 (*.f64 y x)) (+.f64 y 1))) |
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x)) |
(neg.f64 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x))) |
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1 |
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x |
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x |
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(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.6b | (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) |
Compiled 27 to 18 computations (33.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) |
| 1.0ms | y | @ | inf | (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) |
| 0.0ms | y | @ | -inf | (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) |
| 0.0ms | x | @ | inf | (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) |
| 0.0ms | x | @ | -inf | (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) |
| 1× | batch-egg-rewrite |
| 619× | unpow-prod-down_binary64 |
| 443× | log-prod_binary64 |
| 261× | pow-prod-down_binary64 |
| 258× | pow2_binary64 |
| 234× | prod-diff_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 14 |
| 1 | 194 | 14 |
| 2 | 2615 | 14 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) (sqrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 3) 1) (+.f64 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 2) (-.f64 1 (*.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))) 2) 1) (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))) 2)))))) |
| 1× | egg-herbie |
| 524× | fma-neg_binary64 |
| 505× | +-commutative_binary64 |
| 367× | associate--l-_binary64 |
| 323× | associate--r+_binary64 |
| 323× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 550 |
| 1 | 145 | 497 |
| 2 | 477 | 365 |
| 3 | 2379 | 359 |
| 4 | 7990 | 359 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 (*.f64 y (-.f64 1 x))))) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))))) |
(+.f64 1 (*.f64 -1 (-.f64 1 x))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (-.f64 1 x)))) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y))) |
(+.f64 1 (*.f64 -1 (-.f64 1 x))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (-.f64 1 x)))) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y))) |
| Outputs |
|---|
(+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) |
(-.f64 1 (/.f64 y (+.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 y (/.f64 (+.f64 1 y) x)) |
(*.f64 (/.f64 y (+.f64 1 y)) x) |
(*.f64 y (/.f64 x (+.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 y (/.f64 (+.f64 1 y) x)) |
(*.f64 (/.f64 y (+.f64 1 y)) x) |
(*.f64 y (/.f64 x (+.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (neg.f64 (*.f64 y (-.f64 1 x)))) |
(-.f64 1 (*.f64 y (-.f64 1 x))) |
(fma.f64 y (+.f64 -1 x) 1) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (*.f64 -1 (*.f64 y (-.f64 1 x))))) |
(+.f64 1 (fma.f64 (*.f64 y y) (-.f64 1 x) (neg.f64 (*.f64 y (-.f64 1 x))))) |
(+.f64 1 (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (*.f64 y y)))) |
(fma.f64 (-.f64 1 x) (fma.f64 y y (neg.f64 y)) 1) |
(fma.f64 (-.f64 1 x) (*.f64 y (-.f64 y 1)) 1) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (-.f64 1 x)) (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x)))))) |
(+.f64 1 (fma.f64 (*.f64 y y) (-.f64 1 x) (fma.f64 -1 (*.f64 y (-.f64 1 x)) (neg.f64 (*.f64 (-.f64 1 x) (pow.f64 y 3)))))) |
(+.f64 1 (fma.f64 (-.f64 1 x) (*.f64 y y) (neg.f64 (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)))))) |
(+.f64 1 (*.f64 (-.f64 1 x) (-.f64 (fma.f64 y y (neg.f64 y)) (pow.f64 y 3)))) |
(+.f64 1 (*.f64 (-.f64 1 x) (-.f64 (*.f64 y (-.f64 y 1)) (pow.f64 y 3)))) |
(+.f64 1 (*.f64 -1 (-.f64 1 x))) |
(+.f64 1 (neg.f64 (-.f64 1 x))) |
(-.f64 1 (-.f64 1 x)) |
x |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (-.f64 1 x)))) (/.f64 x y)) |
(-.f64 (+.f64 (+.f64 1 (neg.f64 (-.f64 1 x))) (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (-.f64 1 (-.f64 1 x)) (-.f64 (/.f64 1 y) (/.f64 x y))) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (fma.f64 -1 (-.f64 1 x) (/.f64 (neg.f64 (-.f64 1 x)) (*.f64 y y)))) (/.f64 x y))) |
(+.f64 (/.f64 1 y) (-.f64 (-.f64 (-.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 x y))) |
(+.f64 (/.f64 (/.f64 (+.f64 -1 x) y) y) (+.f64 x (/.f64 (-.f64 1 x) y))) |
(+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (fma.f64 -1 (-.f64 1 x) (+.f64 (/.f64 (neg.f64 (-.f64 1 x)) (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))) |
(-.f64 (+.f64 (+.f64 (-.f64 1 (-.f64 1 x)) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y)))) (-.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 3)))) (/.f64 x y)) |
(+.f64 (+.f64 x (+.f64 (/.f64 (/.f64 (+.f64 -1 x) y) y) (/.f64 1 (pow.f64 y 3)))) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))) |
(+.f64 x (+.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 (-.f64 1 x) y) y)) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3))))) |
(+.f64 1 (*.f64 -1 (-.f64 1 x))) |
(+.f64 1 (neg.f64 (-.f64 1 x))) |
(-.f64 1 (-.f64 1 x)) |
x |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (*.f64 -1 (-.f64 1 x)))) (/.f64 x y)) |
(-.f64 (+.f64 (+.f64 1 (neg.f64 (-.f64 1 x))) (/.f64 1 y)) (/.f64 x y)) |
(+.f64 (-.f64 1 (-.f64 1 x)) (-.f64 (/.f64 1 y) (/.f64 x y))) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 1 (fma.f64 -1 (-.f64 1 x) (/.f64 (neg.f64 (-.f64 1 x)) (*.f64 y y)))) (/.f64 x y))) |
(+.f64 (/.f64 1 y) (-.f64 (-.f64 (-.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 x y))) |
(+.f64 (/.f64 (/.f64 (+.f64 -1 x) y) y) (+.f64 x (/.f64 (-.f64 1 x) y))) |
(+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 1 (fma.f64 -1 (-.f64 1 x) (+.f64 (/.f64 (neg.f64 (-.f64 1 x)) (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))) |
(-.f64 (+.f64 (+.f64 (-.f64 1 (-.f64 1 x)) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y)))) (-.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 3)))) (/.f64 x y)) |
(+.f64 (+.f64 x (+.f64 (/.f64 (/.f64 (+.f64 -1 x) y) y) (/.f64 1 (pow.f64 y 3)))) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3)))) |
(+.f64 x (+.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (/.f64 (-.f64 1 x) y) y)) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3))))) |
Compiled 4218 to 3085 computations (26.9% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 234 | 14 | 248 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 236 | 14 | 250 |
| Status | Error | Program |
|---|---|---|
| ▶ | 39.3b | (-.f64 1 (/.f64 y (+.f64 y 1))) |
| 37.9b | x | |
| 30.1b | (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1))) | |
| ▶ | 45.1b | (-.f64 1 (-.f64 1 x)) |
| ▶ | 30.4b | (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) |
| 34.6b | (*.f64 y (/.f64 x (+.f64 1 y))) | |
| ▶ | 14.6b | (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
| 33.7b | (-.f64 1 (-.f64 y (*.f64 y x))) | |
| 22.6b | (fma.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (/.f64 1 (+.f64 1 y)) 1) | |
| 37.9b | (fma.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 1) | |
| 33.7b | (fma.f64 y (+.f64 -1 x) 1) | |
| 40.3b | 1 | |
| 38.8b | (/.f64 (*.f64 y x) (+.f64 1 y)) | |
| ▶ | 30.5b | (+.f64 x (/.f64 (-.f64 1 x) y)) |
Compiled 308 to 227 computations (26.3% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 1 x) (+.f64 1 y)) |
| ✓ | 0.1b | (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) |
| ✓ | 4.3b | (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
Compiled 38 to 26 computations (31.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) (+.f64 1 y)) |
| 0.0ms | y | @ | inf | (/.f64 (-.f64 1 x) (+.f64 1 y)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 x) (+.f64 1 y)) |
| 0.0ms | y | @ | -inf | (/.f64 (-.f64 1 x) (+.f64 1 y)) |
| 1× | batch-egg-rewrite |
| 829× | prod-diff_binary64 |
| 563× | log-prod_binary64 |
| 311× | fma-def_binary64 |
| 201× | pow1/3_binary64 |
| 195× | expm1-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 39 |
| 1 | 212 | 39 |
| 2 | 3226 | 39 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) |
(/.f64 (-.f64 1 x) (+.f64 1 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 (*.f64 (-.f64 1 x) y)) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 x) y)) (+.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (*.f64 (-.f64 1 x) y)) (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))))) (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 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(-.f64 1 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 y))) (cbrt.f64 (/.f64 1 (+.f64 1 y)))) (cbrt.f64 (/.f64 1 (+.f64 1 y))) (neg.f64 (*.f64 (-.f64 1 y) (/.f64 x (-.f64 1 (*.f64 y y)))))) (fma.f64 (neg.f64 (-.f64 1 y)) (/.f64 x (-.f64 1 (*.f64 y y))) (*.f64 (-.f64 1 y) (/.f64 x (-.f64 1 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 y))) (sqrt.f64 (/.f64 1 (+.f64 1 y))) (neg.f64 (*.f64 (-.f64 1 y) (/.f64 x (-.f64 1 (*.f64 y y)))))) (fma.f64 (neg.f64 (-.f64 1 y)) (/.f64 x (-.f64 1 (*.f64 y y))) (*.f64 (-.f64 1 y) (/.f64 x (-.f64 1 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (+.f64 1 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1) 1) (neg.f64 (*.f64 (-.f64 1 y) (/.f64 x (-.f64 1 (*.f64 y y)))))) (fma.f64 (neg.f64 (-.f64 1 y)) (/.f64 x (-.f64 1 (*.f64 y y))) (*.f64 (-.f64 1 y) (/.f64 x (-.f64 1 (*.f64 y y))))))))) (#(struct:change #<rule 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(-.f64 1 x) (/.f64 1 (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 y))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 y))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 y)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 y))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 y))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 y y))) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 y) (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 y) (-.f64 1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 y)) (neg.f64 (/.f64 x (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 y))) (cbrt.f64 (/.f64 1 (+.f64 1 y)))) (cbrt.f64 (/.f64 1 (+.f64 1 y))) (neg.f64 (/.f64 x (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 y))) (sqrt.f64 (/.f64 1 (+.f64 1 y))) (neg.f64 (/.f64 x (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1) 1) (neg.f64 (/.f64 x (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 y y))) (-.f64 1 y) (neg.f64 (/.f64 x (+.f64 1 y)))))))) |
| 1× | egg-herbie |
| 577× | times-frac_binary64 |
| 565× | fma-neg_binary64 |
| 561× | associate--l+_binary64 |
| 451× | associate-+r+_binary64 |
| 390× | associate--r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 1521 |
| 1 | 361 | 1424 |
| 2 | 1244 | 1277 |
| 3 | 5094 | 1156 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 y (+.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
1 |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x)))) |
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x))))) |
x |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x)) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 1 (*.f64 -1 x)) (pow.f64 y 2))) x))) (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x y))) |
x |
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (/.f64 1 (pow.f64 y 2))) |
(/.f64 y (+.f64 1 y)) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(*.f64 y (-.f64 1 x)) |
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1))) |
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))) |
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 x 1))))) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) x)))) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) x)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x))) |
(/.f64 1 (+.f64 1 y)) |
(+.f64 (/.f64 1 (+.f64 1 y)) (*.f64 -1 (/.f64 x (+.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (*.f64 -1 (/.f64 x (+.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (*.f64 -1 (/.f64 x (+.f64 1 y)))) |
(*.f64 -1 (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (*.f64 -1 (/.f64 x (+.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (*.f64 -1 (/.f64 x (+.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (*.f64 -1 (/.f64 x (+.f64 1 y)))) |
(*.f64 -1 (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (*.f64 -1 (/.f64 x (+.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (*.f64 -1 (/.f64 x (+.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (*.f64 -1 (/.f64 x (+.f64 1 y)))) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (*.f64 y (-.f64 x 1))) x) |
(-.f64 (+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x)))) x) |
(-.f64 (+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x))))) x) |
(/.f64 (-.f64 1 x) y) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 y 4)))))) |
(/.f64 (-.f64 1 x) y) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 y 4))))) |
| Outputs |
|---|
(-.f64 1 (/.f64 y (+.f64 1 y))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y)))) |
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 x -1))) |
(-.f64 (+.f64 1 (/.f64 (*.f64 y x) (+.f64 1 y))) (/.f64 y (+.f64 1 y))) |
(+.f64 1 (-.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y)))) |
(-.f64 (fma.f64 (/.f64 y (+.f64 1 y)) x 1) (/.f64 y (+.f64 1 y))) |
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(+.f64 (/.f64 1 (+.f64 1 y)) (/.f64 (neg.f64 x) (+.f64 1 y))) |
(-.f64 (/.f64 1 (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (*.f64 -1 (/.f64 x (+.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (/.f64 (neg.f64 x) (+.f64 1 y))) |
(-.f64 (/.f64 1 (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (*.f64 -1 (/.f64 x (+.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (/.f64 (neg.f64 x) (+.f64 1 y))) |
(-.f64 (/.f64 1 (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(*.f64 -1 (/.f64 x (+.f64 1 y))) |
(/.f64 (neg.f64 x) (+.f64 1 y)) |
(neg.f64 (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (*.f64 -1 (/.f64 x (+.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (/.f64 (neg.f64 x) (+.f64 1 y))) |
(-.f64 (/.f64 1 (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (*.f64 -1 (/.f64 x (+.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (/.f64 (neg.f64 x) (+.f64 1 y))) |
(-.f64 (/.f64 1 (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (*.f64 -1 (/.f64 x (+.f64 1 y)))) |
(+.f64 (/.f64 1 (+.f64 1 y)) (/.f64 (neg.f64 x) (+.f64 1 y))) |
(-.f64 (/.f64 1 (+.f64 1 y)) (/.f64 x (+.f64 1 y))) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (*.f64 y (-.f64 x 1))) x) |
(+.f64 1 (-.f64 (*.f64 y (+.f64 x -1)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1) 1) x) |
(*.f64 (+.f64 x -1) (+.f64 y -1)) |
(-.f64 (+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x)))) x) |
(+.f64 1 (-.f64 (fma.f64 y (+.f64 x -1) (*.f64 (*.f64 y y) (-.f64 1 x))) x)) |
(+.f64 (fma.f64 y (+.f64 x -1) 1) (-.f64 (*.f64 (*.f64 y y) (-.f64 1 x)) x)) |
(-.f64 (fma.f64 y (+.f64 x -1) (fma.f64 y (-.f64 y (*.f64 y x)) 1)) x) |
(fma.f64 y (*.f64 (-.f64 1 x) (+.f64 y -1)) (-.f64 1 x)) |
(-.f64 (+.f64 (*.f64 (pow.f64 y 3) (-.f64 x 1)) (+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x))))) x) |
(-.f64 (fma.f64 (pow.f64 y 3) (+.f64 x -1) (+.f64 1 (fma.f64 y (+.f64 x -1) (*.f64 (*.f64 y y) (-.f64 1 x))))) x) |
(-.f64 (+.f64 (fma.f64 y (+.f64 x -1) (*.f64 (*.f64 y y) (-.f64 1 x))) (fma.f64 (+.f64 x -1) (pow.f64 y 3) 1)) x) |
(+.f64 (*.f64 (+.f64 x -1) (+.f64 y -1)) (*.f64 (*.f64 y y) (*.f64 (+.f64 x -1) (+.f64 y -1)))) |
(*.f64 (fma.f64 y y 1) (*.f64 (+.f64 x -1) (+.f64 y -1))) |
(/.f64 (-.f64 1 x) y) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 1 (*.f64 y y))) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) (/.f64 x y))) |
(-.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) (/.f64 (+.f64 x -1) y)) |
(+.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))) (/.f64 1 (*.f64 y y)))))) |
