Time bar (total: 1.6s)
| 1× | search |
| True | Other | False | Iter |
|---|---|---|---|
| 0% | 99.9% | 0.1% | 0 |
| 0% | 99.9% | 0.1% | 1 |
| 0% | 99.9% | 0.1% | 2 |
| 0% | 99.9% | 0.1% | 3 |
| 0% | 87.4% | 12.6% | 4 |
| 6.2% | 74.9% | 18.8% | 5 |
| 12.5% | 59.3% | 28.2% | 6 |
| 23.4% | 43.7% | 32.9% | 7 |
| 28.1% | 33.6% | 38.3% | 8 |
| 35.5% | 23.4% | 41.1% | 9 |
| 38.2% | 17.8% | 44% | 10 |
| 42.4% | 12.1% | 45.5% | 11 |
| 43.9% | 9.1% | 47% | 12 |
Compiled 7 to 5 computations (28.6% saved)
| 899.0ms | 8256× | body | 256 | valid |
| 44.0ms | 471× | body | 256 | invalid |
| 2× | egg-herbie |
| 1× | swap-x-y |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 12 |
| 1 | 7 | 12 |
| 0 | 2 | 2 |
| 1 | 2 | 2 |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
0 |
| Inputs |
|---|
(sqrt.f64 (+.f64 x y)) |
(sqrt.f64 (+.f64 y x)) |
| Outputs |
|---|
(sqrt.f64 (+.f64 x y)) |
(sqrt.f64 (+.f64 y x)) |
(sqrt.f64 (+.f64 x y)) |
(sort x y)
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 6 | 6 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (+.f64 x y)) |
| Outputs |
|---|
(sqrt.f64 (+.f64 x y)) |
Compiled 6 to 4 computations (33.3% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 0.0b | (sqrt.f64 (+.f64 x y)) |
Compiled 6 to 4 computations (33.3% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (sqrt.f64 (+.f64 x y)) |
Compiled 11 to 4 computations (63.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (sqrt.f64 (+.f64 x y)) |
| 1.0ms | x | @ | 0 | (sqrt.f64 (+.f64 x y)) |
| 1.0ms | y | @ | 0 | (sqrt.f64 (+.f64 x y)) |
| 1.0ms | y | @ | inf | (sqrt.f64 (+.f64 x y)) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (+.f64 x y)) |
| 1× | batch-egg-rewrite |
| 592× | pow1_binary64 |
| 553× | add-log-exp_binary64 |
| 553× | log1p-expm1-u_binary64 |
| 553× | expm1-log1p-u_binary64 |
| 539× | add-exp-log_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 1 | 109 | 6 |
| 2 | 1507 | 6 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (+.f64 x y)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) 1/4) (pow.f64 (+.f64 x y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x y) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 x y)))))))) |
| 1× | egg-herbie |
| 679× | fma-def_binary64 |
| 577× | associate-+l+_binary64 |
| 544× | associate-+r+_binary64 |
| 457× | associate-*l*_binary64 |
| 388× | distribute-rgt-out_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 210 |
| 1 | 130 | 204 |
| 2 | 339 | 204 |
| 3 | 959 | 198 |
| 4 | 2937 | 198 |
| 5 | 4374 | 198 |
| 6 | 4938 | 198 |
| 7 | 6701 | 198 |
| 8 | 7725 | 198 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 y) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (sqrt.f64 y)))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))) |
| Outputs |
|---|
(sqrt.f64 y) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x (*.f64 x -1/8)) (sqrt.f64 y))) |
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x -1/8) (*.f64 1/2 (sqrt.f64 (/.f64 1 y)))) (sqrt.f64 y)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (sqrt.f64 y)))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3)) (sqrt.f64 y)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x (*.f64 x -1/8)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 1/16 (pow.f64 x 3)) (sqrt.f64 y)))) |
(fma.f64 x (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x -1/8) (*.f64 1/2 (sqrt.f64 (/.f64 1 y)))) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3)) (sqrt.f64 y))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))) |
(fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(fma.f64 y (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(fma.f64 -1/8 (*.f64 y (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))) |
(fma.f64 y (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 y (*.f64 y -1/8)) (sqrt.f64 x))) |
(fma.f64 y (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/8 (*.f64 y y)) (sqrt.f64 x))) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))) |
(fma.f64 -1/8 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))) |
(fma.f64 -1/8 (*.f64 y (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)))) |
(fma.f64 -1/8 (*.f64 y (*.f64 y (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 y (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 (pow.f64 y 3) 1/16) (sqrt.f64 x)))) |
(fma.f64 (pow.f64 y 3) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 y (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 y (*.f64 y -1/8)) (sqrt.f64 x)))) |
