Time bar (total: 11.0s)
| 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)
| 1.0s | 6962× | body | 256 | valid |
| 298.0ms | 682× | body | 512 | valid |
| 191.0ms | 599× | body | 1024 | valid |
| 4.0ms | 13× | 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 |
|---|---|---|
| ▶ | 21.5b | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| ▶ | 12.2b | (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 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) |
| ✓ | 1.5b | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| ✓ | 8.6b | (/.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 | x | @ | 0 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 1.0ms | y | @ | 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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 y (-.f64 -1 y)) |
| ✓ | 1.5b | (fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) |
Compiled 27 to 18 computations (33.3% saved)
9 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 | x | @ | 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 | y | @ | 0 | (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 | 21 |
| 1 | 194 | 21 |
| 2 | 2615 | 21 |
| 1× | node limit |
| Inputs |
|---|
(fma.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) |
(/.f64 y (-.f64 -1 y)) |
| 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 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(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)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 -1 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (-.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 -1 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (-.f64 -1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (-.f64 -1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 -1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y))) (pow.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y))) 2) (cbrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (-.f64 -1 y))) (sqrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (neg.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (pow.f64 (/.f64 1 (neg.f64 (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1 y)) (pow.f64 (/.f64 1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -1 y)) -2) (/.f64 y (cbrt.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2)) (cbrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 -1 y) -1/2) (/.f64 y (sqrt.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 -1 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 -1 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 1 (*.f64 y y))) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 y (-.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 y) (-.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 y) 1) 1) (pow.f64 (/.f64 (sqrt.f64 y) (-.f64 -1 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 -1 y)) -2) 1) (pow.f64 (/.f64 y (cbrt.f64 (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2)) 1) (cbrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 -1 y) -1/2) 1) (pow.f64 (/.f64 y (sqrt.f64 (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (-.f64 -1 y))) 1) (pow.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (-.f64 -1 (pow.f64 y 3))) 1) (fma.f64 y (+.f64 y -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y (-.f64 1 (*.f64 y y))) 1) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 2) y) 1/3) (cbrt.f64 (/.f64 1 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 -1 y)) (cbrt.f64 (/.f64 y (-.f64 -1 y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y)))) 2) 3) (cbrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 y) y)) 2) -1) (cbrt.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 -1 y)) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 y)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 -1 y)) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 y) -2) -1) (pow.f64 (/.f64 (-.f64 -1 y) (cbrt.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 y)) 2) (pow.f64 (cbrt.f64 y) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 -1 y)) (cbrt.f64 y)) -1))))) (#(struct:change #<rule 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egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (-.f64 -1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 -1 y) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 -1 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 -1 y) y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 y (-.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (-.f64 -1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (-.f64 -1 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 y (-.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 -1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 y (-.f64 -1 y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 y (-.f64 -1 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 y (-.f64 -1 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 y) y)) -1)))))) |
| 1× | egg-herbie |
| 775× | fma-neg_binary64 |
| 425× | associate-*l*_binary64 |
| 384× | associate--l-_binary64 |
| 351× | sub-neg_binary64 |
| 332× | cancel-sign-sub-inv_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 698 |
| 1 | 188 | 633 |
| 2 | 600 | 503 |
| 3 | 2801 | 489 |
| 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))) |
(*.f64 -1 y) |
(+.f64 (pow.f64 y 2) (*.f64 -1 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y))) |
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (+.f64 (pow.f64 y 4) (*.f64 -1 y)))) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.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 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
| 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) 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) 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) y) (+.f64 1 y))) |
(/.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 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) 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) 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) y) (+.f64 1 y))) |
(/.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 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) 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) 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) y) (+.f64 1 y))) |
1 |
(+.f64 1 (*.f64 -1 (*.f64 y (-.f64 1 x)))) |
(+.f64 1 (*.f64 (neg.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) (*.f64 (neg.f64 y) (-.f64 1 x)))) |
(+.f64 1 (*.f64 (-.f64 1 x) (*.f64 y (+.f64 -1 y)))) |
(fma.f64 (-.f64 1 x) (*.f64 y (+.f64 -1 y)) 1) |
(fma.f64 (-.f64 1 x) (-.f64 (*.f64 y y) y) 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)) (*.f64 (neg.f64 (pow.f64 y 3)) (-.f64 1 x))))) |
(+.f64 1 (-.f64 (*.f64 (-.f64 1 x) (*.f64 y (+.f64 -1 y))) (*.f64 (-.f64 1 x) (pow.f64 y 3)))) |
(+.f64 1 (*.f64 (-.f64 1 x) (-.f64 (*.f64 y (+.f64 -1 y)) (pow.f64 y 3)))) |
(+.f64 1 (*.f64 (-.f64 1 x) (*.f64 y (-.f64 y (fma.f64 y y 1))))) |
(+.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 (+.f64 1 (/.f64 1 y)) (-.f64 1 x)) (/.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 (/.f64 1 y) (+.f64 1 (*.f64 -1 (+.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) (*.f64 y y)))))) (/.f64 x y)) |
(+.f64 (-.f64 (-.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y))) |
(+.f64 x (+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.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 1 y) (+.f64 (-.f64 1 (-.f64 1 x)) (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))) |
(+.f64 (+.f64 x (/.f64 (+.f64 -1 x) (*.f64 y y))) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3))))) |
(+.f64 x (+.f64 (+.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 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 (+.f64 1 (/.f64 1 y)) (-.f64 1 x)) (/.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 (/.f64 1 y) (+.f64 1 (*.f64 -1 (+.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) (*.f64 y y)))))) (/.f64 x y)) |
(+.f64 (-.f64 (-.f64 1 (-.f64 1 x)) (/.f64 (-.f64 1 x) (*.f64 y y))) (-.f64 (/.f64 1 y) (/.f64 x y))) |
(+.f64 x (+.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (/.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 1 y) (+.f64 (-.f64 1 (-.f64 1 x)) (-.f64 (-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))) |
(+.f64 (+.f64 x (/.f64 (+.f64 -1 x) (*.f64 y y))) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 (-.f64 1 x) y) (/.f64 x (pow.f64 y 3))))) |
(+.f64 x (+.f64 (+.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 -1 y) |
(neg.f64 y) |
(+.f64 (pow.f64 y 2) (*.f64 -1 y)) |
(+.f64 (*.f64 y y) (neg.f64 y)) |
(*.f64 y (+.f64 -1 y)) |
(-.f64 (*.f64 y y) y) |
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y))) |
(fma.f64 -1 (pow.f64 y 3) (+.f64 (*.f64 y y) (neg.f64 y))) |
(-.f64 (*.f64 y (+.f64 -1 y)) (pow.f64 y 3)) |
(*.f64 y (-.f64 y (fma.f64 y y 1))) |
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (+.f64 (pow.f64 y 4) (*.f64 -1 y)))) |
(fma.f64 -1 (pow.f64 y 3) (+.f64 (*.f64 y y) (+.f64 (neg.f64 y) (pow.f64 y 4)))) |
(-.f64 (-.f64 (fma.f64 y y (pow.f64 y 4)) y) (pow.f64 y 3)) |
(-.f64 (fma.f64 y (+.f64 -1 y) (pow.f64 y 4)) (pow.f64 y 3)) |
(*.f64 (+.f64 y (pow.f64 y 3)) (+.f64 -1 y)) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(+.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 (/.f64 1 y) (/.f64 (/.f64 1 y) y)) -1) |
(+.f64 -1 (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y))) |
(+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 (/.f64 1 y) y)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 -1 (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y)))) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(+.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 (/.f64 1 y) (/.f64 (/.f64 1 y) y)) -1) |
(+.f64 -1 (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y))) |
(+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 1 (/.f64 (/.f64 1 y) y)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 -1 (-.f64 (/.f64 1 y) (/.f64 (/.f64 1 y) y)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (+.f64 -1 (/.f64 (/.f64 -1 y) y)))) |
Compiled 5722 to 4210 computations (26.4% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 323 | 12 | 335 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 1 | 1 |
| Total | 324 | 13 | 337 |
| Status | Error | Program |
|---|---|---|
| 31.2b | (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1))) | |
| ▶ | 44.0b | (-.f64 1 (-.f64 1 x)) |
| 39.3b | x | |
| 42.6b | (/.f64 (*.f64 y x) (+.f64 1 y)) | |
| 25.0b | (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))) | |
| ▶ | 36.6b | (-.f64 1 (/.f64 y (+.f64 y 1))) |
| ▶ | 12.7b | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 3) |
| 33.3b | (*.f64 (/.f64 y (+.f64 y 1)) x) | |
| ✓ | 21.5b | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| ▶ | 31.5b | (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) |
| 32.6b | (-.f64 1 (-.f64 y (*.f64 y x))) | |
| ▶ | 31.5b | (+.f64 x (/.f64 (-.f64 1 x) y)) |
| 37.7b | 1 |
Compiled 257 to 189 computations (26.5% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) |
| ✓ | 0.2b | (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) |
| ✓ | 0.4b | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 3) |
| ✓ | 2.2b | (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
Compiled 65 to 47 computations (27.7% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | y | @ | inf | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 3) |
| 10.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 3) |
| 7.0ms | y | @ | -inf | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 3) |
| 3.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 3) |
| 3.0ms | y | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 3) |
| 1× | batch-egg-rewrite |
| 829× | prod-diff_binary64 |
| 632× | log-prod_binary64 |
| 338× | fma-def_binary64 |
| 224× | expm1-udef_binary64 |
| 222× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 63 |
| 1 | 279 | 63 |
| 2 | 3709 | 63 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y)) |
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 3) |
(cbrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) |
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 512× | fma-def_binary64 |
| 388× | associate-*r*_binary64 |
| 331× | associate-*l*_binary64 |
| 320× | *-commutative_binary64 |
| 282× | +-commutative_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 408 | 5632 |
| 1 | 1459 | 5132 |
| 2 | 6285 | 5070 |
| 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 (-.f64 1 (/.f64 y (+.f64 1 y))) (pow.f64 1 1/3)) |
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1) 1/9) (/.f64 y (+.f64 1 y)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1) 1/9) (/.f64 y (+.f64 1 y))))) x) (*.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) (pow.f64 1 1/3))) |
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1) 1/9) (/.f64 y (+.f64 1 y)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1) 1/9) (/.f64 y (+.f64 1 y))))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/9) (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 y) 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/9) (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 y) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/9) (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 y) 2)))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/9) (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 y) 2)))))) (pow.f64 x 2)) (*.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) (pow.f64 1 1/3)))) |
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1 |
(+.f64 1 (*.f64 (+.f64 (*.f64 2/3 (-.f64 x 1)) (*.f64 1/3 (-.f64 x 1))) y)) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/3 (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x))) (+.f64 (*.f64 1/9 (pow.f64 (-.f64 x 1) 2)) (+.f64 (*.f64 1/3 (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x))) (*.f64 2/9 (pow.f64 (-.f64 x 1) 2)))))) (*.f64 (+.f64 (*.f64 2/3 (-.f64 x 1)) (*.f64 1/3 (-.f64 x 1))) y))) |
(+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 1/9 (pow.f64 (-.f64 x 1) 2)) (*.f64 2/3 (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x)))) (-.f64 x 1))) (+.f64 (*.f64 1/3 (-.f64 x (+.f64 1 (+.f64 (*.f64 2/3 (*.f64 (-.f64 x 1) (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x)))) (*.f64 1/27 (pow.f64 (-.f64 x 1) 3)))))) (+.f64 (*.f64 2/3 (-.f64 x (+.f64 1 (+.f64 (*.f64 2/3 (*.f64 (-.f64 x 1) (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x)))) (*.f64 1/27 (pow.f64 (-.f64 x 1) 3)))))) (*.f64 4/9 (*.f64 (-.f64 x 1) (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x))))))) (pow.f64 y 3)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/3 (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x))) (+.f64 (*.f64 1/9 (pow.f64 (-.f64 x 1) 2)) (+.f64 (*.f64 1/3 (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x))) (*.f64 2/9 (pow.f64 (-.f64 x 1) 2)))))) (*.f64 (+.f64 (*.f64 2/3 (-.f64 x 1)) (*.f64 1/3 (-.f64 x 1))) y)))) |
(*.f64 (pow.f64 1 1/3) x) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (/.f64 (-.f64 1 x) y))) (+.f64 (*.f64 (pow.f64 1 1/3) x) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (/.f64 (-.f64 1 x) y))))) |
(+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 y 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (/.f64 (-.f64 1 x) y))) (+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 1 x) 2))))) (pow.f64 y 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 1 x) 2))))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (-.f64 1 x) 2)))) (pow.f64 y 2))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (/.f64 (-.f64 1 x) y)))))))) |
(+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (/.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 y 2)))) (+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 1 x) 2))))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (-.f64 1 x) 2)))) (pow.f64 y 2))) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (/.f64 (-.f64 1 x) y))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (-.f64 1 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 1 x) 2))))) (-.f64 1 x)))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (-.f64 1 x) 3))) x))) (pow.f64 y 3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (/.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 1 x) 2))))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (-.f64 1 x) 2)))) (-.f64 1 x)) (pow.f64 y 3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (/.f64 (-.f64 1 x) y))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 1 x) 2))))) (pow.f64 y 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 x) 1/3) (/.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9) (*.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 1 x) 2))))) (-.f64 1 x)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 1 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 1 x) 2))))) (-.f64 1 x)))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (-.f64 1 x) 3))) x)))))) (pow.f64 y 3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (/.f64 (*.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 1 x) 2))))) (-.f64 1 x)) (pow.f64 y 3))))))))))))) |