(+.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (-.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) (/.f64 (+.f64 x -1) y))) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)) (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 y 4)))))) |
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 1 (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 y 4)))))) |
(+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) (-.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 y 4)) (/.f64 1 (*.f64 y y))))))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (+.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (-.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) (/.f64 (+.f64 x -1) y))) (/.f64 -1 (pow.f64 y 4)))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (+.f64 (*.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)) (/.f64 (-.f64 1 x) y)) (/.f64 -1 (pow.f64 y 4)))) |
(/.f64 (-.f64 1 x) y) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 1 (*.f64 y y))) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) (/.f64 x y))) |
(-.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) (/.f64 (+.f64 x -1) y)) |
(+.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(+.f64 (/.f64 1 y) (-.f64 (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (/.f64 1 (*.f64 y y)))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 x (*.f64 y y)) (+.f64 (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3))) (/.f64 1 (*.f64 y y)))))) |
(+.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (-.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) (/.f64 (+.f64 x -1) y))) |
(+.f64 (*.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)) (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))))) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 y 4))))) |
(-.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (/.f64 1 (pow.f64 y 3))) (/.f64 x (pow.f64 y 4))) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 x y) (/.f64 1 (pow.f64 y 4)))))) |
(+.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (*.f64 y y)))) (-.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 x y) (+.f64 (/.f64 1 (pow.f64 y 4)) (/.f64 1 (*.f64 y y))))))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (+.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (-.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) (/.f64 (+.f64 x -1) y))) (/.f64 -1 (pow.f64 y 4)))) |
(+.f64 (/.f64 x (pow.f64 y 4)) (+.f64 (+.f64 (*.f64 (/.f64 (+.f64 x -1) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)) (/.f64 (-.f64 1 x) y)) (/.f64 -1 (pow.f64 y 4)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.0b | (-.f64 1 (-.f64 1 x)) |
Compiled 12 to 9 computations (25% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (-.f64 1 (-.f64 1 x)) |
| 0.0ms | x | @ | 0 | (-.f64 1 (-.f64 1 x)) |
| 0.0ms | x | @ | -inf | (-.f64 1 (-.f64 1 x)) |
| 1× | batch-egg-rewrite |
| 567× | pow1_binary64 |
| 534× | add-log-exp_binary64 |
| 534× | log1p-expm1-u_binary64 |
| 534× | expm1-log1p-u_binary64 |
| 526× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 4 |
| 1 | 114 | 1 |
| 2 | 1585 | 1 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (-.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (expm1.f64 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))) (-.f64 1 (pow.f64 (-.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3)) (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2)) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 1 (*.f64 (-.f64 1 x) (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 1 x) 2))) (neg.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (log.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (expm1.f64 (log.f64 x)) (expm1.f64 (log.f64 x))) (expm1.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 x 3)) (+.f64 0 (-.f64 (*.f64 x x) (*.f64 0 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (expm1.f64 (log.f64 x)) (expm1.f64 (log.f64 x)))) (-.f64 1 (expm1.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1 | 12 |
| 1× | saturated |
| Inputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
| Outputs |
|---|
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (/.f64 (-.f64 1 x) y)) |
| ✓ | 0.0b | (/.f64 (-.f64 1 x) y) |
Compiled 20 to 12 computations (40% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (/.f64 (-.f64 1 x) y) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) y) |
| 1.0ms | x | @ | 0 | (+.f64 x (/.f64 (-.f64 1 x) y)) |
| 0.0ms | y | @ | 0 | (+.f64 x (/.f64 (-.f64 1 x) y)) |
| 0.0ms | x | @ | inf | (+.f64 x (/.f64 (-.f64 1 x) y)) |
| 1× | batch-egg-rewrite |
| 964× | prod-diff_binary64 |
| 617× | unpow-prod-down_binary64 |
| 398× | log-prod_binary64 |
| 259× | fma-def_binary64 |
| 222× | pow2_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 159 | 17 |
| 2 | 2397 | 17 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) y) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) y) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) y) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y))) (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 y) (neg.f64 (*.f64 (/.f64 x y) 1))) (fma.f64 (neg.f64 (/.f64 x y)) 1 (*.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 y)) 2) (cbrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 x y) 1))) (fma.f64 (neg.f64 (/.f64 x y)) 1 (*.f64 (/.f64 x y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 y)) (sqrt.f64 (/.f64 1 y)) (neg.f64 (*.f64 (/.f64 x y) 1))) (fma.f64 (neg.f64 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| 1× | egg-herbie |
| 258× | fma-neg_binary64 |
| 229× | fma-def_binary64 |
| 44× | distribute-rgt-in_binary64 |
| 39× | cancel-sign-sub-inv_binary64 |
| 37× | sub-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 450 |
| 1 | 47 | 364 |
| 2 | 94 | 286 |
| 3 | 187 | 286 |
| 4 | 353 | 286 |
| 5 | 654 | 286 |
| 6 | 1010 | 286 |
| 7 | 1142 | 286 |
| 8 | 1156 | 286 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))) |
(/.f64 (-.f64 1 x) y) |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
x |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
x |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(/.f64 (-.f64 1 x) y) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(/.f64 (-.f64 1 x) y) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(/.f64 (-.f64 1 x) y) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(*.f64 x (+.f64 1 (/.f64 -1 y))) |
(-.f64 x (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(*.f64 x (+.f64 1 (/.f64 -1 y))) |
(-.f64 x (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x))) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(/.f64 (-.f64 1 x) y) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
x |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
x |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (*.f64 x (-.f64 1 (/.f64 1 y)))) |
(fma.f64 x (+.f64 1 (/.f64 -1 y)) (/.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 3.7b | (-.f64 1 (/.f64 y (+.f64 y 1))) |
Compiled 19 to 13 computations (31.6% saved)
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | inf | (-.f64 1 (/.f64 y (+.f64 y 1))) |
| 0.0ms | y | @ | 0 | (-.f64 1 (/.f64 y (+.f64 y 1))) |
| 0.0ms | y | @ | -inf | (-.f64 1 (/.f64 y (+.f64 y 1))) |
| 1× | batch-egg-rewrite |
| 812× | pow1_binary64 |
| 760× | log1p-expm1-u_binary64 |
| 760× | expm1-log1p-u_binary64 |
| 759× | add-log-exp_binary64 |
| 745× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 10 |
| 1 | 138 | 10 |
| 2 | 2016 | 10 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 y (+.f64 y 1))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 (neg.f64 y) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (/.f64 (neg.f64 y) (+.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 y) (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (sqrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 y (+.f64 1 y)) (pow.f64 (/.f64 y (+.f64 1 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 2)) (/.f64 1 (+.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 y (+.f64 1 y)) (pow.f64 (/.f64 y (+.f64 1 y)) 2))) (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 y (+.f64 1 y))) (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 3)) (+.f64 1 (+.f64 (/.f64 y (+.f64 1 y)) (pow.f64 (/.f64 y (+.f64 1 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 2)) (+.f64 1 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 y (+.f64 1 y)) (pow.f64 (/.f64 y (+.f64 1 y)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 1 y)) 2))) (neg.f64 (+.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 (neg.f64 y) (+.f64 1 y)) 3)) (+.f64 1 (-.f64 (*.f64 (/.f64 (neg.f64 y) (+.f64 1 y)) (/.f64 (neg.f64 y) (+.f64 1 y))) (/.f64 (neg.f64 y) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (/.f64 (neg.f64 y) (+.f64 1 y)) (/.f64 (neg.f64 y) (+.f64 1 y)))) (-.f64 1 (/.f64 (neg.f64 y) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y)))))))) |
| 1× | egg-herbie |
| 744× | fma-def_binary64 |
| 660× | associate-*l*_binary64 |
| 562× | fma-neg_binary64 |
| 449× | cancel-sign-sub-inv_binary64 |
| 344× | associate-/r*_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 178 |
| 1 | 69 | 171 |
| 2 | 180 | 167 |
| 3 | 566 | 165 |
| 4 | 1965 | 164 |
| 5 | 7370 | 164 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 1 (*.f64 -1 y)) |
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y))) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y)))) |
(/.f64 1 y) |
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4)))) |
(/.f64 1 y) |
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4)))) |
| Outputs |
|---|
1 |
(+.f64 1 (*.f64 -1 y)) |
(+.f64 1 (neg.f64 y)) |
(-.f64 1 y) |
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y))) |
(+.f64 1 (+.f64 (neg.f64 y) (*.f64 y y))) |
(+.f64 1 (-.f64 (*.f64 y y) y)) |
(fma.f64 y y (-.f64 1 y)) |
(-.f64 (fma.f64 y y 1) y) |
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y)))) |
(+.f64 1 (fma.f64 -1 (pow.f64 y 3) (+.f64 (neg.f64 y) (*.f64 y y)))) |
(+.f64 1 (-.f64 (-.f64 (*.f64 y y) y) (pow.f64 y 3))) |
(-.f64 (fma.f64 y y (-.f64 1 y)) (pow.f64 y 3)) |
(fma.f64 y (-.f64 y (fma.f64 y y 1)) 1) |
(*.f64 (-.f64 1 y) (fma.f64 y y 1)) |
(/.f64 1 y) |
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 -1 (*.f64 y y))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4)))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4)))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 -1 (pow.f64 y 4)) (/.f64 1 (*.f64 y y))))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 -1 (*.f64 y y)) (-.f64 (/.f64 1 (pow.f64 y 4)) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 4))))) |
(/.f64 1 y) |
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 -1 (*.f64 y y))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4)))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4)))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 -1 (pow.f64 y 4)) (/.f64 1 (*.f64 y y))))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 -1 (*.f64 y y)) (-.f64 (/.f64 1 (pow.f64 y 4)) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 4))))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) |
| ✓ | 0.0b | (/.f64 (+.f64 -1 x) y) |
| ✓ | 0.1b | (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)) |
Compiled 46 to 32 computations (30.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)) |
| 1.0ms | y | @ | -inf | (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)) |
| 1× | batch-egg-rewrite |
| 624× | log-prod_binary64 |
| 482× | fma-def_binary64 |
| 338× | pow2_binary64 |
| 245× | fma-neg_binary64 |
| 240× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 1 | 252 | 40 |
| 2 | 3882 | 40 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)) |
(/.f64 (+.f64 -1 x) y) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) |
| Outputs |
|---|
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(/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 -1 (/.f64 1 y)))) (sqrt.f64 (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 -1 (/.f64 1 y)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 -1 x) (+.f64 -1 (/.f64 1 y))) (/.f64 1 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (+.f64 -1 x) y) y)) 2) (cbrt.f64 (/.f64 (/.f64 (+.f64 -1 x) y) y)) (fma.f64 -1 (/.f64 (+.f64 -1 x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 -1 x) y) y)) (sqrt.f64 (/.f64 (/.f64 (+.f64 -1 x) y) y)) (fma.f64 -1 (/.f64 (+.f64 -1 x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 -1 x) (sqrt.f64 y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (sqrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 -1 x) 1) (/.f64 (+.f64 -1 (/.f64 1 y)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 -1 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 -1 (/.f64 1 y)) (cbrt.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)) (pow.f64 y -1/2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)) (pow.f64 y -1/2)) (fma.f64 -1 (/.f64 (+.f64 -1 x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 y -1/2) (sqrt.f64 (/.f64 (+.f64 -1 x) y))) (*.f64 (pow.f64 y -1/2) (sqrt.f64 (/.f64 (+.f64 -1 x) y))) (fma.f64 -1 (/.f64 (+.f64 -1 x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 -1 x) y) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)) (fma.f64 -1 (/.f64 (+.f64 -1 x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 -1 x) y) (pow.f64 y -1/2)) (pow.f64 y -1/2) (fma.f64 -1 (/.f64 (+.f64 -1 x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2)) (cbrt.f64 (/.f64 (+.f64 -1 x) y)) (fma.f64 -1 (/.f64 (+.f64 -1 x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 y) (sqrt.f64 (/.f64 (+.f64 -1 x) y))) (sqrt.f64 (/.f64 (+.f64 -1 x) y)) (fma.f64 -1 (/.f64 (+.f64 -1 x) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 -1 x) y) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 2)) (cbrt.f64 (+.f64 -1 (/.f64 1 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 -1 x) y) (sqrt.f64 (+.f64 -1 (/.f64 1 y)))) (sqrt.f64 (+.f64 -1 (/.f64 1 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) 2)) (cbrt.f64 (/.f64 (+.f64 -1 x) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 -1 (/.f64 1 y)) (sqrt.f64 (/.f64 (+.f64 -1 x) y))) (sqrt.f64 (/.f64 (+.f64 -1 x) y)) x))))) |
| 1× | egg-herbie |
| 668× | div-sub_binary64 |
| 606× | times-frac_binary64 |
| 330× | fma-def_binary64 |
| 305× | associate-*l/_binary64 |
| 304× | associate-/l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 1321 |
| 1 | 112 | 1124 |
| 2 | 287 | 880 |
| 3 | 858 | 840 |
| 4 | 2845 | 840 |
| 5 | 7652 | 840 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(*.f64 -1 (/.f64 (-.f64 x 1) y)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(*.f64 -1 (/.f64 (-.f64 x 1) y)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(/.f64 -1 y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (-.f64 x 1) y) |
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x)) |
(*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) x) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) x)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) x)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) 1) x)) |
(+.f64 (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) 1) x))) |
(+.f64 (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) 1) x))) |
(+.f64 (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y))) (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) 1) x))) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2))) |
x |
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2))) |
x |
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y)) |
(neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y)) |
(/.f64 (+.f64 (/.f64 -1 y) 1) y) |
(/.f64 (+.f64 1 (/.f64 -1 y)) y) |
(/.f64 (-.f64 1 (/.f64 1 y)) y) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y))) |
