Time bar (total: 10.1s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 18.7% | 81.3% | 0 |
| 0% | 18.7% | 81.3% | 1 |
| 0% | 18.7% | 81.3% | 2 |
| 0% | 18.7% | 81.3% | 3 |
| 0% | 18.7% | 81.3% | 4 |
| 4.7% | 14% | 81.3% | 5 |
| 5.3% | 13.5% | 81.3% | 6 |
| 15.8% | 2.9% | 81.3% | 7 |
| 15.8% | 2.9% | 81.3% | 8 |
| 17.4% | 1.3% | 81.3% | 9 |
| 17.4% | 1.3% | 81.3% | 10 |
| 18.1% | 0.6% | 81.3% | 11 |
| 18.1% | 0.6% | 81.3% | 12 |
Compiled 28 to 17 computations (39.3% saved)
| 1.5s | 8256× | body | 256 | valid |
| 2× | egg-herbie |
| 776× | fma-def_binary64 |
| 587× | div-sub_binary64 |
| 456× | sub-neg_binary64 |
| 421× | unsub-neg_binary64 |
| 365× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 40 |
| 1 | 43 | 40 |
| 2 | 103 | 40 |
| 3 | 250 | 40 |
| 4 | 572 | 40 |
| 5 | 1576 | 40 |
| 6 | 3668 | 40 |
| 7 | 4863 | 40 |
| 8 | 5686 | 40 |
| 9 | 6423 | 40 |
| 10 | 7177 | 40 |
| 11 | 7673 | 40 |
| 12 | 7912 | 40 |
| 13 | 7927 | 40 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (+.f64 (*.f64 y y) (*.f64 x x))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (-.f64 x y) (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (+.f64 (*.f64 y y) (*.f64 x x))) |
(/.f64 (-.f64 y x) (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
(*.f64 (/.f64 (-.f64 y x) (fma.f64 x x (*.f64 y y))) (+.f64 x y)) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 x x (*.f64 y y)))) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
| 917× | times-frac_binary64 |
| 766× | fma-def_binary64 |
| 481× | fma-neg_binary64 |
| 473× | unsub-neg_binary64 |
| 360× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 20 |
| 1 | 24 | 20 |
| 2 | 58 | 20 |
| 3 | 139 | 20 |
| 4 | 330 | 20 |
| 5 | 858 | 20 |
| 6 | 2077 | 20 |
| 7 | 4823 | 20 |
| 8 | 6743 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 (-.f64 x y) (/.f64 (fma.f64 x x (*.f64 y y)) (+.f64 x y))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (*.f64 y y))) |
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))) |
Compiled 31 to 12 computations (61.3% 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 |
|---|---|---|
| ▶ | 18.5b | (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))) |
| ▶ | 18.5b | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 33 to 17 computations (48.5% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (fma.f64 x x (*.f64 y y)) |
| ✓ | 0.2b | (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))) |
| ✓ | 17.6b | (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))) |
Compiled 43 to 8 computations (81.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))) |
| 1.0ms | x | @ | 0 | (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))) |
| 1.0ms | x | @ | 0 | (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))) |
| 1.0ms | y | @ | 0 | (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))) |
| 1.0ms | x | @ | inf | (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))) |
| 1× | batch-egg-rewrite |
| 678× | prod-diff_binary64 |
| 528× | log-prod_binary64 |
| 357× | fma-def_binary64 |
| 273× | pow2_binary64 |
| 190× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 1 | 202 | 39 |
| 2 | 3075 | 39 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y))) |
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))) |
(fma.f64 x x (*.f64 y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (/.f64 1 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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-1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (neg.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (*.f64 (neg.f64 y) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) x) (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (hypot.f64 x y) 2) (fma.f64 x x (*.f64 (neg.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (*.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (neg.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (+.f64 x y)) (*.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (neg.f64 (+.f64 x y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (neg.f64 (+.f64 x y))) (*.f64 (+.f64 x y) (neg.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (hypot.f64 x y)) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) 1) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (neg.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (fma.f64 x x (*.f64 (neg.f64 y) y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (neg.f64 (+.f64 x y))) (neg.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (neg.f64 y) y))) (hypot.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3) (pow.f64 (-.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (fma.f64 x x (*.f64 (neg.f64 y) y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 x y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (*.f64 (neg.f64 y) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) x (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (neg.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x y) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 y y) 3)) (+.f64 (pow.f64 (*.f64 x x) 2) (-.f64 (pow.f64 y 4) (*.f64 (*.f64 x x) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 y 4)) (fma.f64 x x (*.f64 (neg.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y y)) (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x x)) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 x y))) 1)))))) |
| 1× | egg-herbie |
| 740× | times-frac_binary64 |
| 507× | fma-def_binary64 |
| 362× | associate-+l+_binary64 |
| 312× | associate-/l*_binary64 |
| 310× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 288 |
| 1 | 381 | 288 |
| 2 | 1430 | 288 |
| 3 | 6858 | 288 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 y) |
(/.f64 1 x) |
(/.f64 1 y) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(/.f64 1 y) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))) |
(/.f64 1 y) |
(/.f64 1 x) |
(/.f64 1 y) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(/.f64 1 y) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))) |
(/.f64 1 y) |
(/.f64 1 x) |
(/.f64 1 y) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(/.f64 1 y) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))) |
(/.f64 1 y) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 y) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 y) |
-1 |
(/.f64 1 y) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(/.f64 1 y) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1) |
(/.f64 1 y) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1) |
(/.f64 1 y) |
1 |
(/.f64 1 y) |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(/.f64 1 y) |
1 |
(/.f64 1 y) |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(/.f64 1 y) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))) |
(/.f64 1 y) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))) |
(/.f64 1 y) |
1 |
(/.f64 1 y) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(/.f64 1 y) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(/.f64 1 y) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
(/.f64 1 y) |
-1 |
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(/.f64 1 y) |
-1 |
(/.f64 1 y) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(/.f64 1 y) |
(pow.f64 y 2) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(pow.f64 x 2) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(pow.f64 x 2) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(pow.f64 x 2) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(pow.f64 y 2) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(pow.f64 y 2) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 x x) (*.f64 y y)) |
| ✓ | 18.3b | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 45 to 9 computations (80% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 0.0ms | x | @ | -inf | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 1× | batch-egg-rewrite |
| 648× | fma-def_binary64 |
| 641× | log-prod_binary64 |
| 318× | pow2_binary64 |
| 273× | fma-neg_binary64 |
| 221× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 28 |
| 1 | 237 | 26 |
| 2 | 3934 | 26 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (*.f64 x x) (*.f64 y y)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (-.f64 (*.f64 x x) (*.f64 y y))) (/.f64 (pow.f64 y 4) (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 2) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x y) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (/.f64 1 (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))) (+.f64 (pow.f64 x 6) (pow.f64 y 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6))) (neg.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4))) (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 4) (pow.f64 x 4)) (-.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))) (+.f64 (pow.f64 x 6) (pow.f64 y 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (pow.f64 x 4) (pow.f64 y 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (exp.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y y)) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 x 4)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 y y)))))) |
| 1× | egg-herbie |
| 920× | fma-neg_binary64 |
| 533× | times-frac_binary64 |
| 523× | cancel-sign-sub-inv_binary64 |
| 434× | fma-def_binary64 |
| 330× | associate-+l+_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 48 |
| 1 | 325 | 48 |
| 2 | 1235 | 48 |
| 3 | 5832 | 48 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
-1 |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1) |
-1 |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1) |
-1 |
1 |
-1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
-1 |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
-1 |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
-1 |
1 |
-1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
-1 |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))) |
-1 |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))) |
-1 |
1 |
-1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
-1 |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
-1 |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
-1 |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
-1 |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
-1 |
(pow.f64 y 2) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(pow.f64 x 2) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(pow.f64 x 2) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(pow.f64 x 2) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(pow.f64 y 2) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(pow.f64 y 2) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
-1 |
Compiled 5553 to 2421 computations (56.4% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 269 | 9 | 278 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 0 | 1 |
| Total | 271 | 9 | 280 |
| Status | Error | Program |
|---|---|---|
| ▶ | 18.5b | (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
| 23.3b | -1 | |
| ▶ | 38.2b | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 y 2)) |
| ▶ | 0.0b | (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))) |
| 32.9b | (*.f64 (-.f64 x y) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2)) | |
| ▶ | 43.2b | (+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
| 0.2b | (*.f64 (-.f64 x y) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))) | |
| ▶ | 40.5b | (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
| 40.8b | 1 |
Compiled 222 to 134 computations (39.6% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (hypot.f64 x y) |
| ✓ | 0.0b | (/.f64 (-.f64 x y) (hypot.f64 x y)) |
| ✓ | 0.0b | (/.f64 (+.f64 x y) (hypot.f64 x y)) |
| ✓ | 0.0b | (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))) |
Compiled 42 to 8 computations (81% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (hypot.f64 x y) |
| 2.0ms | y | @ | 0 | (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))) |
| 1.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))) |
| 1.0ms | x | @ | -inf | (/.f64 (+.f64 x y) (hypot.f64 x y)) |
| 1.0ms | x | @ | inf | (hypot.f64 x y) |
| 1× | batch-egg-rewrite |
| 805× | prod-diff_binary64 |
| 622× | log-prod_binary64 |
| 299× | fma-def_binary64 |
| 267× | log-div_binary64 |
| 200× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 46 |
| 1 | 214 | 43 |
| 2 | 3529 | 43 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))) |
(/.f64 (+.f64 x y) (hypot.f64 x y)) |
(/.f64 (-.f64 x y) (hypot.f64 x y)) |
(hypot.f64 x y) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) 2) (cbrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 x y) 2)) (*.f64 (cbrt.f64 (-.f64 x y)) (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) (sqrt.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x y)) (/.f64 1 (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x y)) 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (hypot.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (hypot.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (hypot.f64 x y)) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (hypot.f64 x y)) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x y))) (cbrt.f64 (/.f64 x (hypot.f64 x y)))) (cbrt.f64 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(cbrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (hypot.f64 x y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (/.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 x y))) (neg.f64 (/.f64 y (hypot.f64 x y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x y))) (cbrt.f64 (exp.f64 (hypot.f64 x y))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x y)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x y)) (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) (cbrt.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x y)) (sqrt.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x y)) 1)))))) |
| 1× | egg-herbie |
| 560× | associate-+l+_binary64 |
| 524× | associate-/r*_binary64 |
| 495× | associate-/l*_binary64 |
| 371× | associate-*r*_binary64 |
| 352× | associate-+r+_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 1761 |
| 1 | 639 | 1664 |
| 2 | 2221 | 1538 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
1 |
(+.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1)) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 y x)) 1) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) 1) |
1 |
(+.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1)) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1) |
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 y x))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
-1 |
(-.f64 (/.f64 y x) 1) |
(-.f64 (+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) 1) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))) 1) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 y x))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1) |
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) |
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))) |
y |
(+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) y)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5)))))) |
x |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x))) |
(*.f64 -1 x) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (*.f64 -1 x)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (*.f64 -1 x))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 -1 x) (*.f64 -1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)))))) |
x |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) x) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x))) |
y |
(+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) y)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5)))))) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))) (+.f64 (*.f64 -1 y) (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1) |
(+.f64 (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)) |
(fma.f64 2 (/.f64 x (*.f64 (/.f64 y x) y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1) |
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1) |
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))) |
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 x (*.f64 (/.f64 y x) y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (neg.f64 y) x))) |
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))) |
(+.f64 1 (*.f64 0 (/.f64 y x))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x)))) (/.f64 (*.f64 y y) (*.f64 x x))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (*.f64 0 (/.f64 y x))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x)))) (/.f64 (*.f64 y y) (*.f64 x x))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (*.f64 0 (/.f64 y x))) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (neg.f64 y) x))) |
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))) |
(+.f64 1 (*.f64 0 (/.f64 y x))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x)))) (/.f64 (*.f64 y y) (*.f64 x x))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (*.f64 0 (/.f64 y x))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x)))) (/.f64 (*.f64 y y) (*.f64 x x))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (*.f64 0 (/.f64 y x))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (*.f64 (*.f64 y y) -2) (*.f64 x x)))) |
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x))))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 -2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))))) |
(+.f64 1 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (/.f64 (*.f64 2 (pow.f64 y 4)) (pow.f64 x 4))))) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))) |
(fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 -1 (/.f64 x (*.f64 (/.f64 y x) y)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))) |
(fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 -1 (/.f64 x (*.f64 (/.f64 y x) y)))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))) |
(fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 -1 (/.f64 x (*.f64 (/.f64 y x) y)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (*.f64 0 (/.f64 x y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 y y)))) |
(fma.f64 (/.f64 x y) (/.f64 x y) (+.f64 -1 (/.f64 x (*.f64 (/.f64 y x) y)))) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/2))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 (/.f64 x y))) |
(+.f64 1 (fma.f64 (/.f64 x (*.f64 (/.f64 y x) y)) -1/2 (/.f64 x y))) |
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
(+.f64 1 (fma.f64 -1/2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 1 (fma.f64 -1/2 (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (pow.f64 (/.f64 x y) 3)) (/.f64 x y))) |
1 |
(+.f64 (/.f64 y x) 1) |
(+.f64 1 (/.f64 y x)) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1)) |
(+.f64 (/.f64 y x) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1)) |
(+.f64 (/.f64 y x) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 1)) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))) |
(+.f64 (/.f64 y x) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (/.f64 (*.f64 -1/2 (pow.f64 y 3)) (pow.f64 x 3)))) |
(+.f64 (/.f64 y x) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 (fma.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1))) |
(+.f64 (/.f64 y x) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 (fma.f64 -1/2 (pow.f64 (/.f64 y x) 3) 1))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 y x)) 1) |
(fma.f64 -1 (/.f64 y x) -1) |
(-.f64 -1 (/.f64 y x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) 1) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x)) -1) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 1/2 (fma.f64 -1 (/.f64 y x) -1)) |
(-.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 1/2 -1) (/.f64 y x)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))) 1) |
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x))) -1) |
(fma.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1/2 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 1/2 (fma.f64 -1 (/.f64 y x) -1))) |
(fma.f64 (pow.f64 (/.f64 y x) 3) 1/2 (-.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 1/2 -1) (/.f64 y x))) |
1 |
(+.f64 (/.f64 y x) 1) |
(+.f64 1 (/.f64 y x)) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 1)) |
(+.f64 (/.f64 y x) (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1)) |
(+.f64 (/.f64 y x) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 1)) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)))))) |
(+.f64 (/.f64 y x) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (/.f64 (*.f64 -1/2 (pow.f64 y 3)) (pow.f64 x 3)))) |
(+.f64 (/.f64 y x) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 (fma.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) 1))) |
(+.f64 (/.f64 y x) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 (fma.f64 -1/2 (pow.f64 (/.f64 y x) 3) 1))) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1/2))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) -1/2 (/.f64 x y))) |
(+.f64 1 (fma.f64 (/.f64 x (*.f64 (/.f64 y x) y)) -1/2 (/.f64 x y))) |
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))) |
(+.f64 1 (fma.f64 -1/2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 1 (fma.f64 -1/2 (+.f64 (/.f64 x (*.f64 (/.f64 y x) y)) (pow.f64 (/.f64 x y) 3)) (/.f64 x y))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 x y)) 1) |