(fma.f64 y (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 (pow.f64 y 3) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 y (*.f64 y -1/8)) (sqrt.f64 x)))) |
(fma.f64 y (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 (pow.f64 y 3) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/8 (*.f64 y y)) (sqrt.f64 x)))) |
Compiled 473 to 281 computations (40.6% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 35 | 3 | 38 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 35 | 4 | 39 |
| Status | Error | Program |
|---|---|---|
| ▶ | 21.9b | (cbrt.f64 (pow.f64 (+.f64 x y) 3/2)) |
| ✓ | 0.0b | (sqrt.f64 (+.f64 x y)) |
| ▶ | 1.4b | (sqrt.f64 y) |
| ▶ | 0.5b | (pow.f64 (pow.f64 (+.f64 x y) 1/4) 2) |
Compiled 27 to 20 computations (25.9% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (+.f64 x y) 3/2) |
| ✓ | 21.0b | (cbrt.f64 (pow.f64 (+.f64 x y) 3/2)) |
Compiled 19 to 9 computations (52.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (pow.f64 (+.f64 x y) 3/2) |
| 1.0ms | y | @ | 0 | (pow.f64 (+.f64 x y) 3/2) |
| 1.0ms | x | @ | -inf | (pow.f64 (+.f64 x y) 3/2) |
| 1.0ms | y | @ | -inf | (pow.f64 (+.f64 x y) 3/2) |
| 1.0ms | x | @ | 0 | (pow.f64 (+.f64 x y) 3/2) |
| 1× | batch-egg-rewrite |
| 739× | pow1_binary64 |
| 698× | add-log-exp_binary64 |
| 698× | log1p-expm1-u_binary64 |
| 698× | expm1-log1p-u_binary64 |
| 681× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 16 |
| 1 | 154 | 13 |
| 2 | 1989 | 13 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (pow.f64 (+.f64 x y) 3/2)) |
(pow.f64 (+.f64 x y) 3/2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x y) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 x y) 3/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x y) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 x y)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 x y) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x y) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 x y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) 3/4) (pow.f64 (+.f64 x y) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (+.f64 x y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 3/2) (pow.f64 (cbrt.f64 (+.f64 x y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3/2) (pow.f64 (sqrt.f64 (+.f64 x y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x y) (cbrt.f64 (+.f64 x y))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x y) (sqrt.f64 (sqrt.f64 (+.f64 x y)))) (sqrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x y) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 x y) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x y) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x y) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log.f64 (+.f64 x y)))))))) |
| 1× | egg-herbie |
| 609× | associate-*r*_binary64 |
| 603× | associate-*l*_binary64 |
| 416× | associate-+l+_binary64 |
| 321× | *-commutative_binary64 |
| 307× | associate-+r+_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 1138 |
| 1 | 472 | 1076 |
| 2 | 1629 | 962 |
| 3 | 7112 | 870 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 y) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (sqrt.f64 y)))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))) |
(sqrt.f64 (pow.f64 y 3)) |
(+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 y 3))) |
(+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 y) x)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 (pow.f64 y 3)))) |
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 3))) (+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 y) x)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 (pow.f64 y 3))))) |
(sqrt.f64 (pow.f64 x 3)) |
(+.f64 (*.f64 3/2 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (pow.f64 x 3))) |
(+.f64 (*.f64 (+.f64 (*.f64 9/8 (pow.f64 y 2)) (*.f64 -3/4 (pow.f64 y 2))) (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 3/2 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (pow.f64 x 3)))) |
(+.f64 (*.f64 (+.f64 (*.f64 9/8 (pow.f64 y 2)) (*.f64 -3/4 (pow.f64 y 2))) (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 (+.f64 (*.f64 -9/8 (pow.f64 y 3)) (+.f64 (*.f64 9/16 (pow.f64 y 3)) (*.f64 1/2 (pow.f64 y 3)))) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/2 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (pow.f64 x 3))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 3/2 (/.f64 (*.f64 y (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 9/8 (pow.f64 y 2)) (*.f64 -3/4 (pow.f64 y 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 3/2 (/.f64 (*.f64 y (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -9/16 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 3)) (*.f64 9/8 (pow.f64 y 3))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 9/8 (pow.f64 y 2)) (*.f64 -3/4 (pow.f64 y 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 3/2 (/.f64 (*.f64 y (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x))))) |