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y)) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y)) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 y)) y) (-.f64 1 x)) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y))) |
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y)) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y)) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 y)) y) (-.f64 1 x)) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)) x) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y))) |
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y)) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y)) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 y)) y) (-.f64 1 x)) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 x (/.f64 y (+.f64 -1 (/.f64 1 y)))) |
(/.f64 (+.f64 (/.f64 x y) (neg.f64 x)) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y))) |
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y)) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y)) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 y)) y) (-.f64 1 x)) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y))) |
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y)) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y)) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 y)) y) (-.f64 1 x)) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) 1) y))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y))) |
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y)) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y)) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 y)) y) (-.f64 1 x)) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 x (/.f64 y (+.f64 -1 (/.f64 1 y)))) |
(/.f64 (+.f64 (/.f64 x y) (neg.f64 x)) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y))) |
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y)) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y)) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 y)) y) (-.f64 1 x)) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 y)))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)) x (neg.f64 (/.f64 (+.f64 (/.f64 1 y) -1) y))) |
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) x (/.f64 (+.f64 (/.f64 -1 y) 1) y)) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 (+.f64 -1 x) y)) |
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(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y)) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))) |
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2))) |
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))))) |
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y)) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))) |
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x) |
x |
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) |
(fma.f64 -1 (/.f64 (+.f64 x -1) y) x) |
(-.f64 x (/.f64 (+.f64 -1 x) y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2))) |
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))))) |
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y)) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))) |
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x)) (/.f64 1 (pow.f64 y 2))) |
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1 y) -1) y) (*.f64 x (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))))) |
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) (/.f64 (+.f64 (/.f64 -1 y) 1) y)) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x))) |
(fma.f64 (/.f64 (+.f64 -1 (/.f64 1 y)) y) (+.f64 -1 x) x) |
Compiled 16326 to 11235 computations (31.2% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 729 | 15 | 744 |
| Fresh | 6 | 3 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 738 | 20 | 758 |
| Status | Error | Program |
|---|---|---|
| 55.0b | (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) | |
| ✓ | 39.3b | (-.f64 1 (/.f64 y (+.f64 y 1))) |
| 37.9b | x | |
| 30.4b | (+.f64 x (/.f64 1 y)) | |
| 54.6b | (/.f64 1 y) | |
| 43.1b | (fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 1) | |
| ▶ | 40.4b | (-.f64 1 y) |
| 40.3b | 1 | |
| 38.0b | (-.f64 x (/.f64 x y)) | |
| 38.8b | (/.f64 (*.f64 y x) (+.f64 1 y)) | |
| ▶ | 34.6b | (*.f64 y (/.f64 x (+.f64 1 y))) |
| 54.9b | (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 4))))) | |
| ▶ | 54.9b | (-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4)))) |
| 33.7b | (-.f64 1 (-.f64 y (*.f64 y x))) | |
| ▶ | 30.1b | (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1))) |
| ▶ | 14.6b | (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) (neg.f64 y) 1) |
| 33.7b | (fma.f64 y (+.f64 x -1) 1) | |
| 30.1b | (+.f64 (-.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (-.f64 (/.f64 -1 y) -1))) (/.f64 (-.f64 1 x) (pow.f64 y 3))) | |
| 30.6b | (+.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 x))) 2) -1) (cbrt.f64 (/.f64 (-.f64 1 x) y)))) | |
| ✓ | 14.6b | (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
Compiled 470 to 350 computations (25.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (-.f64 1 x) (+.f64 1 y)) | |
| ✓ | 14.6b | (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) (neg.f64 y) 1) |
Compiled 31 to 20 computations (35.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) (neg.f64 y) 1) |
| 1.0ms | x | @ | 0 | (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) (neg.f64 y) 1) |
| 1.0ms | y | @ | -inf | (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) (neg.f64 y) 1) |
| 0.0ms | y | @ | 0 | (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) (neg.f64 y) 1) |
| 0.0ms | y | @ | inf | (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) (neg.f64 y) 1) |
| 1× | batch-egg-rewrite |
| 470× | prod-diff_binary64 |
| 454× | log-prod_binary64 |
| 274× | pow-prod-down_binary64 |
| 245× | pow2_binary64 |
| 212× | fma-def_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 16 |
| 1 | 201 | 14 |
| 2 | 2934 | 14 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) (neg.f64 y) 1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)) 2) (cbrt.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)) (sqrt.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y))) 3) 1) (+.f64 (pow.f64 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y))) 2) (-.f64 1 (*.f64 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y))) 2) 1) (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 1 y)))) 1) 1)))))) |
| 1× | egg-herbie |
| 547× | times-frac_binary64 |
| 414× | sub-neg_binary64 |
| 358× | associate-+l+_binary64 |
| 357× | unsub-neg_binary64 |
| 330× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 534 |
| 1 | 190 | 474 |
| 2 | 680 | 345 |
| 3 | 3708 | 337 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 x 1))))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 x 1)))))) |
(+.f64 1 (*.f64 -1 (-.f64 1 x))) |
(+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 x 1) y)))) |
(+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))) |
(+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))) |
(+.f64 1 (*.f64 -1 (-.f64 1 x))) |
(+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 x 1) y)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 x 1) y))))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))))) (/.f64 1 (pow.f64 y 2))) |
| Outputs |
|---|
(+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (neg.f64 (/.f64 y (+.f64 1 y)))) |
(-.f64 1 (/.f64 y (+.f64 1 y))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 y (/.f64 (+.f64 1 y) x)) |
(*.f64 (/.f64 y (+.f64 1 y)) x) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 y (/.f64 (+.f64 1 y) x)) |
(*.f64 (/.f64 y (+.f64 1 y)) x) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (neg.f64 (/.f64 y (+.f64 1 y))) (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 1 y)) x) (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 1 y)) (+.f64 -1 x))) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (neg.f64 (*.f64 y (-.f64 1 x)))) |
(-.f64 1 (*.f64 y (-.f64 1 x))) |
(fma.f64 y (+.f64 -1 x) 1) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 x 1))))) |
(+.f64 1 (fma.f64 -1 (*.f64 y (-.f64 1 x)) (neg.f64 (*.f64 (*.f64 y y) (+.f64 x -1))))) |
(fma.f64 -1 (fma.f64 y (-.f64 1 x) (*.f64 y (*.f64 y (-.f64 x 1)))) 1) |
(+.f64 1 (*.f64 (-.f64 1 x) (-.f64 (*.f64 y y) y))) |
(+.f64 1 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y -1))) |
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y (-.f64 1 x))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (-.f64 1 x))) (*.f64 -1 (*.f64 (pow.f64 y 2) (-.f64 x 1)))))) |
(+.f64 1 (fma.f64 -1 (*.f64 y (-.f64 1 x)) (fma.f64 -1 (*.f64 (-.f64 1 x) (pow.f64 y 3)) (neg.f64 (*.f64 (*.f64 y y) (+.f64 x -1)))))) |
(+.f64 1 (+.f64 (*.f64 (-.f64 1 x) (*.f64 y y)) (*.f64 (-.f64 1 x) (+.f64 (neg.f64 y) (neg.f64 (pow.f64 y 3)))))) |
(+.f64 1 (*.f64 (-.f64 1 x) (+.f64 (-.f64 (neg.f64 y) (pow.f64 y 3)) (*.f64 y y)))) |
(+.f64 1 (*.f64 (-.f64 y (*.f64 y x)) (+.f64 y (-.f64 -1 (*.f64 y y))))) |
(+.f64 1 (*.f64 -1 (-.f64 1 x))) |
(+.f64 1 (neg.f64 (-.f64 1 x))) |
(-.f64 1 (-.f64 1 x)) |
x |
(+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 x 1) y)))) |
(+.f64 1 (*.f64 -1 (+.f64 (-.f64 1 x) (/.f64 (+.f64 x -1) y)))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 x))) |
(-.f64 x (/.f64 (+.f64 -1 x) y)) |
(+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2)))))) |
(+.f64 1 (fma.f64 -1 (-.f64 1 x) (fma.f64 -1 (/.f64 (+.f64 x -1) y) (/.f64 (neg.f64 (-.f64 1 x)) (*.f64 y y))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 y y)))) |
(+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y))) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (-.f64 -1 (/.f64 -1 y)))) |
(+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) (*.f64 -1 (/.f64 (-.f64 1 x) (pow.f64 y 2))))))) |
(+.f64 1 (fma.f64 -1 (-.f64 1 x) (fma.f64 -1 (/.f64 (+.f64 x -1) y) (*.f64 -1 (+.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))))))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 x)) (-.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))))) |
(+.f64 (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y)) (+.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) x)) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) |
(+.f64 1 (*.f64 -1 (-.f64 1 x))) |
(+.f64 1 (neg.f64 (-.f64 1 x))) |
(-.f64 1 (-.f64 1 x)) |
x |
(+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 x 1) y)))) |
(+.f64 1 (*.f64 -1 (+.f64 (-.f64 1 x) (/.f64 (+.f64 x -1) y)))) |
(+.f64 1 (-.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 x))) |
(-.f64 x (/.f64 (+.f64 -1 x) y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 x 1) y))))) (/.f64 1 (pow.f64 y 2))) |
(+.f64 1 (fma.f64 -1 (-.f64 1 x) (fma.f64 -1 (/.f64 (+.f64 x -1) y) (/.f64 (neg.f64 (-.f64 1 x)) (*.f64 y y))))) |
(+.f64 1 (-.f64 (-.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 y y)))) |
(+.f64 x (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y))) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (-.f64 -1 (/.f64 -1 y)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))))) (/.f64 1 (pow.f64 y 2))) |
(+.f64 1 (fma.f64 -1 (-.f64 1 x) (fma.f64 -1 (/.f64 (+.f64 x -1) y) (*.f64 -1 (+.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))))))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 x)) (-.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))))) |
(+.f64 (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 (-.f64 1 x) y)) (+.f64 (/.f64 (-.f64 1 x) (pow.f64 y 3)) x)) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) |
Compiled 7 to 5 computations (28.6% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 7.7b | (*.f64 y (/.f64 x (+.f64 1 y))) |
Compiled 20 to 12 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (*.f64 y (/.f64 x (+.f64 1 y))) |
| 1.0ms | x | @ | 0 | (*.f64 y (/.f64 x (+.f64 1 y))) |
| 1.0ms | y | @ | 0 | (*.f64 y (/.f64 x (+.f64 1 y))) |
| 0.0ms | x | @ | -inf | (*.f64 y (/.f64 x (+.f64 1 y))) |
| 0.0ms | y | @ | inf | (*.f64 y (/.f64 x (+.f64 1 y))) |
| 1× | batch-egg-rewrite |
| 833× | pow1_binary64 |
| 775× | add-log-exp_binary64 |
| 775× | log1p-expm1-u_binary64 |
| 775× | expm1-log1p-u_binary64 |
| 759× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 149 | 10 |
| 2 | 2062 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y (/.f64 x (+.f64 1 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (/.f64 x (+.f64 y 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (+.f64 y 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y 1) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y x) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y x)) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) 1) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y x) (sqrt.f64 (+.f64 y 1))) (sqrt.f64 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) y) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 x)) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (/.f64 x (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (/.f64 x (+.f64 y 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (/.f64 x (+.f64 y 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (/.f64 x (+.f64 y 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (/.f64 x (+.f64 y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (/.f64 x (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (/.f64 x (+.f64 y 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 x (+.f64 y 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 x (+.f64 y 1)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (/.f64 x (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (/.f64 x (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y x)) (log1p.f64 y))))))) |
| 1× | egg-herbie |
| 707× | fma-def_binary64 |
| 459× | times-frac_binary64 |
| 414× | distribute-lft-out--_binary64 |
| 376× | distribute-rgt-neg-in_binary64 |
| 347× | distribute-lft-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 294 |
| 1 | 94 | 281 |
| 2 | 254 | 270 |
| 3 | 923 | 257 |
| 4 | 4169 | 250 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x))) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x))))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
| Outputs |
|---|
(*.f64 y x) |
(+.f64 (*.f64 y x) (*.f64 -1 (*.f64 (pow.f64 y 2) x))) |
(fma.f64 y x (neg.f64 (*.f64 x (*.f64 y y)))) |
(*.f64 x (+.f64 (neg.f64 (*.f64 y y)) y)) |
(*.f64 y (-.f64 x (*.f64 y x))) |
(*.f64 x (fma.f64 y (neg.f64 y) y)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 (pow.f64 y 3) x))) |
(fma.f64 y x (fma.f64 -1 (*.f64 x (*.f64 y y)) (*.f64 x (pow.f64 y 3)))) |
(fma.f64 y x (*.f64 x (+.f64 (neg.f64 (*.f64 y y)) (pow.f64 y 3)))) |
(*.f64 x (+.f64 y (*.f64 (*.f64 y y) (+.f64 -1 y)))) |
(*.f64 x (fma.f64 (*.f64 y y) (+.f64 y -1) y)) |
(+.f64 (*.f64 y x) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 (pow.f64 y 3) x) (*.f64 -1 (*.f64 (pow.f64 y 4) x))))) |
(fma.f64 y x (fma.f64 -1 (*.f64 x (*.f64 y y)) (fma.f64 (pow.f64 y 3) x (neg.f64 (*.f64 x (pow.f64 y 4)))))) |
(fma.f64 y x (-.f64 (*.f64 x (+.f64 (neg.f64 (*.f64 y y)) (pow.f64 y 3))) (*.f64 x (pow.f64 y 4)))) |
(*.f64 x (+.f64 (-.f64 y (*.f64 y y)) (-.f64 (pow.f64 y 3) (pow.f64 y 4)))) |
(*.f64 x (*.f64 (fma.f64 y y 1) (fma.f64 y (neg.f64 y) y))) |
(*.f64 (-.f64 x (*.f64 y x)) (+.f64 y (pow.f64 y 3))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(fma.f64 -1 (/.f64 x y) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))) |
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) |
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))) |
(-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) |
(+.f64 (-.f64 x (/.f64 x y)) (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x (/.f64 x (*.f64 y y)))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(fma.f64 -1 (/.f64 x y) x) |