(*.f64 (pow.f64 1 1/3) x) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (-.f64 x 1))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (-.f64 x 1)))) y)) (*.f64 (pow.f64 1 1/3) x)) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (-.f64 x 1))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (-.f64 x 1)))) y)) (+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (/.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 y 2)))) (*.f64 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2)) (pow.f64 (*.f64 1 x) 1/3)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (-.f64 x 1))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 x 4)) 1/9) (-.f64 x 1)))) y)) (+.f64 (*.f64 (pow.f64 1 1/3) x) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (-.f64 x 1) 3))) (+.f64 (*.f64 -1 (-.f64 x 1)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (-.f64 x 1) (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2))))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2)))) (-.f64 x 1))))))))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (-.f64 x 1) 2)))) (-.f64 x 1)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2)))) (-.f64 x 1)))) (*.f64 (pow.f64 (*.f64 1 x) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (-.f64 x 1) 3))) (+.f64 (*.f64 -1 (-.f64 x 1)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (-.f64 x 1) (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2))))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2)))) (-.f64 x 1))))))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9) (*.f64 (-.f64 x 1) (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2))))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9) (*.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2)))) (-.f64 x 1)))))))))) (pow.f64 y 3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2)))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (/.f64 (pow.f64 (-.f64 x 1) 2) (pow.f64 y 2)))) (*.f64 (/.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 x) 1/3) (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2)) (pow.f64 (*.f64 1 x) 1/3))))))) |
(pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 1/3) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/9) (/.f64 (*.f64 y x) (+.f64 1 y)))) (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 1/3)) |
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 7)) 1/9) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 1 y) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/9) (/.f64 (*.f64 y x) (+.f64 1 y)))) (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 1/3))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/3) (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3))))) (pow.f64 x 3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 7)) 1/9) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 1 y) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/9) (/.f64 (*.f64 y x) (+.f64 1 y)))) (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 1/3)))) |
1 |
(+.f64 1 (*.f64 1/3 (*.f64 y (-.f64 x 1)))) |
(+.f64 1 (+.f64 (*.f64 1/3 (*.f64 y (-.f64 x 1))) (*.f64 1/3 (*.f64 (pow.f64 y 2) (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x)))))) |
(+.f64 1 (+.f64 (*.f64 1/3 (*.f64 y (-.f64 x 1))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 2) (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x)))) (*.f64 1/3 (*.f64 (pow.f64 y 3) (-.f64 x (+.f64 1 (+.f64 (*.f64 2/3 (*.f64 (-.f64 x 1) (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x)))) (*.f64 1/27 (pow.f64 (-.f64 x 1) 3)))))))))) |
(pow.f64 x 1/3) |
(+.f64 (pow.f64 x 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (/.f64 (-.f64 1 x) y)))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 1 x) 2))))) (pow.f64 y 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (/.f64 (-.f64 1 x) y))))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 1 x) 2))))) (pow.f64 y 2)))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (-.f64 1 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 1 x) 2))))) (-.f64 1 x)))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (-.f64 1 x) 3))) x))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (/.f64 (-.f64 1 x) y)))))) |
(pow.f64 x 1/3) |
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (/.f64 (-.f64 x 1) y)))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (/.f64 (-.f64 x 1) y))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2)))))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (/.f64 (-.f64 x 1) y))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (-.f64 x 1) 3))) (+.f64 (*.f64 -1 (-.f64 x 1)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (-.f64 x 1) (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2))))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2)))) (-.f64 x 1))))))) (pow.f64 y 3))))))) |
(/.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))) |
| 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 (+.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 (+.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 (*.f64 y x) (+.f64 1 y)) |
(/.f64 y (/.f64 (+.f64 1 y) x)) |
(-.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 (+.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 (+.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 (*.f64 y x) (+.f64 1 y)) |
(/.f64 y (/.f64 (+.f64 1 y) x)) |
(-.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 (+.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 (+.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)))) |
1 |
(+.f64 1 (*.f64 y (-.f64 x 1))) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(fma.f64 y (+.f64 x -1) 1) |
(+.f64 1 (+.f64 (*.f64 y (-.f64 x 1)) (*.f64 (pow.f64 y 2) (-.f64 1 x)))) |
(+.f64 1 (fma.f64 y (+.f64 x -1) (*.f64 (*.f64 y y) (-.f64 1 x)))) |
(+.f64 (fma.f64 y (+.f64 x -1) 1) (*.f64 y (*.f64 y (-.f64 1 x)))) |
(+.f64 (fma.f64 y (+.f64 x -1) 1) (*.f64 y (-.f64 y (*.f64 y 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))))) |
(fma.f64 (pow.f64 y 3) (+.f64 x -1) (+.f64 1 (fma.f64 y (+.f64 x -1) (*.f64 (*.f64 y y) (-.f64 1 x))))) |
(+.f64 (fma.f64 y (+.f64 x -1) (*.f64 y (*.f64 y (-.f64 1 x)))) (fma.f64 (+.f64 x -1) (pow.f64 y 3) 1)) |
(+.f64 (fma.f64 y (+.f64 x -1) (*.f64 y (-.f64 y (*.f64 y x)))) (fma.f64 (+.f64 x -1) (pow.f64 y 3) 1)) |
x |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y))) |
(+.f64 x (/.f64 (-.f64 1 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 1 y) (-.f64 (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x) (/.f64 x y))) |
(+.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (/.f64 (-.f64 1 x) y)) |
(+.f64 (+.f64 x (/.f64 (+.f64 x -1) (*.f64 y y))) (/.f64 (-.f64 1 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))) |
(-.f64 (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (fma.f64 -1 (/.f64 (-.f64 1 x) (*.f64 y y)) x)) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (-.f64 x (/.f64 (-.f64 1 x) (*.f64 y y))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))) |
(+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (+.f64 x (/.f64 (+.f64 x -1) (*.f64 y y))) (+.f64 (/.f64 x y) (/.f64 x (pow.f64 y 3)))))) |
x |
(+.f64 (*.f64 -1 (/.f64 (-.f64 x 1) y)) x) |
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 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))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) x) (/.f64 x (*.f64 y y))) (/.f64 1 (*.f64 y y))) |
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 x -1) (*.f64 y y))) |
(-.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 (/.f64 x (*.f64 y y)) (-.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) y) (fma.f64 -1 (/.f64 (+.f64 x -1) (pow.f64 y 3)) x)) (/.f64 1 (*.f64 y y)))) |
(+.f64 (+.f64 (-.f64 x (/.f64 (+.f64 x -1) (pow.f64 y 3))) (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 x -1) (*.f64 y y))) |
(*.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) (pow.f64 1 1/3)) |
(-.f64 1 (/.f64 y (+.f64 1 y))) |
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1) 1/9) (/.f64 y (+.f64 1 y)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1) 1/9) (/.f64 y (+.f64 1 y))))) x) (*.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) (pow.f64 1 1/3))) |
(fma.f64 (*.f64 (*.f64 (/.f64 y (+.f64 1 y)) (*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1/18))) 1) x (-.f64 1 (/.f64 y (+.f64 1 y)))) |
(fma.f64 x (*.f64 (/.f64 y (+.f64 1 y)) (*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1/18))) (-.f64 1 (/.f64 y (+.f64 1 y)))) |
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1) 1/9) (/.f64 y (+.f64 1 y)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1) 1/9) (/.f64 y (+.f64 1 y))))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/9) (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 y) 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/9) (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 y) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/9) (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 y) 2)))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/9) (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 y) 2)))))) (pow.f64 x 2)) (*.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) (pow.f64 1 1/3)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 y (+.f64 1 y)) (*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1/18))) 1) x (fma.f64 (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18)) (/.f64 (*.f64 y y) (pow.f64 (+.f64 1 y) 2))) (fma.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (*.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (+.f64 1 y) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18))) -1/9) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18)) (/.f64 (*.f64 y y) (pow.f64 (+.f64 1 y) 2))) 2/9))) (*.f64 x x) (-.f64 1 (/.f64 y (+.f64 1 y))))) |
(fma.f64 x (*.f64 (/.f64 y (+.f64 1 y)) (*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1/18))) (fma.f64 (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18) (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18) (/.f64 y (/.f64 (pow.f64 (+.f64 1 y) 2) y)))) (fma.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (*.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 1 y) 2) y)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18)) -1/9)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18)) (*.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 1 y) 2) y)) 2/9)))) (*.f64 x x) (-.f64 1 (/.f64 y (+.f64 1 y))))) |
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1) 1/9) (/.f64 y (+.f64 1 y)))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1) 1/9) (/.f64 y (+.f64 1 y))))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/9) (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 y) 2)))) (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 1) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/9) (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 y) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/9) (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 y) 2)))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/9) (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 y) 2)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/3) (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3))))))) (+.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 1) 1/3) (+.f64 (*.f64 -2/27 (*.f64 (/.f64 (pow.f64 y 3) (*.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) (pow.f64 (+.f64 1 y) 3))) (pow.f64 1 1/9))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/3) (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3))))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/9) (/.f64 (*.f64 y (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/9) (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 y) 2)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/9) (/.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 y) 2)))))) (+.f64 1 y)))) (*.f64 -2/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3)))))))) (pow.f64 x 3)) (*.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) (pow.f64 1 1/3))))) |
(fma.f64 (*.f64 (*.f64 (/.f64 y (+.f64 1 y)) (*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1/18))) 1) x (fma.f64 (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18)) (/.f64 (*.f64 y y) (pow.f64 (+.f64 1 y) 2))) (fma.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (*.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (+.f64 1 y) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18))) -1/9) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18)) (/.f64 (*.f64 y y) (pow.f64 (+.f64 1 y) 2))) 2/9))) (*.f64 x x) (fma.f64 (+.f64 (*.f64 -1/3 (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (*.f64 1 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3)))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3)))))) (fma.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (fma.f64 -2/27 (*.f64 1 (/.f64 (pow.f64 y 3) (*.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) (pow.f64 (+.f64 1 y) 3)))) (*.f64 -2/3 (*.f64 (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (*.f64 1 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3)))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3))))) (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))))))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/18)) (/.f64 y (/.f64 (+.f64 1 y) (*.f64 (*.f64 (/.f64 (*.f64 y y) (pow.f64 (+.f64 1 y) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18))) -1/9)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (*.f64 1 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3)))) -2/27)))) (pow.f64 x 3) (-.f64 1 (/.f64 y (+.f64 1 y)))))) |
(fma.f64 x (*.f64 (/.f64 y (+.f64 1 y)) (*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1/18))) (fma.f64 (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18) (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18) (/.f64 y (/.f64 (pow.f64 (+.f64 1 y) 2) y)))) (fma.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (*.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 1 y) 2) y)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18)) -1/9)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18)) (*.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 1 y) 2) y)) 2/9)))) (*.f64 x x) (fma.f64 (fma.f64 -1/3 (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3)) 1/27))) (fma.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (fma.f64 -2/3 (*.f64 (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3)) 1/27))) (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))))) (*.f64 -2/27 (/.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3)) (-.f64 1 (/.f64 y (+.f64 1 y)))))) (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/18))) (*.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 1 y) 2) y)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18)) -1/9))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3)) -2/27))))) (pow.f64 x 3) (-.f64 1 (/.f64 y (+.f64 1 y)))))) |