(fma.f64 -1 (/.f64 x y) -1) |
(-.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) 1) |
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y)) -1) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2 (fma.f64 -1 (/.f64 x y) -1)) |
(-.f64 (fma.f64 (/.f64 x (*.f64 (/.f64 y x) y)) 1/2 -1) (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y))) -1) |
(+.f64 -1 (-.f64 (*.f64 1/2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 x y))) |
(fma.f64 (pow.f64 (/.f64 x y) 3) 1/2 (-.f64 (fma.f64 (/.f64 x (*.f64 (/.f64 y x) y)) 1/2 -1) (/.f64 x y))) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1) |
(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/2) 1)) |
(+.f64 -1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2 (/.f64 x y))) |
(+.f64 -1 (fma.f64 (/.f64 x (*.f64 (/.f64 y x) y)) 1/2 (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1) |
(+.f64 (/.f64 x y) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)) |
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2 (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 -1 (/.f64 x y))) |
(+.f64 (fma.f64 (/.f64 x (*.f64 (/.f64 y x) y)) 1/2 (/.f64 x y)) (fma.f64 -1/2 (pow.f64 (/.f64 x y) 3) -1)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 y x))) |
(+.f64 1 (/.f64 (neg.f64 y) x)) |
(-.f64 1 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (/.f64 (neg.f64 y) x)) |
(-.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 1) (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (neg.f64 y) x))) |
(+.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 1) (-.f64 (/.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 y x))) |
(+.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 1) (-.f64 (*.f64 (pow.f64 (/.f64 y x) 3) 1/2) (/.f64 y x))) |
-1 |
(-.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) -1) |
(+.f64 -1 (/.f64 y x)) |
(-.f64 (+.f64 (/.f64 y x) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) 1) |
(+.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) 1/2) 1)) |
(+.f64 -1 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 1/2 (/.f64 y x))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))) 1) |
(+.f64 (/.f64 y x) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (*.f64 -1/2 (pow.f64 y 3)) (pow.f64 x 3))) 1)) |
(+.f64 (/.f64 y x) (+.f64 (/.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 1/2 -1))) |
(+.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 1/2 (/.f64 y x)) (fma.f64 -1/2 (pow.f64 (/.f64 y x) 3) -1)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 y x))) |
(+.f64 1 (/.f64 (neg.f64 y) x)) |
(-.f64 1 (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (/.f64 (neg.f64 y) x)) |
(-.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 1) (/.f64 y x)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x))))) |
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) (*.f64 x x)) 1) (fma.f64 1/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (/.f64 (neg.f64 y) x))) |
(+.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 1) (-.f64 (/.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 y x))) |
(+.f64 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -1/2 1) (-.f64 (*.f64 (pow.f64 (/.f64 y x) 3) 1/2) (/.f64 y x))) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) 1) |
(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/2) 1)) |
(+.f64 -1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2 (/.f64 x y))) |
(+.f64 -1 (fma.f64 (/.f64 x (*.f64 (/.f64 y x) y)) 1/2 (/.f64 x y))) |
(-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))) 1) |
(+.f64 (/.f64 x y) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) 1)) |
(+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2 (*.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (+.f64 -1 (/.f64 x y))) |
(+.f64 (fma.f64 (/.f64 x (*.f64 (/.f64 y x) y)) 1/2 (/.f64 x y)) (fma.f64 -1/2 (pow.f64 (/.f64 x y) 3) -1)) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 x y))) |
(+.f64 1 (/.f64 (neg.f64 x) y)) |
(-.f64 1 (/.f64 x y)) |
(+.f64 1 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y)))) |
(+.f64 1 (fma.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y))) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 -1/2 x) x) y) y) (-.f64 1 (/.f64 x y))) |
(+.f64 1 (fma.f64 (/.f64 x (*.f64 (/.f64 y x) y)) -1/2 (/.f64 (neg.f64 x) y))) |
(+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))))) |
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y)))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) 1/2 (/.f64 (/.f64 (*.f64 (*.f64 -1/2 x) x) y) y)) (-.f64 1 (/.f64 x y))) |
(+.f64 (-.f64 1 (/.f64 x y)) (fma.f64 (pow.f64 (/.f64 x y) 3) 1/2 (/.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 y y)))) |
y |
(+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 y (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 1/2 (/.f64 x (/.f64 y x)) y) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (+.f64 y (*.f64 1/2 (/.f64 (*.f64 x x) y)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 x (/.f64 y x)) y)) |
(fma.f64 -1/8 (/.f64 x (pow.f64 (/.f64 y x) 3)) (fma.f64 1/2 (/.f64 x (/.f64 y x)) y)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) y)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5)))))) |
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (+.f64 y (fma.f64 1/2 (/.f64 (*.f64 x x) y) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 x (/.f64 y x)) y)) (/.f64 1/16 (/.f64 (pow.f64 y 5) (pow.f64 x 6)))) |
(+.f64 (fma.f64 -1/8 (/.f64 x (pow.f64 (/.f64 y x) 3)) (fma.f64 1/2 (/.f64 x (/.f64 y x)) y)) (*.f64 (/.f64 1/16 (pow.f64 y 5)) (pow.f64 x 6))) |
x |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) x) |
(fma.f64 1/2 (/.f64 (*.f64 y y) x) x) |
(fma.f64 1/2 (*.f64 (/.f64 y x) y) x) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x)) |
(fma.f64 1/2 (/.f64 (*.f64 y y) x) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x)) |
(fma.f64 1/2 (*.f64 (/.f64 y x) y) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x))) |
(fma.f64 1/2 (/.f64 (*.f64 y y) x) (fma.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x))) |
(fma.f64 1/2 (*.f64 (/.f64 y x) y) (fma.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x))) |
(*.f64 -1 x) |
(neg.f64 x) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (*.f64 -1 x)) |
(fma.f64 -1/2 (/.f64 (*.f64 y y) x) (neg.f64 x)) |
(-.f64 (/.f64 -1/2 (/.f64 x (*.f64 y y))) x) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) -1/2) x) x) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (*.f64 -1 x))) |
(fma.f64 -1/2 (/.f64 (*.f64 y y) x) (fma.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (neg.f64 x))) |
(-.f64 (fma.f64 -1/2 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 (pow.f64 y 4) 1/8) (pow.f64 x 3))) x) |
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 y x) y) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (pow.f64 y 4))) x) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) (+.f64 (*.f64 -1 x) (*.f64 -1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 y y) x) (fma.f64 1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (fma.f64 -1 x (*.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) -1/16)))) |
(fma.f64 -1/2 (/.f64 (*.f64 y y) x) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) 1/8 (-.f64 (*.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) -1/16) x))) |
(fma.f64 -1/2 (*.f64 (/.f64 y x) y) (fma.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) 1/8 (-.f64 (*.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) -1/16) x))) |
x |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) x) |
(fma.f64 1/2 (/.f64 (*.f64 y y) x) x) |
(fma.f64 1/2 (*.f64 (/.f64 y x) y) x) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x)) |
(fma.f64 1/2 (/.f64 (*.f64 y y) x) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x)) |
(fma.f64 1/2 (*.f64 (/.f64 y x) y) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3))) x))) |
(fma.f64 1/2 (/.f64 (*.f64 y y) x) (fma.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x))) |
(fma.f64 1/2 (*.f64 (/.f64 y x) y) (fma.f64 1/16 (/.f64 (pow.f64 y 6) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) x))) |
y |
(+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y))) |
(+.f64 y (*.f64 1/2 (/.f64 (*.f64 x x) y))) |
(fma.f64 1/2 (/.f64 x (/.f64 y x)) y) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (*.f64 1/2 (/.f64 (pow.f64 x 2) y)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (+.f64 y (*.f64 1/2 (/.f64 (*.f64 x x) y)))) |
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 x (/.f64 y x)) y)) |
(fma.f64 -1/8 (/.f64 x (pow.f64 (/.f64 y x) 3)) (fma.f64 1/2 (/.f64 x (/.f64 y x)) y)) |
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))) (+.f64 y (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) y)) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5)))))) |
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (+.f64 y (fma.f64 1/2 (/.f64 (*.f64 x x) y) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5)))))) |
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) (fma.f64 1/2 (/.f64 x (/.f64 y x)) y)) (/.f64 1/16 (/.f64 (pow.f64 y 5) (pow.f64 x 6)))) |
(+.f64 (fma.f64 -1/8 (/.f64 x (pow.f64 (/.f64 y x) 3)) (fma.f64 1/2 (/.f64 x (/.f64 y x)) y)) (*.f64 (/.f64 1/16 (pow.f64 y 5)) (pow.f64 x 6))) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y)) |
(fma.f64 -1/2 (/.f64 (*.f64 x x) y) (neg.f64 y)) |
(-.f64 (/.f64 (*.f64 (*.f64 -1/2 x) x) y) y) |
(-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3))))) |
(fma.f64 -1/2 (/.f64 (*.f64 x x) y) (fma.f64 -1 y (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) 1/8))) |
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) 1/8) y)) |
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (-.f64 (*.f64 (/.f64 1/8 (pow.f64 y 3)) (pow.f64 x 4)) y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5))) (+.f64 (*.f64 -1 y) (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 3)))))) |
(fma.f64 -1/2 (/.f64 (*.f64 x x) y) (fma.f64 -1/16 (/.f64 (pow.f64 x 6) (pow.f64 y 5)) (fma.f64 -1 y (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) 1/8)))) |
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 5)) -1/16 (-.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 3)) 1/8) y))) |
(fma.f64 -1/2 (/.f64 x (/.f64 y x)) (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 5)) -1/16 (-.f64 (*.f64 (/.f64 1/8 (pow.f64 y 3)) (pow.f64 x 4)) y))) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 12.8b | (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
Compiled 32 to 16 computations (50% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
| 1.0ms | x | @ | 0 | (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
| 1.0ms | x | @ | inf | (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
| 0.0ms | x | @ | -inf | (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
| 0.0ms | y | @ | -inf | (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
| 1× | batch-egg-rewrite |
| 510× | fma-def_binary64 |
| 407× | log-prod_binary64 |
| 307× | exp-prod_binary64 |
| 293× | pow-prod-down_binary64 |
| 292× | fma-neg_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 15 |
| 1 | 197 | 13 |
| 2 | 3083 | 1 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x . 1))))) |
| 1× | egg-herbie |
| 89× | fma-def_binary64 |
| 80× | fma-neg_binary64 |
| 25× | cancel-sign-sub-inv_binary64 |
| 21× | unsub-neg_binary64 |
| 15× | sub-neg_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 27 |
| 1 | 34 | 21 |
| 2 | 83 | 21 |
| 3 | 97 | 21 |
| 4 | 110 | 21 |
| 5 | 179 | 21 |
| 6 | 308 | 21 |
| 7 | 489 | 21 |
| 8 | 509 | 21 |
| 9 | 532 | 21 |
| 10 | 555 | 21 |
| 1× | saturated |
| Inputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(/.f64 (+.f64 y (*.f64 -1 y)) x) |
(+.f64 1 (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y x)))) |
(+.f64 1 (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y x)))) |
(+.f64 1 (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y x)))) |
1 |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x))) |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x))) |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x))) |
| Outputs |
|---|
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(/.f64 (+.f64 y (*.f64 -1 y)) x) |
(/.f64 (*.f64 0 y) x) |
0 |
(+.f64 1 (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y x)))) |
1 |
(+.f64 1 (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y x)))) |
1 |
(+.f64 1 (+.f64 (/.f64 y x) (*.f64 -1 (/.f64 y x)))) |
1 |
1 |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 y (*.f64 -1 y)) x))) |
1 |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 (*.f64 y y) (*.f64 x x)) |
| ✓ | 0.2b | (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
| ✓ | 17.6b | (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x))) |
Compiled 49 to 9 computations (81.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x))) |
| 0.0ms | y | @ | inf | (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
| 0.0ms | x | @ | -inf | (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
| 0.0ms | x | @ | inf | (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x))) |
| 0.0ms | x | @ | inf | (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
| 1× | batch-egg-rewrite |
| 603× | log-prod_binary64 |
| 587× | fma-def_binary64 |
| 311× | pow2_binary64 |
| 254× | fma-neg_binary64 |
| 215× | pow1/3_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 42 |
| 1 | 232 | 39 |
| 2 | 3713 | 39 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x))) |
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
(+.f64 (*.f64 y y) (*.f64 x x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (/.f64 1 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 2)) (cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y))))) (#(struct:change #<rule 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*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (hypot.f64 x y)) (/.f64 (cbrt.f64 (+.f64 x y)) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (+.f64 (pow.f64 y 6) (pow.f64 x 6))) (-.f64 (+.f64 (pow.f64 y 4) (pow.f64 x 4)) (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 y 4) (pow.f64 x 4))) (-.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (neg.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (*.f64 (neg.f64 y) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) x) (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (-.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (-.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 (*.f64 x x) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (*.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) (fma.f64 y (+.f64 x y) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (*.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (pow.f64 (hypot.f64 x y) 2) (fma.f64 y (+.f64 x y) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 x y) 2)) (fma.f64 y (+.f64 x y) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 (neg.f64 (pow.f64 (hypot.f64 x y) 2)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (+.f64 x y)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (+.f64 x y)) (*.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) 1) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (/.f64 (pow.f64 (hypot.f64 x y) 2) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (neg.f64 (+.f64 x y))) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (neg.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (neg.f64 (+.f64 x y))) (*.f64 (+.f64 x y) (neg.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1) (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2)) (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (hypot.f64 x y)) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (neg.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (fma.f64 y (+.f64 x y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x y) (neg.f64 (+.f64 x y))) (neg.f64 (pow.f64 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(2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 (*.f64 x x) (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (*.f64 (neg.f64 y) (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) x (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (neg.f64 y))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 y 4) (-.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 (*.f64 y y) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x y) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 y 6) (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 y 4) (pow.f64 x 4)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 1 (-.f64 (*.f64 y y) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 y 4) (pow.f64 x 4)) (pow.f64 (*.f64 x y) 2)) (+.f64 (pow.f64 y 6) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 (pow.f64 y 4) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 6) (pow.f64 x 6)) (-.f64 (+.f64 (pow.f64 y 4) (pow.f64 x 4)) (pow.f64 (*.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 6) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 4) (pow.f64 x 4)) (-.f64 (*.f64 y y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 6) (pow.f64 x 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 y 4) (pow.f64 x 4)) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> 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sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y y)) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y y))) (+.f64 1 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (exp.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x x))) (+.f64 1 (expm1.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y y (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 y y)))))) |
| 1× | egg-herbie |
| 740× | times-frac_binary64 |
| 507× | fma-def_binary64 |
| 362× | associate-+l+_binary64 |
| 312× | associate-/l*_binary64 |
| 310× | associate-/r*_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 288 |
| 1 | 381 | 288 |
| 2 | 1430 | 288 |
| 3 | 6858 | 288 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))) |
(/.f64 1 x) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 y 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(pow.f64 x 2) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
| Outputs |
|---|
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 y) |
(/.f64 1 x) |
(/.f64 1 y) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(/.f64 1 y) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))) |
(/.f64 1 y) |
(/.f64 1 x) |
(/.f64 1 y) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(/.f64 1 y) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))) |
(/.f64 1 y) |
(/.f64 1 x) |
(/.f64 1 y) |
(+.f64 (/.f64 y (pow.f64 x 2)) (/.f64 1 x)) |
(/.f64 1 y) |
(+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (/.f64 y (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)))) |
(/.f64 1 y) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 y) |
(/.f64 1 y) |
(+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (/.f64 x (pow.f64 y 2)))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4)))))) |
(/.f64 1 y) |
-1 |
(/.f64 1 y) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(/.f64 1 y) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1) |
(/.f64 1 y) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1) |
(/.f64 1 y) |
1 |
(/.f64 1 y) |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(/.f64 1 y) |
1 |
(/.f64 1 y) |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(/.f64 1 y) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))) |
(/.f64 1 y) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))) |
(/.f64 1 y) |
1 |
(/.f64 1 y) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(/.f64 1 y) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(/.f64 1 y) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
(/.f64 1 y) |
-1 |
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(/.f64 1 y) |
-1 |
(/.f64 1 y) |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(/.f64 1 y) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(/.f64 1 y) |
(pow.f64 x 2) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(pow.f64 y 2) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(pow.f64 y 2) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(pow.f64 y 2) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(pow.f64 x 2) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(pow.f64 x 2) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
(+.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 1 y) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 y 2) |
| ✓ | 22.0b | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 y 2)) |
Compiled 32 to 11 computations (65.6% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 y 2)) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 y 2)) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 y 2)) |
| 1.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 y 2)) |
| 1.0ms | y | @ | -inf | (pow.f64 y 2) |
| 1× | batch-egg-rewrite |
| 893× | prod-diff_binary64 |
| 548× | log-prod_binary64 |
| 416× | fma-def_binary64 |
| 193× | pow1/3_binary64 |
| 186× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 212 | 20 |
| 2 | 3275 | 20 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 y 2)) |