(-.f64 x (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))) |
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) |
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+.f64 (*.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))) |
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))) |
(-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3))) |
(+.f64 (-.f64 x (/.f64 x y)) (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x (/.f64 x (*.f64 y y)))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(*.f64 x (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(*.f64 x (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(*.f64 x (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(*.f64 x (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(*.f64 x (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(*.f64 x (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(*.f64 x (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(*.f64 x (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(*.f64 x (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(*.f64 x (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(*.f64 x (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(*.f64 x (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 y 1))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (-.f64 1 x) y) | |
| ✓ | 0.0b | (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1))) |
| ✓ | 0.1b | (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)) |
| ✓ | 3.6b | (/.f64 (+.f64 -1 x) (*.f64 y y)) |
Compiled 76 to 46 computations (39.5% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (/.f64 (+.f64 -1 x) (*.f64 y y)) |
| 2.0ms | x | @ | -inf | (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)) |
| 1.0ms | x | @ | 0 | (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)) |
| 1.0ms | x | @ | inf | (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1))) |
| 1× | batch-egg-rewrite |
| 516× | fma-neg_binary64 |
| 314× | expm1-udef_binary64 |
| 314× | log1p-udef_binary64 |
| 191× | add-sqr-sqrt_binary64 |
| 187× | *-un-lft-identity_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 60 |
| 1 | 362 | 58 |
| 2 | 6033 | 58 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)) |
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1))) |
| Outputs |
|---|
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y) (+.f64 x (/.f64 (-.f64 1 x) y))))))) |
| 1× | egg-herbie |
| 684× | unsub-neg_binary64 |
| 588× | associate-+l-_binary64 |
| 440× | associate--l+_binary64 |
| 351× | div-sub_binary64 |
| 326× | +-commutative_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 1765 |
| 1 | 173 | 1634 |
| 2 | 548 | 1364 |
| 3 | 1973 | 1174 |
| 4 | 7173 | 1174 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 y 2)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(/.f64 x (pow.f64 y 2)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(/.f64 x (pow.f64 y 2)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) |
(*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2))))) |
(+.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2))))) |
(+.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2))))) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2))))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2))))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2))))) |
(*.f64 -1 (*.f64 (-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) 1) x)) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) 1) x)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) 1) x)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))))) |
(+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) 1) x)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3)))))) |
(*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
x |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
x |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 (pow.f64 y 2))) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2))) |
(neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y))) |
(/.f64 (neg.f64 (+.f64 1 (/.f64 -1 y))) (*.f64 y y)) |
(/.f64 (/.f64 (-.f64 (/.f64 1 y) 1) y) y) |
(/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y)) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))) |
(-.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))) |
(-.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))) x) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))) |
(-.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) |
(/.f64 (-.f64 1 (/.f64 1 y)) (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))) |
(-.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))) |
(-.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 1 (/.f64 1 y)) (pow.f64 y 2)))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))) |
(-.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) |
(/.f64 (-.f64 1 (/.f64 1 y)) (/.f64 (*.f64 y y) x)) |
(*.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))) |
(-.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))) |
(-.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(+.f64 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) (pow.f64 y 2)) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 3))))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))) |
(-.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) |
(neg.f64 (/.f64 (+.f64 x -1) (pow.f64 y 3))) |
(/.f64 (neg.f64 (+.f64 -1 x)) (pow.f64 y 3)) |
(/.f64 (fma.f64 -1 x 1) (pow.f64 y 3)) |
(/.f64 (-.f64 1 x) (pow.f64 y 3)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))) |
(-.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(fma.f64 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 3))) x (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y)))) |
(-.f64 (*.f64 x (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(*.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (+.f64 -1 x)) |
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
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(-.f64 (+.f64 x (/.f64 (+.f64 -1 x) (*.f64 y y))) (/.f64 (+.f64 -1 x) y)) |
(+.f64 x (-.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (+.f64 -1 x) y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(fma.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))) x (+.f64 (/.f64 1 y) (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y))))) |
(fma.f64 x (+.f64 1 (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (/.f64 1 y))) (-.f64 (/.f64 1 y) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)))) |
(fma.f64 x (+.f64 1 (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 (/.f64 (-.f64 (/.f64 1 y) 1) y) y))) |
(+.f64 x (fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y))) |
x |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y))) |
(+.f64 x (-.f64 (/.f64 1 y) (/.f64 x y))) |
(-.f64 x (/.f64 (+.f64 -1 x) y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x)) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 x (/.f64 x (*.f64 y y)))) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x y))) |
(+.f64 (+.f64 x (/.f64 x (*.f64 y y))) (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x y)))) |
(-.f64 (+.f64 x (/.f64 (+.f64 -1 x) (*.f64 y y))) (/.f64 (+.f64 -1 x) y)) |
(+.f64 x (-.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (+.f64 -1 x) y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) x))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(fma.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))) x (+.f64 (/.f64 1 y) (neg.f64 (/.f64 (-.f64 1 (/.f64 1 y)) (*.f64 y y))))) |
(fma.f64 x (+.f64 1 (-.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (/.f64 1 y))) (-.f64 (/.f64 1 y) (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)))) |
(fma.f64 x (+.f64 1 (+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (*.f64 y y)) (/.f64 -1 y))) (+.f64 (/.f64 1 y) (/.f64 (/.f64 (-.f64 (/.f64 1 y) 1) y) y))) |
(+.f64 x (fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.f64 (-.f64 1 x) y))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 1 (pow.f64 y 3)) |
| ✓ | 0.2b | (/.f64 1 (pow.f64 y 4)) |
| ✓ | 0.3b | (/.f64 1 (pow.f64 y 2)) |
| ✓ | 9.5b | (-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4)))) |
Compiled 75 to 59 computations (21.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4)))) |
| 1.0ms | y | @ | 0 | (/.f64 1 (pow.f64 y 3)) |
| 1.0ms | y | @ | 0 | (/.f64 1 (pow.f64 y 4)) |
| 1.0ms | y | @ | 0 | (/.f64 1 (pow.f64 y 2)) |
| 1.0ms | y | @ | -inf | (/.f64 1 (pow.f64 y 3)) |
| 1× | batch-egg-rewrite |
| 730× | fma-neg_binary64 |
| 271× | expm1-udef_binary64 |
| 271× | log1p-udef_binary64 |
| 190× | add-sqr-sqrt_binary64 |
| 183× | pow1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 34 |
| 1 | 396 | 34 |
| 2 | 5970 | 34 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4)))) |
(/.f64 1 (pow.f64 y 2)) |
(/.f64 1 (pow.f64 y 4)) |
(/.f64 1 (pow.f64 y 3)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 y -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 y -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -3/2) (pow.f64 y -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) -3) (pow.f64 (cbrt.f64 y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 y) -3) (pow.f64 (sqrt.f64 y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y 3/2) -1) (pow.f64 (pow.f64 y 3/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y -1/2) 3) (pow.f64 (pow.f64 y -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 y) 3/2) (pow.f64 (/.f64 1 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 y -2) (cbrt.f64 (pow.f64 y -2))) (/.f64 1 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 y -2) (pow.f64 y -1/2)) (pow.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y -9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 y -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y -9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 y -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -3 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 y) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 y)) 3)))))) |
| 1× | egg-herbie |
| 710× | div-sub_binary64 |
| 639× | associate-/r/_binary64 |
| 437× | distribute-neg-frac_binary64 |
| 429× | fma-neg_binary64 |
| 420× | associate-/r*_binary64 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 126 |
| 1 | 48 | 126 |
| 2 | 88 | 126 |
| 3 | 209 | 126 |
| 4 | 661 | 124 |
| 5 | 3443 | 120 |
| 6 | 7105 | 108 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 y 4)) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4)))) |
(/.f64 1 y) |
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2))) |
(/.f64 1 y) |
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2))) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 y 4)) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 4))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (pow.f64 y 4))) |
(/.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 y 3)) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4)))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 4)) (/.f64 1 (*.f64 y y)))) |
(+.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) (/.f64 -1 (pow.f64 y 4))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 4)))) |
(fma.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) |
(+.f64 (/.f64 (+.f64 1 (/.f64 -1 y)) (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) |
(/.f64 1 y) |
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) |
(-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)) |
(/.f64 (+.f64 1 (/.f64 -1 y)) y) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 1 (/.f64 -1 y)) y)) |
(/.f64 1 y) |
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) |
(-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)) |
(/.f64 (+.f64 1 (/.f64 -1 y)) y) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (+.f64 1 (/.f64 -1 y)) y)) |
Compiled 20305 to 14201 computations (30.1% saved)
22 alts after pruning (18 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 693 | 10 | 703 |
| Fresh | 5 | 8 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 4 | 6 |
| Total | 701 | 22 | 723 |
| Status | Error | Program |
|---|---|---|
| 54.6b | (/.f64 1 y) | |
| ▶ | 30.1b | (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) |
| 54.8b | (+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) | |
| ▶ | 33.7b | (-.f64 1 (-.f64 y (*.f64 y x))) |
| 58.1b | (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 y) (-.f64 (-.f64 (pow.f64 y -3) (pow.f64 y -2)) (pow.f64 y -4))) 3)) | |
| ✓ | 39.3b | (-.f64 1 (/.f64 y (+.f64 y 1))) |
| 38.0b | (-.f64 x (/.f64 x y)) | |
| 37.9b | x | |
| 30.4b | (+.f64 x (/.f64 1 y)) | |
| ✓ | 40.4b | (-.f64 1 y) |
| 40.3b | 1 | |
| 54.9b | (-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 (/.f64 1 y) (/.f64 1 y)) (/.f64 1 (pow.f64 y 4)))) | |
| ▶ | 55.8b | (*.f64 y x) |
| ✓ | 34.6b | (*.f64 y (/.f64 x (+.f64 1 y))) |
| ✓ | 14.6b | (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
| 39.2b | (fma.f64 (/.f64 1 (+.f64 1 y)) (neg.f64 y) 1) | |
| 54.9b | (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 4))))) | |
| ▶ | 43.1b | (fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 1) |
| 38.8b | (/.f64 (*.f64 y x) (+.f64 y 1)) | |
| ▶ | 33.7b | (fma.f64 y (+.f64 x -1) 1) |
| 30.6b | (+.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 x))) 2) -1) (cbrt.f64 (/.f64 (-.f64 1 x) y)))) | |
| 55.0b | (/.f64 (+.f64 1 (/.f64 -1 y)) y) |
Compiled 482 to 362 computations (24.9% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (+.f64 -1 x) y) | |
| ✓ | 0.0b | (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))) |
| ✓ | 0.1b | (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y)))) |
| ✓ | 0.1b | (/.f64 (/.f64 -1 y) y) |
Compiled 79 to 54 computations (31.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (/.f64 (/.f64 -1 y) y) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y)))) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y)))) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y)))) |
| 1.0ms | y | @ | 0 | (/.f64 (/.f64 -1 y) y) |
| 1× | batch-egg-rewrite |
| 624× | fma-def_binary64 |
| 388× | fma-neg_binary64 |
| 333× | log-div_binary64 |
| 238× | expm1-udef_binary64 |
| 238× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 48 |
| 1 | 304 | 39 |
| 2 | 5123 | 39 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 -1 y) y) |
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y)))) |
(+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))) |
| Outputs |
|---|