(fma.f64 x (*.f64 (/.f64 y (+.f64 1 y)) (*.f64 (pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4) 1/18))) (fma.f64 (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18) (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18) (/.f64 y (/.f64 (pow.f64 (+.f64 1 y) 2) y)))) (fma.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (*.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 1 y) 2) y)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18)) -1/9)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18) (pow.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))) 1/18)) (*.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 1 y) 2) y)) 2/9)))) (*.f64 x x) (fma.f64 (fma.f64 -1/3 (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (pow.f64 (/.f64 y (+.f64 1 y)) 3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (*.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 3) 1/27))) (fma.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) (fma.f64 -2/3 (*.f64 (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (pow.f64 (/.f64 y (+.f64 1 y)) 3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (*.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 3) 1/27))) (cbrt.f64 (/.f64 1 (-.f64 1 (/.f64 y (+.f64 1 y)))))) (*.f64 -2/27 (/.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 3) (-.f64 1 (/.f64 y (+.f64 1 y)))))) (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/18))) (*.f64 (/.f64 y (+.f64 1 y)) (*.f64 (/.f64 y (/.f64 (pow.f64 (+.f64 1 y) 2) y)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 4)) 1/18)) -1/9))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (*.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 3) -2/27))))) (pow.f64 x 3) (-.f64 1 (/.f64 y (+.f64 1 y)))))) |
1 |
(+.f64 1 (*.f64 (+.f64 (*.f64 2/3 (-.f64 x 1)) (*.f64 1/3 (-.f64 x 1))) y)) |
(+.f64 1 (*.f64 y (+.f64 x -1))) |
(fma.f64 y (+.f64 x -1) 1) |
(+.f64 1 (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/3 (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x))) (+.f64 (*.f64 1/9 (pow.f64 (-.f64 x 1) 2)) (+.f64 (*.f64 1/3 (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x))) (*.f64 2/9 (pow.f64 (-.f64 x 1) 2)))))) (*.f64 (+.f64 (*.f64 2/3 (-.f64 x 1)) (*.f64 1/3 (-.f64 x 1))) y))) |
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(+.f64 1 (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 1/9 (pow.f64 (-.f64 x 1) 2)) (*.f64 2/3 (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x)))) (-.f64 x 1))) (+.f64 (*.f64 1/3 (-.f64 x (+.f64 1 (+.f64 (*.f64 2/3 (*.f64 (-.f64 x 1) (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x)))) (*.f64 1/27 (pow.f64 (-.f64 x 1) 3)))))) (+.f64 (*.f64 2/3 (-.f64 x (+.f64 1 (+.f64 (*.f64 2/3 (*.f64 (-.f64 x 1) (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x)))) (*.f64 1/27 (pow.f64 (-.f64 x 1) 3)))))) (*.f64 4/9 (*.f64 (-.f64 x 1) (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x))))))) (pow.f64 y 3)) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/3 (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x))) (+.f64 (*.f64 1/9 (pow.f64 (-.f64 x 1) 2)) (+.f64 (*.f64 1/3 (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x))) (*.f64 2/9 (pow.f64 (-.f64 x 1) 2)))))) (*.f64 (+.f64 (*.f64 2/3 (-.f64 x 1)) (*.f64 1/3 (-.f64 x 1))) y)))) |
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x |
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(*.f64 (pow.f64 1 1/3) x) |
x |
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(fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 7)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 7)) 1/18) (/.f64 y (/.f64 (/.f64 (pow.f64 (+.f64 1 y) 2) (*.f64 x x)) y)))) (fma.f64 1/3 (*.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/18))) (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/3) (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3))))) (pow.f64 x 3)))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 7)) 1/9) (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 1 y) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/9) (/.f64 (*.f64 y x) (+.f64 1 y)))) (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 1/3)))) |
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (*.f64 (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (*.f64 1 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3)))) (*.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3))))) (pow.f64 x 3))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 7)) 1/18)) (/.f64 (*.f64 (*.f64 y y) (*.f64 x x)) (pow.f64 (+.f64 1 y) 2))) (fma.f64 1/3 (*.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/18))) (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y))))))) |
(fma.f64 -1/3 (*.f64 (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 y) 3)) 1/27))) (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))))) (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 7)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 7)) 1/18) (/.f64 y (/.f64 (/.f64 (pow.f64 (+.f64 1 y) 2) (*.f64 x x)) y)))) (fma.f64 1/3 (*.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/18))) (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y))))))) |
(fma.f64 -1/3 (*.f64 (fma.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (pow.f64 (/.f64 y (+.f64 1 y)) 3)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))) (*.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 3) 1/27))) (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2))))) (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 7)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 7)) 1/18) (/.f64 y (/.f64 (/.f64 (pow.f64 (+.f64 1 y) 2) (*.f64 x x)) y)))) (fma.f64 1/3 (*.f64 (/.f64 y (/.f64 (+.f64 1 y) x)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 1 (/.f64 y (+.f64 1 y))) 2)) 1/18))) (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y))))))) |
1 |
(+.f64 1 (*.f64 1/3 (*.f64 y (-.f64 x 1)))) |
(+.f64 1 (*.f64 (*.f64 y (+.f64 x -1)) 1/3)) |
(fma.f64 (*.f64 y 1/3) (+.f64 x -1) 1) |
(+.f64 1 (+.f64 (*.f64 1/3 (*.f64 y (-.f64 x 1))) (*.f64 1/3 (*.f64 (pow.f64 y 2) (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x)))))) |
(+.f64 1 (*.f64 1/3 (+.f64 (*.f64 y (+.f64 x -1)) (*.f64 (*.f64 y y) (-.f64 1 (fma.f64 1/3 (pow.f64 (+.f64 x -1) 2) x)))))) |
(fma.f64 1/3 (fma.f64 y (+.f64 x -1) (*.f64 y (*.f64 y (-.f64 1 (fma.f64 1/3 (pow.f64 (+.f64 x -1) 2) x))))) 1) |
(+.f64 1 (+.f64 (*.f64 1/3 (*.f64 y (-.f64 x 1))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 y 2) (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x)))) (*.f64 1/3 (*.f64 (pow.f64 y 3) (-.f64 x (+.f64 1 (+.f64 (*.f64 2/3 (*.f64 (-.f64 x 1) (-.f64 1 (+.f64 (*.f64 1/3 (pow.f64 (-.f64 x 1) 2)) x)))) (*.f64 1/27 (pow.f64 (-.f64 x 1) 3)))))))))) |
(+.f64 1 (fma.f64 1/3 (*.f64 y (+.f64 x -1)) (*.f64 1/3 (+.f64 (*.f64 (*.f64 y y) (-.f64 1 (fma.f64 1/3 (pow.f64 (+.f64 x -1) 2) x))) (*.f64 (pow.f64 y 3) (-.f64 (+.f64 x -1) (fma.f64 2/3 (*.f64 (+.f64 x -1) (-.f64 1 (fma.f64 1/3 (pow.f64 (+.f64 x -1) 2) x))) (*.f64 1/27 (pow.f64 (+.f64 x -1) 3))))))))) |
(+.f64 1 (*.f64 1/3 (+.f64 (fma.f64 y (+.f64 x -1) (*.f64 y (*.f64 y (-.f64 1 (fma.f64 1/3 (pow.f64 (+.f64 x -1) 2) x))))) (*.f64 (pow.f64 y 3) (-.f64 (+.f64 x -1) (fma.f64 2/3 (*.f64 (+.f64 x -1) (-.f64 1 (fma.f64 1/3 (pow.f64 (+.f64 x -1) 2) x))) (*.f64 1/27 (pow.f64 (+.f64 x -1) 3)))))))) |
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(+.f64 (pow.f64 x 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (/.f64 (-.f64 1 x) y)))) |
(+.f64 (cbrt.f64 x) (*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))))) |
(fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (/.f64 (-.f64 1 x) y))) (cbrt.f64 x)) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 1 x) 2))))) (pow.f64 y 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (/.f64 (-.f64 1 x) y))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/3 (*.f64 (/.f64 (+.f64 (-.f64 1 x) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (pow.f64 (-.f64 1 x) 2)))) (*.f64 y y)) (cbrt.f64 (/.f64 1 (*.f64 x x)))) (*.f64 1/3 (*.f64 (/.f64 (-.f64 1 x) y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/3 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (*.f64 y y) (+.f64 1 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (pow.f64 (-.f64 1 x) 2)) (neg.f64 x))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (/.f64 (-.f64 1 x) y)))))) |
(+.f64 (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (/.f64 (-.f64 1 x) y))) (cbrt.f64 x)) (/.f64 (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (*.f64 x x)))) (fma.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (-.f64 1 x))) (*.f64 y y))) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 1 x) 2))))) (pow.f64 y 2)))) (+.f64 (*.f64 1/3 (*.f64 (/.f64 (-.f64 1 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (+.f64 1 (+.f64 (*.f64 -1 x) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 1 x) 2))))) (-.f64 1 x)))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (-.f64 1 x) 3))) x))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (/.f64 (-.f64 1 x) y)))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/3 (*.f64 (/.f64 (+.f64 (-.f64 1 x) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (pow.f64 (-.f64 1 x) 2)))) (*.f64 y y)) (cbrt.f64 (/.f64 1 (*.f64 x x)))) (*.f64 1/3 (+.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (fma.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (*.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (pow.f64 (-.f64 1 x) 2)))))) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 3)) x))) (pow.f64 y 3))) (*.f64 (/.f64 (-.f64 1 x) y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))))))) |
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (fma.f64 -2/3 (*.f64 (-.f64 1 x) (*.f64 (+.f64 1 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (pow.f64 (-.f64 1 x) 2)) (neg.f64 x))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)))) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 3)) x))) (pow.f64 y 3)) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (/.f64 (-.f64 1 x) y)))) (*.f64 -1/3 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (*.f64 y y) (+.f64 1 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18)) (pow.f64 (-.f64 1 x) 2)) (neg.f64 x)))))))) |
(+.f64 (cbrt.f64 x) (fma.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (-.f64 1 (fma.f64 -2/3 (*.f64 (-.f64 1 x) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (fma.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (-.f64 1 x)))) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (pow.f64 (-.f64 1 x) 3)) x))) (pow.f64 y 3)) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (/.f64 (-.f64 1 x) y)))) (/.f64 (*.f64 (*.f64 -1/3 (cbrt.f64 (/.f64 1 (*.f64 x x)))) (fma.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (-.f64 1 x))) (*.f64 y y)))) |
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(+.f64 (pow.f64 x 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (/.f64 (-.f64 x 1) y)))) |
(+.f64 (cbrt.f64 x) (*.f64 -1/3 (*.f64 (/.f64 (+.f64 x -1) y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))))) |
(fma.f64 -1/3 (*.f64 (/.f64 (+.f64 x -1) y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (cbrt.f64 x)) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (/.f64 (-.f64 x 1) y))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2)))))) |
(+.f64 (cbrt.f64 x) (*.f64 -1/3 (+.f64 (*.f64 (/.f64 (+.f64 x -1) y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (fma.f64 -1 (+.f64 x -1) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (pow.f64 (+.f64 x -1) 2))) (*.f64 y y)))))) |
(fma.f64 -1/3 (fma.f64 (/.f64 (+.f64 x -1) y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (*.f64 y y) (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (pow.f64 (+.f64 x -1) 2) (-.f64 1 x))))) (cbrt.f64 x)) |
(fma.f64 -1/3 (fma.f64 (/.f64 (+.f64 x -1) y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (*.f64 y y) (fma.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (-.f64 1 x))))) (cbrt.f64 x)) |
(+.f64 (pow.f64 x 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9) (/.f64 (-.f64 x 1) y))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2)))) (pow.f64 y 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (/.f64 (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (pow.f64 (-.f64 x 1) 3))) (+.f64 (*.f64 -1 (-.f64 x 1)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (-.f64 x 1) (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2))))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/9) (*.f64 (+.f64 (*.f64 -1 (-.f64 x 1)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/9) (pow.f64 (-.f64 x 1) 2)))) (-.f64 x 1))))))) (pow.f64 y 3))))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/3 (*.f64 (/.f64 (+.f64 x -1) y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))) (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (fma.f64 -1 (+.f64 x -1) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (pow.f64 (+.f64 x -1) 2))) (*.f64 y y))) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 x x)))) (/.f64 (fma.f64 1/27 (*.f64 (pow.f64 (+.f64 x -1) 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))) (fma.f64 -1 (+.f64 x -1) (*.f64 -1/3 (+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (+.f64 x -1)) (fma.f64 -1 (+.f64 x -1) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (pow.f64 (+.f64 x -1) 2)))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (+.f64 x -1)) (fma.f64 -1 (+.f64 x -1) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (pow.f64 (+.f64 x -1) 2)))))))) (pow.f64 y 3)))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/3 (fma.f64 (/.f64 (+.f64 x -1) y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (*.f64 y y) (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (pow.f64 (+.f64 x -1) 2) (-.f64 1 x))))) (*.f64 1/3 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (pow.f64 y 3) (+.f64 (*.f64 (*.f64 (+.f64 x -1) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (fma.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (pow.f64 (+.f64 x -1) 2) (-.f64 1 x)))) -2/3) (fma.f64 (*.f64 1/27 (cbrt.f64 (/.f64 1 (*.f64 x x)))) (pow.f64 (+.f64 x -1) 3) (-.f64 1 x)))))))) |
(+.f64 (cbrt.f64 x) (fma.f64 -1/3 (fma.f64 (/.f64 (+.f64 x -1) y) (*.f64 (pow.f64 (/.f64 1 (*.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18)) (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (*.f64 y y) (fma.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (-.f64 1 x))))) (*.f64 1/3 (/.f64 (cbrt.f64 (/.f64 1 (*.f64 x x))) (/.f64 (pow.f64 y 3) (fma.f64 1/27 (*.f64 (pow.f64 (+.f64 x -1) 3) (cbrt.f64 (/.f64 1 (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/18)) (-.f64 (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 x) 1/18) (pow.f64 (/.f64 1 x) 1/18))) (pow.f64 (+.f64 x -1) 3)) (pow.f64 (+.f64 x -1) 2))) -2/3 (-.f64 1 x)))))))) |
(/.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)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(-.f64 (/.f64 y (+.f64 1 y)) (/.f64 y (/.f64 (+.f64 1 y) x))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(-.f64 (/.f64 y (+.f64 1 y)) (/.f64 y (/.f64 (+.f64 1 y) x))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(-.f64 (/.f64 y (+.f64 1 y)) (/.f64 y (/.f64 (+.f64 1 y) x))) |
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))) |
(neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))) |
(/.f64 (neg.f64 y) (/.f64 (+.f64 1 y) x)) |
(/.f64 (neg.f64 x) (/.f64 (+.f64 1 y) y)) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(-.f64 (/.f64 y (+.f64 1 y)) (/.f64 y (/.f64 (+.f64 1 y) x))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(-.f64 (/.f64 y (+.f64 1 y)) (/.f64 y (/.f64 (+.f64 1 y) x))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(-.f64 (/.f64 y (+.f64 1 y)) (/.f64 y (/.f64 (+.f64 1 y) x))) |
(*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y))) |
(neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x))) |
(/.f64 (neg.f64 y) (/.f64 (+.f64 1 y) x)) |
(/.f64 (neg.f64 x) (/.f64 (+.f64 1 y) y)) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(-.f64 (/.f64 y (+.f64 1 y)) (/.f64 y (/.f64 (+.f64 1 y) x))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(-.f64 (/.f64 y (+.f64 1 y)) (/.f64 y (/.f64 (+.f64 1 y) x))) |
(+.f64 (/.f64 y (+.f64 1 y)) (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 1 y)))) |
(+.f64 (/.f64 y (+.f64 1 y)) (neg.f64 (/.f64 y (/.f64 (+.f64 1 y) x)))) |
(-.f64 (/.f64 y (+.f64 1 y)) (/.f64 y (/.f64 (+.f64 1 y) 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 x -1) (*.f64 y 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 x -1) (*.f64 y y)))) |
(+.f64 (*.f64 (+.f64 x -1) (*.f64 y y)) (*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) y))) |
(+.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 x -1) (+.f64 (*.f64 y y) (pow.f64 y 4))) (*.f64 (-.f64 1 x) (+.f64 (pow.f64 y 3) y))) |
(-.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 x -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 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 x -1) 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 y y)) (+.f64 1 (/.f64 x y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 x (*.f64 y y))) (+.f64 x (/.f64 1 (pow.f64 y 3)))))) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 (+.f64 x -1) y)))) (+.f64 x (+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 x (*.f64 y y))))) |