(sqrt.f64 (pow.f64 x 3)) |
(+.f64 (*.f64 3/2 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (pow.f64 x 3))) |
(+.f64 (*.f64 3/2 (*.f64 y (sqrt.f64 x))) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 (pow.f64 x 3)))) |
(+.f64 (*.f64 3/2 (*.f64 y (sqrt.f64 x))) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 -1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) |
(sqrt.f64 (pow.f64 y 3)) |
(+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 y 3))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 9/8 (pow.f64 x 2)) (*.f64 -3/4 (pow.f64 x 2)))) (+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 y 3)))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 9/8 (pow.f64 x 2)) (*.f64 -3/4 (pow.f64 x 2)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -9/8 (pow.f64 x 3)) (*.f64 9/16 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 y 3))))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(+.f64 (*.f64 3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y)) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 9/8 (pow.f64 x 2)) (*.f64 -3/4 (pow.f64 x 2))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (pow.f64 y 2)) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y)) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 9/8 (pow.f64 x 2)) (*.f64 -3/4 (pow.f64 x 2))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (pow.f64 y 2)) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 9/8 (pow.f64 x 3)) (*.f64 -9/16 (pow.f64 x 3)))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (pow.f64 y 3))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))) |
| Outputs |
|---|
(sqrt.f64 y) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y)) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y))) |
(fma.f64 -1/8 (*.f64 x (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y))) |
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3))) (sqrt.f64 y)))) |
(fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3)) (sqrt.f64 y)))) |
(fma.f64 -1/8 (*.f64 x (*.f64 x (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (pow.f64 x 3)) (sqrt.f64 y)))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))) |
(fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(fma.f64 -1/8 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))) |
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))) |
(fma.f64 -1/8 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))) |
(fma.f64 -1/8 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)))) |
(sqrt.f64 (pow.f64 y 3)) |
(pow.f64 y 3/2) |
(+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 y 3))) |
(fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (sqrt.f64 (pow.f64 y 3))) |
(fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (pow.f64 y 3/2)) |
(+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 y) x)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 (pow.f64 y 3)))) |
(fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (fma.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x x)) (sqrt.f64 (pow.f64 y 3)))) |
(fma.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (*.f64 x 3/8)) (fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (sqrt.f64 (pow.f64 y 3)))) |
(fma.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (*.f64 x 3/8)) (fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (pow.f64 y 3/2))) |
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 3))) (+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 y) x)) (+.f64 (*.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 y)) (pow.f64 x 2))) (sqrt.f64 (pow.f64 y 3))))) |
(fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 3)) (fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (fma.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x x)) (sqrt.f64 (pow.f64 y 3))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) -1/16) (pow.f64 x 3) (fma.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (*.f64 x 3/8)) (fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (sqrt.f64 (pow.f64 y 3))))) |
(fma.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (*.f64 x 3/8)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 (pow.f64 x 3) -1/16) (fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (pow.f64 y 3/2)))) |