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(expm1.f64 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 y -2)))) (+.f64 1 (expm1.f64 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 -1 (pow.f64 y -2))) (/.f64 1 (exp.f64 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (pow.f64 y -2)))) (/.f64 1 (exp.f64 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 y -2)) (exp.f64 (+.f64 -1 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 y -2))) (exp.f64 (+.f64 -1 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 -1 (/.f64 -1 y))) (+.f64 1 (expm1.f64 (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (+.f64 (pow.f64 y -2) (/.f64 -1 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (+.f64 (pow.f64 y -2) (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (+.f64 (pow.f64 y -2) (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (+.f64 (pow.f64 y -2) (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1 (+.f64 (pow.f64 y -2) (/.f64 -1 y)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -1 y) (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 y -2) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -1 y) (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 -1 (pow.f64 y -2)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 y -2) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 -1 (/.f64 -1 y)) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 y) -1 (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 y) 1 (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 y) (/.f64 -1 y) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -1 (pow.f64 y -2)) 1 (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -2) -1 (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -2) 1 (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 -1 (pow.f64 y -2))) (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 y -2))) 2) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 y -2))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 y -2))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 y -2)) 2) (cbrt.f64 (pow.f64 y -2)) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)) (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 (pow.f64 y -2)) 2) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 -1 (cbrt.f64 y)) (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 (/.f64 -1 y) (cbrt.f64 y)) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (neg.f64 (/.f64 -1 (cbrt.f64 y))) (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (*.f64 (/.f64 -1 (cbrt.f64 y)) (/.f64 -1 y)) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 -1 (pow.f64 y -2))) (sqrt.f64 (+.f64 -1 (pow.f64 y -2))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (/.f64 (/.f64 -1 y) (sqrt.f64 y)) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (neg.f64 (pow.f64 y -1/2)) (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (*.f64 (pow.f64 y -1/2) (/.f64 -1 y)) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -1 (pow.f64 (pow.f64 y -2) 3)) (/.f64 1 (fma.f64 (pow.f64 y -2) (-.f64 (pow.f64 y -2) -1) 1)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 (pow.f64 y -3) y)) (/.f64 1 (+.f64 -1 (pow.f64 y -2))) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -1 (/.f64 -1 y)) 1 (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 y) (pow.f64 y -1/2)) (pow.f64 y -1/2) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 -1 (/.f64 -1 y))) (cbrt.f64 (+.f64 -1 (/.f64 -1 y)))) (cbrt.f64 (+.f64 -1 (/.f64 -1 y))) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 -1 (/.f64 -1 y))) (sqrt.f64 (+.f64 -1 (/.f64 -1 y))) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 y -2)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 y -2))) (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) -1) (pow.f64 (cbrt.f64 y) -1) (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 y) -1) (pow.f64 (sqrt.f64 y) -1) (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) 1) (/.f64 (/.f64 -1 (cbrt.f64 y)) y) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 y -1/2) 1) (/.f64 (pow.f64 y -1/2) y) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 y -2)) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 y -1/2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (pow.f64 y -1/2) (cbrt.f64 y)) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 y)) (/.f64 (/.f64 -1 y) (sqrt.f64 y)) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 y -2)) (sqrt.f64 y)) (/.f64 (/.f64 -1 (cbrt.f64 y)) (sqrt.f64 y)) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 -1 y) 1) (+.f64 -1 (/.f64 -1 y)) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 y -1/2) 1) (-.f64 (pow.f64 y -1/2) 1) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 y -1/2)) (pow.f64 y -1/2) (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 y -2))) (/.f64 -1 (cbrt.f64 y)) (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 y -2))) (/.f64 -1 (cbrt.f64 y)) (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 y -1/2)) (pow.f64 y -1/2) (+.f64 -1 (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (pow.f64 y -2)) 2)) (cbrt.f64 (pow.f64 y -2)) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 -1 y) (cbrt.f64 (pow.f64 y -2))) (/.f64 -1 (cbrt.f64 y)) (+.f64 -1 (/.f64 -1 y))))))) |
| 1× | egg-herbie |
| 608× | associate-/l/_binary64 |
| 492× | sub-neg_binary64 |
| 394× | unsub-neg_binary64 |
| 343× | div-sub_binary64 |
| 338× | distribute-rgt-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 1100 |
| 1 | 118 | 1079 |
| 2 | 310 | 743 |
| 3 | 1042 | 660 |
| 4 | 4579 | 652 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (pow.f64 y 2)) |
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) y)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) y)) (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) y)) (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) y)) (*.f64 (-.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) x)) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) x) y) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) y)) (/.f64 (*.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) x) y)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) y)) (/.f64 (*.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) x) y)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) y)) (/.f64 (*.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) x) y)) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) x) y) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))) |
(+.f64 (/.f64 (*.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) x) y) (*.f64 -1 (-.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))))) |
(*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))) (/.f64 1 (pow.f64 y 2))) |
(*.f64 -1 (/.f64 (-.f64 x 1) y)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))) (/.f64 1 (pow.f64 y 2))) |
(*.f64 -1 (/.f64 (-.f64 x 1) y)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 3))))) (/.f64 1 (pow.f64 y 2))) |
(/.f64 -1 (pow.f64 y 2)) |
(-.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) |
(-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
| Outputs |
|---|
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(*.f64 -1 (/.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) y)) |
(neg.f64 (/.f64 (-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) y)) |
(/.f64 (neg.f64 (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 -1 (*.f64 y y))))) y) |
(/.f64 (+.f64 (neg.f64 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))) 1) y) |
(/.f64 (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) y) |
(/.f64 (+.f64 1 (/.f64 (-.f64 -1 (/.f64 -1 y)) y)) y) |
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(-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) |
(-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) |
(+.f64 -1 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))) |
(+.f64 -1 (/.f64 (+.f64 1 (/.f64 -1 y)) y)) |
(-.f64 -1 (/.f64 (-.f64 -1 (/.f64 -1 y)) y)) |
(-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (pow.f64 y 2)))) |
(-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) |
(+.f64 -1 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))) |
(+.f64 -1 (/.f64 (+.f64 1 (/.f64 -1 y)) y)) |
(-.f64 -1 (/.f64 (-.f64 -1 (/.f64 -1 y)) y)) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(+.f64 -1 (/.f64 1 y)) |
(-.f64 -1 (/.f64 -1 y)) |
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) |
(+.f64 -1 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))) |
(+.f64 -1 (/.f64 (+.f64 1 (/.f64 -1 y)) y)) |
(-.f64 -1 (/.f64 (-.f64 -1 (/.f64 -1 y)) y)) |
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) |
(+.f64 -1 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))) |
(+.f64 -1 (/.f64 (+.f64 1 (/.f64 -1 y)) y)) |
(-.f64 -1 (/.f64 (-.f64 -1 (/.f64 -1 y)) y)) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(+.f64 -1 (/.f64 1 y)) |
(-.f64 -1 (/.f64 -1 y)) |
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) |
(+.f64 -1 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))) |
(+.f64 -1 (/.f64 (+.f64 1 (/.f64 -1 y)) y)) |
(-.f64 -1 (/.f64 (-.f64 -1 (/.f64 -1 y)) y)) |
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(-.f64 (/.f64 1 y) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) |
(+.f64 -1 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))) |
(+.f64 -1 (/.f64 (+.f64 1 (/.f64 -1 y)) y)) |
(-.f64 -1 (/.f64 (-.f64 -1 (/.f64 -1 y)) y)) |
Compiled 7 to 3 computations (57.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 1 (-.f64 y (*.f64 y x))) |
| ✓ | 0.0b | (-.f64 y (*.f64 y x)) |
Compiled 20 to 7 computations (65% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (-.f64 y (*.f64 y x)) |
| 0.0ms | y | @ | inf | (-.f64 y (*.f64 y x)) |
| 0.0ms | y | @ | -inf | (-.f64 y (*.f64 y x)) |
| 0.0ms | x | @ | -inf | (-.f64 y (*.f64 y x)) |
| 0.0ms | x | @ | inf | (-.f64 y (*.f64 y x)) |
| 1× | batch-egg-rewrite |
| 922× | pow1_binary64 |
| 859× | add-log-exp_binary64 |
| 859× | log1p-expm1-u_binary64 |
| 859× | expm1-log1p-u_binary64 |
| 843× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 1 | 158 | 17 |
| 2 | 2272 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 y (*.f64 y x)) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 x) y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 y) x (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y x))) (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 y x)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (*.f64 y x)) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 2) (cbrt.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 y (*.f64 y x))) (sqrt.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2)) (/.f64 1 (+.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x)))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 y (*.f64 y x)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3)) (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2)) (+.f64 y (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y x) 3))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y x) (+.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) 2))) (neg.f64 (+.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 y (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 y (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 y (*.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 y (*.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 y (*.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 y (*.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 y (*.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 y (*.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y x) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (-.f64 y (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (-.f64 y (*.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 y (*.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 y) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 y) 1) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y x) (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y x) (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y))) 2) (cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y))) (sqrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 y (*.f64 y x)) 3)) (/.f64 1 (+.f64 1 (+.f64 (-.f64 y (*.f64 y x)) (pow.f64 (-.f64 y (*.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (-.f64 y (*.f64 y x)) 2)) (/.f64 1 (+.f64 (-.f64 y (*.f64 y x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (-.f64 y (*.f64 y x)) (pow.f64 (-.f64 y (*.f64 y x)) 2))) (-.f64 1 (pow.f64 (-.f64 y (*.f64 y x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 y (*.f64 y x)) 1) (-.f64 1 (pow.f64 (-.f64 y (*.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 y (*.f64 y x)) 3)) (+.f64 1 (+.f64 (-.f64 y (*.f64 y x)) (pow.f64 (-.f64 y (*.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 y (*.f64 y x)) 2)) (+.f64 (-.f64 y (*.f64 y x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 y (*.f64 y x)) 3))) (neg.f64 (+.f64 1 (+.f64 (-.f64 y (*.f64 y x)) (pow.f64 (-.f64 y (*.f64 y x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 y (*.f64 y x)) 2))) (neg.f64 (+.f64 (-.f64 y (*.f64 y x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (-.f64 y (*.f64 y x))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (-.f64 y (*.f64 y x))) (neg.f64 (-.f64 y (*.f64 y x)))) (neg.f64 (-.f64 y (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 y) 3) (pow.f64 (*.f64 y x) 3)) (+.f64 (*.f64 (-.f64 1 y) (-.f64 1 y)) (-.f64 (pow.f64 (*.f64 y x) 2) (*.f64 (-.f64 1 y) (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (-.f64 y (*.f64 y x))) (neg.f64 (-.f64 y (*.f64 y x))))) (-.f64 1 (neg.f64 (-.f64 y (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 y) (-.f64 1 y)) (pow.f64 (*.f64 y x) 2)) (-.f64 (-.f64 1 y) (*.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y x) (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 y x) (-.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 y x) (-.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 y x) (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 y x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 y x) (-.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 y x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 y x) (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (-.f64 y (*.f64 y x))))))))) |
| 1× | egg-herbie |
| 218× | fma-def_binary64 |
| 161× | fma-neg_binary64 |
| 30× | sub-neg_binary64 |
| 26× | cancel-sign-sub-inv_binary64 |
| 23× | associate--r+_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 367 |
| 1 | 55 | 331 |
| 2 | 124 | 331 |
| 3 | 242 | 331 |
| 4 | 493 | 331 |
| 5 | 686 | 331 |
| 6 | 825 | 331 |
| 7 | 843 | 331 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (-.f64 1 x)) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
y |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 -1 (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
1 |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(*.f64 y (-.f64 x 1)) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(-.f64 1 y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(*.f64 y x) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(*.f64 y x) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
| Outputs |
|---|
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 y (+.f64 1 (*.f64 -1 x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
y |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(*.f64 -1 (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(*.f64 y (neg.f64 x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 y (*.f64 -1 (*.f64 y x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
1 |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 y (-.f64 x 1)) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(fma.f64 y x (neg.f64 y)) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x)))) |
(*.f64 y (+.f64 x -1)) |
(-.f64 (*.f64 y x) y) |
(fma.f64 y x (neg.f64 y)) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(+.f64 1 (*.f64 -1 (*.f64 y (+.f64 1 (*.f64 -1 x))))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 1 y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 y x) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(*.f64 y x) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
(-.f64 (+.f64 1 (*.f64 y x)) y) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(-.f64 (fma.f64 y x 1) y) |
Compiled 15 to 10 computations (33.3% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (*.f64 (-.f64 1 x) y) | |
| ✓ | 0.0b | (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) |
| ✓ | 2.8b | (fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 1) |
| ✓ | 7.5b | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)) |
Compiled 69 to 48 computations (30.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 1) |
| 2.0ms | x | @ | -inf | (fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 1) |
| 2.0ms | y | @ | -inf | (fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 1) |
| 2.0ms | y | @ | inf | (fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 1) |