(-.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 x -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 (fma.f64 -1 (/.f64 (+.f64 x -1) (*.f64 y y)) (+.f64 1 (/.f64 x y))) (+.f64 x (/.f64 1 y))) |
(+.f64 (/.f64 (-.f64 1 x) (*.f64 y y)) (+.f64 1 (-.f64 (/.f64 (+.f64 x -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 (/.f64 x (pow.f64 y 3)) (-.f64 (fma.f64 -1 (/.f64 (+.f64 x -1) (*.f64 y y)) (+.f64 1 (/.f64 x y))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) x))) |
(-.f64 (+.f64 (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 (+.f64 x -1) (*.f64 y y))) (+.f64 1 (/.f64 (+.f64 x -1) y))) (+.f64 x (/.f64 1 (pow.f64 y 3)))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.9b | (-.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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (-.f64 1 x) y) |
Compiled 20 to 12 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | x | @ | -inf | (/.f64 (-.f64 1 x) y) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1 x) y) |
| 0.0ms | y | @ | -inf | (/.f64 (-.f64 1 x) y) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 1 x) y) |
| 0.0ms | y | @ | inf | (/.f64 (-.f64 1 x) y) |
| 1× | batch-egg-rewrite |
| 756× | pow1_binary64 |
| 706× | add-log-exp_binary64 |
| 706× | log1p-expm1-u_binary64 |
| 706× | expm1-log1p-u_binary64 |
| 692× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 7 |
| 1 | 130 | 7 |
| 2 | 1797 | 7 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 1 x) y) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 y) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) y)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) 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 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) y)) (sqrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (-.f64 1 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 y)))))) (#(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) 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 y (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 y)))))) (#(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 (exp.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 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))))))) |
| 1× | egg-herbie |
| 202× | fma-def_binary64 |
| 125× | fma-neg_binary64 |
| 44× | cancel-sign-sub-inv_binary64 |
| 31× | distribute-rgt-in_binary64 |
| 26× | unsub-neg_binary64 |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 124 |
| 1 | 16 | 106 |
| 2 | 25 | 106 |
| 3 | 35 | 106 |
| 4 | 48 | 106 |
| 5 | 74 | 106 |
| 6 | 130 | 106 |
| 7 | 253 | 106 |
| 8 | 494 | 79 |
| 9 | 732 | 79 |
| 10 | 829 | 79 |
| 11 | 895 | 79 |
| 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))) |
| 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 y) (/.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 y) (/.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 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.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 y) (/.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 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 1 y) (neg.f64 (/.f64 x y))) |
(-.f64 (/.f64 1 y) (/.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 y) (/.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 y) (/.f64 x y)) |
(/.f64 (-.f64 1 x) y) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 y (+.f64 y 1)) |
| ✓ | 2.2b | (-.f64 1 (/.f64 y (+.f64 y 1))) |
Compiled 19 to 13 computations (31.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (-.f64 1 (/.f64 y (+.f64 y 1))) |
| 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 | @ | 0 | (/.f64 y (+.f64 y 1)) |
| 0.0ms | y | @ | inf | (/.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 | 17 |
| 1 | 138 | 17 |
| 2 | 2016 | 17 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (/.f64 y (+.f64 y 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)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 1 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (exp.f64 (neg.f64 (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (exp.f64 (neg.f64 (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) 2) (cbrt.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (exp.f64 (neg.f64 (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) (sqrt.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (log1p.f64 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (/.f64 y (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (cbrt.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 1 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 y))) (/.f64 y (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 1 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 (pow.f64 y 3))) (fma.f64 y y (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 y y -1)) (+.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 y) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (log1p.f64 y))))))) |
| 1× | egg-herbie |
| 491× | fma-def_binary64 |
| 414× | sub-neg_binary64 |
| 400× | associate-/r*_binary64 |
| 275× | distribute-rgt-in_binary64 |
| 238× | distribute-lft-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 321 |
| 1 | 108 | 309 |
| 2 | 294 | 301 |
| 3 | 873 | 296 |
| 4 | 3428 | 294 |
| 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)))) |
y |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4))))) |
1 |
(-.f64 1 (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
1 |
(-.f64 1 (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
| 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)) |
(-.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 (-.f64 (fma.f64 y y 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 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 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))) (/.f64 1 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 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (+.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 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 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 (*.f64 y y)) (/.f64 -1 (pow.f64 y 3))) (/.f64 1 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 1 y) (-.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 (pow.f64 y 4))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (+.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))))) |
y |
(+.f64 (*.f64 -1 (pow.f64 y 2)) y) |
(fma.f64 -1 (*.f64 y y) y) |
(-.f64 y (*.f64 y y)) |
(*.f64 y (-.f64 1 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y)) |
(fma.f64 -1 (*.f64 y y) (+.f64 y (pow.f64 y 3))) |
(+.f64 y (*.f64 (*.f64 y y) (+.f64 -1 y))) |
(fma.f64 (*.f64 y y) (+.f64 -1 y) y) |
(fma.f64 (-.f64 1 y) y (pow.f64 y 3)) |
(*.f64 y (-.f64 (fma.f64 y y 1) y)) |
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (*.f64 -1 (pow.f64 y 4))))) |
(fma.f64 -1 (*.f64 y y) (+.f64 (pow.f64 y 3) (+.f64 y (neg.f64 (pow.f64 y 4))))) |
(-.f64 (+.f64 (pow.f64 y 3) (-.f64 y (pow.f64 y 4))) (*.f64 y y)) |
(-.f64 (fma.f64 (*.f64 y y) (+.f64 -1 y) y) (pow.f64 y 4)) |
(*.f64 (fma.f64 y y 1) (*.f64 y (-.f64 1 y))) |
(*.f64 (-.f64 1 y) (+.f64 y (pow.f64 y 3))) |
1 |
(-.f64 1 (/.f64 1 y)) |
(+.f64 1 (/.f64 -1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) |
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))) |
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 (*.f64 y y))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))) (/.f64 1 (pow.f64 y 3))) |
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (-.f64 1 (/.f64 1 (pow.f64 y 3))))) |
(-.f64 (+.f64 (/.f64 -1 y) (+.f64 1 (/.f64 -1 (pow.f64 y 3)))) (/.f64 -1 (*.f64 y y))) |
(+.f64 (-.f64 1 (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))) |
1 |
(-.f64 1 (/.f64 1 y)) |
(+.f64 1 (/.f64 -1 y)) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y)) |
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))) |
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 1 (/.f64 -1 y))) |
(-.f64 1 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))) |
(-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 -1 (*.f64 y y))) |
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3)))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))) (/.f64 1 (pow.f64 y 3))) |
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (pow.f64 y 3)))) |
(+.f64 (/.f64 1 (*.f64 y y)) (+.f64 (/.f64 -1 y) (-.f64 1 (/.f64 1 (pow.f64 y 3))))) |
(-.f64 (+.f64 (/.f64 -1 y) (+.f64 1 (/.f64 -1 (pow.f64 y 3)))) (/.f64 -1 (*.f64 y y))) |
(+.f64 (-.f64 1 (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 -1 y) (/.f64 -1 (pow.f64 y 3)))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.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)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | 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 | 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)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)) |
| 1× | batch-egg-rewrite |
| 543× | log-prod_binary64 |
| 406× | pow-prod-down_binary64 |
| 323× | prod-diff_binary64 |
| 292× | pow2_binary64 |
| 249× | fma-def_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 30 |
| 1 | 223 | 30 |
| 2 | 3265 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1)) |
(/.f64 (+.f64 -1 x) y) |
(+.f64 (/.f64 1 y) -1) |
| Outputs |
|---|
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((#(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 (exp.f64 (/.f64 (+.f64 -1 x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -1 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -1 x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.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 -1 x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 -1 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 -1 x) y)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 x) y) 2)) (cbrt.f64 (/.f64 (+.f64 -1 x) 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 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (+.f64 -1 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 -1 x) y)) (sqrt.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 x)) (*.f64 (sqrt.f64 (+.f64 -1 x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x 1) (/.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)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) 1) (/.f64 (sqrt.f64 (+.f64 -1 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (+.f64 -1 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 -1 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 -1 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 -1 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 -1 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 x) (cbrt.f64 (pow.f64 y -2))) (pow.f64 (cbrt.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 -1 x) (pow.f64 y -1/2)) (pow.f64 y -1/2))))) (#(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 y (+.f64 -1 x)) -1)))) (#(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 (/.f64 y (+.f64 -1 x)) 1) -1)))) (#(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 pow.f64 (*.f64 (pow.f64 (cbrt.f64 y) -1) (cbrt.f64 (+.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y -1/2) (sqrt.f64 (+.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 x) (neg.f64 y)))))) (#(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 (exp.f64 (/.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 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 -.f64 (/.f64 1 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) 1)) (/.f64 1 (+.f64 (/.f64 1 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 2)) (cbrt.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) (sqrt.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 y -3)) (/.f64 1 (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y -2) -1) (/.f64 1 (+.f64 (/.f64 1 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y -1/2) 1) (-.f64 (pow.f64 y -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 -1 y))) (+.f64 -1 (pow.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 y) 1) (+.f64 (pow.f64 y -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 y -3)) (+.f64 1 (-.f64 (pow.f64 y -2) (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y -2) -1) (+.f64 (/.f64 1 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 y -3))) (neg.f64 (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 -1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y -2) -1)) (neg.f64 (+.f64 (/.f64 1 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 y -2)) (-.f64 -1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 -1 y))) (+.f64 -1 (pow.f64 y -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 1 y) 1) (+.f64 (pow.f64 y -2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (neg.f64 (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -1) (cbrt.f64 (pow.f64 y -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (pow.f64 (cbrt.f64 y) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) -2) (pow.f64 (cbrt.f64 y) -1) -1))))) |
| 1× | egg-herbie |
| 474× | div-sub_binary64 |
| 444× | distribute-neg-frac_binary64 |
| 442× | fma-neg_binary64 |
| 368× | fma-def_binary64 |
| 312× | times-frac_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 798 |
| 1 | 68 | 706 |
| 2 | 154 | 578 |
| 3 | 385 | 570 |
| 4 | 1285 | 570 |
| 5 | 4943 | 570 |
| 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 y) |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) 1) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) 1) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) 1) |
| 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 1 y) -1) (/.f64 y x)) |
(/.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 y x)) |
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 1 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 1 y) -1) (/.f64 y x)) |
(/.f64 (+.f64 -1 (/.f64 1 y)) (/.f64 y x)) |
(*.f64 (/.f64 x y) (+.f64 -1 (/.f64 1 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)) |
(*.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)) |
(*.f64 (/.f64 (-.f64 1 (/.f64 1 y)) y) (-.f64 1 x)) |
(/.f64 (-.f64 x 1) (pow.f64 y 2)) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.f64 y y)) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(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 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(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 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(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 -1 (/.f64 (-.f64 x 1) y)) |
(neg.f64 (/.f64 (+.f64 x -1) y)) |
(/.f64 (neg.f64 (+.f64 -1 x)) y) |
(/.f64 (fma.f64 -1 x 1) y) |
(/.f64 (-.f64 1 x) y) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(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 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(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 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(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 -1 (/.f64 (-.f64 x 1) y)) |
(neg.f64 (/.f64 (+.f64 x -1) y)) |
(/.f64 (neg.f64 (+.f64 -1 x)) y) |
(/.f64 (fma.f64 -1 x 1) y) |
(/.f64 (-.f64 1 x) y) |
(-.f64 (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(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 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(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 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (-.f64 x 1) y))) (/.f64 1 (pow.f64 y 2))) |
(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 -1 y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 x y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(-.f64 (/.f64 x y) (/.f64 1 y)) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 (-.f64 x 1) y) |
(/.f64 (+.f64 x -1) y) |
(/.f64 (+.f64 -1 x) y) |
(/.f64 1 y) |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(+.f64 -1 (/.f64 1 y)) |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(+.f64 -1 (/.f64 1 y)) |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(+.f64 -1 (/.f64 1 y)) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(+.f64 -1 (/.f64 1 y)) |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(+.f64 -1 (/.f64 1 y)) |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(+.f64 -1 (/.f64 1 y)) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(+.f64 -1 (/.f64 1 y)) |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(+.f64 -1 (/.f64 1 y)) |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(+.f64 -1 (/.f64 1 y)) |