(sqrt.f64 (pow.f64 x 3)) |
(pow.f64 x 3/2) |
(+.f64 (*.f64 3/2 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (pow.f64 x 3))) |
(fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3))) |
(fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (pow.f64 x 3/2)) |
(+.f64 (*.f64 (+.f64 (*.f64 9/8 (pow.f64 y 2)) (*.f64 -3/4 (pow.f64 y 2))) (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 3/2 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (pow.f64 x 3)))) |
(fma.f64 (*.f64 (*.f64 y y) 3/8) (sqrt.f64 (/.f64 1 x)) (fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3)))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (*.f64 y 3/8)) (fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3)))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (*.f64 y 3/8)) (fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (pow.f64 x 3/2))) |
(+.f64 (*.f64 (+.f64 (*.f64 9/8 (pow.f64 y 2)) (*.f64 -3/4 (pow.f64 y 2))) (sqrt.f64 (/.f64 1 x))) (+.f64 (*.f64 (+.f64 (*.f64 -9/8 (pow.f64 y 3)) (+.f64 (*.f64 9/16 (pow.f64 y 3)) (*.f64 1/2 (pow.f64 y 3)))) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 3/2 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (pow.f64 x 3))))) |
(fma.f64 (*.f64 (*.f64 y y) 3/8) (sqrt.f64 (/.f64 1 x)) (fma.f64 (fma.f64 -9/8 (pow.f64 y 3) (*.f64 (pow.f64 y 3) 17/16)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (*.f64 y 3/8)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (pow.f64 y 3) -1/16) (fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (*.f64 y 3/8)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (pow.f64 y 3) -1/16) (fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (pow.f64 x 3/2)))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) |
(pow.f64 (exp.f64 3/2) (log.f64 x)) |
(+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 3/2 (/.f64 (*.f64 y (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x))) |
(+.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 3/2 (/.f64 y (/.f64 x (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))) |
(fma.f64 3/2 (*.f64 (/.f64 y x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) |
(fma.f64 3/2 (*.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) (/.f64 y x)) (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2))) |
(fma.f64 3/2 (*.f64 (pow.f64 (exp.f64 3/2) (log.f64 x)) (/.f64 y x)) (pow.f64 (exp.f64 3/2) (log.f64 x))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 9/8 (pow.f64 y 2)) (*.f64 -3/4 (pow.f64 y 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 3/2 (/.f64 (*.f64 y (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x)))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 3/2 (/.f64 y (/.f64 x (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))) (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3/8)))) |
(+.f64 (fma.f64 3/2 (*.f64 (/.f64 y x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (*.f64 y (*.f64 y 3/8)))) |
(+.f64 (fma.f64 3/2 (*.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) (/.f64 y x)) (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2))) (*.f64 (*.f64 y (*.f64 y 3/8)) (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) -3/2) x) (/.f64 (pow.f64 -1 3/2) x)))) |
(+.f64 (fma.f64 3/2 (*.f64 (pow.f64 (exp.f64 3/2) (log.f64 x)) (/.f64 y x)) (pow.f64 (exp.f64 3/2) (log.f64 x))) (*.f64 (*.f64 y (*.f64 y 3/8)) (/.f64 (pow.f64 (exp.f64 3/2) (log.f64 x)) (*.f64 x x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -9/16 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 3)) (*.f64 9/8 (pow.f64 y 3))))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 9/8 (pow.f64 y 2)) (*.f64 -3/4 (pow.f64 y 2)))) (pow.f64 x 2)) (+.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 3/2 (/.f64 (*.f64 y (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) x))))) |
(fma.f64 -1 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (pow.f64 x 3) (fma.f64 -9/16 (pow.f64 y 3) (*.f64 (pow.f64 y 3) 5/8)))) (+.f64 (+.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 3/2 (/.f64 y (/.f64 x (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))) (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3/8))))) |
(-.f64 (+.f64 (fma.f64 3/2 (*.f64 (/.f64 y x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (*.f64 y (*.f64 y 3/8)))) (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 1/16)))) |