| 1.0ms | y | @ | 0 | (fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 1) |
| 1× | batch-egg-rewrite |
| 565× | log-prod_binary64 |
| 306× | fma-def_binary64 |
| 286× | pow2_binary64 |
| 237× | prod-diff_binary64 |
| 202× | pow-unpow_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 63 |
| 1 | 242 | 44 |
| 2 | 3471 | 42 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)) |
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 1) |
(sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (+.f64 1 y) y)) (/.f64 x (/.f64 (+.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (/.f64 (+.f64 1 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (*.f64 y (/.f64 1 (+.f64 1 y))))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) (sqrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) 3) 1) (+.f64 (pow.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) 2) (-.f64 1 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) 2) 1) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x)))) 1)))))) |
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(sqrt.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 y (/.f64 (+.f64 1 y) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (-.f64 (log.f64 (*.f64 (-.f64 1 x) y)) (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (-.f64 1 x) y)) (log1p.f64 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 (*.f64 (-.f64 1 x) y)) (log1p.f64 y))) 1)))))) |
| 1× | egg-herbie |
| 594× | times-frac_binary64 |
| 484× | associate-*r*_binary64 |
| 484× | associate-*l*_binary64 |
| 407× | associate-/r*_binary64 |
| 354× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 1945 |
| 1 | 641 | 1731 |
| 2 | 2489 | 1585 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 y (+.f64 1 y)) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(*.f64 y (-.f64 1 x)) |
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1))) |
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))) |
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 x 1))))) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) x)))) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) x)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x))) |
(+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 y (+.f64 1 y))) (*.f64 -1/4 (/.f64 y (+.f64 1 y)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 y (+.f64 1 y))) (*.f64 1/8 (/.f64 y (+.f64 1 y)))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 y (+.f64 1 y))) (*.f64 -1/4 (/.f64 y (+.f64 1 y)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 y (+.f64 1 y))))))) |
1 |
(+.f64 1 (*.f64 -1 (-.f64 1 x))) |
(+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 x 1) y)))) |
(+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 x 1) 2) (*.f64 (pow.f64 y 2) (-.f64 1 x)))) (*.f64 -1 (/.f64 (-.f64 1 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 x 1) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2) x)) (pow.f64 y 2))))))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 x (+.f64 1 (*.f64 1/2 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 x 1) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2) x))) (-.f64 1 x))))) (pow.f64 y 3))) (+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 x 1) 2) (*.f64 (pow.f64 y 2) (-.f64 1 x)))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 x 1) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2) x))) (*.f64 (pow.f64 y 3) (-.f64 1 x)))) (*.f64 -1 (/.f64 (-.f64 1 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 x 1) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2) x)) (pow.f64 y 2))))))))) |
(+.f64 1 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (-.f64 1 x)))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 x 1)) y) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (-.f64 1 x))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 -1 (-.f64 x 1)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 x 1) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2))) (pow.f64 y 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 x 1)) y) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 x 1) 2) (*.f64 (pow.f64 y 2) (-.f64 1 x)))) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (-.f64 1 x))))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 -1 (-.f64 x 1)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 x 1) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2))) (pow.f64 y 2)) (+.f64 1 (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 x 1)) y) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 x 1) 2) (*.f64 (pow.f64 y 2) (-.f64 1 x)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (-.f64 1 x))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 x 1) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2)) (-.f64 x 1)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 x)))))) (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 x 1) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2)) (-.f64 x 1)) (-.f64 1 x)))) (pow.f64 y 3)))))))) |
(sqrt.f64 (/.f64 y (+.f64 1 y))) |
(+.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) x))) |
(+.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) x)) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) (pow.f64 x 2))))) |
(+.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) (+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) x)) (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) (pow.f64 x 2)))))) |
(sqrt.f64 (-.f64 1 x)) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 1/2 (*.f64 (/.f64 (-.f64 x 1) y) (sqrt.f64 (/.f64 1 (-.f64 1 x)))))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 x 1) y) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 1 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 x 1) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2) x)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))))) |
(+.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 x 1) y) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 x (+.f64 1 (*.f64 1/2 (/.f64 (*.f64 (-.f64 x 1) (-.f64 1 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 x 1) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2) x))) (-.f64 1 x))))) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) (*.f64 1/2 (*.f64 (/.f64 (-.f64 1 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 x 1) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2) x)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 (-.f64 1 x)))))))) |
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (-.f64 1 x))) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (-.f64 1 x))) (*.f64 -1/2 (*.f64 (/.f64 (-.f64 x 1) y) (sqrt.f64 (/.f64 1 (-.f64 1 x)))))) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (-.f64 1 x))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 x 1) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) (*.f64 -1/2 (*.f64 (/.f64 (-.f64 x 1) y) (sqrt.f64 (/.f64 1 (-.f64 1 x))))))) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (-.f64 1 x))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 x 1) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 x 1) y) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) (*.f64 1/2 (*.f64 (/.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 x 1) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2)) (-.f64 x 1)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 x))))) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (-.f64 1 x)))))))) |
| Outputs |
|---|
(/.f64 y (+.f64 1 y)) |
(/.f64 y (+.f64 y 1)) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 y 1)) (neg.f64 (/.f64 (*.f64 y x) (+.f64 y 1)))) |
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x)) |
(-.f64 (/.f64 y (+.f64 y 1)) (/.f64 y (/.f64 (+.f64 y 1) x))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 y 1)) (neg.f64 (/.f64 (*.f64 y x) (+.f64 y 1)))) |
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x)) |
(-.f64 (/.f64 y (+.f64 y 1)) (/.f64 y (/.f64 (+.f64 y 1) x))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 y 1)) (neg.f64 (/.f64 (*.f64 y x) (+.f64 y 1)))) |
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x)) |
(-.f64 (/.f64 y (+.f64 y 1)) (/.f64 y (/.f64 (+.f64 y 1) x))) |
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))) |
(neg.f64 (/.f64 (*.f64 y x) (+.f64 y 1))) |
(/.f64 (*.f64 (neg.f64 x) y) (+.f64 y 1)) |
(*.f64 (/.f64 y (+.f64 y 1)) (neg.f64 x)) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 y 1)) (neg.f64 (/.f64 (*.f64 y x) (+.f64 y 1)))) |
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x)) |
(-.f64 (/.f64 y (+.f64 y 1)) (/.f64 y (/.f64 (+.f64 y 1) x))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 y 1)) (neg.f64 (/.f64 (*.f64 y x) (+.f64 y 1)))) |
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x)) |
(-.f64 (/.f64 y (+.f64 y 1)) (/.f64 y (/.f64 (+.f64 y 1) x))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 y 1)) (neg.f64 (/.f64 (*.f64 y x) (+.f64 y 1)))) |
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x)) |
(-.f64 (/.f64 y (+.f64 y 1)) (/.f64 y (/.f64 (+.f64 y 1) x))) |
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))) |
(neg.f64 (/.f64 (*.f64 y x) (+.f64 y 1))) |
(/.f64 (*.f64 (neg.f64 x) y) (+.f64 y 1)) |
(*.f64 (/.f64 y (+.f64 y 1)) (neg.f64 x)) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 y 1)) (neg.f64 (/.f64 (*.f64 y x) (+.f64 y 1)))) |
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x)) |
(-.f64 (/.f64 y (+.f64 y 1)) (/.f64 y (/.f64 (+.f64 y 1) x))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 y 1)) (neg.f64 (/.f64 (*.f64 y x) (+.f64 y 1)))) |
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x)) |
(-.f64 (/.f64 y (+.f64 y 1)) (/.f64 y (/.f64 (+.f64 y 1) x))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 y 1)) (neg.f64 (/.f64 (*.f64 y x) (+.f64 y 1)))) |
(-.f64 (/.f64 y (+.f64 y 1)) (*.f64 (/.f64 y (+.f64 y 1)) x)) |
(-.f64 (/.f64 y (+.f64 y 1)) (/.f64 y (/.f64 (+.f64 y 1) x))) |
(*.f64 y (-.f64 1 x)) |
(-.f64 y (*.f64 y x)) |
(+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1))) |
(fma.f64 y (-.f64 1 x) (*.f64 (*.f64 y y) (+.f64 x -1))) |
(fma.f64 (*.f64 y y) (+.f64 -1 x) (*.f64 y (-.f64 1 x))) |
(*.f64 y (+.f64 (-.f64 1 x) (*.f64 (+.f64 -1 x) y))) |
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (*.f64 (pow.f64 y 2) (-.f64 x 1)))) |
(fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 y (-.f64 1 x) (*.f64 (*.f64 y y) (+.f64 x -1)))) |
(+.f64 (*.f64 y (*.f64 y (+.f64 -1 x))) (*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) y))) |
(+.f64 (*.f64 (*.f64 y y) (+.f64 -1 x)) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)))) |
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 1 x)) (+.f64 (*.f64 y (-.f64 1 x)) (+.f64 (*.f64 (pow.f64 y 4) (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 x 1))))) |
(fma.f64 (pow.f64 y 3) (-.f64 1 x) (fma.f64 y (-.f64 1 x) (*.f64 (+.f64 x -1) (+.f64 (pow.f64 y 4) (*.f64 y y))))) |
(+.f64 (*.f64 (+.f64 -1 x) (+.f64 (*.f64 y y) (pow.f64 y 4))) (*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) y))) |
(+.f64 (*.f64 (+.f64 -1 x) (+.f64 (*.f64 y y) (pow.f64 y 4))) (*.f64 (-.f64 1 x) (+.f64 y (pow.f64 y 3)))) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x)) |
(+.f64 1 (-.f64 (/.f64 x y) (+.f64 x (/.f64 1 y)))) |
(+.f64 1 (-.f64 (/.f64 (+.f64 -1 x) y) x)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) x))) |
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) (+.f64 x (/.f64 x (*.f64 y y)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 (+.f64 -1 x) y))) (+.f64 x (/.f64 x (*.f64 y y)))) |
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 (+.f64 -1 x) y)) (+.f64 x (/.f64 x (*.f64 y y))))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (pow.f64 y 2)) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (/.f64 1 (pow.f64 y 3)) x)))) |
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (+.f64 1 (/.f64 x y)) (/.f64 1 (*.f64 y y))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 1 (pow.f64 y 3))))))) |
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 (+.f64 -1 x) y))) (+.f64 x (+.f64 (/.f64 x (*.f64 y y)) (/.f64 1 (pow.f64 y 3)))))) |
(-.f64 1 x) |
(-.f64 (+.f64 1 (/.f64 x y)) (+.f64 (/.f64 1 y) x)) |
(+.f64 1 (-.f64 (/.f64 x y) (+.f64 x (/.f64 1 y)))) |
(+.f64 1 (-.f64 (/.f64 (+.f64 -1 x) y) x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) x)) |
(-.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) (*.f64 y y)) (+.f64 1 (/.f64 x y))) (+.f64 x (/.f64 1 y))) |
(+.f64 (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 (+.f64 -1 x) y) x)) |
(+.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 -1 x) y) x)) (/.f64 (-.f64 1 x) (*.f64 y y))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) (pow.f64 y 2))) (+.f64 1 (/.f64 x y)))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x))) |
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) (*.f64 y y)) (+.f64 1 (/.f64 x y))) (+.f64 (/.f64 1 y) (+.f64 x (/.f64 1 (pow.f64 y 3)))))) |
(-.f64 (+.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 1 (/.f64 (+.f64 -1 x) y))) (+.f64 x (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 x (pow.f64 y 3)) (-.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 (+.f64 -1 x) y)) (+.f64 x (/.f64 1 (pow.f64 y 3))))) |
(+.f64 1 (*.f64 -1 (/.f64 y (+.f64 1 y)))) |
(+.f64 1 (neg.f64 (/.f64 y (+.f64 y 1)))) |
(-.f64 1 (/.f64 y (+.f64 y 1))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (*.f64 -1 (/.f64 y (+.f64 1 y))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 y 1)) (neg.f64 (/.f64 y (+.f64 y 1))))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.f64 y (+.f64 y 1)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 y (+.f64 1 y))) (*.f64 -1/4 (/.f64 y (+.f64 1 y)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 y (+.f64 1 y)))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 y 1)) (neg.f64 (/.f64 y (+.f64 y 1))))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.f64 y (+.f64 y 1)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 1 y)) (+.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 y (+.f64 1 y))) (*.f64 1/8 (/.f64 y (+.f64 1 y)))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 y (+.f64 1 y))) (*.f64 -1/4 (/.f64 y (+.f64 1 y)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 y (+.f64 1 y))))))) |
(+.f64 1 (+.f64 (/.f64 (*.f64 y x) (+.f64 y 1)) (neg.f64 (/.f64 y (+.f64 y 1))))) |
(+.f64 1 (-.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) (/.f64 y (+.f64 y 1)))) |
(+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) (+.f64 -1 x))) |
1 |
(+.f64 1 (*.f64 -1 (-.f64 1 x))) |
(+.f64 1 (neg.f64 (-.f64 1 x))) |
(-.f64 1 (-.f64 1 x)) |
(+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (*.f64 -1 (/.f64 (-.f64 x 1) y)))) |
(+.f64 1 (*.f64 -1 (+.f64 (-.f64 1 x) (/.f64 (+.f64 x -1) y)))) |
(+.f64 (-.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) y)) |
(+.f64 (+.f64 -1 x) (+.f64 1 (/.f64 (-.f64 1 x) y))) |
(+.f64 1 (+.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (-.f64 x 1) 2) (*.f64 (pow.f64 y 2) (-.f64 1 x)))) (*.f64 -1 (/.f64 (-.f64 1 (+.f64 (pow.f64 (*.f64 1/2 (*.f64 (-.f64 x 1) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2) x)) (pow.f64 y 2))))))) |
(+.f64 1 (fma.f64 -1 (-.f64 1 x) (fma.f64 -1 (/.f64 (+.f64 x -1) y) (fma.f64 -1/4 (/.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 (-.f64 1 x) (*.f64 y y))) (neg.f64 (/.f64 (-.f64 1 (+.f64 x (pow.f64 (*.f64 1/2 (*.f64 (+.f64 x -1) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2))) (*.f64 y y))))))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 (-.f64 1 x) y) (-.f64 1 x)) (-.f64 (*.f64 -1/4 (/.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 (-.f64 1 x) (*.f64 y y)))) (/.f64 (-.f64 (-.f64 1 x) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (+.f64 (*.f64 x 1/2) -1/2)) 2)) (*.f64 y y))))) |