Compiled 14738 to 11317 computations (23.2% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 549 | 9 | 558 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 2 | 5 |
| Total | 555 | 16 | 571 |
| Status | Error | Program |
|---|---|---|
| 39.3b | x | |
| ✓ | 36.6b | (-.f64 1 (/.f64 y (+.f64 y 1))) |
| ▶ | 37.9b | (-.f64 1 y) |
| ▶ | 31.2b | (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1))) |
| 39.5b | (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) | |
| ▶ | 33.3b | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| 39.1b | (+.f64 x (/.f64 (neg.f64 x) y)) | |
| 54.9b | (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) | |
| ✓ | 21.5b | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 37.0b | (exp.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y)))) | |
| 36.6b | (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) 3) | |
| ▶ | 31.6b | (+.f64 x (/.f64 1 y)) |
| 32.6b | (-.f64 1 (-.f64 y (*.f64 y x))) | |
| 54.5b | (/.f64 1 y) | |
| ▶ | 42.6b | (/.f64 (*.f64 y x) (+.f64 1 y)) |
| 37.7b | 1 |
Compiled 266 to 190 computations (28.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (-.f64 1 x) y) | |
| ✓ | 0.0b | (+.f64 (/.f64 -1 y) 1) |
| ✓ | 0.1b | (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)) |
| ✓ | 5.8b | (/.f64 (+.f64 -1 x) (*.f64 y y)) |
Compiled 76 to 46 computations (39.5% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | (/.f64 (+.f64 -1 x) (*.f64 y y)) |
| 1.0ms | x | @ | -inf | (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 -1 x) (*.f64 y y)) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (+.f64 -1 x) (*.f64 y y)) (+.f64 (/.f64 -1 y) 1)) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 -1 x) (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 648× | prod-diff_binary64 |
| 598× | log-prod_binary64 |
| 291× | fma-def_binary64 |
| 272× | log-div_binary64 |
| 210× | log1p-udef_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 36 |
| 1 | 248 | 36 |
| 2 | 3686 | 36 |
| 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 -1 y) 1) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 624× | div-sub_binary64 |
| 544× | unsub-neg_binary64 |
| 403× | distribute-neg-frac_binary64 |
| 305× | associate-/r/_binary64 |
| 277× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 991 |
| 1 | 80 | 937 |
| 2 | 214 | 716 |
| 3 | 606 | 711 |
| 4 | 2553 | 711 |
| 5 | 6132 | 711 |
| 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 -1 y) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 1 (/.f64 1 y)) |
1 |
(-.f64 1 (/.f64 1 y)) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 1 (/.f64 1 y)) |
1 |
(-.f64 1 (/.f64 1 y)) |
(-.f64 1 (/.f64 1 y)) |
(-.f64 1 (/.f64 1 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 -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 y y) (+.f64 1 (/.f64 -1 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 y y) (+.f64 1 (/.f64 -1 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 y y) (+.f64 1 (/.f64 -1 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 y y) (+.f64 1 (/.f64 -1 y)))) |
(/.f64 (+.f64 x (/.f64 (neg.f64 x) 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 y y) (+.f64 1 (/.f64 -1 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 y y) (+.f64 1 (/.f64 -1 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 y y) (+.f64 1 (/.f64 -1 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 y y) (+.f64 1 (/.f64 -1 y)))) |
(/.f64 (+.f64 x (/.f64 (neg.f64 x) 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 y y) (+.f64 1 (/.f64 -1 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 y y) (+.f64 1 (/.f64 -1 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 y y) (+.f64 1 (/.f64 -1 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 y y) (+.f64 1 (/.f64 -1 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 y y) (+.f64 1 (/.f64 -1 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 y y) (+.f64 1 (/.f64 -1 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 x 1) (pow.f64 y 2)) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.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 y y) (+.f64 1 (/.f64 -1 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 y y) (+.f64 1 (/.f64 -1 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 y y) (+.f64 1 (/.f64 -1 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 x 1) (pow.f64 y 2)) |
(/.f64 (+.f64 x -1) (*.f64 y y)) |
(/.f64 (+.f64 -1 x) (*.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 y y) (+.f64 1 (/.f64 -1 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 y y) (+.f64 1 (/.f64 -1 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 y y) (+.f64 1 (/.f64 -1 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 y) |
(-.f64 1 (/.f64 1 y)) |
(+.f64 1 (/.f64 -1 y)) |
(-.f64 1 (/.f64 1 y)) |
(+.f64 1 (/.f64 -1 y)) |
(-.f64 1 (/.f64 1 y)) |
(+.f64 1 (/.f64 -1 y)) |
1 |
(-.f64 1 (/.f64 1 y)) |
(+.f64 1 (/.f64 -1 y)) |
(-.f64 1 (/.f64 1 y)) |
(+.f64 1 (/.f64 -1 y)) |
(-.f64 1 (/.f64 1 y)) |
(+.f64 1 (/.f64 -1 y)) |
1 |
(-.f64 1 (/.f64 1 y)) |
(+.f64 1 (/.f64 -1 y)) |
(-.f64 1 (/.f64 1 y)) |
(+.f64 1 (/.f64 -1 y)) |
(-.f64 1 (/.f64 1 y)) |
(+.f64 1 (/.f64 -1 y)) |
Compiled 7 to 5 computations (28.6% saved)
Compiled 13 to 8 computations (38.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 y (+.f64 y 1)) | |
| ✓ | 0.0b | (*.f64 (/.f64 y (+.f64 y 1)) x) |
Compiled 20 to 12 computations (40% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| 1.0ms | y | @ | 0 | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| 0.0ms | y | @ | -inf | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| 1× | batch-egg-rewrite |
| 823× | pow1_binary64 |
| 766× | log1p-expm1-u_binary64 |
| 766× | expm1-log1p-u_binary64 |
| 765× | add-log-exp_binary64 |
| 749× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 150 | 10 |
| 2 | 2067 | 10 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y (+.f64 y 1)) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) x)) 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 x (/.f64 (+.f64 y 1) y))))) (#(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 y) x) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 y)) (+.f64 (neg.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (+.f64 y 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(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 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 8.7b | (/.f64 (*.f64 y x) (+.f64 1 y)) |
Compiled 18 to 9 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 y x) (+.f64 1 y)) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 y x) (+.f64 1 y)) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 y x) (+.f64 1 y)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 y x) (+.f64 1 y)) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 y x) (+.f64 1 y)) |
| 1× | batch-egg-rewrite |
| 863× | pow1_binary64 |
| 805× | add-log-exp_binary64 |
| 805× | log1p-expm1-u_binary64 |
| 805× | expm1-log1p-u_binary64 |
| 789× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 10 |
| 1 | 149 | 10 |
| 2 | 2120 | 10 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 y x) (+.f64 1 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 (+.f64 y 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 y (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y x) (/.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 y (+.f64 y 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 2) (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (*.f64 (cbrt.f64 (*.f64 y x)) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y x)) (*.f64 (sqrt.f64 (*.f64 y x)) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 y)) (/.f64 1 (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1)) (*.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 x (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 y x)) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) 1) (/.f64 (sqrt.f64 (*.f64 y x)) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (*.f64 y x) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y x)) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 (*.f64 y x)) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (+.f64 y 1))) (/.f64 x (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 y 1))) (/.f64 y (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 (*.f64 y x) (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 y x)) 2) (sqrt.f64 (+.f64 y 1))) (/.f64 (cbrt.f64 (*.f64 y x)) (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y x) (+.f64 1 (pow.f64 y 3))) (+.f64 1 (-.f64 (*.f64 y y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y x) (-.f64 1 (*.f64 y y))) (-.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) (*.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y x) (+.f64 (neg.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y 1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 (+.f64 y 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y (+.f64 y 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 y x)) (log1p.f64 y))))))) |
| 1× | egg-herbie |
| 701× | fma-def_binary64 |
| 459× | times-frac_binary64 |
| 415× | distribute-lft-out--_binary64 |
| 375× | distribute-rgt-neg-in_binary64 |
| 346× | distribute-lft-neg-in_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 174 |
| 1 | 87 | 161 |
| 2 | 245 | 150 |
| 3 | 904 | 137 |
| 4 | 4132 | 130 |
| 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))) |
| 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 y (neg.f64 (*.f64 y y)))) |
(*.f64 y (-.f64 x (*.f64 y x))) |
(*.f64 (*.f64 x (-.f64 1 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 x (*.f64 y (-.f64 (fma.f64 y 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 (-.f64 y (*.f64 y y)) (*.f64 (fma.f64 y y 1) x)) |
(*.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 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) x)) |
(+.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 x (-.f64 (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 x (*.f64 y y))) (/.f64 x y))) |
(+.f64 x (-.f64 (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)) (/.f64 x 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 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) x)) |
(+.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 x (-.f64 (*.f64 (+.f64 (/.f64 -1 y) 1) (/.f64 x (*.f64 y y))) (/.f64 x y))) |
(+.f64 x (-.f64 (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)) (/.f64 x y))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 x (/.f64 x (*.f64 y y)))) |
Compiled 8174 to 5546 computations (32.2% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 380 | 3 | 383 |
| Fresh | 1 | 8 | 9 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 5 | 6 |
| Total | 382 | 17 | 399 |
| Status | Error | Program |
|---|---|---|
| 39.3b | x | |
| ✓ | 36.6b | (-.f64 1 (/.f64 y (+.f64 y 1))) |
| ✓ | 37.9b | (-.f64 1 y) |
| ▶ | 31.4b | (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) |
| ✓ | 42.6b | (/.f64 (*.f64 y x) (+.f64 1 y)) |
| ▶ | 39.1b | (-.f64 x (/.f64 x y)) |
| 54.9b | (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) | |
| ✓ | 21.5b | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| ▶ | 37.0b | (exp.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y)))) |
| 36.6b | (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) 3) | |
| ✓ | 31.6b | (+.f64 x (/.f64 1 y)) |
| 32.6b | (-.f64 1 (-.f64 y (*.f64 y x))) | |
| 54.5b | (/.f64 1 y) | |
| ▶ | 56.9b | (*.f64 y x) |
| ▶ | 39.5b | (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
| ✓ | 33.3b | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| 37.7b | 1 |
Compiled 236 to 167 computations (29.2% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (-.f64 1 x) y) | |
| ✓ | 0.0b | (+.f64 -1 (/.f64 1 y)) |
| ✓ | 0.8b | (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y)) |
| ✓ | 3.1b | (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) |
Compiled 58 to 35 computations (39.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) |
| 1.0ms | x | @ | inf | (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) |
| 0.0ms | y | @ | 0 | (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) |
| 0.0ms | x | @ | -inf | (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) |
| 0.0ms | y | @ | 0 | (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 792× | fma-def_binary64 |
| 441× | fma-neg_binary64 |
| 361× | log-div_binary64 |
| 274× | expm1-udef_binary64 |
| 273× | log1p-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 45 |
| 1 | 307 | 43 |
| 2 | 4995 | 43 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) |
(/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y)) |
(+.f64 -1 (/.f64 1 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (fma.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2) (/.f64 (-.f64 1 x) y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) 2) (+.f64 (/.f64 (-.f64 1 x) y) (-.f64 x (*.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2))))) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 2) (pow.f64 y 4)) (+.f64 (/.f64 (-.f64 1 x) y) (-.f64 x (*.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (fma.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2) (/.f64 (-.f64 1 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (fma.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2) (/.f64 (-.f64 1 x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (fma.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2) (/.f64 (-.f64 1 x) y)))) (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (+.f64 -1 (/.f64 1 y)) (pow.f64 y -2) (/.f64 (-.f64 1 x) y)))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -1 (/.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 y))) (/.f64 (pow.f64 y -2) (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 2) (cbrt.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) (sqrt.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 y -3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 y -2)) (/.f64 1 (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y -1/2) 1) (-.f64 (pow.f64 y -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 1 y))) (+.f64 -1 (pow.f64 y -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -1 (/.f64 -1 y)) (-.f64 1 (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 y -3)) (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (-.f64 1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 y -2)) (+.f64 -1 (/.f64 -1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 y -3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 y -2) (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 y -2))) (neg.f64 (+.f64 -1 (/.f64 -1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y -2) 1) (-.f64 (/.f64 1 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 1 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 1 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 1 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 1 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 -1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 y) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 y)) (cbrt.f64 (pow.f64 y -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) -1) (pow.f64 (cbrt.f64 y) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 y) -1) (pow.f64 (sqrt.f64 y) -1) -1))))) |
| 1× | egg-herbie |
| 625× | fma-def_binary64 |
| 602× | associate-/l*_binary64 |
| 562× | fma-neg_binary64 |
| 536× | unswap-sqr_binary64 |
| 456× | sub-neg_binary64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 807 |
| 1 | 102 | 783 |
| 2 | 260 | 765 |
| 3 | 693 | 765 |
| 4 | 1830 | 731 |
| 5 | 5261 | 672 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (pow.f64 y 2))) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (pow.f64 y 2))) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (/.f64 1 (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (/.f64 1 (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (/.f64 1 (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(/.f64 1 (pow.f64 y 3)) |
(-.f64 (/.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 x y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 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) x) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 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) x) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x)) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(/.f64 1 (pow.f64 y 3)) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(/.f64 -1 (pow.f64 y 2)) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(/.f64 -1 (pow.f64 y 2)) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(/.f64 1 y) |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) 1) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) 1) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) 1) |