(+.f64 (fma.f64 3/2 (*.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) (/.f64 y x)) (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2))) (-.f64 (*.f64 (*.f64 y (*.f64 y 3/8)) (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) -3/2) x) (/.f64 (pow.f64 -1 3/2) x))) (*.f64 (*.f64 (pow.f64 y 3) 1/16) (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) -3/2) (pow.f64 -1 3/2)) (pow.f64 x 3))))) |
(+.f64 (fma.f64 3/2 (*.f64 (pow.f64 (exp.f64 3/2) (log.f64 x)) (/.f64 y x)) (pow.f64 (exp.f64 3/2) (log.f64 x))) (fma.f64 (*.f64 y (*.f64 y 3/8)) (/.f64 (pow.f64 (exp.f64 3/2) (log.f64 x)) (*.f64 x x)) (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (log.f64 x)) (pow.f64 x 3)) (*.f64 (pow.f64 y 3) -1/16)))) |
(sqrt.f64 (pow.f64 x 3)) |
(pow.f64 x 3/2) |
(+.f64 (*.f64 3/2 (*.f64 y (sqrt.f64 x))) (sqrt.f64 (pow.f64 x 3))) |
(fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3))) |
(fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (pow.f64 x 3/2)) |
(+.f64 (*.f64 3/2 (*.f64 y (sqrt.f64 x))) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 (pow.f64 x 3)))) |
(fma.f64 (*.f64 (*.f64 y y) 3/8) (sqrt.f64 (/.f64 1 x)) (fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3)))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (*.f64 y 3/8)) (fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3)))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (*.f64 y 3/8)) (fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (pow.f64 x 3/2))) |
(+.f64 (*.f64 3/2 (*.f64 y (sqrt.f64 x))) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 -1/16 (*.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))) |
(fma.f64 (*.f64 (*.f64 y y) 3/8) (sqrt.f64 (/.f64 1 x)) (fma.f64 (fma.f64 -9/8 (pow.f64 y 3) (*.f64 (pow.f64 y 3) 17/16)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (*.f64 y 3/8)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (pow.f64 y 3) -1/16) (fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (sqrt.f64 (pow.f64 x 3))))) |
(fma.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 y (*.f64 y 3/8)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (pow.f64 y 3) -1/16) (fma.f64 3/2 (*.f64 y (sqrt.f64 x)) (pow.f64 x 3/2)))) |
(sqrt.f64 (pow.f64 y 3)) |
(pow.f64 y 3/2) |
(+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 y 3))) |
(fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (sqrt.f64 (pow.f64 y 3))) |
(fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (pow.f64 y 3/2)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 9/8 (pow.f64 x 2)) (*.f64 -3/4 (pow.f64 x 2)))) (+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 y 3)))) |
(fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (fma.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x x)) (sqrt.f64 (pow.f64 y 3)))) |
(fma.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (*.f64 x 3/8)) (fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (sqrt.f64 (pow.f64 y 3)))) |
(fma.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (*.f64 x 3/8)) (fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (pow.f64 y 3/2))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 y)) (+.f64 (*.f64 9/8 (pow.f64 x 2)) (*.f64 -3/4 (pow.f64 x 2)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 -9/8 (pow.f64 x 3)) (*.f64 9/16 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (+.f64 (*.f64 3/2 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 y 3))))) |
(fma.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 3)) (fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (fma.f64 3/8 (*.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x x)) (sqrt.f64 (pow.f64 y 3))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) -1/16) (pow.f64 x 3) (fma.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (*.f64 x 3/8)) (fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (sqrt.f64 (pow.f64 y 3))))) |
(fma.f64 (sqrt.f64 (/.f64 1 y)) (*.f64 x (*.f64 x 3/8)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 (pow.f64 x 3) -1/16) (fma.f64 3/2 (*.f64 (sqrt.f64 y) x) (pow.f64 y 3/2)))) |
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) |
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) |
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) |
(*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 y) -3/2)) |
(pow.f64 (exp.f64 3/2) (log.f64 y)) |
(+.f64 (*.f64 3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y)) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) |
(fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (/.f64 y x)) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) |