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(fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (*.f64 (/.f64 (+.f64 -1 x) y) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) -1/2))) |
(fma.f64 -1/2 (*.f64 (/.f64 (+.f64 -1 x) y) (sqrt.f64 (/.f64 1 (-.f64 1 x)))) (neg.f64 (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (-.f64 1 x))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 x 1) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) (*.f64 -1/2 (*.f64 (/.f64 (-.f64 x 1) y) (sqrt.f64 (/.f64 1 (-.f64 1 x))))))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (-.f64 1 x)) (*.f64 -1/2 (+.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (/.f64 (fma.f64 -1 (+.f64 x -1) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (/.f64 (+.f64 x -1) (sqrt.f64 -1)))) 2)) (*.f64 y y))) (*.f64 (/.f64 (+.f64 x -1) y) (sqrt.f64 (/.f64 1 (-.f64 1 x))))))) |
(fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (+.f64 (/.f64 (+.f64 (-.f64 1 x) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (*.f64 1/2 (/.f64 (+.f64 -1 x) (sqrt.f64 -1)))) 2)) (*.f64 y y)) (/.f64 (+.f64 -1 x) y))))) |
(fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (+.f64 (/.f64 (+.f64 (-.f64 1 x) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (/.f64 (+.f64 -1 x) (/.f64 (sqrt.f64 -1) 1/2))) 2)) (*.f64 y y)) (/.f64 (+.f64 -1 x) y))) (neg.f64 (sqrt.f64 (-.f64 1 x)))) |
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (-.f64 1 x))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 x 1) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2)) (pow.f64 y 2)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) (+.f64 (*.f64 -1/2 (*.f64 (/.f64 (-.f64 x 1) y) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) (*.f64 1/2 (*.f64 (/.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (pow.f64 (*.f64 1/2 (*.f64 (/.f64 (-.f64 x 1) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))) 2)) (-.f64 x 1)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 1 x))))) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (-.f64 1 x)))))))) |
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (-.f64 1 x)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (/.f64 (fma.f64 -1 (+.f64 x -1) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (/.f64 (+.f64 x -1) (sqrt.f64 -1)))) 2)) (*.f64 y y))) (fma.f64 -1/2 (*.f64 (/.f64 (+.f64 x -1) y) (sqrt.f64 (/.f64 1 (-.f64 1 x)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (/.f64 (fma.f64 -1 (+.f64 x -1) (*.f64 -1/2 (*.f64 (/.f64 (fma.f64 -1 (+.f64 x -1) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (/.f64 (+.f64 x -1) (sqrt.f64 -1)))) 2)) (pow.f64 (sqrt.f64 -1) 2)) (/.f64 (+.f64 x -1) (-.f64 1 x))))) (pow.f64 y 3))))))) |
(fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (fma.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (+.f64 (/.f64 (+.f64 (-.f64 1 x) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (*.f64 1/2 (/.f64 (+.f64 -1 x) (sqrt.f64 -1)))) 2)) (*.f64 y y)) (/.f64 (+.f64 -1 x) y))) (*.f64 1/2 (/.f64 (+.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 (/.f64 (+.f64 (-.f64 1 x) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (*.f64 1/2 (/.f64 (+.f64 -1 x) (sqrt.f64 -1)))) 2)) (-.f64 1 x)) (+.f64 -1 x)))) (/.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (-.f64 1 x)))))))) |
(fma.f64 -1 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (+.f64 (*.f64 -1/2 (+.f64 (/.f64 (+.f64 (-.f64 1 x) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (/.f64 (+.f64 -1 x) (/.f64 (sqrt.f64 -1) 1/2))) 2)) (*.f64 y y)) (/.f64 (+.f64 -1 x) y))) (*.f64 1/2 (/.f64 (fma.f64 1/2 (*.f64 (+.f64 (-.f64 1 x) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 x))) (/.f64 (+.f64 -1 x) (/.f64 (sqrt.f64 -1) 1/2))) 2)) (/.f64 (+.f64 -1 x) (-.f64 1 x))) (-.f64 1 x)) (pow.f64 y 3)))))) |
Compiled 23426 to 17061 computations (27.2% saved)
21 alts after pruning (15 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 864 | 4 | 868 |
| Fresh | 2 | 11 | 13 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 6 | 8 |
| Total | 869 | 21 | 890 |
| Status | Error | Program |
|---|---|---|
| ✓ | 39.3b | (-.f64 1 (/.f64 y (+.f64 y 1))) |
| 38.0b | (-.f64 x (/.f64 x y)) | |
| 37.9b | x | |
| 30.4b | (+.f64 x (/.f64 1 y)) | |
| 38.8b | (/.f64 (*.f64 y x) (+.f64 y 1)) | |
| 52.9b | (fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) (neg.f64 (sqrt.f64 (/.f64 y (+.f64 y 1)))) 1) | |
| 54.9b | (-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 (/.f64 1 y) (/.f64 1 y)) (/.f64 1 (pow.f64 y 4)))) | |
| ✓ | 55.8b | (*.f64 y x) |
| ✓ | 34.6b | (*.f64 y (/.f64 x (+.f64 1 y))) |
| 39.2b | (fma.f64 (/.f64 1 (+.f64 1 y)) (neg.f64 y) 1) | |
| 30.6b | (+.f64 x (/.f64 (+.f64 1 (/.f64 (-.f64 -1 (/.f64 -1 y)) y)) y)) | |
| ✓ | 14.6b | (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
| 54.9b | (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 4))))) | |
| 54.6b | (/.f64 1 y) | |
| 33.6b | (-.f64 1 (*.f64 y (neg.f64 x))) | |
| 58.1b | (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 y) (-.f64 (-.f64 (pow.f64 y -3) (pow.f64 y -2)) (pow.f64 y -4))) 3)) | |
| 40.3b | 1 | |
| ✓ | 33.7b | (fma.f64 y (+.f64 x -1) 1) |
| ✓ | 40.4b | (-.f64 1 y) |
| 30.6b | (+.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 x))) 2) -1) (cbrt.f64 (/.f64 (-.f64 1 x) y)))) | |
| 55.0b | (/.f64 (+.f64 1 (/.f64 -1 y)) y) |
Compiled 236 to 179 computations (24.2% saved)
| Inputs |
|---|
1 |
1 |
x |
1 |
(/.f64 1 y) |
(*.f64 y x) |
(/.f64 1 y) |
(-.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 x (/.f64 x y)) |
(-.f64 1 (-.f64 1 x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 (+.f64 1 (/.f64 -1 y)) y) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(-.f64 1 (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 1 y))) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) |
(-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
(+.f64 x (/.f64 (+.f64 1 (/.f64 (-.f64 -1 (/.f64 -1 y)) y)) y)) |
(+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) |
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1))) |
(fma.f64 y (+.f64 x -1) 1) |
(fma.f64 y (+.f64 -1 x) 1) |
(fma.f64 (/.f64 1 (+.f64 1 y)) (neg.f64 y) 1) |
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) |
(fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) (neg.f64 y) 1) |
(fma.f64 (*.f64 (-.f64 1 x) (neg.f64 y)) (/.f64 1 (+.f64 1 y)) 1) |
(+.f64 (-.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (-.f64 (/.f64 -1 y) -1))) (/.f64 (-.f64 1 x) (pow.f64 y 3))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 -1 (*.f64 y y)) (/.f64 -1 (pow.f64 y 4))))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 (/.f64 1 y) (/.f64 1 y)) (/.f64 1 (pow.f64 y 4)))) |
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) (neg.f64 (sqrt.f64 (/.f64 y (+.f64 y 1)))) 1) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 1 (pow.f64 y 4)))) |
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y))) (neg.f64 (sqrt.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 1 y)))) 1) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) (neg.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 1) |
(+.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 1 x))) 2) -1) (cbrt.f64 (/.f64 (-.f64 1 x) y)))) |
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 y) (-.f64 (-.f64 (pow.f64 y -3) (pow.f64 y -2)) (pow.f64 y -4))) 3)) |
| Outputs |
|---|
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) |
(fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) (neg.f64 y) 1) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) |
7 calls:
| 234.0ms | x |
| 156.0ms | y |
| 113.0ms | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 84.0ms | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 52.0ms | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| Error | Segments | Branch |
|---|---|---|
| 10.2b | 5 | x |
| 0.1b | 3 | y |
| 0.1b | 3 | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 0.1b | 3 | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 0.1b | 3 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 0.1b | 3 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 14.5b | 1 | (-.f64 1 x) |
Compiled 519 to 354 computations (31.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 59.0ms | 6739.445106154658 | 26047.069786415846 |
| 39.0ms | -70860.27575897537 | -9305.724490068953 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
1 |
x |
1 |
(/.f64 1 y) |
(*.f64 y x) |
(/.f64 1 y) |
(-.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 x (/.f64 x y)) |
(-.f64 1 (-.f64 1 x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 (+.f64 1 (/.f64 -1 y)) y) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(-.f64 1 (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 1 y))) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) |
(-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
(+.f64 x (/.f64 (+.f64 1 (/.f64 (-.f64 -1 (/.f64 -1 y)) y)) y)) |
(+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) |
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1))) |
(fma.f64 y (+.f64 x -1) 1) |
(fma.f64 y (+.f64 -1 x) 1) |
(fma.f64 (/.f64 1 (+.f64 1 y)) (neg.f64 y) 1) |
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) |
| Outputs |
|---|
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) |
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) |
7 calls:
| 157.0ms | x |
| 97.0ms | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 86.0ms | y |
| 76.0ms | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 70.0ms | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| Error | Segments | Branch |
|---|---|---|
| 10.2b | 5 | x |
| 0.1b | 3 | y |
| 0.1b | 3 | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 0.1b | 3 | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 0.1b | 3 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 0.1b | 3 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 14.5b | 1 | (-.f64 1 x) |
Compiled 307 to 197 computations (35.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 6739.445106154658 | 26047.069786415846 |
| 20.0ms | -70860.27575897537 | -9305.724490068953 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
1 |
x |
1 |
(/.f64 1 y) |
(*.f64 y x) |
(/.f64 1 y) |
(-.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 x (/.f64 x y)) |
(-.f64 1 (-.f64 1 x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 (+.f64 1 (/.f64 -1 y)) y) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(-.f64 1 (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 1 y))) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) |
(-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
(+.f64 x (/.f64 (+.f64 1 (/.f64 (-.f64 -1 (/.f64 -1 y)) y)) y)) |
(+.f64 (/.f64 1 y) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) |
| Outputs |
|---|
(-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
(+.f64 x (/.f64 (+.f64 1 (/.f64 (-.f64 -1 (/.f64 -1 y)) y)) y)) |
(-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
7 calls:
| 127.0ms | x |
| 77.0ms | y |
| 48.0ms | (-.f64 1 x) |
| 33.0ms | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 32.0ms | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| Error | Segments | Branch |
|---|---|---|
| 10.3b | 5 | x |
| 0.1b | 3 | y |
| 0.1b | 3 | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 0.1b | 3 | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 0.1b | 3 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 0.1b | 3 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 14.6b | 1 | (-.f64 1 x) |
Compiled 236 to 149 computations (36.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000141124784199 | 1.000107472284759 |
| 0.0ms | 0.9631757007483389 | 0.9999999949734274 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
1 |
x |
1 |
(/.f64 1 y) |
(*.f64 y x) |
(/.f64 1 y) |
(-.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 x (/.f64 x y)) |
(-.f64 1 (-.f64 1 x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 (+.f64 1 (/.f64 -1 y)) y) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(-.f64 1 (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 1 y))) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) |
(-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| Outputs |
|---|
(+.f64 x (/.f64 1 y)) |
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
(+.f64 x (/.f64 1 y)) |
7 calls:
| 138.0ms | x |
| 111.0ms | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 97.0ms | y |
| 59.0ms | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 47.0ms | (-.f64 1 x) |
| Error | Segments | Branch |
|---|---|---|
| 10.5b | 5 | x |
| 0.3b | 3 | y |
| 0.3b | 3 | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 0.3b | 3 | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 0.3b | 3 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 0.3b | 3 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 14.6b | 1 | (-.f64 1 x) |
Compiled 197 to 123 computations (37.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 26047.069786415846 | 198942715.52008694 |
| 21.0ms | -13307707495.534391 | -21935788.46832977 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
1 |
x |
1 |
(/.f64 1 y) |
(*.f64 y x) |
(/.f64 1 y) |
(-.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 x (/.f64 x y)) |
(-.f64 1 (-.f64 1 x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 (+.f64 1 (/.f64 -1 y)) y) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(-.f64 1 (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 1 y))) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) |
(-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 1 y)) |
(-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
(+.f64 x (/.f64 1 y)) |
3 calls:
| 69.0ms | x |
| 34.0ms | y |
| 17.0ms | (-.f64 1 x) |
| Error | Segments | Branch |
|---|---|---|
| 10.5b | 5 | x |
| 0.3b | 3 | y |
| 14.6b | 1 | (-.f64 1 x) |
Compiled 138 to 79 computations (42.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 26047.069786415846 | 198942715.52008694 |
| 19.0ms | -13307707495.534391 | -21935788.46832977 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
1 |
x |
1 |
(/.f64 1 y) |
(*.f64 y x) |
(/.f64 1 y) |
(-.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 x (/.f64 x y)) |
(-.f64 1 (-.f64 1 x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 (+.f64 1 (/.f64 -1 y)) y) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(-.f64 1 (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 1 y))) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
4 calls:
| 136.0ms | x |
| 39.0ms | y |
| 33.0ms | (-.f64 1 x) |
| 31.0ms | (-.f64 1 x) |
| Error | Segments | Branch |
|---|---|---|
| 15.5b | 9 | x |
| 1.4b | 3 | y |
| 19.7b | 5 | (-.f64 1 x) |
| 19.7b | 5 | (-.f64 1 x) |
Compiled 132 to 75 computations (43.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 1.2673286291819278e-6 | 26.15598179250866 |
| 29.0ms | -274.6501948732118 | -0.0011745116587388801 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
1 |
x |
1 |
(/.f64 1 y) |
(*.f64 y x) |
(/.f64 1 y) |
(-.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 x (/.f64 x y)) |
(-.f64 1 (-.f64 1 x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 (+.f64 1 (/.f64 -1 y)) y) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(-.f64 1 (/.f64 y (+.f64 y 1))) |
(*.f64 y (/.f64 x (+.f64 1 y))) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
| Outputs |
|---|
(+.f64 x (/.f64 1 y)) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(+.f64 x (/.f64 1 y)) |
4 calls:
| 227.0ms | x |
| 54.0ms | (-.f64 1 x) |
| 48.0ms | (-.f64 1 x) |
| 35.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 15.5b | 9 | x |
| 1.7b | 3 | y |
| 19.7b | 5 | (-.f64 1 x) |
| 19.7b | 5 | (-.f64 1 x) |
Compiled 116 to 65 computations (44% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.2673286291819278e-6 | 26.15598179250866 |