(pow.f64 y 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)) (pow.f64 y -2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)) (pow.f64 y -2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)) (pow.f64 y -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (*.f64 y y) (+.f64 x y))) (/.f64 y (/.f64 (*.f64 y y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (/.f64 (*.f64 y y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (*.f64 (-.f64 x y) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2)))) (cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 2) (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 2) (pow.f64 y 4))) (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) y) (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) (neg.f64 (+.f64 x y))) (pow.f64 (*.f64 y (neg.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) (-.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) y) (/.f64 (+.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) y) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) 1) (/.f64 (+.f64 x y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) 1) (/.f64 (-.f64 x y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (*.f64 y y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) 1) (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (cbrt.f64 (pow.f64 y 4))) (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (cbrt.f64 (pow.f64 y 4))) (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) 2) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (cbrt.f64 (pow.f64 y 4))) (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (+.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3) (pow.f64 (*.f64 y y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 y (-.f64 x y)) (/.f64 y (+.f64 x y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 2) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 3) (pow.f64 (*.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2)))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 y y))) (cbrt.f64 (exp.f64 (*.f64 y y))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 y y)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y 4)) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y y)) 1)))))) |
| 1× | egg-herbie |
| 480× | distribute-neg-frac_binary64 |
| 440× | unswap-sqr_binary64 |
| 422× | associate-/l*_binary64 |
| 362× | fma-def_binary64 |
| 343× | div-sub_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 240 |
| 1 | 62 | 240 |
| 2 | 154 | 210 |
| 3 | 284 | 210 |
| 4 | 916 | 210 |
| 5 | 5607 | 210 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
| Outputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
| 0.0b | (pow.f64 y 2) | |
| ✓ | 15.7b | (/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
Compiled 40 to 30 computations (25% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
| 1.0ms | y | @ | 0 | (/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
| 1.0ms | x | @ | 0 | (/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
| 1.0ms | x | @ | inf | (/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
| 1.0ms | x | @ | 0 | (+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
| 1× | batch-egg-rewrite |
| 475× | log-prod_binary64 |
| 368× | prod-diff_binary64 |
| 365× | exp-prod_binary64 |
| 265× | pow-prod-down_binary64 |
| 265× | pow2_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 26 |
| 1 | 235 | 18 |
| 2 | 2805 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 y x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 y x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 y x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 y (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (pow.f64 (/.f64 y x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y x) 4)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 y) y) (*.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y x) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (neg.f64 y)) (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (*.f64 y y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 y) y) x) (/.f64 (cbrt.f64 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 y (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 y) y) 1) (/.f64 (cbrt.f64 (*.f64 y y)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 (cbrt.f64 x) x)) (/.f64 y (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 x) x)) (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cbrt.f64 y) y) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 2 (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y x) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y x) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 y x) -2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (/.f64 y x)))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 y x))))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y y) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) -2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 y x))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2)))) (/.f64 (*.f64 4 (pow.f64 (/.f64 y x) 4)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 (sqrt.f64 -2) (/.f64 y x))) (hypot.f64 1 (*.f64 (sqrt.f64 -2) (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -8 (pow.f64 (/.f64 y x) 6) 1) (/.f64 1 (+.f64 1 (fma.f64 4 (pow.f64 (/.f64 y x) 4) (*.f64 2 (pow.f64 (/.f64 y x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 4 (pow.f64 (/.f64 y x) 4))) (/.f64 1 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (fma.f64 4 (pow.f64 (/.f64 y x) 4) (*.f64 2 (pow.f64 (/.f64 y x) 2)))) (fma.f64 -8 (pow.f64 (/.f64 y x) 6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2))) (-.f64 1 (*.f64 4 (pow.f64 (/.f64 y x) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8 (pow.f64 (/.f64 y x) 6) 1) (+.f64 1 (fma.f64 4 (pow.f64 (/.f64 y x) 4) (*.f64 2 (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -8 (pow.f64 (/.f64 y x) 6) 1) (fma.f64 4 (pow.f64 (/.f64 y x) 4) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 4 (pow.f64 (/.f64 y x) 4))) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -8 (pow.f64 (/.f64 y x) 6) 1)) (neg.f64 (+.f64 1 (fma.f64 4 (pow.f64 (/.f64 y x) 4) (*.f64 2 (pow.f64 (/.f64 y x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 4 (pow.f64 (/.f64 y x) 4)))) (neg.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 4 (pow.f64 (/.f64 y x) 4) -1) (fma.f64 (pow.f64 (/.f64 y x) 2) -2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (/.f64 -2 (pow.f64 (/.f64 y x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (*.f64 (sqrt.f64 -2) (/.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (fma.f64 4 (pow.f64 (/.f64 y x) 4) (*.f64 2 (pow.f64 (/.f64 y x) 2)))) (fma.f64 -8 (pow.f64 (/.f64 y x) 6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2))) (-.f64 1 (*.f64 4 (pow.f64 (/.f64 y x) 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 -2 (pow.f64 (/.f64 y x) -2)))) 2)) (cbrt.f64 (log1p.f64 (/.f64 -2 (pow.f64 (/.f64 y x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 -2 (pow.f64 (/.f64 y x) -2))))) (sqrt.f64 (log1p.f64 (/.f64 -2 (pow.f64 (/.f64 y x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -2 (pow.f64 (/.f64 y x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 -2 (pow.f64 (/.f64 y x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 -2 (pow.f64 (/.f64 y x) -2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (/.f64 -2 (pow.f64 (/.f64 y x) -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 1 (*.f64 (sqrt.f64 -2) (/.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 -2 (pow.f64 (/.f64 y x) -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) (*.f64 (pow.f64 x -2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 (pow.f64 (/.f64 y x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 (/.f64 y x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (pow.f64 (/.f64 y x) -2)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2 (pow.f64 (/.f64 y x) -2))) (cbrt.f64 (*.f64 4 (pow.f64 (/.f64 y x) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (/.f64 y x) 4))) (cbrt.f64 (/.f64 -2 (pow.f64 (/.f64 y x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 y x) 4)) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -2) (/.f64 y x)) (*.f64 (sqrt.f64 -2) (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) -2) (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 x) (/.f64 (*.f64 y y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (*.f64 (cbrt.f64 x) x)) (/.f64 (*.f64 y y) (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (/.f64 y x) 4))) (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (/.f64 y x)) (/.f64 y x) 1))))) |
| 1× | egg-herbie |
| 684× | *-commutative_binary64 |
| 638× | associate-/l*_binary64 |
| 574× | sqr-pow_binary64 |
| 397× | associate-/r*_binary64 |
| 332× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 42 |
| 1 | 22 | 42 |
| 2 | 45 | 42 |
| 3 | 132 | 42 |
| 4 | 666 | 42 |
| 5 | 4198 | 42 |
| 6 | 4806 | 42 |
| 7 | 5018 | 42 |
| 8 | 5222 | 42 |
| 9 | 5458 | 42 |
| 10 | 5780 | 42 |
| 11 | 6574 | 42 |
| 12 | 7102 | 42 |
| 13 | 7750 | 42 |
| 1× | node limit |
| Inputs |
|---|
1 |
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
1 |
1 |
| Outputs |
|---|
1 |
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x)) |
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x))) |
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x)) |
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x))) |
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x)) |
(*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x))) |
1 |
1 |
Compiled 21708 to 7588 computations (65% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 818 | 8 | 826 |
| Fresh | 3 | 1 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 1 | 4 |
| Total | 825 | 10 | 835 |
| Status | Error | Program |
|---|---|---|
| 40.8b | 1 | |
| ✓ | 18.5b | (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
| 23.3b | -1 | |
| ▶ | 0.0b | (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
| ▶ | 22.4b | (fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1) |
| ▶ | 38.2b | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
| ▶ | 40.2b | (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
| ▶ | 22.7b | (*.f64 (/.f64 (-.f64 x y) y) (/.f64 (+.f64 x y) y)) |
| 0.0b | (/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))) | |
| 30.4b | (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y))) |
Compiled 239 to 133 computations (44.4% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (hypot.f64 x y) | |
| ✓ | 0.0b | (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
| ✓ | 0.0b | (/.f64 (hypot.f64 x y) (-.f64 x y)) |
| 0.0b | (/.f64 (+.f64 x y) (hypot.f64 x y)) |
Compiled 42 to 8 computations (81% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (/.f64 (hypot.f64 x y) (-.f64 x y)) |
| 1.0ms | y | @ | inf | (/.f64 (hypot.f64 x y) (-.f64 x y)) |
| 1.0ms | x | @ | inf | (/.f64 (hypot.f64 x y) (-.f64 x y)) |
| 1.0ms | x | @ | -inf | (/.f64 (hypot.f64 x y) (-.f64 x y)) |
| 0.0ms | y | @ | -inf | (/.f64 (hypot.f64 x y) (-.f64 x y)) |
| 1× | batch-egg-rewrite |
| 668× | prod-diff_binary64 |
| 659× | log-prod_binary64 |
| 277× | log-div_binary64 |
| 264× | fma-def_binary64 |
| 206× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 216 | 29 |
| 2 | 3560 | 29 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (hypot.f64 x y) (-.f64 x y)) |
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (hypot.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x y) (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (hypot.f64 x y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))) 2) (cbrt.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) (*.f64 (cbrt.f64 (hypot.f64 x y)) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))) (sqrt.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x y)) (*.f64 (sqrt.f64 (hypot.f64 x y)) (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (hypot.f64 x y)) (/.f64 1 (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x y)) (hypot.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (hypot.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (hypot.f64 x y)) 1) (/.f64 (sqrt.f64 (hypot.f64 x y)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (hypot.f64 x y) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (hypot.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (hypot.f64 x y)) (cbrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (hypot.f64 x y)) (sqrt.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x y) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (+.f64 x y) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (hypot.f64 x y) (neg.f64 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 3) (pow.f64 (-.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 x y) (-.f64 x y))) 1)))))) |
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| 1× | egg-herbie |
| 535× | associate-/l*_binary64 |
| 534× | associate-/r*_binary64 |
| 494× | associate-+l+_binary64 |
| 363× | associate-*r*_binary64 |
| 309× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 162 | 930 |
| 1 | 547 | 807 |
| 2 | 2096 | 699 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 -1 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) 1) |
1 |
(+.f64 (/.f64 y x) 1) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 3)) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 y x)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) 1) |
1 |
(+.f64 (/.f64 y x) 1) |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 3)) (*.f64 -1 (/.f64 x y)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
1 |
(+.f64 1 (/.f64 x y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 3)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 -1 (/.f64 x y)) 1) |
(fma.f64 -1 (/.f64 x y) -1) |
(-.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) 1) |
(+.f64 (fma.f64 -3/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y)) -1) |
(fma.f64 -3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -1 (/.f64 x y) -1)) |
(fma.f64 -3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 x y))) |
(-.f64 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (fma.f64 -3/2 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (neg.f64 x) y))) -1) |
(+.f64 -1 (-.f64 (*.f64 -3/2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 x y))) |
(+.f64 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 (*.f64 (*.f64 -3/2 x) x) (*.f64 y y))) (-.f64 -1 (/.f64 x y))) |
1 |
(+.f64 (/.f64 y x) 1) |
(+.f64 1 (/.f64 y x)) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x)))) |
(+.f64 (/.f64 y x) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 3/2 1)) |
(+.f64 (/.f64 y x) (fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) 3/2 1)) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 3)) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 (*.f64 y y) 3/2)))))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))) |
(+.f64 (/.f64 y x) (fma.f64 3/2 (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) 1)) |
(+.f64 (/.f64 y x) (fma.f64 3/2 (+.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (pow.f64 (/.f64 y x) 3)) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 y x)) 1) |
(fma.f64 -1 (/.f64 y x) -1) |
(-.f64 -1 (/.f64 y x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))) 1) |
(+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 y y) 3/2) (*.f64 x x))) (fma.f64 -1 (/.f64 y x) -1)) |
(fma.f64 -1 (+.f64 (/.f64 y x) (*.f64 (/.f64 (*.f64 y y) x) (/.f64 3/2 x))) -1) |
(+.f64 (-.f64 -1 (/.f64 y x)) (*.f64 -3/2 (/.f64 y (/.f64 (*.f64 x x) y)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 (*.f64 1/2 (pow.f64 y 2)) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 3))) (*.f64 -1 (/.f64 y x)))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 (*.f64 y y) 3/2) (*.f64 x x)) (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 (*.f64 y y) 3/2))) (neg.f64 (/.f64 y x)))) -1) |
(+.f64 -1 (-.f64 (neg.f64 (*.f64 3/2 (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))) (/.f64 y x))) |
(+.f64 (*.f64 -3/2 (+.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (pow.f64 (/.f64 y x) 3))) (-.f64 -1 (/.f64 y x))) |
1 |
(+.f64 (/.f64 y x) 1) |
(+.f64 1 (/.f64 y x)) |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x)))) |
(+.f64 (/.f64 y x) (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) 3/2 1)) |
(+.f64 (/.f64 y x) (fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) 3/2 1)) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 3/2 (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (*.f64 3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 y (/.f64 (pow.f64 x 3) (*.f64 (*.f64 y y) 3/2)))))) (/.f64 (neg.f64 (*.f64 y y)) (*.f64 x x))) |
(+.f64 (/.f64 y x) (fma.f64 3/2 (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) 1)) |
(+.f64 (/.f64 y x) (fma.f64 3/2 (+.f64 (/.f64 y (/.f64 (*.f64 x x) y)) (pow.f64 (/.f64 y x) 3)) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 x y)) 1) |
(fma.f64 -1 (/.f64 x y) -1) |
(-.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
(+.f64 (fma.f64 -3/2 (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (neg.f64 x) y)) -1) |
(fma.f64 -3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -1 (/.f64 x y) -1)) |
(fma.f64 -3/2 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 -1 (/.f64 x y))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 3)) (*.f64 -1 (/.f64 x y)))) (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1)) |
(+.f64 (fma.f64 -3/2 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (neg.f64 x) y))) -1) |
(+.f64 -1 (-.f64 (*.f64 -3/2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))) (/.f64 x y))) |
(+.f64 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 (*.f64 (*.f64 -3/2 x) x) (*.f64 y y))) (-.f64 -1 (/.f64 x y))) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 (/.f64 x y) 1) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/2)) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)))) |
(+.f64 1 (+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2 (/.f64 x y)) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(+.f64 (/.f64 x y) (+.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3/2) 1)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 3)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (-.f64 (+.f64 (/.f64 x y) (+.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 1/2) (/.f64 (*.f64 (*.f64 x x) 3/2) (/.f64 (pow.f64 y 3) x)))) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 y y)))) |
(+.f64 (+.f64 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1/2 (/.f64 x y)) (/.f64 (*.f64 (pow.f64 x 3) 3/2) (pow.f64 y 3))) (+.f64 1 (*.f64 (/.f64 x y) (/.f64 x y)))) |
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (*.f64 (pow.f64 (/.f64 x y) 3) 3/2) (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3/2)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1) |
(+.f64 (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1) |
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1) |
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (+.f64 1 (neg.f64 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))) |
(+.f64 1 (*.f64 0 (/.f64 y x))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x)))) (/.f64 (*.f64 y y) (*.f64 x x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(+.f64 (fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) (*.f64 0 (/.f64 y x))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x)))) (/.f64 (*.f64 y y) (*.f64 x x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(+.f64 (fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) (*.f64 0 (/.f64 y x))) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (+.f64 1 (neg.f64 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))) |
(+.f64 1 (*.f64 0 (/.f64 y x))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))) |
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x)))) (/.f64 (*.f64 y y) (*.f64 x x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(+.f64 (fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) (*.f64 0 (/.f64 y x))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))) |
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (*.f64 y y) (*.f64 x x)) (neg.f64 (/.f64 y x)))) (/.f64 (*.f64 y y) (*.f64 x x)))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(+.f64 (fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) (*.f64 0 (/.f64 y x))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 (/.f64 -2 x) (/.f64 (*.f64 y y) x)))) |
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 (/.f64 -2 x) (/.f64 y (/.f64 x y))))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (*.f64 -2 (pow.f64 y 6)) (pow.f64 x 6))))) |
(+.f64 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 -2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)))) (fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1)) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x y) y) |
| ✓ | 0.0b | (/.f64 (-.f64 x y) y) |
| ✓ | 0.1b | (*.f64 (/.f64 (-.f64 x y) y) (/.f64 (+.f64 x y) y)) |
Compiled 31 to 7 computations (77.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (/.f64 (-.f64 x y) y) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 x y) y) |
| 0.0ms | x | @ | 0 | (*.f64 (/.f64 (-.f64 x y) y) (/.f64 (+.f64 x y) y)) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 x y) y) |
| 0.0ms | y | @ | -inf | (/.f64 (+.f64 x y) y) |