| Outputs |
|---|
(-.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 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 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (*.f64 y y))) |
(+.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) x (/.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 x (/.f64 x y)) (/.f64 -1 (*.f64 y y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 x (+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 x y) (/.f64 -1 y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 x (*.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) (fma.f64 x -1 1))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 y) x))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (*.f64 y y))) |
(+.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) x (/.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 x (/.f64 x y)) (/.f64 -1 (*.f64 y y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 x (+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 x y) (/.f64 -1 y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 x (*.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) (fma.f64 x -1 1))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 y) x))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (*.f64 y y))) |
(+.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) x (/.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 x (/.f64 x y)) (/.f64 -1 (*.f64 y y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 x (+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 x y) (/.f64 -1 y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 x (*.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) (fma.f64 x -1 1))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 y) x))) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(-.f64 x (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (*.f64 y y))) |
(+.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) x (/.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 x (/.f64 x y)) (/.f64 -1 (*.f64 y y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 x (+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 x y) (/.f64 -1 y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 x (*.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) (fma.f64 x -1 1))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 y) x))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (*.f64 y y))) |
(+.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) x (/.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 x (/.f64 x y)) (/.f64 -1 (*.f64 y y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 x (+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 x y) (/.f64 -1 y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 x (*.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) (fma.f64 x -1 1))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 y) x))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (*.f64 y y))) |
(+.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) x (/.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 x (/.f64 x y)) (/.f64 -1 (*.f64 y y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 x (+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 x y) (/.f64 -1 y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 x (*.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) (fma.f64 x -1 1))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 y) x))) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(-.f64 x (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (/.f64 1 (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (*.f64 y y))) |
(+.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) x (/.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 x (/.f64 x y)) (/.f64 -1 (*.f64 y y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 x (+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 x y) (/.f64 -1 y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 x (*.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) (fma.f64 x -1 1))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 y) x))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (/.f64 1 (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (*.f64 y y))) |
(+.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) x (/.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 x (/.f64 x y)) (/.f64 -1 (*.f64 y y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 x (+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 x y) (/.f64 -1 y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 x (*.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) (fma.f64 x -1 1))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 y) x))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) (/.f64 1 (pow.f64 y 3)))) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (*.f64 y y))) |
(+.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) x (/.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 x (/.f64 x y)) (/.f64 -1 (*.f64 y y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 x (+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 x y) (/.f64 -1 y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 x (*.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) (fma.f64 x -1 1))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 y) x))) |
(/.f64 1 (pow.f64 y 3)) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y 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 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x y))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x y)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (-.f64 (/.f64 -1 (*.f64 y y)) (/.f64 x y)))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (-.f64 (/.f64 -1 (*.f64 y y)) (/.f64 x y))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) (fma.f64 x -1 1)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (/.f64 1 y) (-.f64 1 (+.f64 (/.f64 1 y) x)))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x)) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (*.f64 y y))) |
(+.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) x (/.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 x (/.f64 x y)) (/.f64 -1 (*.f64 y y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 x (+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 x y) (/.f64 -1 y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 x (*.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) (fma.f64 x -1 1))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 y) x))) |
x |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y))) |
(-.f64 (/.f64 1 y) (-.f64 (/.f64 x y) x)) |
(+.f64 x (/.f64 (fma.f64 x -1 1) y)) |
(-.f64 x (/.f64 (+.f64 x -1) y)) |
(-.f64 (+.f64 (/.f64 1 y) x) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) x) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x y))) |
(+.f64 x (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (-.f64 x (/.f64 x y)) (/.f64 -1 (*.f64 y y)))) |
(-.f64 x (+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 x y) (/.f64 -1 y)))) |
(+.f64 x (*.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) (fma.f64 x -1 1)))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 y) x)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x)) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (*.f64 y y))) |
(+.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) x (/.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 x (/.f64 x y)) (/.f64 -1 (*.f64 y y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 x (+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 x y) (/.f64 -1 y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 x (*.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) (fma.f64 x -1 1))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 y) x))) |
x |
(-.f64 (+.f64 (/.f64 1 y) x) (/.f64 x y)) |
(+.f64 (/.f64 1 y) (-.f64 x (/.f64 x y))) |
(-.f64 (/.f64 1 y) (-.f64 (/.f64 x y) x)) |
(+.f64 x (/.f64 (fma.f64 x -1 1) y)) |
(-.f64 x (/.f64 (+.f64 x -1) y)) |
(-.f64 (+.f64 (/.f64 1 y) x) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) x) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x y))) |
(+.f64 x (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 x y)))) |
(+.f64 (/.f64 1 y) (+.f64 (-.f64 x (/.f64 x y)) (/.f64 -1 (*.f64 y y)))) |
(-.f64 x (+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 x y) (/.f64 -1 y)))) |
(+.f64 x (*.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) (fma.f64 x -1 1)))) |
(*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 y) x)) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) x)) (+.f64 (/.f64 1 (pow.f64 y 2)) (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (-.f64 1 (/.f64 1 y)) x))) (/.f64 1 (*.f64 y y))) |
(+.f64 (fma.f64 (-.f64 1 (/.f64 1 y)) x (/.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 x (/.f64 x y)) (/.f64 -1 (*.f64 y y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (-.f64 x (+.f64 (/.f64 (/.f64 1 y) y) (+.f64 (/.f64 x y) (/.f64 -1 y))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 x (*.f64 (/.f64 1 y) (+.f64 (/.f64 -1 y) (fma.f64 x -1 1))))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (*.f64 (+.f64 1 (/.f64 -1 y)) (+.f64 (/.f64 1 y) x))) |
(/.f64 1 (pow.f64 y 3)) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) |
(/.f64 -1 (pow.f64 y 2)) |
(/.f64 -1 (*.f64 y y)) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (pow.f64 y 2))) |
(-.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (/.f64 -1 (*.f64 y y))) |
(/.f64 1 y) |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
Compiled 7 to 3 computations (57.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (/.f64 x y)) |
Compiled 12 to 4 computations (66.7% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 x (/.f64 x y)) |
| 0.0ms | y | @ | -inf | (-.f64 x (/.f64 x y)) |
| 0.0ms | y | @ | 0 | (-.f64 x (/.f64 x y)) |
| 0.0ms | y | @ | inf | (-.f64 x (/.f64 x y)) |
| 0.0ms | x | @ | inf | (-.f64 x (/.f64 x y)) |
| 1× | batch-egg-rewrite |
| 726× | pow1_binary64 |
| 678× | add-log-exp_binary64 |
| 678× | log1p-expm1-u_binary64 |
| 678× | expm1-log1p-u_binary64 |
| 663× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 1 | 116 | 7 |
| 2 | 1789 | 7 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (/.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (neg.f64 x) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (/.f64 1 y)) x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x y)) (fma.f64 (/.f64 (neg.f64 x) y) 1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 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 (neg.f64 x) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 2) (cbrt.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 x y))) (sqrt.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (/.f64 1 (+.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 x y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3)) (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2)) (+.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 x y) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x y) 2))) (neg.f64 (+.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (neg.f64 x) y) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y)) (*.f64 x (/.f64 (neg.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (-.f64 x (/.f64 (neg.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (neg.f64 x) y)))))) |
| 1× | egg-herbie |
| 148× | fma-def_binary64 |
| 74× | fma-neg_binary64 |
| 28× | distribute-rgt-in_binary64 |
| 25× | distribute-lft-in_binary64 |
| 23× | cancel-sign-sub-inv_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 218 |
| 1 | 32 | 218 |
| 2 | 67 | 155 |
| 3 | 132 | 155 |
| 4 | 223 | 155 |
| 5 | 385 | 155 |
| 6 | 621 | 155 |
| 7 | 649 | 155 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 x (*.f64 -1 (/.f64 x y))) |
(+.f64 x (*.f64 -1 (/.f64 x y))) |
(+.f64 x (*.f64 -1 (/.f64 x y))) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
| Outputs |
|---|
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) 1) x)) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(*.f64 -1 (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 x (*.f64 -1 (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (*.f64 -1 (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (*.f64 -1 (/.f64 x y))) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
x |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
(+.f64 (*.f64 -1 (/.f64 x y)) x) |
(*.f64 (-.f64 1 (/.f64 1 y)) x) |
(*.f64 x (-.f64 1 (/.f64 1 y))) |
(-.f64 x (/.f64 x y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
| ✓ | 0.0b | (-.f64 (/.f64 x y) x) |
| ✓ | 0.1b | (/.f64 (-.f64 (/.f64 x y) x) y) |
Compiled 28 to 6 computations (78.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
| 1.0ms | x | @ | inf | (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
| 1.0ms | x | @ | 0 | (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 (/.f64 x y) x) y) |
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 (/.f64 x y) x) y) |
| 1× | batch-egg-rewrite |
| 484× | log-prod_binary64 |
| 481× | fma-def_binary64 |
| 365× | exp-prod_binary64 |
| 334× | pow-prod-down_binary64 |
| 258× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 30 |
| 1 | 170 | 30 |
| 2 | 2861 | 30 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (/.f64 x y) x) y) |
(-.f64 (/.f64 x y) x) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 y y)) (neg.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 y y)) (*.f64 (neg.f64 x) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 y y)) (*.f64 -1 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 y y)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -2))) (cbrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (*.f64 y y)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) (sqrt.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (/.f64 x y) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (/.f64 x y) x) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (/.f64 x y) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (/.f64 x y) x) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (/.f64 x y) x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 x y) x) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 x y) x) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (/.f64 x y) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (/.f64 x y) x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 x y) x) y)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 x y) x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 x y) x) y)) 2) (cbrt.f64 (/.f64 (-.f64 (/.f64 x y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) x)) 2) (*.f64 (cbrt.f64 (-.f64 (/.f64 x y) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 x y) x) y)) (sqrt.f64 (/.f64 (-.f64 (/.f64 x y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 x y) x)) (*.f64 (sqrt.f64 (-.f64 (/.f64 x y) x)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (/.f64 x y) x)) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (-.f64 (/.f64 x y) x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1/2) (/.f64 (-.f64 (/.f64 x y) x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (/.f64 x y) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 x y) x)) 1) (/.f64 (sqrt.f64 (-.f64 (/.f64 x y) x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (-.f64 (/.f64 x y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 x y) x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 (/.f64 x y) x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x y) x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 (/.f64 x y) x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (/.f64 x y) x) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 x y) x) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 x y) x) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 x y) x) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 x y) x) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 (/.f64 x y) x)) -1)))) (#(struct:change #<rule 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| 1× | egg-herbie |
| 721× | times-frac_binary64 |
| 551× | div-sub_binary64 |
| 549× | fma-def_binary64 |
| 392× | distribute-neg-frac_binary64 |
| 345× | associate-/l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 892 |