| 20.0ms | -274.6501948732118 | -0.0011745116587388801 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
1 |
x |
1 |
(/.f64 1 y) |
(*.f64 y x) |
(/.f64 1 y) |
(-.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 x (/.f64 x y)) |
(-.f64 1 (-.f64 1 x)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(/.f64 (*.f64 y x) (+.f64 y 1)) |
(/.f64 (+.f64 1 (/.f64 -1 y)) y) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
| Outputs |
|---|
(+.f64 x (/.f64 1 y)) |
(-.f64 1 (*.f64 y (neg.f64 x))) |
(+.f64 x (/.f64 1 y)) |
4 calls:
| 249.0ms | x |
| 61.0ms | (-.f64 1 x) |
| 53.0ms | (-.f64 1 x) |
| 47.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 20.6b | 10 | x |
| 1.9b | 3 | y |
| 25.3b | 6 | (-.f64 1 x) |
| 25.3b | 6 | (-.f64 1 x) |
Compiled 81 to 48 computations (40.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 1.2673286291819278e-6 | 26.15598179250866 |
| 34.0ms | -274.6501948732118 | -0.0011745116587388801 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
1 |
x |
1 |
(/.f64 1 y) |
(*.f64 y x) |
(/.f64 1 y) |
(-.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 x (/.f64 x y)) |
(-.f64 1 (-.f64 1 x)) |
| Outputs |
|---|
(+.f64 x (/.f64 1 y)) |
(-.f64 1 y) |
(+.f64 x (/.f64 1 y)) |
4 calls:
| 78.0ms | x |
| 61.0ms | y |
| 28.0ms | (-.f64 1 x) |
| 28.0ms | (-.f64 1 x) |
| Error | Segments | Branch |
|---|---|---|
| 24.1b | 7 | x |
| 8.8b | 3 | y |
| 28.8b | 3 | (-.f64 1 x) |
| 28.8b | 3 | (-.f64 1 x) |
Compiled 54 to 33 computations (38.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 1.882530211263151e-8 | 1.2673286291819278e-6 |
| 34.0ms | -274.6501948732118 | -0.0011745116587388801 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
1 |
x |
1 |
(/.f64 1 y) |
(*.f64 y x) |
(/.f64 1 y) |
(-.f64 1 y) |
(-.f64 x (/.f64 x y)) |
| Outputs |
|---|
x |
(/.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(-.f64 1 y) |
(-.f64 x (/.f64 x y)) |
2 calls:
| 55.0ms | x |
| 28.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 26.5b | 7 | x |
| 14.7b | 5 | y |
Compiled 29 to 18 computations (37.9% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.2673286291819278e-6 | 26.15598179250866 |
| 24.0ms | -274.6501948732118 | -0.0011745116587388801 |
| 48.0ms | -1.5609094979744057e+66 | -1.9467100092694685e+63 |
| 46.0ms | -2.6139404476370336e+106 | -9.129211425493745e+98 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
1 |
x |
1 |
(/.f64 1 y) |
(*.f64 y x) |
(/.f64 1 y) |
(-.f64 1 y) |
| Outputs |
|---|
x |
(/.f64 1 y) |
x |
(-.f64 1 y) |
x |
2 calls:
| 54.0ms | x |
| 28.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 26.5b | 7 | x |
| 15.0b | 5 | y |
Compiled 24 to 16 computations (33.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 1.882530211263151e-8 | 1.2673286291819278e-6 |
| 33.0ms | -274.6501948732118 | -0.0011745116587388801 |
| 44.0ms | -1.5609094979744057e+66 | -1.9467100092694685e+63 |
| 58.0ms | -2.6139404476370336e+106 | -9.129211425493745e+98 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
1 |
x |
1 |
(/.f64 1 y) |
(*.f64 y x) |
(/.f64 1 y) |
| Outputs |
|---|
x |
(/.f64 1 y) |
x |
1 |
x |
2 calls:
| 47.0ms | x |
| 44.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 26.5b | 7 | x |
| 15.2b | 5 | y |
Compiled 21 to 14 computations (33.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 26.15598179250866 | 6739.445106154658 |
| 19.0ms | -274.6501948732118 | -0.0011745116587388801 |
| 31.0ms | -1.5609094979744057e+66 | -1.9467100092694685e+63 |
| 26.0ms | -2.6139404476370336e+106 | -9.129211425493745e+98 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
1 |
x |
1 |
| Outputs |
|---|
x |
1 |
x |
2 calls:
| 17.0ms | x |
| 12.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 28.9b | 3 | x |
| 16.6b | 3 | y |
Compiled 12 to 9 computations (25% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 26.15598179250866 | 6739.445106154658 |
| 19.0ms | -274.6501948732118 | -0.0011745116587388801 |
Compiled 18 to 14 computations (22.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0.0b (0%)
| Inputs |
|---|
1 |
1 |
| Outputs |
|---|
1 |
2 calls:
| 4.0ms | y |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 40.3b | 1 | x |
| 40.3b | 1 | y |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
| 81× | cancel-sign-sub-inv_binary64 |
| 75× | distribute-rgt-neg-in_binary64 |
| 53× | distribute-lft-neg-in_binary64 |
| 51× | neg-sub0_binary64 |
| 51× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 612 |
| 1 | 141 | 610 |
| 2 | 191 | 610 |
| 3 | 245 | 610 |
| 4 | 292 | 610 |
| 5 | 343 | 610 |
| 6 | 422 | 610 |
| 7 | 490 | 610 |
| 8 | 537 | 610 |
| 9 | 578 | 610 |
| 10 | 627 | 610 |
| 11 | 675 | 610 |
| 12 | 710 | 610 |
| 13 | 722 | 610 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y -4869481071525453/68719476736) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) (if (<=.f64 y 7410098258975105/1099511627776) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) (neg.f64 y) 1) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))))) |
(if (<=.f64 y -4869481071525453/68719476736) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) (if (<=.f64 y 7410098258975105/1099511627776) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) 2206763817411543/2251799813685248) (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) (if (<=.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) 4504049987333233/4503599627370496) (+.f64 x (/.f64 (+.f64 1 (/.f64 (-.f64 -1 (/.f64 -1 y)) y)) y)) (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))) |
(if (<=.f64 y -6977071347418735/524288) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 7159764024914289/274877906944) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -6977071347418735/524288) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 7159764024914289/274877906944) (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -4831697325344651/17592186044416) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5984790241229869/4722366482869645213696) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 (-.f64 1 x) y)))) |
(if (<=.f64 y -4831697325344651/17592186044416) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5984790241229869/4722366482869645213696) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -4831697325344651/17592186044416) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5984790241229869/4722366482869645213696) (-.f64 1 (*.f64 y (neg.f64 x))) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -4831697325344651/17592186044416) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5689598446501515/302231454903657293676544) (-.f64 1 y) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -26139404476370336372333474797986075435812914580401356017038975773125912345770989992036341176390476026085376) x (if (<=.f64 y -1560909497974405663365462974857763096990338726133766467386450378752) (/.f64 1 y) (if (<=.f64 y -4831697325344651/17592186044416) (-.f64 x (/.f64 x y)) (if (<=.f64 y 5984790241229869/4722366482869645213696) (-.f64 1 y) (-.f64 x (/.f64 x y)))))) |
(if (<=.f64 y -26139404476370336372333474797986075435812914580401356017038975773125912345770989992036341176390476026085376) x (if (<=.f64 y -1560909497974405663365462974857763096990338726133766467386450378752) (/.f64 1 y) (if (<=.f64 y -4831697325344651/17592186044416) x (if (<=.f64 y 5689598446501515/302231454903657293676544) (-.f64 1 y) x)))) |
(if (<=.f64 y -26139404476370336372333474797986075435812914580401356017038975773125912345770989992036341176390476026085376) x (if (<=.f64 y -1560909497974405663365462974857763096990338726133766467386450378752) (/.f64 1 y) (if (<=.f64 y -4831697325344651/17592186044416) x (if (<=.f64 y 7362254365890717/281474976710656) 1 x)))) |
(if (<=.f64 y -4831697325344651/17592186044416) x (if (<=.f64 y 7362254365890717/281474976710656) 1 x)) |
1 |
| Outputs |
|---|
(if (<=.f64 y -4869481071525453/68719476736) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) (if (<=.f64 y 7410098258975105/1099511627776) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) (neg.f64 y) 1) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))))) |
(if (<=.f64 y -4869481071525453/68719476736) (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) (if (<=.f64 y 7410098258975105/1099511627776) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 y 1)) (neg.f64 y) 1) (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))))) |
(if (<=.f64 y -4869481071525453/68719476736) (+.f64 x (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 -1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) (if (<=.f64 y 7410098258975105/1099511627776) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 y 1)) (neg.f64 y) 1) (+.f64 x (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 -1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))))) |
(if (<=.f64 y -4869481071525453/68719476736) (+.f64 x (*.f64 (/.f64 (-.f64 1 x) y) (+.f64 (/.f64 -1 y) (+.f64 1 (/.f64 (/.f64 1 y) y))))) (if (<=.f64 y 7410098258975105/1099511627776) (fma.f64 (/.f64 (-.f64 1 x) (+.f64 y 1)) (neg.f64 y) 1) (+.f64 x (*.f64 (/.f64 (-.f64 1 x) y) (+.f64 (/.f64 -1 y) (+.f64 1 (/.f64 (/.f64 1 y) y))))))) |
(if (<=.f64 y -4869481071525453/68719476736) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) (if (<=.f64 y 7410098258975105/1099511627776) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))))) |
(if (<=.f64 y -4869481071525453/68719476736) (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) (if (<=.f64 y 7410098258975105/1099511627776) (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))))) |
(if (<=.f64 y -4869481071525453/68719476736) (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) (if (<=.f64 y 7410098258975105/1099511627776) (+.f64 1 (/.f64 (*.f64 y (+.f64 x -1)) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))))) |
(if (<=.f64 y -4869481071525453/68719476736) (+.f64 x (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 -1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))) (if (<=.f64 y 7410098258975105/1099511627776) (+.f64 1 (/.f64 (*.f64 y (+.f64 x -1)) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 (/.f64 -1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))))))) |
(if (<=.f64 y -4869481071525453/68719476736) (+.f64 x (*.f64 (/.f64 (-.f64 1 x) y) (+.f64 (/.f64 -1 y) (+.f64 1 (/.f64 (/.f64 1 y) y))))) (if (<=.f64 y 7410098258975105/1099511627776) (+.f64 1 (/.f64 (*.f64 y (+.f64 x -1)) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (-.f64 1 x) y) (+.f64 (/.f64 -1 y) (+.f64 1 (/.f64 (/.f64 1 y) y))))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) 2206763817411543/2251799813685248) (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) (if (<=.f64 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) 4504049987333233/4503599627370496) (+.f64 x (/.f64 (+.f64 1 (/.f64 (-.f64 -1 (/.f64 -1 y)) y)) y)) (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)))) |
(if (<=.f64 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1)) 2206763817411543/2251799813685248) (-.f64 1 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 y 1)))) (if (<=.f64 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1)) 4504049987333233/4503599627370496) (+.f64 x (/.f64 (+.f64 1 (/.f64 (-.f64 -1 (/.f64 -1 y)) y)) y)) (-.f64 1 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 y 1)))))) |
(if (<=.f64 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1)) 2206763817411543/2251799813685248) (-.f64 1 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 y 1)))) (if (<=.f64 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1)) 4504049987333233/4503599627370496) (+.f64 x (/.f64 (+.f64 1 (/.f64 (+.f64 -1 (/.f64 1 y)) y)) y)) (-.f64 1 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 y 1)))))) |
(if (<=.f64 y -6977071347418735/524288) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 7159764024914289/274877906944) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -6977071347418735/524288) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 7159764024914289/274877906944) (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1))) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -6977071347418735/524288) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 7159764024914289/274877906944) (+.f64 1 (/.f64 (*.f64 y (+.f64 x -1)) (+.f64 y 1))) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -6977071347418735/524288) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 7159764024914289/274877906944) (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -6977071347418735/524288) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 7159764024914289/274877906944) (-.f64 1 (*.f64 y (/.f64 (-.f64 1 x) (+.f64 y 1)))) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -4831697325344651/17592186044416) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5984790241229869/4722366482869645213696) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 (-.f64 1 x) y)))) |
(if (<=.f64 y -4831697325344651/17592186044416) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5984790241229869/4722366482869645213696) (+.f64 1 (-.f64 (*.f64 y x) y)) (+.f64 x (/.f64 (-.f64 1 x) y)))) |
(if (<=.f64 y -4831697325344651/17592186044416) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5984790241229869/4722366482869645213696) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -4831697325344651/17592186044416) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5984790241229869/4722366482869645213696) (+.f64 1 (-.f64 (*.f64 y x) y)) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -4831697325344651/17592186044416) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5984790241229869/4722366482869645213696) (-.f64 1 (*.f64 y (neg.f64 x))) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -4831697325344651/17592186044416) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5984790241229869/4722366482869645213696) (+.f64 1 (*.f64 y x)) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -4831697325344651/17592186044416) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5689598446501515/302231454903657293676544) (-.f64 1 y) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -26139404476370336372333474797986075435812914580401356017038975773125912345770989992036341176390476026085376) x (if (<=.f64 y -1560909497974405663365462974857763096990338726133766467386450378752) (/.f64 1 y) (if (<=.f64 y -4831697325344651/17592186044416) (-.f64 x (/.f64 x y)) (if (<=.f64 y 5984790241229869/4722366482869645213696) (-.f64 1 y) (-.f64 x (/.f64 x y)))))) |
(if (<=.f64 y -26139404476370336372333474797986075435812914580401356017038975773125912345770989992036341176390476026085376) x (if (<=.f64 y -1560909497974405663365462974857763096990338726133766467386450378752) (/.f64 1 y) (if (<=.f64 y -4831697325344651/17592186044416) x (if (<=.f64 y 5689598446501515/302231454903657293676544) (-.f64 1 y) x)))) |
(if (<=.f64 y -26139404476370336372333474797986075435812914580401356017038975773125912345770989992036341176390476026085376) x (if (<=.f64 y -1560909497974405663365462974857763096990338726133766467386450378752) (/.f64 1 y) (if (<=.f64 y -4831697325344651/17592186044416) x (if (<=.f64 y 7362254365890717/281474976710656) 1 x)))) |
(if (<=.f64 y -4831697325344651/17592186044416) x (if (<=.f64 y 7362254365890717/281474976710656) 1 x)) |
1 |
Compiled 450 to 311 computations (30.9% saved)
| 1× | egg-herbie |
| 547× | times-frac_binary64 |
| 414× | sub-neg_binary64 |
| 358× | associate-+l+_binary64 |
| 357× | unsub-neg_binary64 |
| 330× | fma-def_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 534 |
| 1 | 190 | 474 |
| 2 | 680 | 345 |
| 3 | 3708 | 337 |
| 1× | node limit |
Compiled 1248 to 965 computations (22.7% saved)
Compiled 424 to 282 computations (33.5% saved)
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