| 1× | batch-egg-rewrite |
| 658× | prod-diff_binary64 |
| 558× | log-prod_binary64 |
| 280× | fma-def_binary64 |
| 266× | pow2_binary64 |
| 258× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 1 | 192 | 30 |
| 2 | 3246 | 30 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (-.f64 x y) y) (/.f64 (+.f64 x y) y)) |
(/.f64 (-.f64 x y) y) |
(/.f64 (+.f64 x y) y) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x y) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 2))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) 1) (/.f64 (sqrt.f64 (-.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (-.f64 x y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (-.f64 x y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (-.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (-.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x y) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) 2) (cbrt.f64 (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 y)) (/.f64 (sqrt.f64 x) (sqrt.f64 y)) -1))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) y)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (*.f64 (cbrt.f64 (+.f64 x y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) 2) (cbrt.f64 (/.f64 (+.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x y) y)) (sqrt.f64 (/.f64 (+.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 x y)) (/.f64 1 (neg.f64 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 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (+.f64 x y) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (+.f64 x y) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) 1) (/.f64 (sqrt.f64 (+.f64 x y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (+.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (+.f64 x y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (+.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) y)) 1)))))) |
| 1× | egg-herbie |
| 480× | distribute-neg-frac_binary64 |
| 440× | unswap-sqr_binary64 |
| 422× | associate-/l*_binary64 |
| 356× | fma-def_binary64 |
| 343× | div-sub_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 522 |
| 1 | 66 | 522 |
| 2 | 156 | 492 |
| 3 | 279 | 492 |
| 4 | 911 | 492 |
| 5 | 5557 | 492 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
(-.f64 (/.f64 x y) 1) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(/.f64 x y) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(/.f64 x y) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(/.f64 x y) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
| Outputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(/.f64 x y) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
-1 |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
(-.f64 (/.f64 x y) 1) |
(+.f64 (/.f64 x y) -1) |
(+.f64 -1 (/.f64 x y)) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(/.f64 x y) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(/.f64 x y) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(/.f64 x y) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (/.f64 x y)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
| ✓ | 0.3b | (*.f64 (/.f64 y x) (/.f64 y x)) |
Compiled 36 to 12 computations (66.7% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 y x) (/.f64 y x)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 y x) (/.f64 y x)) |
| 0.0ms | y | @ | 0 | (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
| 0.0ms | x | @ | 0 | (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 y x) (/.f64 y x)) |
| 1× | batch-egg-rewrite |
| 453× | log-prod_binary64 |
| 401× | prod-diff_binary64 |
| 348× | exp-prod_binary64 |
| 296× | fma-def_binary64 |
| 276× | pow-prod-down_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 20 |
| 1 | 195 | 18 |
| 2 | 2635 | 18 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 y x) (/.f64 y x)) |
(+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 y x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 y x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 y x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (*.f64 (/.f64 x y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (*.f64 x x) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 x (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y x) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x x) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 y (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 y) (*.f64 (/.f64 x y) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (/.f64 y x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 y) 2) (pow.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y y)) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 y (/.f64 y x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 1) (*.f64 (neg.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (neg.f64 y)) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (/.f64 y x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (/.f64 y x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y (/.f64 y x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) (/.f64 y x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 y x) (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 2 (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y x) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y x) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) -3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y x)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x y) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 2) (log.f64 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x y) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 y (/.f64 y x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (/.f64 y x)))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 y x))))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 y x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y x) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 y x))) 1) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2)))) (/.f64 (*.f64 (pow.f64 (/.f64 y x) 4) 4) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 (/.f64 y x) (sqrt.f64 -2))) (hypot.f64 1 (*.f64 (/.f64 y x) (sqrt.f64 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 (/.f64 y x) 6) -8 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 (/.f64 y x) 4) 4 (*.f64 2 (pow.f64 (/.f64 y x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 4) 4)) (/.f64 1 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 y x) 4) 4 (*.f64 2 (pow.f64 (/.f64 y x) 2)))) (fma.f64 (pow.f64 (/.f64 y x) 6) -8 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2))) (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 y x) 6) -8 1) (+.f64 1 (fma.f64 (pow.f64 (/.f64 y x) 4) 4 (*.f64 2 (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 y x) 6) -8 1) (fma.f64 (pow.f64 (/.f64 y x) 4) 4 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 4) 4)) (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) 6) -8 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 y x) 4) 4 (*.f64 2 (pow.f64 (/.f64 y x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 4) 4))) (neg.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (/.f64 y x) 4) 4 -1) (fma.f64 (pow.f64 (/.f64 y x) 2) -2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (*.f64 (pow.f64 (/.f64 y x) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (*.f64 (/.f64 y x) (sqrt.f64 -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 (/.f64 y x) 4) 4 (*.f64 2 (pow.f64 (/.f64 y x) 2)))) (fma.f64 (pow.f64 (/.f64 y x) 6) -8 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (*.f64 2 (pow.f64 (/.f64 y x) 2))) (-.f64 1 (*.f64 (pow.f64 (/.f64 y x) 4) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 y x) 2) -2))) 2)) (cbrt.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 y x) 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 y x) 2) -2)))) (sqrt.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 y x) 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 y x) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 y x) 2) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (*.f64 (pow.f64 (/.f64 y x) 2) -2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (*.f64 (pow.f64 (/.f64 y x) 2) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 1 (*.f64 (/.f64 y x) (sqrt.f64 -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 y x) 2) -2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 y x) (*.f64 (/.f64 y x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 y x) 2) -2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (pow.f64 (/.f64 y x) 2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (pow.f64 (/.f64 y x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (/.f64 y x) 2) -2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 2) -2)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 4) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 4) 4)) (cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) 2) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 4) (*.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 y x) (sqrt.f64 -2)) (*.f64 (/.f64 y x) (sqrt.f64 -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 y x) -2) (/.f64 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 y x) -2) y) (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 y x) -2) 1) (/.f64 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (/.f64 y x)) 4)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 y x) -2) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (/.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (/.f64 y x) -2) (sqrt.f64 (/.f64 y x))) (sqrt.f64 (/.f64 y x)) 1))))) |
| 1× | egg-herbie |
| 717× | *-commutative_binary64 |
| 638× | associate-/l*_binary64 |
| 574× | sqr-pow_binary64 |
| 397× | associate-/r*_binary64 |
| 323× | associate-/l/_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 570 |
| 1 | 24 | 534 |
| 2 | 49 | 534 |
| 3 | 137 | 534 |
| 4 | 674 | 534 |
| 5 | 4245 | 534 |
| 6 | 4924 | 534 |
| 7 | 5137 | 534 |
| 8 | 5341 | 534 |
| 9 | 5577 | 534 |
| 10 | 5901 | 534 |
| 11 | 6732 | 534 |
| 12 | 7284 | 534 |
| 13 | 7930 | 534 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
| Outputs |
|---|
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
(/.f64 (pow.f64 y 2) (pow.f64 x 2)) |
(/.f64 (*.f64 y y) (*.f64 x x)) |
(*.f64 (/.f64 y x) (/.f64 y x)) |
(/.f64 y (/.f64 (*.f64 x x) y)) |
(*.f64 y (/.f64 y (*.f64 x x))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x)) |
(*.f64 (/.f64 -2 x) (/.f64 (*.f64 y y) x)) |
(*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2) |
(*.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x))) |
(*.f64 y (*.f64 y (/.f64 -2 (*.f64 x x)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x)) |
(*.f64 (/.f64 -2 x) (/.f64 (*.f64 y y) x)) |
(*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2) |
(*.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x))) |
(*.f64 y (*.f64 y (/.f64 -2 (*.f64 x x)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
(*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x)) |
(*.f64 (/.f64 -2 x) (/.f64 (*.f64 y y) x)) |
(*.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2) |
(*.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x))) |
(*.f64 y (*.f64 y (/.f64 -2 (*.f64 x x)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (/.f64 (*.f64 -2 (*.f64 y y)) (*.f64 x x))) |
(fma.f64 (*.f64 (/.f64 y x) (/.f64 y x)) -2 1) |
(fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) -2 1) |
(fma.f64 (/.f64 y (/.f64 (*.f64 x x) y)) -2 1) |
(fma.f64 (*.f64 y y) (/.f64 -2 (*.f64 x x)) 1) |
(fma.f64 y (*.f64 y (/.f64 -2 (*.f64 x x))) 1) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 22.0b | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
Compiled 31 to 7 computations (77.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
| 0.0ms | y | @ | inf | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
| 0.0ms | y | @ | 0 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
| 0.0ms | x | @ | inf | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
| 0.0ms | y | @ | -inf | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
| 1× | batch-egg-rewrite |
| 911× | prod-diff_binary64 |
| 577× | log-prod_binary64 |
| 414× | fma-def_binary64 |
| 214× | log-div_binary64 |
| 190× | fma-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 16 |
| 1 | 193 | 16 |
| 2 | 3341 | 16 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)) (pow.f64 y -2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)) (pow.f64 y -2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)) (pow.f64 y -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (*.f64 y y) (+.f64 x y))) (/.f64 y (/.f64 (*.f64 y y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 (/.f64 (*.f64 y y) (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (*.f64 (+.f64 x y) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (*.f64 (-.f64 x y) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2))) 2) (cbrt.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (neg.f64 y)))) 2) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (neg.f64 y)))) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) y) (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x y) (neg.f64 (-.f64 x y))) (/.f64 1 (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) y) (/.f64 (+.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) (fma.f64 x x (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (/.f64 y (-.f64 x y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) 1) (/.f64 (+.f64 x y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) 1) (/.f64 (-.f64 x y) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (neg.f64 y)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (neg.f64 y)))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) 1) (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 (+.f64 x y) (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (neg.f64 y)))) 2) y) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (neg.f64 y)))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (*.f64 y y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) (cbrt.f64 (pow.f64 y 4))) (/.f64 (+.f64 x y) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x y) (cbrt.f64 (pow.f64 y 4))) (/.f64 (-.f64 x y) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 y 4))) (/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (*.f64 y (neg.f64 y)))) 2) (cbrt.f64 (pow.f64 y 4))) (cbrt.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (cbrt.f64 (pow.f64 y 4))) (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 x (sqrt.f64 (*.f64 y (neg.f64 y)))) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 y y) (fma.f64 x x (*.f64 y (neg.f64 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) 2) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 x y)) (+.f64 x y)) (pow.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) 3) (pow.f64 (*.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x (*.f64 y (neg.f64 y))) (pow.f64 y -2))) 1)))))) |
| 1× | egg-herbie |
| 480× | distribute-neg-frac_binary64 |
| 440× | unswap-sqr_binary64 |
| 422× | associate-/l*_binary64 |
| 362× | fma-def_binary64 |
| 343× | div-sub_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 240 |
| 1 | 62 | 240 |
| 2 | 154 | 210 |
| 3 | 284 | 210 |
| 4 | 916 | 210 |
| 5 | 5607 | 210 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
| Outputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(fma.f64 x (/.f64 x (*.f64 y y)) -1) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1) |
| ✓ | 0.2b | (/.f64 x (/.f64 y x)) |
Compiled 27 to 12 computations (55.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 x (/.f64 y x)) |
| 1.0ms | x | @ | 0 | (/.f64 x (/.f64 y x)) |
| 1.0ms | y | @ | 0 | (fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1) |
| 0.0ms | x | @ | 0 | (fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1) |
| 0.0ms | y | @ | -inf | (fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1) |
| 1× | batch-egg-rewrite |
| 475× | log-prod_binary64 |
| 378× | exp-prod_binary64 |
| 300× | prod-exp_binary64 |
| 264× | pow-prod-down_binary64 |
| 247× | pow2_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 193 | 21 |
| 2 | 2548 | 18 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x (/.f64 y x)) |
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x y))))) (#(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 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) y) (*.f64 (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) -2) (/.f64 x (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (cbrt.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y x) -1/2) (/.f64 x (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (/.f64 y x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 x y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(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)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (*.f64 x x)) -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 pow.f64 (/.f64 y (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 x (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (*.f64 x x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (/.f64 x y)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (/.f64 x y))))) (sqrt.f64 (log.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (/.f64 (neg.f64 y) x)))))) (#(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 (pow.f64 (exp.f64 x) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 y (*.f64 x x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y x) 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 exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y (*.f64 x x)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 x y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 x y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 y x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (/.f64 y x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (*.f64 x x)) (*.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 x y)) (*.f64 (log.f64 x) 1))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 2 (pow.f64 (/.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) 2) (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) 3) -1) (+.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) 2) (-.f64 1 (*.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) 2) 1) (fma.f64 2 (pow.f64 (/.f64 y x) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))) (sqrt.f64 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 2 (pow.f64 (/.f64 y x) -2) -1)) 1) 1)))))) |
| 1× | egg-herbie |
| 705× | associate-/l*_binary64 |
| 482× | sqr-pow_binary64 |
| 432× | associate-/r*_binary64 |
| 426× | associate-/l/_binary64 |
| 399× | unswap-sqr_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 462 |
| 1 | 27 | 462 |
| 2 | 53 | 462 |
| 3 | 148 | 462 |
| 4 | 766 | 462 |
| 5 | 4879 | 462 |
| 6 | 5752 | 462 |
| 7 | 5988 | 462 |
| 8 | 6201 | 462 |
| 9 | 6449 | 462 |
| 10 | 6786 | 462 |
| 11 | 7222 | 462 |
| 12 | 7785 | 462 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (pow.f64 x 2) y) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
| Outputs |
|---|
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(/.f64 (pow.f64 x 2) y) |
(/.f64 (*.f64 x x) y) |
(/.f64 x (/.f64 y x)) |
(*.f64 x (/.f64 x y)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 2 (/.f64 (*.f64 y y) (*.f64 x x))) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 2 (*.f64 x (/.f64 x (*.f64 y y)))) |
(*.f64 x (*.f64 2 (/.f64 (/.f64 x y) y))) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 2 (/.f64 (*.f64 y y) (*.f64 x x))) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 2 (*.f64 x (/.f64 x (*.f64 y y)))) |
(*.f64 x (*.f64 2 (/.f64 (/.f64 x y) y))) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (*.f64 x x) (*.f64 y y))) |
(/.f64 2 (/.f64 (*.f64 y y) (*.f64 x x))) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 2 (*.f64 x (/.f64 x (*.f64 y y)))) |
(*.f64 x (*.f64 2 (/.f64 (/.f64 x y) y))) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (*.f64 x (/.f64 x (*.f64 y y))) -1) |
(fma.f64 (/.f64 x y) (*.f64 x (/.f64 2 y)) -1) |
(fma.f64 x (*.f64 (/.f64 2 y) (/.f64 x y)) -1) |
Compiled 13759 to 5572 computations (59.5% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 753 | 5 | 758 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 4 | 5 |
| Total | 757 | 11 | 768 |
| Status | Error | Program |
|---|---|---|
| 40.8b | 1 | |
| ✓ | 18.5b | (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
| 23.3b | -1 | |
| ▶ | 0.2b | (*.f64 (+.f64 x y) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))) |
| ✓ | 40.2b | (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
| ▶ | 30.4b | (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (-.f64 x y))) |
| ✓ | 38.2b | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
| ▶ | 22.8b | (/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
| ✓ | 0.0b | (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
| ▶ | 0.0b | (/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))) |
| ▶ | 22.4b | (+.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1) |
Compiled 232 to 132 computations (43.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (hypot.f64 x y) | |