| 1 | 80 | 890 |
| 2 | 189 | 653 |
| 3 | 554 | 653 |
| 4 | 1633 | 653 |
| 5 | 6017 | 653 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) y)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) y)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) y)) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) y)) |
(/.f64 x (pow.f64 y 2)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(*.f64 -1 (/.f64 x y)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 -1 x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) x)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) x)) |
(/.f64 x (pow.f64 y 2)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(+.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 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 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(/.f64 (*.f64 (-.f64 (/.f64 1 y) 1) x) y) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) y)) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) y)) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) y)) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(*.f64 -1 (/.f64 (*.f64 (-.f64 1 (/.f64 1 y)) x) y)) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(*.f64 -1 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(*.f64 -1 (/.f64 x y)) |
(/.f64 (neg.f64 x) y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 (-.f64 (/.f64 1 y) 1) x) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 -1 (*.f64 (-.f64 1 (/.f64 1 y)) x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(/.f64 x y) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(+.f64 (/.f64 x y) (*.f64 -1 x)) |
(*.f64 (+.f64 (/.f64 1 y) -1) x) |
(-.f64 (/.f64 x y) x) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(*.f64 (-.f64 (+.f64 1 (/.f64 1 (pow.f64 y 2))) (/.f64 1 y)) x) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) x)) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) x)) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) x)) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(*.f64 -1 (*.f64 (-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) x)) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(/.f64 x (pow.f64 y 2)) |
(/.f64 x (*.f64 y y)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 x y))) |
(/.f64 (+.f64 (/.f64 1 y) -1) (/.f64 y x)) |
(/.f64 (*.f64 (+.f64 (/.f64 1 y) -1) x) y) |
(/.f64 (-.f64 (/.f64 x y) x) y) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) 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 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) 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 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x)) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 1 (*.f64 y y)) (/.f64 1 y)))) |
(*.f64 x (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (neg.f64 y) (+.f64 1 y)) |
| ✓ | 0.1b | (exp.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y)))) |
| ✓ | 1.5b | (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y))) |
Compiled 30 to 18 computations (40% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y))) |
| 1.0ms | y | @ | -inf | (exp.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y)))) |
| 0.0ms | y | @ | -inf | (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y))) |
| 0.0ms | y | @ | inf | (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y))) |
| 0.0ms | y | @ | inf | (exp.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y)))) |
| 1× | batch-egg-rewrite |
| 738× | pow1_binary64 |
| 685× | add-log-exp_binary64 |
| 685× | expm1-log1p-u_binary64 |
| 684× | log1p-expm1-u_binary64 |
| 670× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 33 |
| 1 | 166 | 26 |
| 2 | 2368 | 26 |
| 1× | node limit |
| Inputs |
|---|
(log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y))) |
(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y)))) |
(/.f64 (neg.f64 y) (+.f64 1 y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y (+.f64 y 1)))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 y (+.f64 y 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (/.f64 y (+.f64 y 1))))) (log.f64 (sqrt.f64 (+.f64 1 (/.f64 y (+.f64 y 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (/.f64 y (+.f64 y 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 y (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))) 2) (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))) (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 y (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 y (+.f64 y 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 y (+.f64 y 1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 y (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (/.f64 y (+.f64 y 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 y (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 y (+.f64 y 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y (+.f64 y 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y (+.f64 y 1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 y (+.f64 y 1)))) (sqrt.f64 (+.f64 1 (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (/.f64 y (+.f64 y 1)) 3)) (+.f64 1 (-.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 2) (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (/.f64 y (+.f64 y 1)) 2)) (+.f64 1 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 y (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 y 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 y (+.f64 y 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 y (+.f64 y 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y 1))))) (sqrt.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 y (+.f64 y 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 y (+.f64 y 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 y (+.f64 y 1))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (+.f64 y 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 y 1)) (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (+.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) 2) (cbrt.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (+.f64 y 1))) (sqrt.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (cbrt.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 y (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 y 1))) (/.f64 y (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (+.f64 y 1))) (/.f64 (cbrt.f64 y) (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 y 1))) (/.f64 y (sqrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 1)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 (pow.f64 y 3))) (+.f64 1 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 1 (*.f64 y y))) (+.f64 y 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 y 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (+.f64 y 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (+.f64 y 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 y 1) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (+.f64 y 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (+.f64 y 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 y (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 y) (log1p.f64 y))))))) |
| 1× | egg-herbie |
| 529× | fma-neg_binary64 |
| 406× | associate-+l-_binary64 |
| 328× | times-frac_binary64 |
| 313× | sub-neg_binary64 |
| 307× | associate-*l*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 510 |
| 1 | 206 | 485 |
| 2 | 655 | 475 |
| 3 | 2552 | 445 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 y) |
(+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 y)) |
(+.f64 (*.f64 1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))) |
(+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))) |
(log.f64 (/.f64 1 y)) |
(-.f64 (log.f64 (/.f64 1 y)) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 1 y))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 1 y))) (+.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (+.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))) |
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)))) |
(exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) y))) |
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (pow.f64 y 2)) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) y)))) |
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (pow.f64 y 3))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (pow.f64 y 2)) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) y))))) |
(*.f64 -1 y) |
(+.f64 (pow.f64 y 2) (*.f64 -1 y)) |
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y))) |
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (+.f64 (pow.f64 y 4) (*.f64 -1 y)))) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(-.f64 (/.f64 1 y) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.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 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
| Outputs |
|---|
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 y)) |
(fma.f64 1/2 (*.f64 y y) (neg.f64 y)) |
(-.f64 (*.f64 y (*.f64 y 1/2)) y) |
(*.f64 y (+.f64 -1 (*.f64 y 1/2))) |
(+.f64 (*.f64 1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y))) |
(fma.f64 1/2 (*.f64 y y) (fma.f64 -1/3 (pow.f64 y 3) (neg.f64 y))) |
(-.f64 (fma.f64 1/2 (*.f64 y y) (*.f64 -1/3 (pow.f64 y 3))) y) |
(-.f64 (*.f64 (*.f64 y y) (+.f64 1/2 (*.f64 y -1/3))) y) |
(fma.f64 y (*.f64 y (+.f64 1/2 (*.f64 y -1/3))) (neg.f64 y)) |
(+.f64 (*.f64 1/4 (pow.f64 y 4)) (+.f64 (*.f64 1/2 (pow.f64 y 2)) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))) |
(fma.f64 1/4 (pow.f64 y 4) (fma.f64 1/2 (*.f64 y y) (fma.f64 -1/3 (pow.f64 y 3) (neg.f64 y)))) |
(fma.f64 1/4 (pow.f64 y 4) (-.f64 (fma.f64 1/2 (*.f64 y y) (*.f64 -1/3 (pow.f64 y 3))) y)) |
(-.f64 (fma.f64 1/4 (pow.f64 y 4) (*.f64 (*.f64 y y) (+.f64 1/2 (*.f64 y -1/3)))) y) |
(fma.f64 1/4 (pow.f64 y 4) (fma.f64 y (*.f64 y (+.f64 1/2 (*.f64 y -1/3))) (neg.f64 y))) |
(log.f64 (/.f64 1 y)) |
(neg.f64 (log.f64 y)) |
(-.f64 (log.f64 (/.f64 1 y)) (/.f64 1 y)) |
(-.f64 (neg.f64 (log.f64 y)) (/.f64 1 y)) |
(+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (log.f64 y)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 1 y))) (/.f64 1 y)) |
(+.f64 (/.f64 1/2 (*.f64 y y)) (-.f64 (neg.f64 (log.f64 y)) (/.f64 1 y))) |
(+.f64 (-.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 y)) (/.f64 -1 y)) |
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 y)) (/.f64 1/2 (*.f64 y y))) |
(-.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (/.f64 1 y) (log.f64 y))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (log.f64 (/.f64 1 y))) (+.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1/2 (*.f64 y y)) (-.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 1 y) (/.f64 1/3 (pow.f64 y 3))))) |
(+.f64 (-.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 y)) (-.f64 (/.f64 -1 y) (/.f64 1/3 (pow.f64 y 3)))) |
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 y)) (-.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3)))) |
(+.f64 (-.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 y)) (+.f64 (/.f64 -1 y) (/.f64 -1/3 (pow.f64 y 3)))) |
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) |
(neg.f64 (log.f64 y)) |
(-.f64 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (/.f64 1 y)) |
(-.f64 (neg.f64 (log.f64 y)) (/.f64 1 y)) |
(+.f64 (neg.f64 (log.f64 y)) (/.f64 -1 y)) |
(-.f64 (/.f64 -1 y) (log.f64 y)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (/.f64 1 y)) |
(+.f64 (/.f64 1/2 (*.f64 y y)) (-.f64 (neg.f64 (log.f64 y)) (/.f64 1 y))) |
(+.f64 (-.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 y)) (/.f64 -1 y)) |
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 y)) (/.f64 1/2 (*.f64 y y))) |
(-.f64 (/.f64 1/2 (*.f64 y y)) (+.f64 (/.f64 1 y) (log.f64 y))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (+.f64 (/.f64 1 y) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))) |
(+.f64 (/.f64 1/2 (*.f64 y y)) (-.f64 (neg.f64 (log.f64 y)) (+.f64 (/.f64 1 y) (/.f64 1/3 (pow.f64 y 3))))) |
(+.f64 (-.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 y)) (-.f64 (/.f64 -1 y) (/.f64 1/3 (pow.f64 y 3)))) |
(+.f64 (-.f64 (/.f64 -1 y) (log.f64 y)) (-.f64 (/.f64 1/2 (*.f64 y y)) (/.f64 1/3 (pow.f64 y 3)))) |
(+.f64 (-.f64 (/.f64 1/2 (*.f64 y y)) (log.f64 y)) (+.f64 (/.f64 -1 y) (/.f64 -1/3 (pow.f64 y 3)))) |
1 |
(+.f64 1 (*.f64 -1 y)) |
(+.f64 (neg.f64 y) 1) |
(-.f64 1 y) |
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y))) |
(+.f64 1 (+.f64 (neg.f64 y) (*.f64 y y))) |
(+.f64 (*.f64 y y) (-.f64 1 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)) |
(-.f64 (-.f64 (fma.f64 y y 1) y) (pow.f64 y 3)) |
(/.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 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 (/.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 (pow.f64 y 4)) (/.f64 -1 (*.f64 y y))))) |
(*.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) |
(exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(/.f64 1 y) |
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) y))) |
(-.f64 (/.f64 1 y) (/.f64 1 (*.f64 y y))) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) |
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (pow.f64 y 2)) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (pow.f64 y 3))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (pow.f64 y 2)) (*.f64 -1 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) y))))) |
(-.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 (pow.f64 y 4)) (/.f64 -1 (*.f64 y y))))) |
(*.f64 (+.f64 -1 (/.f64 -1 (*.f64 y y))) (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y))) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (pow.f64 y 2) (*.f64 -1 y)) |
(+.f64 (neg.f64 y) (*.f64 y y)) |
(-.f64 (*.f64 y y) y) |
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (*.f64 -1 y))) |
(fma.f64 -1 (pow.f64 y 3) (+.f64 (neg.f64 y) (*.f64 y y))) |
(-.f64 (-.f64 (*.f64 y y) y) (pow.f64 y 3)) |
(-.f64 (*.f64 y y) (+.f64 y (pow.f64 y 3))) |
(*.f64 y (-.f64 y (fma.f64 y y 1))) |
(+.f64 (*.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (+.f64 (pow.f64 y 4) (*.f64 -1 y)))) |
(fma.f64 -1 (pow.f64 y 3) (+.f64 (*.f64 y y) (+.f64 (neg.f64 y) (pow.f64 y 4)))) |
(-.f64 (-.f64 (fma.f64 y y (pow.f64 y 4)) y) (pow.f64 y 3)) |
(*.f64 (+.f64 y (pow.f64 y 3)) (+.f64 -1 y)) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(+.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 (/.f64 -1 (*.f64 y y)) 1)) |
(+.f64 -1 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (-.f64 (/.f64 -1 (*.f64 y y)) 1))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) |
(*.f64 (+.f64 (/.f64 -1 y) 1) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) |
-1 |
(-.f64 (/.f64 1 y) 1) |
(+.f64 (/.f64 1 y) -1) |
(+.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 (/.f64 -1 (*.f64 y y)) 1)) |
(+.f64 -1 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y)))) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 (/.f64 1 (pow.f64 y 2)) 1)) |
(-.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 1 (/.f64 1 (*.f64 y y)))) |
(+.f64 (/.f64 1 (pow.f64 y 3)) (+.f64 (/.f64 1 y) (-.f64 (/.f64 -1 (*.f64 y y)) 1))) |
(+.f64 (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) |
(*.f64 (+.f64 (/.f64 -1 y) 1) (+.f64 -1 (/.f64 -1 (*.f64 y y)))) |
Compiled 14660 to 7616 computations (48% saved)
17 alts after pruning (7 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 775 | 3 | 778 |
| Fresh | 2 | 4 | 6 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 9 | 10 |
| Total | 778 | 17 | 795 |
| Status | Error | Program |
|---|---|---|
| ✓ | 36.6b | (-.f64 1 (/.f64 y (+.f64 y 1))) |
| ✓ | 37.9b | (-.f64 1 y) |
| ✓ | 39.1b | (-.f64 x (/.f64 x y)) |
| 54.9b | (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) | |
| ✓ | 21.5b | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| ✓ | 37.0b | (exp.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y)))) |
| 36.6b | (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) 3) | |
| ✓ | 31.6b | (+.f64 x (/.f64 1 y)) |
| 32.6b | (-.f64 1 (-.f64 y (*.f64 y x))) | |
| 54.5b | (/.f64 1 y) | |
| ✓ | 56.9b | (*.f64 y x) |
| ✓ | 39.5b | (+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
| ✓ | 33.3b | (*.f64 (/.f64 y (+.f64 y 1)) x) |
| ✓ | 42.6b | (/.f64 (*.f64 y x) (+.f64 1 y)) |
| 37.7b | 1 | |
| 39.3b | x | |
| 31.7b | (+.f64 (+.f64 x (/.f64 1 y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) |
Compiled 145 to 104 computations (28.3% saved)
| Inputs |
|---|
1 |
x |
x |
x |
1 |
(*.f64 y x) |
(-.f64 1 y) |