| 0.0b | (/.f64 (hypot.f64 x y) (-.f64 x y)) | |
| ✓ | 0.0b | (/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))) |
| ✓ | 0.0b | (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
Compiled 46 to 8 computations (82.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
| 0.0ms | y | @ | 0 | (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
| 0.0ms | y | @ | inf | (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
| 0.0ms | x | @ | inf | (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
| 0.0ms | y | @ | -inf | (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
| 1× | batch-egg-rewrite |
| 650× | prod-diff_binary64 |
| 619× | log-prod_binary64 |
| 295× | pow2_binary64 |
| 262× | fma-def_binary64 |
| 222× | log-div_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 38 |
| 1 | 210 | 32 |
| 2 | 3298 | 32 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 x y) (/.f64 (-.f64 x y) (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (hypot.f64 x y) 2)) (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (hypot.f64 x y)) (hypot.f64 x y)) (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (hypot.f64 x y) (neg.f64 (hypot.f64 x y))) (neg.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) 1) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (cbrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (hypot.f64 x y) 3) (pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) 3) (pow.f64 (hypot.f64 x y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x y) 3) (pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) 3) (pow.f64 (hypot.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (*.f64 (/.f64 1 (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x 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-1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)) (+.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x y) (/.f64 (neg.f64 (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) 2) (-.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 x y) (pow.f64 (hypot.f64 x y) 2)) (-.f64 x y))) 1)))))) |
| 1× | egg-herbie |
| 720× | fma-def_binary64 |
| 447× | associate-+l+_binary64 |
| 405× | div-sub_binary64 |
| 370× | associate-/l*_binary64 |
| 360× | associate-/r*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 825 |
| 1 | 482 | 758 |
| 2 | 1778 | 614 |
| 3 | 7409 | 614 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 y) |
(+.f64 (*.f64 -1 x) (*.f64 -1 y)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 x) (*.f64 -1 y))) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 x) (*.f64 -1 y)))) |
x |
(+.f64 y x) |
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 y x)) (*.f64 -1 (/.f64 (pow.f64 y 2) x))) |
(-.f64 (+.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 y x))) (*.f64 -1 (/.f64 (pow.f64 y 2) x))) |
x |
(+.f64 y x) |
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 y x)) (*.f64 -1 (/.f64 (pow.f64 y 2) x))) |
(-.f64 (+.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 y x))) (*.f64 -1 (/.f64 (pow.f64 y 2) x))) |
x |
(+.f64 y x) |
(+.f64 y (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) x)) |
(+.f64 y (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) x))) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 x) (*.f64 -1 y)) |
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))) (/.f64 (pow.f64 x 2) y)) |
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 2))))) (/.f64 (pow.f64 x 2) y)) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 x) (*.f64 -1 y)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) y)) (+.f64 (*.f64 -1 x) (*.f64 -1 y))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) y)) (+.f64 (*.f64 -1 x) (*.f64 -1 y)))) |
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
| Outputs |
|---|
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 x) (*.f64 -1 y)) |
(*.f64 -1 (+.f64 y x)) |
(-.f64 (neg.f64 y) x) |
(-.f64 (neg.f64 x) y) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 x) (*.f64 -1 y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) y) (*.f64 -1 (+.f64 y x))) |
(-.f64 (fma.f64 -2 (/.f64 x (/.f64 y x)) (neg.f64 x)) y) |
(-.f64 (*.f64 -2 (/.f64 (*.f64 x x) y)) (+.f64 y x)) |
(+.f64 (*.f64 -2 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 x) (*.f64 -1 y)))) |
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -2 (/.f64 (*.f64 x x) y) (*.f64 -1 (+.f64 y x)))) |
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (-.f64 (fma.f64 -2 (/.f64 x (/.f64 y x)) (neg.f64 x)) y)) |
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 (*.f64 x x) y)) (-.f64 (neg.f64 x) y)) |
x |
(+.f64 y x) |
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 y x)) (*.f64 -1 (/.f64 (pow.f64 y 2) x))) |
(-.f64 (+.f64 (+.f64 y x) (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 (*.f64 y y)) x)) |
(+.f64 (+.f64 y x) (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x))) |
(+.f64 y (fma.f64 2 (/.f64 (*.f64 y y) x) x)) |
(-.f64 (+.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 y x))) (*.f64 -1 (/.f64 (pow.f64 y 2) x))) |
(+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 y y) (neg.f64 (*.f64 y y)))) (*.f64 x x)) (-.f64 (+.f64 (+.f64 y x) (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 (*.f64 y y)) x))) |
(+.f64 (+.f64 (+.f64 y x) (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x))) (*.f64 2 (/.f64 (pow.f64 y 3) (*.f64 x x)))) |
(+.f64 y (fma.f64 2 (*.f64 (/.f64 (*.f64 y y) x) (+.f64 1 (/.f64 y x))) x)) |
x |
(+.f64 y x) |
(-.f64 (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 y x)) (*.f64 -1 (/.f64 (pow.f64 y 2) x))) |
(-.f64 (+.f64 (+.f64 y x) (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 (*.f64 y y)) x)) |
(+.f64 (+.f64 y x) (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x))) |
(+.f64 y (fma.f64 2 (/.f64 (*.f64 y y) x) x)) |
(-.f64 (+.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2)))) (pow.f64 x 2)) (+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 y x))) (*.f64 -1 (/.f64 (pow.f64 y 2) x))) |
(+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 y y) (neg.f64 (*.f64 y y)))) (*.f64 x x)) (-.f64 (+.f64 (+.f64 y x) (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 (*.f64 y y)) x))) |
(+.f64 (+.f64 (+.f64 y x) (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x))) (*.f64 2 (/.f64 (pow.f64 y 3) (*.f64 x x)))) |
(+.f64 y (fma.f64 2 (*.f64 (/.f64 (*.f64 y y) x) (+.f64 1 (/.f64 y x))) x)) |
x |
(+.f64 y x) |
(+.f64 y (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) x)) |
(-.f64 (+.f64 (+.f64 y x) (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 (*.f64 y y)) x)) |
(+.f64 (+.f64 y x) (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x))) |
(+.f64 y (fma.f64 2 (/.f64 (*.f64 y y) x) x)) |
(+.f64 y (+.f64 (*.f64 2 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 2) x)) x))) |
(+.f64 (/.f64 (*.f64 y (-.f64 (*.f64 y y) (neg.f64 (*.f64 y y)))) (*.f64 x x)) (-.f64 (+.f64 (+.f64 y x) (/.f64 (*.f64 y y) x)) (/.f64 (neg.f64 (*.f64 y y)) x))) |
(+.f64 (+.f64 (+.f64 y x) (+.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x))) (*.f64 2 (/.f64 (pow.f64 y 3) (*.f64 x x)))) |
(+.f64 y (fma.f64 2 (*.f64 (/.f64 (*.f64 y y) x) (+.f64 1 (/.f64 y x))) x)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 x) (*.f64 -1 y)) |
(*.f64 -1 (+.f64 y x)) |
(-.f64 (neg.f64 y) x) |
(-.f64 (neg.f64 x) y) |
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -2 (/.f64 (*.f64 x x) y) (*.f64 -1 (+.f64 y x))) |
(-.f64 (fma.f64 -2 (/.f64 x (/.f64 y x)) (neg.f64 x)) y) |
(-.f64 (*.f64 -2 (/.f64 (*.f64 x x) y)) (+.f64 y x)) |
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (+.f64 (*.f64 -1 y) (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2)) x) (pow.f64 y 2))))) (/.f64 (pow.f64 x 2) y)) |
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -2 (/.f64 (*.f64 x x) y) (*.f64 -1 (+.f64 y x)))) |
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (-.f64 (fma.f64 -2 (/.f64 x (/.f64 y x)) (neg.f64 x)) y)) |
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 (*.f64 x x) y)) (-.f64 (neg.f64 x) y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 x) (*.f64 -1 y)) |
(*.f64 -1 (+.f64 y x)) |
(-.f64 (neg.f64 y) x) |
(-.f64 (neg.f64 x) y) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) y)) (+.f64 (*.f64 -1 x) (*.f64 -1 y))) |
(fma.f64 -2 (/.f64 (*.f64 x x) y) (*.f64 -1 (+.f64 y x))) |
(-.f64 (fma.f64 -2 (/.f64 x (/.f64 y x)) (neg.f64 x)) y) |
(-.f64 (*.f64 -2 (/.f64 (*.f64 x x) y)) (+.f64 y x)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (pow.f64 x 2) (*.f64 -1 (pow.f64 x 2))) y)) (+.f64 (*.f64 -1 x) (*.f64 -1 y)))) |
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (fma.f64 -2 (/.f64 (*.f64 x x) y) (*.f64 -1 (+.f64 y x)))) |
(fma.f64 -2 (/.f64 (pow.f64 x 3) (*.f64 y y)) (-.f64 (fma.f64 -2 (/.f64 x (/.f64 y x)) (neg.f64 x)) y)) |
(fma.f64 -2 (*.f64 (+.f64 (/.f64 x y) 1) (/.f64 (*.f64 x x) y)) (-.f64 (neg.f64 x) y)) |
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1) |
(+.f64 (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1) |
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1) |
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))) |
(fma.f64 2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (neg.f64 y) x))) |
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))) |
(+.f64 1 (*.f64 0 (/.f64 y x))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y x))))) (/.f64 (*.f64 y y) (*.f64 x x))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(+.f64 (*.f64 0 (/.f64 y x)) (fma.f64 (/.f64 -2 x) (/.f64 (*.f64 y y) x) 1)) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y x))))) (/.f64 (*.f64 y y) (*.f64 x x))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(+.f64 (*.f64 0 (/.f64 y x)) (fma.f64 (/.f64 -2 x) (/.f64 (*.f64 y y) x) 1)) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (neg.f64 y) x))) |
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))) |
(+.f64 1 (*.f64 0 (/.f64 y x))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y x))))) (/.f64 (*.f64 y y) (*.f64 x x))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(+.f64 (*.f64 0 (/.f64 y x)) (fma.f64 (/.f64 -2 x) (/.f64 (*.f64 y y) x) 1)) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y x))))) (/.f64 (*.f64 y y) (*.f64 x x))) |
(+.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (-.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(+.f64 (*.f64 0 (/.f64 y x)) (fma.f64 (/.f64 -2 x) (/.f64 (*.f64 y y) x) 1)) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (*.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)))) |
(fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) 1) |
(fma.f64 (/.f64 -2 x) (/.f64 (*.f64 y y) x) 1) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 1 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (fma.f64 (/.f64 -2 x) (/.f64 (*.f64 y y) x) 1)) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
(+.f64 1 (fma.f64 -2 (/.f64 (*.f64 y y) (*.f64 x x)) (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
(+.f64 1 (fma.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)))))) |
(+.f64 1 (fma.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (*.f64 -2 (+.f64 (/.f64 (pow.f64 y 6) (pow.f64 x 6)) (*.f64 (/.f64 y x) (/.f64 y x)))))) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 y (-.f64 x y)) |
| ✓ | 0.1b | (*.f64 (/.f64 y (-.f64 x y)) y) |
| ✓ | 2.3b | (/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
Compiled 33 to 7 computations (78.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (*.f64 (/.f64 y (-.f64 x y)) y) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 y (-.f64 x y)) y) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 y (-.f64 x y)) y) |
| 0.0ms | x | @ | -inf | (/.f64 y (-.f64 x y)) |
| 0.0ms | y | @ | inf | (*.f64 (/.f64 y (-.f64 x y)) y) |
| 1× | batch-egg-rewrite |
| 579× | prod-diff_binary64 |
| 570× | log-prod_binary64 |
| 266× | pow2_binary64 |
| 244× | fma-def_binary64 |
| 219× | log-div_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 33 |
| 1 | 188 | 33 |
| 2 | 3032 | 33 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
(*.f64 (/.f64 y (-.f64 x y)) y) |
(/.f64 y (-.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 x y) (*.f64 (pow.f64 y -2) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 (pow.f64 y -2) (-.f64 x y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 (pow.f64 y -2) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 (pow.f64 y -2) (-.f64 x y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 (pow.f64 y -2) (-.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) (*.f64 (pow.f64 y -2) (-.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (*.f64 (pow.f64 y -2) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x y) (*.f64 (pow.f64 y -2) (-.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 x y) (*.f64 (pow.f64 y -2) (-.f64 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| 1× | egg-herbie |
| 604× | associate-/r*_binary64 |
| 563× | associate-*l/_binary64 |
| 411× | associate-/r/_binary64 |
| 407× | cancel-sign-sub-inv_binary64 |
| 399× | associate-*r*_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 1173 |
| 1 | 200 | 1143 |
| 2 | 617 | 993 |
| 3 | 2160 | 954 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
(/.f64 (pow.f64 y 2) x) |
(+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2))) |
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))))) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 x) (*.f64 -1 y)) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y)))) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 x) (*.f64 -1 y)) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y)))) |
(*.f64 -1 y) |
(+.f64 (*.f64 -1 x) (*.f64 -1 y)) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y)))) |
(/.f64 (pow.f64 y 2) x) |
(+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2))) |
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))))) |
(/.f64 (pow.f64 y 2) x) |
(+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2))) |
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) 1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) 1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) 1) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
| Outputs |
|---|
-1 |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(-.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) 1) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (/.f64 x y))) |
(fma.f64 (/.f64 x y) (/.f64 x y) -1) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2))) |
(+.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y 3) (*.f64 x x))) |
(+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) (*.f64 x x))) |
(*.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) (+.f64 (*.f64 y (/.f64 y x)) y)) |
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))) |
(+.f64 (/.f64 y (/.f64 x y)) (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))) |
(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) (*.f64 (pow.f64 (/.f64 y x) 3) y)) |
(+.f64 (*.f64 (/.f64 y x) (+.f64 (*.f64 y (/.f64 y x)) y)) (*.f64 (pow.f64 (/.f64 y x) 3) y)) |
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))))) |
(+.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))))) |
(+.f64 (/.f64 y (/.f64 x y)) (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))))) |
(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) (+.f64 (*.f64 (pow.f64 (/.f64 y x) 3) y) (/.f64 (pow.f64 y 5) (pow.f64 x 4)))) |
(+.f64 (*.f64 (/.f64 y x) (+.f64 (*.f64 y (/.f64 y x)) y)) (+.f64 (*.f64 (pow.f64 (/.f64 y x) 3) y) (/.f64 (pow.f64 y 5) (pow.f64 x 4)))) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 x) (*.f64 -1 y)) |
(*.f64 -1 (+.f64 x y)) |
(-.f64 (neg.f64 x) y) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))) |
(fma.f64 -1 x (*.f64 -1 (+.f64 (/.f64 (*.f64 x x) y) y))) |
(-.f64 (-.f64 (neg.f64 y) (/.f64 x (/.f64 y x))) x) |
(-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) (+.f64 x y)) |
(-.f64 (*.f64 x (-.f64 -1 (/.f64 x y))) y) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y)))) |
(fma.f64 -1 x (fma.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (*.f64 x x) y) y)))) |
(-.f64 (-.f64 (-.f64 (neg.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (*.f64 y y))) x) |
(-.f64 (neg.f64 (*.f64 (+.f64 1 (/.f64 x y)) (*.f64 (/.f64 x y) x))) (+.f64 x y)) |
(-.f64 (*.f64 (/.f64 x y) (*.f64 x (-.f64 -1 (/.f64 x y)))) (+.f64 x y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 x) (*.f64 -1 y)) |
(*.f64 -1 (+.f64 x y)) |
(-.f64 (neg.f64 x) y) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))) |
(fma.f64 -1 x (*.f64 -1 (+.f64 (/.f64 (*.f64 x x) y) y))) |
(-.f64 (-.f64 (neg.f64 y) (/.f64 x (/.f64 y x))) x) |
(-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) (+.f64 x y)) |
(-.f64 (*.f64 x (-.f64 -1 (/.f64 x y))) y) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y)))) |
(fma.f64 -1 x (fma.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (*.f64 x x) y) y)))) |
(-.f64 (-.f64 (-.f64 (neg.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (*.f64 y y))) x) |
(-.f64 (neg.f64 (*.f64 (+.f64 1 (/.f64 x y)) (*.f64 (/.f64 x y) x))) (+.f64 x y)) |
(-.f64 (*.f64 (/.f64 x y) (*.f64 x (-.f64 -1 (/.f64 x y)))) (+.f64 x y)) |
(*.f64 -1 y) |
(neg.f64 y) |
(+.f64 (*.f64 -1 x) (*.f64 -1 y)) |
(*.f64 -1 (+.f64 x y)) |
(-.f64 (neg.f64 x) y) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y))) |
(fma.f64 -1 x (*.f64 -1 (+.f64 (/.f64 (*.f64 x x) y) y))) |
(-.f64 (-.f64 (neg.f64 y) (/.f64 x (/.f64 y x))) x) |
(-.f64 (/.f64 (neg.f64 x) (/.f64 y x)) (+.f64 x y)) |
(-.f64 (*.f64 x (-.f64 -1 (/.f64 x y))) y) |
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) y)) (*.f64 -1 y)))) |
(fma.f64 -1 x (fma.f64 -1 (/.f64 (pow.f64 x 3) (*.f64 y y)) (*.f64 -1 (+.f64 (/.f64 (*.f64 x x) y) y)))) |
(-.f64 (-.f64 (-.f64 (neg.f64 y) (/.f64 x (/.f64 y x))) (/.f64 (pow.f64 x 3) (*.f64 y y))) x) |
(-.f64 (neg.f64 (*.f64 (+.f64 1 (/.f64 x y)) (*.f64 (/.f64 x y) x))) (+.f64 x y)) |
(-.f64 (*.f64 (/.f64 x y) (*.f64 x (-.f64 -1 (/.f64 x y)))) (+.f64 x y)) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2))) |
(+.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y 3) (*.f64 x x))) |
(+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) (*.f64 x x))) |
(*.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) (+.f64 (*.f64 y (/.f64 y x)) y)) |
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))) |
(+.f64 (/.f64 y (/.f64 x y)) (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))) |
(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) (*.f64 (pow.f64 (/.f64 y x) 3) y)) |
(+.f64 (*.f64 (/.f64 y x) (+.f64 (*.f64 y (/.f64 y x)) y)) (*.f64 (pow.f64 (/.f64 y x) 3) y)) |
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))))) |
(+.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))))) |
(+.f64 (/.f64 y (/.f64 x y)) (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))))) |
(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) (+.f64 (*.f64 (pow.f64 (/.f64 y x) 3) y) (/.f64 (pow.f64 y 5) (pow.f64 x 4)))) |
(+.f64 (*.f64 (/.f64 y x) (+.f64 (*.f64 y (/.f64 y x)) y)) (+.f64 (*.f64 (pow.f64 (/.f64 y x) 3) y) (/.f64 (pow.f64 y 5) (pow.f64 x 4)))) |
(/.f64 (pow.f64 y 2) x) |
(/.f64 (*.f64 y y) x) |
(/.f64 y (/.f64 x y)) |
(*.f64 (/.f64 y x) y) |
(*.f64 y (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 2) x) (/.f64 (pow.f64 y 3) (pow.f64 x 2))) |
(+.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 y 3) (*.f64 x x))) |
(+.f64 (/.f64 y (/.f64 x y)) (/.f64 (pow.f64 y 3) (*.f64 x x))) |
(*.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) |
(*.f64 (/.f64 y x) (+.f64 (*.f64 y (/.f64 y x)) y)) |
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (pow.f64 y 3) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))) |
(+.f64 (/.f64 y (/.f64 x y)) (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 3)))) |
(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) (*.f64 (pow.f64 (/.f64 y x) 3) y)) |
(+.f64 (*.f64 (/.f64 y x) (+.f64 (*.f64 y (/.f64 y x)) y)) (*.f64 (pow.f64 (/.f64 y x) 3) y)) |
(+.f64 (/.f64 (pow.f64 y 2) x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 2)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))))) |
(+.f64 (/.f64 (*.f64 y y) x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))))) |
(+.f64 (/.f64 y (/.f64 x y)) (+.f64 (/.f64 (pow.f64 y 3) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 3)) (/.f64 (pow.f64 y 5) (pow.f64 x 4))))) |
(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (*.f64 (/.f64 y x) y)) (+.f64 (*.f64 (pow.f64 (/.f64 y x) 3) y) (/.f64 (pow.f64 y 5) (pow.f64 x 4)))) |
(+.f64 (*.f64 (/.f64 y x) (+.f64 (*.f64 y (/.f64 y x)) y)) (+.f64 (*.f64 (pow.f64 (/.f64 y x) 3) y) (/.f64 (pow.f64 y 5) (pow.f64 x 4)))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) |
(+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) |
(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) |
(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (pow.f64 (/.f64 y x) 3)) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (pow.f64 (/.f64 y x) 3))) |
(*.f64 (+.f64 (*.f64 y (/.f64 (/.f64 y x) x)) 1) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 x y)) 1) |
(fma.f64 -1 (/.f64 x y) -1) |
(-.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) 1) |
(+.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 -1 (/.f64 x y) -1)) |
(fma.f64 -1 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (neg.f64 x) y))) -1) |
(+.f64 -1 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(+.f64 -1 (-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y))) (pow.f64 (/.f64 x y) 3))) |
(*.f64 (+.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1) (-.f64 -1 (/.f64 x y))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 x y)) 1) |
(fma.f64 -1 (/.f64 x y) -1) |
(-.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) 1) |
(+.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 -1 (/.f64 x y) -1)) |
(fma.f64 -1 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (neg.f64 x) y))) -1) |
(+.f64 -1 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(+.f64 -1 (-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y))) (pow.f64 (/.f64 x y) 3))) |
(*.f64 (+.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1) (-.f64 -1 (/.f64 x y))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 x y)) 1) |
(fma.f64 -1 (/.f64 x y) -1) |
(-.f64 -1 (/.f64 x y)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -1 (/.f64 x y))) 1) |
(+.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 y y))) (fma.f64 -1 (/.f64 x y) -1)) |
(fma.f64 -1 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 x y)) -1) |
(+.f64 -1 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y)))) 1) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) (fma.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (neg.f64 x) y))) -1) |
(+.f64 -1 (-.f64 (-.f64 (/.f64 (neg.f64 x) y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 (/.f64 x y) (/.f64 x y)))) |
(+.f64 -1 (-.f64 (*.f64 (/.f64 x y) (-.f64 -1 (/.f64 x y))) (pow.f64 (/.f64 x y) 3))) |
(*.f64 (+.f64 (*.f64 x (/.f64 x (*.f64 y y))) 1) (-.f64 -1 (/.f64 x y))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) |
(+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) |
(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) |
(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (pow.f64 (/.f64 y x) 3)) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (pow.f64 (/.f64 y x) 3))) |
(*.f64 (+.f64 (*.f64 y (/.f64 (/.f64 y x) x)) 1) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))) |
(/.f64 y x) |
(+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) |
(+.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y x))) |
(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (*.f64 x x))) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) |
(+.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) |
(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (pow.f64 (/.f64 y x) 3)) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (/.f64 (pow.f64 y 2) (pow.f64 x 2))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (+.f64 (/.f64 y x) (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 y x) (+.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (/.f64 (pow.f64 y 3) (pow.f64 x 3)))) (/.f64 (pow.f64 y 4) (pow.f64 x 4))) |
(+.f64 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (+.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 4)) (pow.f64 (/.f64 y x) 3))) |
(*.f64 (+.f64 (*.f64 y (/.f64 (/.f64 y x) x)) 1) (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 2 (pow.f64 (/.f64 y x) -2)) |
| ✓ | 0.3b | (pow.f64 (/.f64 y x) -2) |
Compiled 31 to 18 computations (41.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | -inf | (pow.f64 (/.f64 y x) -2) |
| 1.0ms | y | @ | inf | (pow.f64 (/.f64 y x) -2) |
| 1.0ms | x | @ | -inf | (pow.f64 (/.f64 y x) -2) |
| 1.0ms | y | @ | 0 | (pow.f64 (/.f64 y x) -2) |
| 1.0ms | x | @ | 0 | (*.f64 2 (pow.f64 (/.f64 y x) -2)) |
| 1× | batch-egg-rewrite |
| 781× | pow1_binary64 |
| 724× | add-log-exp_binary64 |
| 723× | log1p-expm1-u_binary64 |
| 723× | expm1-log1p-u_binary64 |
| 708× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 17 |
| 1 | 170 | 17 |
| 2 | 2011 | 17 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 y x) -2) |
(*.f64 2 (pow.f64 (/.f64 y x) -2)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 y x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 y x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 y x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -2)) (cbrt.f64 (pow.f64 (/.f64 y x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 y x) -4)) (cbrt.f64 (pow.f64 (/.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -2) (pow.f64 (/.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) -2) (pow.f64 (cbrt.f64 (/.f64 y x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 y x)) -2) (pow.f64 (sqrt.f64 (/.f64 y x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y x) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 y x) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 y x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 (/.f64 y x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 y x) -2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 x y) (sqrt.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (/.f64 y x) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (/.f64 y x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (/.f64 y x) -2) 2))))))) |
| 1× | egg-herbie |
| 703× | *-commutative_binary64 |
| 640× | associate-/l*_binary64 |
| 574× | sqr-pow_binary64 |
| 395× | associate-/r*_binary64 |
| 337× | associate-/l/_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 552 |
| 1 | 19 | 552 |
| 2 | 44 | 552 |
| 3 | 131 | 552 |
| 4 | 665 | 552 |
| 5 | 4214 | 552 |
| 6 | 4822 | 552 |
| 7 | 5035 | 552 |
| 8 | 5239 | 552 |
| 9 | 5475 | 552 |
| 10 | 5795 | 552 |
| 11 | 6601 | 552 |
| 12 | 7129 | 552 |
| 13 | 7772 | 552 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
| Outputs |
|---|
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(/.f64 (pow.f64 x 2) (pow.f64 y 2)) |
(/.f64 (*.f64 x x) (*.f64 y y)) |
(*.f64 (/.f64 x y) (/.f64 x y)) |
(*.f64 x (/.f64 x (*.f64 y y))) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
(*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(/.f64 (*.f64 2 (*.f64 x x)) (*.f64 y y)) |
(*.f64 2 (*.f64 (/.f64 x y) (/.f64 x y))) |
(*.f64 (*.f64 2 (/.f64 x (*.f64 y y))) x) |
(*.f64 x (*.f64 (/.f64 2 y) (/.f64 x y))) |
(/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (/.f64 (+.f64 x y) (hypot.f64 x y)) | |
| ✓ | 0.1b | (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (-.f64 x y)) |
| ✓ | 0.1b | (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (-.f64 x y))) |
| 0.2b | (/.f64 x (/.f64 y x)) |
Compiled 79 to 23 computations (70.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (-.f64 x y)) |
| 1.0ms | x | @ | inf | (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (-.f64 x y))) |
| 1.0ms | y | @ | 0 | (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (-.f64 x y))) |
| 1.0ms | x | @ | 0 | (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (-.f64 x y))) |
| 1.0ms | x | @ | -inf | (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (-.f64 x y))) |
| 1× | batch-egg-rewrite |
| 546× | fma-def_binary64 |
| 323× | fma-neg_binary64 |
| 323× | expm1-udef_binary64 |
| 323× | log1p-udef_binary64 |
| 182× | add-sqr-sqrt_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 50 |
| 1 | 344 | 50 |
| 2 | 5771 | 50 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (-.f64 x y))) |
(/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (-.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (+.f64 x y) (*.f64 (fma.f64 x (*.f64 (/.f64 x y) -1/2) (neg.f64 y)) (hypot.f64 x y)))) (*.f64 (neg.f64 y) (/.f64 (+.f64 x y) (*.f64 (fma.f64 x (*.f64 (/.f64 x y) -1/2) (neg.f64 y)) (hypot.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x (*.f64 (/.f64 x y) -1/2) (neg.f64 y)) (hypot.f64 x y))) x) (*.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x (*.f64 (/.f64 x y) -1/2) (neg.f64 y)) (hypot.f64 x y))) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 x y) (fma.f64 x (*.f64 (/.f64 x y) -1/2) (neg.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (/.f64 1 (*.f64 (hypot.f64 x y) (/.f64 (fma.f64 x (*.f64 (/.f64 x y) -1/2) (neg.f64 y)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (-.f64 x y) 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#<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (/.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 -1/2 (cbrt.f64 (-.f64 x y))) (neg.f64 (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 x y) -1/2)) 2)) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 x y) -1/2))) (cbrt.f64 (-.f64 x y))) (neg.f64 (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 x y) -1/2))) (pow.f64 (cbrt.f64 (-.f64 x y)) 2)) (/.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 x y) -1/2))) (cbrt.f64 (-.f64 x y))) (neg.f64 (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1/2 (sqrt.f64 (-.f64 x y))) (/.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (-.f64 x y))) (neg.f64 (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (/.f64 x y)) (sqrt.f64 (-.f64 x y))) (/.f64 -1/2 (sqrt.f64 (-.f64 x y))) (neg.f64 (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 x y) -1/2)) 2)) (sqrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 x y) -1/2))) (sqrt.f64 (-.f64 x y))) (neg.f64 (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 x y) -1/2))) (sqrt.f64 (-.f64 x y))) (/.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 x y) -1/2))) (sqrt.f64 (-.f64 x y))) (neg.f64 (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (*.f64 (/.f64 x y) -1/2)) (-.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (*.f64 (/.f64 x y) -1/2)) (-.f64 (*.f64 x x) (*.f64 y y))) (+.f64 x y) (neg.f64 (/.f64 y (-.f64 x y)))))))) |
| 1× | egg-herbie |
| 870× | fma-def_binary64 |
| 677× | associate-/l*_binary64 |
| 565× | associate-/r*_binary64 |
| 515× | associate-*r*_binary64 |
| 462× | associate-*l*_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 986 |
| 1 | 542 | 823 |
| 2 | 2281 | 635 |
| 1× | node limit |
| Inputs |
|---|
1 |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 y (*.f64 -1 y)) x) (pow.f64 y 2))) 1) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 y (*.f64 -1 y)) x) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 y (*.f64 -1 y)) x) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (/.f64 (*.f64 (+.f64 y (*.f64 -1 y)) (pow.f64 x 3)) (pow.f64 y 4))))) |
(*.f64 -2 (/.f64 y x)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (*.f64 -2 (/.f64 y x))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (pow.f64 y 3)) (*.f64 4 (*.f64 (+.f64 y (*.f64 1/4 y)) (pow.f64 y 2)))) (pow.f64 x 3))))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (*.f64 4 (/.f64 (*.f64 (+.f64 y (*.f64 1/4 y)) (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y)))) (pow.f64 x 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (pow.f64 y 3)) (*.f64 4 (*.f64 (+.f64 y (*.f64 1/4 y)) (pow.f64 y 2)))) (pow.f64 x 3)))))) |
(*.f64 2 (/.f64 y x)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (*.f64 2 (/.f64 y x))) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (pow.f64 y 3)) (*.f64 -4 (*.f64 (+.f64 y (*.f64 1/4 y)) (pow.f64 y 2)))) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (*.f64 2 (/.f64 y x)))) |
(+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 y (*.f64 1/4 y)) (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y)))) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (pow.f64 y 3)) (*.f64 -4 (*.f64 (+.f64 y (*.f64 1/4 y)) (pow.f64 y 2)))) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (*.f64 2 (/.f64 y x))))) |
(*.f64 -2 (/.f64 y x)) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 x 3)))) |
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/4 x)) (pow.f64 x 4))))) (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 x 3))))) |
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/4 x)) (pow.f64 x 4))))) (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/4 x)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 -1 x) x))) (pow.f64 x 6))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 x 3)))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)))) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))))) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(*.f64 -1/2 (/.f64 x y)) |
(-.f64 (*.f64 -1/2 (/.f64 x y)) 1/2) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 x y)) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1/2 y)) x))) 1/2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (*.f64 -1/2 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 x y)) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1/2 y)) x)))) 1/2) |
(*.f64 -1/2 (/.f64 x y)) |
(-.f64 (*.f64 -1/2 (/.f64 x y)) 1/2) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 x y)) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1/2 y)) x))) 1/2) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (*.f64 -1/2 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 x y)) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1/2 y)) x)))) 1/2) |
(*.f64 -1/2 (/.f64 x y)) |
(-.f64 (*.f64 -1/2 (/.f64 x y)) 1/2) |
(-.f64 (+.f64 (*.f64 -3/2 (/.f64 y x)) (*.f64 -1/2 (/.f64 x y))) 1/2) |
(-.f64 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -3/2 (/.f64 y x)) (*.f64 -1/2 (/.f64 x y)))) 1/2) |
1 |
(+.f64 1 (/.f64 x y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 3)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
1 |
(+.f64 1 (/.f64 x y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 3)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
| Outputs |
|---|
1 |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 y (*.f64 -1 y)) x) (pow.f64 y 2))) 1) |
1 |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 y (*.f64 -1 y)) x) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(fma.f64 -1 (/.f64 (*.f64 0 y) (/.f64 (*.f64 y y) x)) (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) 1)) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 (/.f64 0 y) y)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 y (*.f64 -1 y)) x) (pow.f64 y 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (/.f64 (*.f64 (+.f64 y (*.f64 -1 y)) (pow.f64 x 3)) (pow.f64 y 4))))) |
(fma.f64 -1 (/.f64 (*.f64 0 y) (/.f64 (*.f64 y y) x)) (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) 1)) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 (/.f64 0 y) y)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(*.f64 -2 (/.f64 y x)) |
(/.f64 -2 (/.f64 x y)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (*.f64 -2 (/.f64 y x))) |
(*.f64 -2 (/.f64 y x)) |
(/.f64 -2 (/.f64 x y)) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (pow.f64 y 3)) (*.f64 4 (*.f64 (+.f64 y (*.f64 1/4 y)) (pow.f64 y 2)))) (pow.f64 x 3))))) |
(fma.f64 -2 (/.f64 y (/.f64 (*.f64 x x) (*.f64 0 y))) (fma.f64 -2 (/.f64 y x) (neg.f64 (/.f64 (-.f64 (*.f64 -2 (pow.f64 y 3)) (*.f64 (*.f64 4 (*.f64 5/4 y)) (*.f64 y y))) (pow.f64 x 3))))) |
(-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 0 (*.f64 x x))) (/.f64 (fma.f64 -2 (pow.f64 y 3) (*.f64 (*.f64 y y) (*.f64 -5 y))) (pow.f64 x 3))) |
(fma.f64 -2 (/.f64 y x) (/.f64 (fma.f64 2 (pow.f64 y 3) (*.f64 5 (pow.f64 y 3))) (pow.f64 x 3))) |
(+.f64 (*.f64 -2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (*.f64 4 (/.f64 (*.f64 (+.f64 y (*.f64 1/4 y)) (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y)))) (pow.f64 x 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (pow.f64 y 3)) (*.f64 4 (*.f64 (+.f64 y (*.f64 1/4 y)) (pow.f64 y 2)))) (pow.f64 x 3)))))) |
(fma.f64 -2 (/.f64 y (/.f64 (*.f64 x x) (*.f64 0 y))) (fma.f64 -2 (/.f64 y x) (neg.f64 (/.f64 (-.f64 (*.f64 -2 (pow.f64 y 3)) (*.f64 (*.f64 4 (*.f64 5/4 y)) (*.f64 y y))) (pow.f64 x 3))))) |
(-.f64 (fma.f64 -2 (/.f64 y x) (/.f64 0 (*.f64 x x))) (/.f64 (fma.f64 -2 (pow.f64 y 3) (*.f64 (*.f64 y y) (*.f64 -5 y))) (pow.f64 x 3))) |
(fma.f64 -2 (/.f64 y x) (/.f64 (fma.f64 2 (pow.f64 y 3) (*.f64 5 (pow.f64 y 3))) (pow.f64 x 3))) |
(*.f64 2 (/.f64 y x)) |
(+.f64 (*.f64 2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (*.f64 2 (/.f64 y x))) |
(*.f64 2 (/.f64 y x)) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (pow.f64 y 3)) (*.f64 -4 (*.f64 (+.f64 y (*.f64 1/4 y)) (pow.f64 y 2)))) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (*.f64 2 (/.f64 y x)))) |
(fma.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 y 3)) (*.f64 (*.f64 4 (*.f64 5/4 y)) (*.f64 y y))) (pow.f64 x 3)) (*.f64 2 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (*.f64 0 y))) (/.f64 y x)))) |
(-.f64 (fma.f64 2 (/.f64 y x) (/.f64 0 (*.f64 x x))) (/.f64 (fma.f64 2 (pow.f64 y 3) (*.f64 (*.f64 y y) (*.f64 5 y))) (pow.f64 x 3))) |
(fma.f64 2 (/.f64 y x) (/.f64 (fma.f64 -2 (pow.f64 y 3) (*.f64 -5 (pow.f64 y 3))) (pow.f64 x 3))) |
(+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 y (*.f64 1/4 y)) (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y)))) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (pow.f64 y 3)) (*.f64 -4 (*.f64 (+.f64 y (*.f64 1/4 y)) (pow.f64 y 2)))) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 y (+.f64 y (*.f64 -1 y))) (pow.f64 x 2))) (*.f64 2 (/.f64 y x))))) |
(fma.f64 -1 (/.f64 (+.f64 (*.f64 2 (pow.f64 y 3)) (*.f64 (*.f64 4 (*.f64 5/4 y)) (*.f64 y y))) (pow.f64 x 3)) (*.f64 2 (+.f64 (/.f64 y (/.f64 (*.f64 x x) (*.f64 0 y))) (/.f64 y x)))) |
(-.f64 (fma.f64 2 (/.f64 y x) (/.f64 0 (*.f64 x x))) (/.f64 (fma.f64 2 (pow.f64 y 3) (*.f64 (*.f64 y y) (*.f64 5 y))) (pow.f64 x 3))) |
(fma.f64 2 (/.f64 y x) (/.f64 (fma.f64 -2 (pow.f64 y 3) (*.f64 -5 (pow.f64 y 3))) (pow.f64 x 3))) |
(*.f64 -2 (/.f64 y x)) |
(/.f64 -2 (/.f64 x y)) |
(+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 x 3)))) |
(*.f64 -2 (/.f64 y x)) |
(/.f64 -2 (/.f64 x y)) |
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/4 x)) (pow.f64 x 4))))) (+.f64 (*.f64 -2 (/.f64 y x)) (*.f64 -2 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 x 3))))) |
(fma.f64 (pow.f64 y 3) (-.f64 (/.f64 2 (pow.f64 x 3)) (*.f64 4 (/.f64 (*.f64 x -5/4) (pow.f64 x 4)))) (*.f64 -2 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (*.f64 0 x)))))) |
(fma.f64 (pow.f64 y 3) (+.f64 (/.f64 2 (pow.f64 x 3)) (*.f64 -4 (/.f64 (*.f64 x -5/4) (pow.f64 x 4)))) (fma.f64 -2 (/.f64 y x) (/.f64 0 (pow.f64 x 3)))) |
(fma.f64 -2 (/.f64 y x) (*.f64 (pow.f64 y 3) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (*.f64 x 5) (pow.f64 x 4))))) |
(+.f64 (*.f64 (pow.f64 y 3) (-.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/4 x)) (pow.f64 x 4))))) (+.f64 (*.f64 -2 (/.f64 y x)) (+.f64 (*.f64 -4 (/.f64 (*.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/4 x)) (*.f64 (pow.f64 y 4) (+.f64 (*.f64 -1 x) x))) (pow.f64 x 6))) (*.f64 -2 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 x 3)))))) |
(fma.f64 (pow.f64 y 3) (-.f64 (/.f64 2 (pow.f64 x 3)) (*.f64 4 (/.f64 (*.f64 x -5/4) (pow.f64 x 4)))) (*.f64 -2 (+.f64 (/.f64 y x) (/.f64 (*.f64 y y) (/.f64 (pow.f64 x 3) (*.f64 0 x)))))) |
(fma.f64 (pow.f64 y 3) (+.f64 (/.f64 2 (pow.f64 x 3)) (*.f64 -4 (/.f64 (*.f64 x -5/4) (pow.f64 x 4)))) (fma.f64 -2 (/.f64 y x) (/.f64 0 (pow.f64 x 3)))) |
(fma.f64 -2 (/.f64 y x) (*.f64 (pow.f64 y 3) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 (*.f64 x 5) (pow.f64 x 4))))) |
1 |
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) |
1 |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)))) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(fma.f64 -1 (/.f64 (*.f64 0 y) (/.f64 (*.f64 y y) x)) (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) 1)) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 (/.f64 0 y) y)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))))) (/.f64 (pow.f64 x 2) (pow.f64 y 2))) |
(fma.f64 -1 (/.f64 (*.f64 0 y) (/.f64 (*.f64 y y) x)) (fma.f64 -2 (/.f64 (*.f64 x x) (*.f64 y y)) 1)) |
(+.f64 (fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) 1) (/.f64 (/.f64 0 y) y)) |
(fma.f64 -2 (*.f64 (/.f64 x y) (/.f64 x y)) 1) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
-1 |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (neg.f64 (/.f64 (*.f64 0 x) y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (/.f64 0 y) (-.f64 1 (*.f64 (/.f64 x y) (/.f64 x y))))) |
(+.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 2) -1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (neg.f64 (/.f64 (*.f64 0 x) y)) (fma.f64 -1 (/.f64 (*.f64 x x) (*.f64 y y)) 1))) |
(+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (-.f64 (/.f64 0 y) (-.f64 1 (*.f64 (/.f64 x y) (/.f64 x y))))) |
(+.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 2) -1) |
1 |
(+.f64 1 (/.f64 x y)) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 3/2))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3/2 (/.f64 x y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3/2 (+.f64 1 (/.f64 x y))) |
(+.f64 1 (+.f64 (/.f64 x y) (+.f64 (*.f64 3/2 (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (*.f64 3/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 3/2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 x x) (*.f64 y y)))))) |
(+.f64 1 (fma.f64 3/2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 (/.f64 x y) (fma.f64 3/2 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 3)) 1)) |
(*.f64 -1/2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -1/2) |
(/.f64 -1/2 (/.f64 y x)) |
(-.f64 (*.f64 -1/2 (/.f64 x y)) 1/2) |
(fma.f64 -1/2 (/.f64 x y) -1/2) |
(fma.f64 (/.f64 x y) -1/2 -1/2) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 x y)) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1/2 y)) x))) 1/2) |
(+.f64 (fma.f64 -1/2 (/.f64 x y) (neg.f64 (/.f64 (-.f64 y (*.f64 y -1/2)) x))) -1/2) |