(/.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 1 (-.f64 1 x)) |
(+.f64 x (/.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 1 (/.f64 y (+.f64 y 1))) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 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) -1))) |
(+.f64 (+.f64 x (/.f64 1 y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) |
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 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 (-.f64 1 x) (/.f64 y (-.f64 -1 y)) 1) |
(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) (+.f64 1 y)))) |
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 y (+.f64 1 y)))) 3) |
(exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (/.f64 y (-.f64 -1 y))))) |
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 y)) y))) 3) |
| Outputs |
|---|
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) |
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
(+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) |
7 calls:
| 315.0ms | x |
| 120.0ms | y |
| 40.0ms | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 31.0ms | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 19.0ms | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| Error | Segments | Branch |
|---|---|---|
| 6.4b | 9 | x |
| 0.0b | 3 | y |
| 0.0b | 3 | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 0.0b | 3 | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 0.0b | 3 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 0.0b | 3 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 12.2b | 1 | (-.f64 1 x) |
Compiled 279 to 182 computations (34.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 123.42075535147804 | 43535368.296954006 |
| 40.0ms | -5091452.155613959 | -10595.394607813929 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
x |
x |
x |
1 |
(*.f64 y x) |
(-.f64 1 y) |
(/.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 1 (-.f64 1 x)) |
(+.f64 x (/.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 1 (/.f64 y (+.f64 y 1))) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 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) -1))) |
(+.f64 (+.f64 x (/.f64 1 y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) |
| Outputs |
|---|
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) |
(-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
(+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) |
8 calls:
| 149.0ms | x |
| 105.0ms | (-.f64 1 x) |
| 77.0ms | (-.f64 1 x) |
| 67.0ms | y |
| 56.0ms | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| Error | Segments | Branch |
|---|---|---|
| 9.2b | 11 | x |
| 0.1b | 3 | y |
| 0.2b | 4 | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 0.2b | 4 | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 0.2b | 4 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 0.2b | 4 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 14.9b | 3 | (-.f64 1 x) |
| 14.9b | 3 | (-.f64 1 x) |
Compiled 193 to 123 computations (36.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 123.42075535147804 | 43535368.296954006 |
| 22.0ms | -5091452.155613959 | -10595.394607813929 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
x |
x |
x |
1 |
(*.f64 y x) |
(-.f64 1 y) |
(/.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 1 (-.f64 1 x)) |
(+.f64 x (/.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 1 (/.f64 y (+.f64 y 1))) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 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 (-.f64 1 x) y)) |
8 calls:
| 317.0ms | x |
| 153.0ms | y |
| 129.0ms | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 71.0ms | (-.f64 1 x) |
| 71.0ms | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| Error | Segments | Branch |
|---|---|---|
| 10.3b | 9 | x |
| 0.4b | 3 | y |
| 0.6b | 4 | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 0.6b | 4 | (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) |
| 0.6b | 4 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 0.6b | 4 | (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1)) |
| 14.9b | 3 | (-.f64 1 x) |
| 14.9b | 3 | (-.f64 1 x) |
Compiled 165 to 105 computations (36.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 85.0ms | 43535368.296954006 | 19591903660.924732 |
| 36.0ms | -225843333302.34818 | -172814496.4193428 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
x |
x |
x |
1 |
(*.f64 y x) |
(-.f64 1 y) |
(/.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 1 (-.f64 1 x)) |
(+.f64 x (/.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 1 (/.f64 y (+.f64 y 1))) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(+.f64 x (/.f64 (-.f64 1 x) y)) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) 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:
| 216.0ms | x |
| 61.0ms | (-.f64 1 x) |
| 47.0ms | y |
| 31.0ms | (-.f64 1 x) |
| Error | Segments | Branch |
|---|---|---|
| 13.2b | 13 | x |
| 1.4b | 3 | y |
| 20.1b | 3 | (-.f64 1 x) |
| 20.1b | 3 | (-.f64 1 x) |
Compiled 106 to 61 computations (42.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 0.00014560340274072535 | 123.42075535147804 |
| 38.0ms | -640.7827019995339 | -0.01339202464826864 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
x |
x |
x |
1 |
(*.f64 y x) |
(-.f64 1 y) |
(/.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 1 (-.f64 1 x)) |
(+.f64 x (/.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 1 (/.f64 y (+.f64 y 1))) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
| Outputs |
|---|
(+.f64 x (/.f64 1 y)) |
(-.f64 1 (-.f64 y (*.f64 y x))) |
(+.f64 x (/.f64 1 y)) |
4 calls:
| 108.0ms | x |
| 33.0ms | y |
| 31.0ms | (-.f64 1 x) |
| 19.0ms | (-.f64 1 x) |
| Error | Segments | Branch |
|---|---|---|
| 13.2b | 13 | x |
| 1.7b | 3 | y |
| 20.1b | 3 | (-.f64 1 x) |
| 20.1b | 3 | (-.f64 1 x) |
Compiled 81 to 48 computations (40.7% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 0.00014560340274072535 | 123.42075535147804 |
| 22.0ms | -640.7827019995339 | -0.01339202464826864 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
x |
x |
x |
1 |
(*.f64 y x) |
(-.f64 1 y) |
(/.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 1 (-.f64 1 x)) |
(+.f64 x (/.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
(-.f64 1 (/.f64 y (+.f64 y 1))) |
(*.f64 (/.f64 y (+.f64 y 1)) x) |
| Outputs |
|---|
(+.f64 x (/.f64 1 y)) |
(-.f64 1 (/.f64 y (+.f64 y 1))) |
(+.f64 x (/.f64 1 y)) |
4 calls:
| 68.0ms | x |
| 32.0ms | y |
| 17.0ms | (-.f64 1 x) |
| 16.0ms | (-.f64 1 x) |
| Error | Segments | Branch |
|---|---|---|
| 15.5b | 9 | x |
| 7.0b | 3 | y |
| 20.1b | 3 | (-.f64 1 x) |
| 20.1b | 3 | (-.f64 1 x) |
Compiled 74 to 45 computations (39.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 43535368.296954006 | 19591903660.924732 |
| 22.0ms | -640.7827019995339 | -0.01339202464826864 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
x |
x |
x |
1 |
(*.f64 y x) |
(-.f64 1 y) |
(/.f64 1 y) |
(-.f64 x (/.f64 x y)) |
(+.f64 x (/.f64 1 y)) |
(-.f64 1 (-.f64 1 x)) |
(+.f64 x (/.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 y x) (+.f64 1 y)) |
| Outputs |
|---|
(+.f64 x (/.f64 1 y)) |
(-.f64 1 y) |
(+.f64 x (/.f64 1 y)) |
4 calls:
| 159.0ms | x |
| 37.0ms | y |
| 29.0ms | (-.f64 1 x) |
| 29.0ms | (-.f64 1 x) |
| Error | Segments | Branch |
|---|---|---|
| 19.8b | 13 | x |
| 7.3b | 3 | y |
| 26.0b | 5 | (-.f64 1 x) |
| 26.0b | 5 | (-.f64 1 x) |
Compiled 60 to 36 computations (40% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 0.00014560340274072535 | 123.42075535147804 |
| 22.0ms | -640.7827019995339 | -0.01339202464826864 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
x |
x |
x |
1 |
(*.f64 y x) |
(-.f64 1 y) |
(/.f64 1 y) |
(-.f64 x (/.f64 x y)) |
| Outputs |
|---|
(-.f64 x (/.f64 x y)) |
(-.f64 1 y) |
(-.f64 x (/.f64 x y)) |
2 calls:
| 126.0ms | x |
| 16.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 22.8b | 11 | x |
| 14.8b | 3 | y |
Compiled 27 to 15 computations (44.4% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 0.00014560340274072535 | 123.42075535147804 |
| 21.0ms | -640.7827019995339 | -0.01339202464826864 |
Compiled 18 to 14 computations (22.2% saved)
| Inputs |
|---|
1 |
x |
x |
x |
1 |
(*.f64 y x) |
(-.f64 1 y) |
(/.f64 1 y) |
| Outputs |
|---|
x |
(-.f64 1 y) |
x |
2 calls:
| 82.0ms | x |
| 16.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 24.8b | 7 | x |
| 15.2b | 3 | y |
Compiled 22 to 13 computations (40.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 29.0ms | 0.00014560340274072535 | 123.42075535147804 |
| 70.0ms | -640.7827019995339 | -0.01339202464826864 |
Compiled 18 to 14 computations (22.2% saved)
Total -47.2b remaining (-306.9%)
Threshold costs -47.2b (-306.9%)
| Inputs |
|---|
1 |
x |
x |
x |
1 |
(*.f64 y x) |
| Outputs |
|---|
x |
1 |
x |
2 calls:
| 32.0ms | x |
| 31.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 26.0b | 5 | x |
| 15.4b | 3 | y |
Compiled 16 to 9 computations (43.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 19591903660.924732 | 246919534032.1101 |
| 25.0ms | -640.7827019995339 | -0.01339202464826864 |
Compiled 18 to 14 computations (22.2% saved)
| 1× | egg-herbie |
| 75× | cancel-sign-sub-inv_binary64 |
| 73× | distribute-rgt-neg-in_binary64 |
| 51× | neg-sub0_binary64 |
| 51× | neg-mul-1_binary64 |
| 50× | distribute-lft-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 397 |
| 1 | 94 | 397 |
| 2 | 127 | 397 |
| 3 | 163 | 397 |
| 4 | 200 | 397 |
| 5 | 253 | 397 |
| 6 | 314 | 397 |
| 7 | 388 | 397 |
| 8 | 434 | 397 |
| 9 | 469 | 397 |
| 10 | 509 | 397 |
| 11 | 541 | 397 |
| 12 | 573 | 397 |
| 13 | 599 | 397 |
| 14 | 618 | 397 |
| 15 | 639 | 397 |
| 16 | 662 | 397 |
| 17 | 670 | 397 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y -21867620497510656/4294967296) (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) (if (<=.f64 y 8684963559542213/70368744177664) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))))) |
(if (<=.f64 y -21867620497510656/4294967296) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) (if (<=.f64 y 8684963559542213/70368744177664) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))))) |
(if (<=.f64 y -7400434345651345/32768) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 186982983054732672/4294967296) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (/.f64 (-.f64 1 x) y)))) |
(if (<=.f64 y -704548031726211/1099511627776) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5371817413238841/36893488147419103232) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 (-.f64 1 x) y)))) |
(if (<=.f64 y -704548031726211/1099511627776) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5371817413238841/36893488147419103232) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -704548031726211/1099511627776) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 186982983054732672/4294967296) (-.f64 1 (/.f64 y (+.f64 y 1))) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -704548031726211/1099511627776) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5371817413238841/36893488147419103232) (-.f64 1 y) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -704548031726211/1099511627776) (-.f64 x (/.f64 x y)) (if (<=.f64 y 5371817413238841/36893488147419103232) (-.f64 1 y) (-.f64 x (/.f64 x y)))) |
(if (<=.f64 y -704548031726211/1099511627776) x (if (<=.f64 y 5371817413238841/36893488147419103232) (-.f64 1 y) x)) |
(if (<=.f64 y -704548031726211/1099511627776) x (if (<=.f64 y 5135899993289453/262144) 1 x)) |
1 |
| Outputs |
|---|
(if (<=.f64 y -21867620497510656/4294967296) (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) (if (<=.f64 y 8684963559542213/70368744177664) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))))) |
(if (<=.f64 y -85420392568401/16777216) (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) (if (<=.f64 y 8684963559542213/70368744177664) (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1))) (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))))) |
(if (<=.f64 y -85420392568401/16777216) (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))) (if (<=.f64 y 8684963559542213/70368744177664) (+.f64 1 (/.f64 (*.f64 y (+.f64 x -1)) (+.f64 y 1))) (+.f64 (+.f64 x (/.f64 (-.f64 1 x) y)) (/.f64 (+.f64 -1 (/.f64 1 y)) (*.f64 y y))))) |
(if (<=.f64 y -21867620497510656/4294967296) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))) (if (<=.f64 y 8684963559542213/70368744177664) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (+.f64 -1 x) y) (+.f64 (/.f64 1 y) -1))))) |
(if (<=.f64 y -85420392568401/16777216) (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 1 y)))) (if (<=.f64 y 8684963559542213/70368744177664) (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 1 y)))))) |
(if (<=.f64 y -85420392568401/16777216) (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 1 y)))) (if (<=.f64 y 8684963559542213/70368744177664) (+.f64 1 (/.f64 (*.f64 y (+.f64 x -1)) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (+.f64 x -1) y) (+.f64 -1 (/.f64 1 y)))))) |
(if (<=.f64 y -85420392568401/16777216) (+.f64 x (*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (/.f64 -1 y)))) (if (<=.f64 y 8684963559542213/70368744177664) (+.f64 1 (/.f64 (*.f64 y (+.f64 x -1)) (+.f64 y 1))) (+.f64 x (*.f64 (/.f64 (-.f64 1 x) y) (+.f64 1 (/.f64 -1 y)))))) |
(if (<=.f64 y -85420392568401/16777216) (-.f64 x (*.f64 (/.f64 (-.f64 1 x) y) (+.f64 -1 (/.f64 1 y)))) (if (<=.f64 y 8684963559542213/70368744177664) (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1))) (-.f64 x (*.f64 (/.f64 (-.f64 1 x) y) (+.f64 -1 (/.f64 1 y)))))) |
(if (<=.f64 y -7400434345651345/32768) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 186982983054732672/4294967296) (-.f64 1 (/.f64 (*.f64 (-.f64 1 x) y) (+.f64 y 1))) (+.f64 x (/.f64 (-.f64 1 x) y)))) |
(if (<=.f64 y -7400434345651345/32768) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 1460804555115099/33554432) (-.f64 1 (/.f64 (*.f64 y (-.f64 1 x)) (+.f64 y 1))) (+.f64 x (/.f64 (-.f64 1 x) y)))) |
(if (<=.f64 y -7400434345651345/32768) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 1460804555115099/33554432) (+.f64 1 (/.f64 (*.f64 y (+.f64 x -1)) (+.f64 y 1))) (+.f64 x (/.f64 (-.f64 1 x) y)))) |
(if (<=.f64 y -704548031726211/1099511627776) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5371817413238841/36893488147419103232) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 (-.f64 1 x) y)))) |
(if (<=.f64 y -704548031726211/1099511627776) (+.f64 x (/.f64 (-.f64 1 x) y)) (if (<=.f64 y 5371817413238841/36893488147419103232) (+.f64 1 (-.f64 (*.f64 y x) y)) (+.f64 x (/.f64 (-.f64 1 x) y)))) |
(if (<=.f64 y -704548031726211/1099511627776) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5371817413238841/36893488147419103232) (-.f64 1 (-.f64 y (*.f64 y x))) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -704548031726211/1099511627776) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5371817413238841/36893488147419103232) (+.f64 1 (-.f64 (*.f64 y x) y)) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -704548031726211/1099511627776) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 186982983054732672/4294967296) (-.f64 1 (/.f64 y (+.f64 y 1))) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -704548031726211/1099511627776) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 1460804555115099/33554432) (-.f64 1 (/.f64 y (+.f64 y 1))) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -704548031726211/1099511627776) (+.f64 x (/.f64 1 y)) (if (<=.f64 y 5371817413238841/36893488147419103232) (-.f64 1 y) (+.f64 x (/.f64 1 y)))) |
(if (<=.f64 y -704548031726211/1099511627776) (-.f64 x (/.f64 x y)) (if (<=.f64 y 5371817413238841/36893488147419103232) (-.f64 1 y) (-.f64 x (/.f64 x y)))) |
(if (<=.f64 y -704548031726211/1099511627776) x (if (<=.f64 y 5371817413238841/36893488147419103232) (-.f64 1 y) x)) |
(if (<=.f64 y -704548031726211/1099511627776) x (if (<=.f64 y 5135899993289453/262144) 1 x)) |
1 |
Compiled 297 to 201 computations (32.3% saved)
| 2× | egg-herbie |
| 633× | sub-neg_binary64 |
| 624× | div-sub_binary64 |
| 568× | times-frac_binary64 |
| 544× | unsub-neg_binary64 |
| 433× | associate-+l+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 1131 |
| 1 | 280 | 1078 |
| 2 | 917 | 998 |
| 3 | 4106 | 894 |
| 0 | 33 | 991 |
| 1 | 80 | 937 |
| 2 | 214 | 716 |
| 3 | 606 | 711 |
| 4 | 2553 | 711 |
| 5 | 6132 | 711 |
| 1× | node limit |
| 1× | node limit |
Compiled 955 to 707 computations (26% saved)
Compiled 277 to 179 computations (35.4% saved)
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