(fma.f64 (/.f64 x y) -1/2 (fma.f64 -1 (/.f64 (*.f64 3/2 y) x) -1/2)) |
(fma.f64 (/.f64 y x) -3/2 (fma.f64 (/.f64 x y) -1/2 -1/2)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (*.f64 -1/2 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 x y)) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1/2 y)) x)))) 1/2) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 y (-.f64 y (*.f64 y -1/2))) (*.f64 x x)) (fma.f64 -1/2 (/.f64 x y) (neg.f64 (/.f64 (-.f64 y (*.f64 y -1/2)) x)))) -1/2) |
(+.f64 -1/2 (-.f64 (-.f64 (/.f64 -1/2 (/.f64 y x)) (/.f64 (*.f64 3/2 y) x)) (*.f64 (/.f64 y x) (/.f64 (*.f64 3/2 y) x)))) |
(fma.f64 -3/2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (fma.f64 (/.f64 x y) -1/2 -1/2)) |
(*.f64 -1/2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -1/2) |
(/.f64 -1/2 (/.f64 y x)) |
(-.f64 (*.f64 -1/2 (/.f64 x y)) 1/2) |
(fma.f64 -1/2 (/.f64 x y) -1/2) |
(fma.f64 (/.f64 x y) -1/2 -1/2) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 x y)) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1/2 y)) x))) 1/2) |
(+.f64 (fma.f64 -1/2 (/.f64 x y) (neg.f64 (/.f64 (-.f64 y (*.f64 y -1/2)) x))) -1/2) |
(fma.f64 (/.f64 x y) -1/2 (fma.f64 -1 (/.f64 (*.f64 3/2 y) x) -1/2)) |
(fma.f64 (/.f64 y x) -3/2 (fma.f64 (/.f64 x y) -1/2 -1/2)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 y (-.f64 y (*.f64 -1/2 y))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 x y)) (*.f64 -1 (/.f64 (-.f64 y (*.f64 -1/2 y)) x)))) 1/2) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 y (-.f64 y (*.f64 y -1/2))) (*.f64 x x)) (fma.f64 -1/2 (/.f64 x y) (neg.f64 (/.f64 (-.f64 y (*.f64 y -1/2)) x)))) -1/2) |
(+.f64 -1/2 (-.f64 (-.f64 (/.f64 -1/2 (/.f64 y x)) (/.f64 (*.f64 3/2 y) x)) (*.f64 (/.f64 y x) (/.f64 (*.f64 3/2 y) x)))) |
(fma.f64 -3/2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (fma.f64 (/.f64 x y) -1/2 -1/2)) |
(*.f64 -1/2 (/.f64 x y)) |
(*.f64 (/.f64 x y) -1/2) |
(/.f64 -1/2 (/.f64 y x)) |
(-.f64 (*.f64 -1/2 (/.f64 x y)) 1/2) |
(fma.f64 -1/2 (/.f64 x y) -1/2) |
(fma.f64 (/.f64 x y) -1/2 -1/2) |
(-.f64 (+.f64 (*.f64 -3/2 (/.f64 y x)) (*.f64 -1/2 (/.f64 x y))) 1/2) |
(+.f64 (fma.f64 -1/2 (/.f64 x y) (neg.f64 (/.f64 (-.f64 y (*.f64 y -1/2)) x))) -1/2) |
(fma.f64 (/.f64 x y) -1/2 (fma.f64 -1 (/.f64 (*.f64 3/2 y) x) -1/2)) |
(fma.f64 (/.f64 y x) -3/2 (fma.f64 (/.f64 x y) -1/2 -1/2)) |
(-.f64 (+.f64 (*.f64 -3/2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 -3/2 (/.f64 y x)) (*.f64 -1/2 (/.f64 x y)))) 1/2) |
(+.f64 (fma.f64 -1 (/.f64 (*.f64 y (-.f64 y (*.f64 y -1/2))) (*.f64 x x)) (fma.f64 -1/2 (/.f64 x y) (neg.f64 (/.f64 (-.f64 y (*.f64 y -1/2)) x)))) -1/2) |
(+.f64 -1/2 (-.f64 (-.f64 (/.f64 -1/2 (/.f64 y x)) (/.f64 (*.f64 3/2 y) x)) (*.f64 (/.f64 y x) (/.f64 (*.f64 3/2 y) x)))) |
(fma.f64 -3/2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) (fma.f64 (/.f64 x y) -1/2 -1/2)) |
1 |
(+.f64 1 (/.f64 x y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 3/2))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3/2 (/.f64 x y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3/2 (+.f64 1 (/.f64 x y))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 3)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 3/2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 x x) (*.f64 y y)))))) |
(+.f64 1 (fma.f64 3/2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 (/.f64 x y) (fma.f64 3/2 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 3)) 1)) |
1 |
(+.f64 1 (/.f64 x y)) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) 3/2))) |
(+.f64 1 (fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3/2 (/.f64 x y))) |
(fma.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 3/2 (+.f64 1 (/.f64 x y))) |
(-.f64 (+.f64 1 (+.f64 (/.f64 x y) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 2))) x) (pow.f64 y 3)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))))) (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2)))) |
(+.f64 1 (+.f64 (/.f64 x y) (*.f64 3/2 (+.f64 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (*.f64 x x) (*.f64 y y)))))) |
(+.f64 1 (fma.f64 3/2 (+.f64 (*.f64 (/.f64 x y) (/.f64 x y)) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 x y))) |
(+.f64 (/.f64 x y) (fma.f64 3/2 (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 3)) 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 1 (hypot.f64 x y)) |
| 0.0b | (/.f64 (-.f64 x y) (hypot.f64 x y)) | |
| ✓ | 0.0b | (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y))) |
| ✓ | 0.2b | (*.f64 (+.f64 x y) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))) |
Compiled 56 to 16 computations (71.4% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/.f64 1 (hypot.f64 x y)) |
| 1.0ms | y | @ | inf | (/.f64 1 (hypot.f64 x y)) |
| 1.0ms | x | @ | 0 | (/.f64 1 (hypot.f64 x y)) |
| 1.0ms | y | @ | 0 | (/.f64 1 (hypot.f64 x y)) |
| 1.0ms | y | @ | -inf | (/.f64 1 (hypot.f64 x y)) |
| 1× | batch-egg-rewrite |
| 796× | prod-diff_binary64 |
| 668× | log-prod_binary64 |
| 294× | fma-def_binary64 |
| 238× | log-div_binary64 |
| 218× | expm1-udef_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 1 | 247 | 39 |
| 2 | 3749 | 39 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))) |
(*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y))) |
(/.f64 1 (hypot.f64 x y)) |
| Outputs |
|---|
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((x pow.f64 (*.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 x y)) (hypot.f64 x y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3) (pow.f64 (hypot.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (hypot.f64 x y)) 3) (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) 3) (pow.f64 (/.f64 1 (hypot.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) -2))) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (hypot.f64 x y)))) (cbrt.f64 (exp.f64 (/.f64 1 (hypot.f64 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (hypot.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (hypot.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (hypot.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (hypot.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (hypot.f64 x y))) (cbrt.f64 (pow.f64 (hypot.f64 x y) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) -2)) (cbrt.f64 (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x y) -1/2) (pow.f64 (hypot.f64 x y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) 2) -1) (pow.f64 (cbrt.f64 (hypot.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 x y)) -1) (pow.f64 (sqrt.f64 (hypot.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (hypot.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x y) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (hypot.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (hypot.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x y) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (hypot.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (hypot.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (hypot.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 x y))) 1)))))) |
| 1× | egg-herbie |
| 685× | associate-/l*_binary64 |
| 540× | associate-/r*_binary64 |
| 490× | associate-*r*_binary64 |
| 445× | associate-*l*_binary64 |
| 234× | associate-*l/_binary64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 211 | 1743 |
| 1 | 679 | 1596 |
| 2 | 2510 | 1466 |
| 1× | node limit |
| Inputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2)))))) |
(+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 y x)) (*.f64 -1 (/.f64 (-.f64 (pow.f64 y 2) (*.f64 -1 (pow.f64 y 2))) (pow.f64 x 2))))))) |
1 |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))))) |
(+.f64 1 (+.f64 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 y 4) (pow.f64 x 4))) (*.f64 -2 (/.f64 (pow.f64 y 6) (pow.f64 x 6)))))) |
-1 |
(-.f64 (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y))) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (*.f64 -1 (/.f64 x y)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (/.f64 x y) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3))) (*.f64 -1 (/.f64 x y))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
-1 |
(-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) 1) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 x) x) y)) (/.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 x) x)) (pow.f64 y 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1)) |
(/.f64 -1 y) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(/.f64 1 x) |
(+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2))))) |
(+.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 -1 (/.f64 y (pow.f64 x 2)))))) |
(/.f64 -1 y) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(/.f64 -1 y) |
(-.f64 (/.f64 x (pow.f64 y 2)) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (/.f64 x (pow.f64 y 2))) (/.f64 1 y)) |
(-.f64 (+.f64 (/.f64 (pow.f64 x 2) (pow.f64 y 3)) (+.f64 (/.f64 x (pow.f64 y 2)) (*.f64 -1 (/.f64 (pow.f64 x 3) (pow.f64 y 4))))) (/.f64 1 y)) |
(/.f64 1 y) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (/.f64 1 y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (*.f64 3/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5))) (*.f64 -5/16 (/.f64 (pow.f64 x 6) (pow.f64 y 7)))))) |
(/.f64 1 x) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 -1/4 (pow.f64 y 4))) (pow.f64 x 5))) (/.f64 1 x))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 -1/4 (pow.f64 y 4))) (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 y 6)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 -1/4 (pow.f64 y 4))) (pow.f64 y 2)))) (pow.f64 x 7))) (/.f64 1 x)))) |
(/.f64 -1 x) |
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 -1/4 (pow.f64 y 4))) (pow.f64 y 2)) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 y 6) (pow.f64 x 7))))))) (/.f64 1 x)) |
(/.f64 1 x) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (/.f64 1 x))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 -5/16 (/.f64 (pow.f64 y 6) (pow.f64 x 7))) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (/.f64 1 x)))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (/.f64 1 y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 y 5))))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 y 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 6)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 x 2)))) (pow.f64 y 7)))))) |
(/.f64 -1 y) |
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5))))) (/.f64 1 y)) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 6) (pow.f64 y 7))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5))))))) (/.f64 1 y)) |
| Outputs |
|---|
-1 |
(-.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) 1) |
(fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) -1) |
(fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) -1) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) 1) |
(+.f64 (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))) -1) |
(fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)) |
(fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6))) (+.f64 (*.f64 2 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) 1) |
(+.f64 (fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))) -1) |
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (*.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))) |
(fma.f64 2 (/.f64 (pow.f64 x 6) (pow.f64 y 6)) (fma.f64 2 (/.f64 x (/.f64 (*.f64 y y) x)) (fma.f64 -2 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) -1))) |
1 |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(+.f64 (/.f64 y x) (+.f64 1 (/.f64 (neg.f64 y) x))) |
(+.f64 (/.f64 y x) (-.f64 1 (/.f64 y x))) |
(+.f64 1 (*.f64 0 (/.f64 y x))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y x)))) (/.f64 (*.f64 y y) (*.f64 x x)))) |
(+.f64 (/.f64 y x) (-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 y x) (/.f64 y x))) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y x)))) |
(+.f64 1 (-.f64 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 0 (/.f64 y x)))) |
(-.f64 (+.f64 (/.f64 y x) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 y 2) (+.f64 y (*.f64 -1 y))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (*.f64 -1 (/.f64 y x)))))) (/.f64 (pow.f64 y 2) (pow.f64 x 2))) |
(+.f64 (/.f64 y x) (-.f64 (+.f64 1 (*.f64 -1 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) (/.f64 y x)))) (/.f64 (*.f64 y y) (*.f64 x x)))) |
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(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 -1/4 (pow.f64 y 4))) (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 y 6)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 -1/4 (pow.f64 y 4))) (pow.f64 y 2)))) (pow.f64 x 7))) (/.f64 1 x)))) |
(fma.f64 -1/2 (/.f64 (*.f64 y y) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 y 4) -3/8) (pow.f64 x 5)) (fma.f64 -1 (/.f64 (fma.f64 1/8 (pow.f64 y 6) (*.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 (pow.f64 y 4) -3/8)))) (pow.f64 x 7)) (/.f64 1 x)))) |
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) -1/2 (-.f64 (-.f64 (/.f64 1 x) (/.f64 (fma.f64 (pow.f64 y 6) 1/8 (*.f64 -1/2 (*.f64 (pow.f64 y 6) -3/8))) (pow.f64 x 7))) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 5) -3/8)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) -1/2 (fma.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5)) (/.f64 1 x))) (/.f64 (fma.f64 (pow.f64 y 6) 1/8 (*.f64 (pow.f64 y 6) 3/16)) (pow.f64 x 7))) |
(/.f64 -1 x) |
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)) |
(-.f64 (/.f64 (*.f64 1/2 (*.f64 y y)) (pow.f64 x 3)) (/.f64 1 x)) |
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) 1/2 (/.f64 -1 x)) |
(-.f64 (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))))) (/.f64 1 x)) |
(-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5)) (fma.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 5)) (/.f64 (*.f64 1/2 (*.f64 y y)) (pow.f64 x 3)))) (/.f64 1 x)) |
(+.f64 (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 5)) -3/8) (fma.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) 1/2 (/.f64 -1 x))) |
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 4)) (*.f64 -1/4 (pow.f64 y 4))) (pow.f64 y 2)) (pow.f64 x 7))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 1/8 (/.f64 (pow.f64 y 6) (pow.f64 x 7))))))) (/.f64 1 x)) |
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 y 4) (pow.f64 x 5)) (fma.f64 -1/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 y y) (*.f64 (pow.f64 y 4) -3/8)) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 (*.f64 y y) (pow.f64 x 3)) (*.f64 1/8 (/.f64 (pow.f64 y 6) (pow.f64 x 7))))))) (/.f64 1 x)) |
(+.f64 (/.f64 -1 x) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 6) -3/8) (pow.f64 x 7)) (fma.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) 1/2 (/.f64 1/8 (/.f64 (pow.f64 x 7) (pow.f64 y 6))))) (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 5)) -3/8))) |
(+.f64 (/.f64 -1 x) (+.f64 (*.f64 (/.f64 (pow.f64 y 4) (pow.f64 x 5)) -3/8) (+.f64 (/.f64 (*.f64 (pow.f64 y 6) 3/16) (pow.f64 x 7)) (fma.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) 1/2 (/.f64 (pow.f64 y 6) (/.f64 (pow.f64 x 7) 1/8)))))) |
(/.f64 1 x) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (/.f64 1 x)) |
(fma.f64 -1/2 (/.f64 (*.f64 y y) (pow.f64 x 3)) (/.f64 1 x)) |
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) -1/2 (/.f64 1 x)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (/.f64 1 x))) |
(fma.f64 -1/2 (/.f64 (*.f64 y y) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 y 4) -3/8) (pow.f64 x 5)) (/.f64 1 x))) |
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) -1/2 (-.f64 (/.f64 1 x) (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 x 5) -3/8)))) |
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) -1/2 (fma.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5)) (/.f64 1 x))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (*.f64 -5/16 (/.f64 (pow.f64 y 6) (pow.f64 x 7))) (+.f64 (*.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5))) (/.f64 1 x)))) |
(fma.f64 -1/2 (/.f64 (*.f64 y y) (pow.f64 x 3)) (fma.f64 -5/16 (/.f64 (pow.f64 y 6) (pow.f64 x 7)) (fma.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5)) (/.f64 1 x)))) |
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 x 3)) -1/2 (fma.f64 -5/16 (/.f64 (pow.f64 y 6) (pow.f64 x 7)) (fma.f64 3/8 (/.f64 (pow.f64 y 4) (pow.f64 x 5)) (/.f64 1 x)))) |
(/.f64 1 y) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (/.f64 1 y)) |
(fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) |
(fma.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) -1/2 (/.f64 1 y)) |
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) -1/2 (/.f64 1 y)) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 y 5))))) |
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (*.f64 3/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5)))) |
(fma.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) -1/2 (fma.f64 3/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) (/.f64 1 y))) |
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) -1/2 (fma.f64 3/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) (/.f64 1 y))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (+.f64 (/.f64 1 y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 y 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 6)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 x 2)))) (pow.f64 y 7)))))) |
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 x x) (pow.f64 y 3)) (/.f64 1 y)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 x 4) -3/8) (pow.f64 y 5)) (neg.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 6) (*.f64 -1/2 (*.f64 (*.f64 x x) (*.f64 (pow.f64 x 4) -3/8)))) (pow.f64 y 7))))) |
(fma.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) -1/2 (-.f64 (-.f64 (/.f64 1 y) (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 5) -3/8))) (/.f64 (fma.f64 (pow.f64 x 6) 1/8 (*.f64 -1/2 (*.f64 (pow.f64 x 6) -3/8))) (pow.f64 y 7)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) -1/2 (fma.f64 3/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) (/.f64 1 y))) (/.f64 (fma.f64 (pow.f64 x 6) 1/8 (*.f64 (pow.f64 x 6) 3/16)) (pow.f64 y 7))) |
(/.f64 -1 y) |
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (/.f64 1 y)) |
(-.f64 (*.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) 1/2) (/.f64 1 y)) |
(fma.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) 1/2 (/.f64 -1 y)) |
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) 1/2 (/.f64 -1 y)) |
(-.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 5))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5))))) (/.f64 1 y)) |
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) (fma.f64 1/2 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) -1/8))) (/.f64 1 y)) |
(+.f64 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) -1/4 (fma.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) 1/2 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 5) -1/8)))) (/.f64 -1 y)) |
(+.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) -3/8) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) 1/2 (/.f64 -1 y))) |
(-.f64 (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 6) (pow.f64 y 7))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 5))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (*.f64 -1/4 (pow.f64 x 4))) (pow.f64 x 2)) (pow.f64 y 7))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 y 3))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 y 5))))))) (/.f64 1 y)) |
(-.f64 (fma.f64 1/8 (/.f64 (pow.f64 x 6) (pow.f64 y 7)) (fma.f64 -1/4 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 4) -3/8) (/.f64 (pow.f64 y 7) (*.f64 x x))) (fma.f64 1/2 (/.f64 (*.f64 x x) (pow.f64 y 3)) (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) -1/8))))) (/.f64 1 y)) |
(+.f64 (fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 7)) 1/8 (fma.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) -1/4 (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 x 6) -3/8) (pow.f64 y 7)) (fma.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) 1/2 (/.f64 (pow.f64 x 4) (/.f64 (pow.f64 y 5) -1/8)))))) (/.f64 -1 y)) |
(fma.f64 (/.f64 (pow.f64 x 6) (pow.f64 y 7)) 1/8 (+.f64 (/.f64 (*.f64 (pow.f64 x 6) 3/16) (pow.f64 y 7)) (+.f64 (*.f64 (/.f64 (pow.f64 x 4) (pow.f64 y 5)) -3/8) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 y 3)) 1/2 (/.f64 -1 y))))) |
Compiled 32184 to 11993 computations (62.7% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1153 | 7 | 1160 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 5 | 8 |
| Total | 1159 | 12 | 1171 |
| Status | Error | Program |
|---|---|---|
| 30.4b | (/.f64 (+.f64 x y) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (/.f64 (hypot.f64 x y) (-.f64 x y)))) | |
| ✓ | 30.4b | (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (-.f64 x y))) |
| ✓ | 0.0b | (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
| 40.8b | 1 | |
| 30.4b | (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (-.f64 (*.f64 -1/2 (/.f64 (*.f64 x (/.f64 x y)) (-.f64 x y))) (/.f64 y (-.f64 x y)))) | |
| 23.3b | -1 | |
| 0.2b | (*.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (hypot.f64 x y))) | |
| ✓ | 18.5b | (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
| ✓ | 40.2b | (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
| ✓ | 0.0b | (/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))) |
| 22.4b | (+.f64 (*.f64 2 (-.f64 (+.f64 1 (pow.f64 (/.f64 y x) -2)) 1)) -1) | |
| 22.4b | (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
Compiled 188 to 109 computations (42% saved)
| Inputs |
|---|
1 |
-1 |
-1 |
1 |
-1 |
1 |
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
(/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
(+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
(*.f64 (/.f64 (-.f64 x y) y) (/.f64 (+.f64 x y) y)) |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1) |
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 y 2)) |
(+.f64 (*.f64 2 (-.f64 (+.f64 1 (pow.f64 (/.f64 y x) -2)) 1)) -1) |
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (+.f64 x y) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (/.f64 (hypot.f64 x y) (-.f64 x y)))) |
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (-.f64 x y))) |
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y))) |
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (-.f64 (*.f64 -1/2 (/.f64 (*.f64 x (/.f64 x y)) (-.f64 x y))) (/.f64 y (-.f64 x y)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(*.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (hypot.f64 x y))) |
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))) |
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))) |
(*.f64 (+.f64 x y) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))) |
(*.f64 (-.f64 x y) (*.f64 (/.f64 1 (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))) |
(*.f64 (-.f64 x y) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) 2)) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
4 calls:
| 30.0ms | y |
| 29.0ms | x |
| 8.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 7.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 0.0b | 1 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 408 to 145 computations (64.5% saved)
| Inputs |
|---|
1 |
-1 |
-1 |
1 |
-1 |
1 |
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
(/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
(+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
(*.f64 (/.f64 (-.f64 x y) y) (/.f64 (+.f64 x y) y)) |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1) |
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 y 2)) |
(+.f64 (*.f64 2 (-.f64 (+.f64 1 (pow.f64 (/.f64 y x) -2)) 1)) -1) |
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (+.f64 x y) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (/.f64 (hypot.f64 x y) (-.f64 x y)))) |
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (-.f64 x y))) |
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y))) |
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (-.f64 (*.f64 -1/2 (/.f64 (*.f64 x (/.f64 x y)) (-.f64 x y))) (/.f64 y (-.f64 x y)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
(*.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (hypot.f64 x y))) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (hypot.f64 x y))) |
4 calls:
| 51.0ms | y |
| 25.0ms | x |
| 8.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 7.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| Error | Segments | Branch |
|---|---|---|
| 0.2b | 1 | x |
| 0.2b | 1 | y |
| 0.2b | 1 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 0.2b | 1 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 315 to 128 computations (59.4% saved)
| Inputs |
|---|
1 |
-1 |
-1 |
1 |
-1 |
1 |
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
(/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
(+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
(*.f64 (/.f64 (-.f64 x y) y) (/.f64 (+.f64 x y) y)) |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1) |
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 y 2)) |
(+.f64 (*.f64 2 (-.f64 (+.f64 1 (pow.f64 (/.f64 y x) -2)) 1)) -1) |
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (+.f64 x y) (*.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (/.f64 (hypot.f64 x y) (-.f64 x y)))) |
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y) (-.f64 x y))) |
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 y x))) y))) |
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (-.f64 (*.f64 -1/2 (/.f64 (*.f64 x (/.f64 x y)) (-.f64 x y))) (/.f64 y (-.f64 x y)))) |
(+.f64 1 (*.f64 -2 (/.f64 (pow.f64 y 2) (pow.f64 x 2)))) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (*.f64 2 (-.f64 (+.f64 1 (pow.f64 (/.f64 y x) -2)) 1)) -1) |
4 calls:
| 252.0ms | y |
| 46.0ms | x |
| 11.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 10.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| Error | Segments | Branch |
|---|---|---|
| 9.2b | 2 | x |
| 3.7b | 7 | y |
| 2.9b | 2 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 2.9b | 2 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 300 to 126 computations (58% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | NaN |
Compiled 22 to 13 computations (40.9% saved)
| Inputs |
|---|
1 |
-1 |
-1 |
1 |
-1 |
1 |
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
(/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
(+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
(*.f64 (/.f64 (-.f64 x y) y) (/.f64 (+.f64 x y) y)) |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (*.f64 2 (pow.f64 (/.f64 y x) -2)) -1) |
(fma.f64 (/.f64 2 y) (/.f64 x (/.f64 y x)) -1) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (pow.f64 y 2)) |
| Outputs |
|---|
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
4 calls:
| 169.0ms | y |
| 37.0ms | x |
| 35.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 9.0ms | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| Error | Segments | Branch |
|---|---|---|
| 9.2b | 2 | x |
| 3.7b | 7 | y |
| 2.9b | 2 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
| 2.9b | 2 | (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) |
Compiled 174 to 78 computations (55.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | NaN |
Compiled 22 to 13 computations (40.9% saved)
| Inputs |
|---|
1 |
-1 |
-1 |
1 |
-1 |
1 |
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
(/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
(+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
(*.f64 (/.f64 (-.f64 x y) y) (/.f64 (+.f64 x y) y)) |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
| Outputs |
|---|
-1 |
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
(/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
(+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
(+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) |
2 calls:
| 103.0ms | y |
| 31.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 9.2b | 2 | x |
| 3.8b | 7 | y |
Compiled 95 to 44 computations (53.7% saved)
| 6× | binary-search |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 5.0432457117699704e-141 | 7.977545766529931e-140 |
| 28.0ms | -1.1501473155494471e-244 | -8.239770047563684e-246 |
| 21.0ms | -3.5773975902606055e-236 | -9.756181688017296e-238 |
| 22.0ms | -5.208182775869543e-210 | -2.846750037899296e-210 |
| 22.0ms | -6.912635693132585e-186 | -6.080096386754083e-190 |
| 35.0ms | -7.224230589813143e-24 | -6.327409112535658e-27 |
Compiled 22 to 13 computations (40.9% saved)
| Inputs |
|---|
1 |
-1 |
-1 |
1 |
-1 |
1 |
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
(/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
(+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
(*.f64 (/.f64 (-.f64 x y) y) (/.f64 (+.f64 x y) y)) |
(+.f64 (/.f64 y x) (+.f64 1 (*.f64 -1 (/.f64 y x)))) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
(+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
(/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
(+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
2 calls:
| 85.0ms | y |
| 35.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.5b | 4 | x |
| 9.5b | 5 | y |
Compiled 80 to 40 computations (50% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 2.0451869875353209e-128 | 2.642724879082986e-122 |
| 22.0ms | -2.7514879357174125e-128 | -5.852759238145744e-131 |
| 21.0ms | -1.7046811496283202e-99 | -3.701155935692018e-101 |
| 22.0ms | -4.948842715265956e-80 | -3.5165196992869834e-82 |
Compiled 22 to 13 computations (40.9% saved)
| Inputs |
|---|
1 |
-1 |
-1 |
1 |
-1 |
1 |
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
(/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
1 |
(/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
1 |
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)) |
2 calls:
| 56.0ms | y |
| 24.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.6b | 4 | x |
| 9.9b | 5 | y |
Compiled 47 to 27 computations (42.6% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 2.0451869875353209e-128 | 2.642724879082986e-122 |
| 22.0ms | -2.7514879357174125e-128 | -5.852759238145744e-131 |
| 22.0ms | -1.7046811496283202e-99 | -3.701155935692018e-101 |
| 22.0ms | -4.948842715265956e-80 | -3.5165196992869834e-82 |
Compiled 22 to 13 computations (40.9% saved)
| Inputs |
|---|
1 |
-1 |
-1 |
1 |
-1 |
1 |
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
(/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
1 |
(/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
1 |
(/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) |
2 calls:
| 29.0ms | y |
| 19.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.6b | 4 | x |
| 9.9b | 5 | y |
Compiled 36 to 24 computations (33.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 2.0451869875353209e-128 | 2.642724879082986e-122 |
| 21.0ms | -2.7514879357174125e-128 | -5.852759238145744e-131 |
| 23.0ms | -1.7046811496283202e-99 | -3.701155935692018e-101 |
| 21.0ms | -4.948842715265956e-80 | -3.5165196992869834e-82 |
Compiled 22 to 13 computations (40.9% saved)
| Inputs |
|---|
1 |
-1 |
-1 |
1 |
-1 |
1 |
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
1 |
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
1 |
(+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) |
2 calls:
| 27.0ms | y |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.6b | 4 | x |
| 9.9b | 5 | y |
Compiled 25 to 19 computations (24% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 2.0451869875353209e-128 | 2.642724879082986e-122 |
| 21.0ms | -2.7514879357174125e-128 | -5.852759238145744e-131 |
| 21.0ms | -1.7046811496283202e-99 | -3.701155935692018e-101 |
| 21.0ms | -4.948842715265956e-80 | -3.5165196992869834e-82 |
Compiled 22 to 13 computations (40.9% saved)
Total -52.8b remaining (-515.4%)
Threshold costs -52.8b (-515.4%)
| Inputs |
|---|
1 |
-1 |
-1 |
1 |
-1 |
1 |
| Outputs |
|---|
-1 |
1 |
-1 |
1 |
-1 |
2 calls:
| 27.0ms | y |
| 18.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 15.3b | 4 | x |
| 10.2b | 5 | y |
Compiled 14 to 12 computations (14.3% saved)
| 4× | binary-search |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 2.0451869875353209e-128 | 2.642724879082986e-122 |
| 28.0ms | -2.7514879357174125e-128 | -5.852759238145744e-131 |
| 24.0ms | -1.7046811496283202e-99 | -3.701155935692018e-101 |
| 22.0ms | -4.948842715265956e-80 | -3.5165196992869834e-82 |
Compiled 22 to 13 computations (40.9% saved)
| 1× | egg-herbie |
| 9× | +-commutative_binary64 |
| 7× | *-commutative_binary64 |
| 3× | sub-neg_binary64 |
| 1× | neg-sub0_binary64 |
| 1× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 678 |
| 1 | 109 | 678 |
| 2 | 113 | 678 |
| 3 | 115 | 678 |
| 4 | 116 | 678 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
(*.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (hypot.f64 x y))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) 2) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (*.f64 2 (-.f64 (+.f64 1 (pow.f64 (/.f64 y x) -2)) 1)) -1)) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) 2) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1)) |
(if (<=.f64 y -4916556568568527/680564733841876926926749214863536422912) -1 (if (<=.f64 y -1058256113429421/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) (if (<=.f64 y -7711217868372339/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) (if (<=.f64 y -8196219669252587/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368) (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) (if (<=.f64 y -3536793733976893/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904) (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) (if (<=.f64 y 2163803835101389/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))))))))) |
(if (<=.f64 y -1651666231659331/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) (if (<=.f64 y -2098995538141623/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) (if (<=.f64 y -5368408421586109/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) (if (<=.f64 y 7980699391829399/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)))))) |
(if (<=.f64 y -1651666231659331/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) (if (<=.f64 y -2098995538141623/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) 1 (if (<=.f64 y -5368408421586109/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) (if (<=.f64 y 7980699391829399/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) 1 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)))))) |
(if (<=.f64 y -1651666231659331/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) (if (<=.f64 y -2098995538141623/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) 1 (if (<=.f64 y -5368408421586109/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) (if (<=.f64 y 7980699391829399/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) 1 (/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)))))) |
(if (<=.f64 y -1651666231659331/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) (if (<=.f64 y -2098995538141623/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) 1 (if (<=.f64 y -5368408421586109/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) (if (<=.f64 y 7980699391829399/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) 1 (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1))))) |
(if (<=.f64 y -1651666231659331/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) -1 (if (<=.f64 y -2098995538141623/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) 1 (if (<=.f64 y -5368408421586109/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) -1 (if (<=.f64 y 7980699391829399/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) 1 -1)))) |
1 |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))) |
(*.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (hypot.f64 x y))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) 2) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (*.f64 2 (-.f64 (+.f64 1 (pow.f64 (/.f64 y x) -2)) 1)) -1)) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) 2) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (*.f64 2 (+.f64 (+.f64 1 (pow.f64 (/.f64 y x) -2)) -1)) -1)) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) 2) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1)) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) 2) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y))) (+.f64 -1 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)))) |
(if (<=.f64 y -4916556568568527/680564733841876926926749214863536422912) -1 (if (<=.f64 y -1058256113429421/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))) (if (<=.f64 y -7711217868372339/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) (if (<=.f64 y -8196219669252587/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368) (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) (if (<=.f64 y -3536793733976893/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904) (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) (if (<=.f64 y 2163803835101389/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 y y) (*.f64 x x)))))))))) |
(if (<=.f64 y -4916556568568527/680564733841876926926749214863536422912) -1 (if (<=.f64 y -1058256113429421/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232) (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y y)))) (if (<=.f64 y -7711217868372339/1480596630383213935040454376661779933220754639736839877261211431528140022932412039118650826290747144651878100106364319997951107067217649833149230265656644000248389221211290269422784124023054547143233298486439198256390425542656) (/.f64 (+.f64 x y) (*.f64 y (/.f64 y (-.f64 x y)))) (if (<=.f64 y -8196219669252587/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368) (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) (if (<=.f64 y -3536793733976893/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904) (+.f64 -1 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x))) (if (<=.f64 y 2163803835101389/429049853758163107186368799942587076079339706258956588087153966199096448962353503257659977541340909686081019461967553627320124249982290238285876768194691072) (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) (*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y y)))))))))) |
(if (<=.f64 y -1651666231659331/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) (if (<=.f64 y -2098995538141623/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) (if (<=.f64 y -5368408421586109/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) (if (<=.f64 y 7980699391829399/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)))))) |
(if (<=.f64 y -1651666231659331/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (+.f64 -1 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x))) (if (<=.f64 y -2098995538141623/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) (if (<=.f64 y -5368408421586109/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (/.f64 (+.f64 x y) (*.f64 y (/.f64 y (-.f64 x y)))) (if (<=.f64 y 7980699391829399/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) (+.f64 1 (*.f64 -2 (*.f64 (/.f64 y x) (/.f64 y x)))) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 y y)))))) |
(if (<=.f64 y -1651666231659331/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) (if (<=.f64 y -2098995538141623/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) 1 (if (<=.f64 y -5368408421586109/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) (if (<=.f64 y 7980699391829399/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) 1 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 y y)))))) |
(if (<=.f64 y -1651666231659331/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (+.f64 -1 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x))) (if (<=.f64 y -2098995538141623/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) 1 (if (<=.f64 y -5368408421586109/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (/.f64 (+.f64 x y) (*.f64 y (/.f64 y (-.f64 x y)))) (if (<=.f64 y 7980699391829399/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) 1 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 y y)))))) |
(if (<=.f64 y -1651666231659331/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) (if (<=.f64 y -2098995538141623/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) 1 (if (<=.f64 y -5368408421586109/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)) (if (<=.f64 y 7980699391829399/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) 1 (/.f64 (+.f64 x y) (*.f64 (/.f64 y (-.f64 x y)) y)))))) |
(if (<=.f64 y -1651666231659331/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (+.f64 -1 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x))) (if (<=.f64 y -2098995538141623/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) 1 (if (<=.f64 y -5368408421586109/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (/.f64 (+.f64 x y) (*.f64 y (/.f64 y (-.f64 x y)))) (if (<=.f64 y 7980699391829399/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) 1 (/.f64 (+.f64 x y) (*.f64 y (/.f64 y (-.f64 x y)))))))) |
(if (<=.f64 y -1651666231659331/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) (if (<=.f64 y -2098995538141623/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) 1 (if (<=.f64 y -5368408421586109/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1) (if (<=.f64 y 7980699391829399/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) 1 (+.f64 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x)) -1))))) |
(if (<=.f64 y -1651666231659331/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (+.f64 -1 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x))) (if (<=.f64 y -2098995538141623/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) 1 (if (<=.f64 y -5368408421586109/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (+.f64 -1 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x))) (if (<=.f64 y 7980699391829399/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) 1 (+.f64 -1 (/.f64 (/.f64 2 y) (/.f64 (/.f64 y x) x))))))) |
(if (<=.f64 y -1651666231659331/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) -1 (if (<=.f64 y -2098995538141623/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088) 1 (if (<=.f64 y -5368408421586109/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) -1 (if (<=.f64 y 7980699391829399/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272) 1 -1)))) |
1 |
Compiled 487 to 257 computations (47.2% saved)
Compiled 467 to 188 computations (59.7% saved)
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