(fma.f64 3/2 (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) y) x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) |
(fma.f64 3/2 (*.f64 x (/.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 y) -3/2)) y)) (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 y) -3/2))) |
(fma.f64 3/2 (*.f64 x (/.f64 (pow.f64 (exp.f64 3/2) (log.f64 y)) y)) (pow.f64 (exp.f64 3/2) (log.f64 y))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 9/8 (pow.f64 x 2)) (*.f64 -3/4 (pow.f64 x 2))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (pow.f64 y 2)) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y)) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))) |
(+.f64 (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (/.f64 y x)) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) (/.f64 (*.f64 (*.f64 x x) 3/8) (/.f64 (*.f64 y y) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))))) |
(+.f64 (fma.f64 3/2 (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) y) x) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) (*.f64 (/.f64 (*.f64 x (*.f64 x 3/8)) y) (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) y))) |
(+.f64 (*.f64 3/2 (*.f64 x (/.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 y) -3/2)) y))) (*.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 x 3/8) y)) 1) (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 y) -3/2)))) |
(+.f64 (*.f64 3/2 (*.f64 x (/.f64 (pow.f64 (exp.f64 3/2) (log.f64 y)) y))) (*.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 x 3/8) y)) 1) (pow.f64 (exp.f64 3/2) (log.f64 y)))) |
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 9/8 (pow.f64 x 2)) (*.f64 -3/4 (pow.f64 x 2))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (pow.f64 y 2)) (+.f64 (*.f64 3/2 (/.f64 (*.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 9/8 (pow.f64 x 3)) (*.f64 -9/16 (pow.f64 x 3)))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (pow.f64 y 3))) (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) 3/8) (/.f64 (*.f64 y y) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (/.f64 y x)) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 9/16)) (/.f64 (pow.f64 y 3) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))) (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x 3/8)) y) (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) y)) (fma.f64 3/2 (*.f64 (/.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) y) x) (-.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (*.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/16) (pow.f64 y 3)) (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))))) |
(+.f64 (fma.f64 3/2 (*.f64 x (/.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 y) -3/2)) y)) (/.f64 (*.f64 (pow.f64 x 3) -1/16) (/.f64 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 -1 y) -3/2)) (pow.f64 -1 3/2)))) (*.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 x 3/8) y)) 1) (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 y) -3/2)))) |
(+.f64 (*.f64 3/2 (*.f64 x (/.f64 (pow.f64 (exp.f64 3/2) (log.f64 y)) y))) (fma.f64 (+.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 x 3/8) y)) 1) (pow.f64 (exp.f64 3/2) (log.f64 y)) (*.f64 (/.f64 (*.f64 (pow.f64 x 3) -1/16) (pow.f64 y 3)) (pow.f64 (exp.f64 3/2) (log.f64 y))))) |
Compiled 5 to 3 computations (40% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.5b | (pow.f64 (pow.f64 (+.f64 x y) 1/4) 2) |
Compiled 21 to 11 computations (47.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (pow.f64 (pow.f64 (+.f64 x y) 1/4) 2) |
| 2.0ms | x | @ | inf | (pow.f64 (pow.f64 (+.f64 x y) 1/4) 2) |
| 2.0ms | y | @ | -inf | (pow.f64 (pow.f64 (+.f64 x y) 1/4) 2) |
| 2.0ms | x | @ | -inf | (pow.f64 (pow.f64 (+.f64 x y) 1/4) 2) |
| 2.0ms | y | @ | inf | (pow.f64 (pow.f64 (+.f64 x y) 1/4) 2) |
| 1× | batch-egg-rewrite |
| 801× | pow1_binary64 |
| 752× | add-log-exp_binary64 |
| 751× | log1p-expm1-u_binary64 |
| 751× | expm1-log1p-u_binary64 |
| 734× | add-exp-log_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 7 |
| 1 | 182 | 6 |
| 2 | 2191 | 6 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (+.f64 x y) 1/4) 2) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) 1/4) (pow.f64 (+.f64 x y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 1/4)) (pow.f64 (+.f64 x y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x y) 1/8) (*.f64 (pow.f64 (+.f64 x y) 1/8) (pow.f64 (+.f64 x y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 x y) 1/4) (pow.f64 (+.f64 x y) 1/8)) (pow.f64 (+.f64 x y) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 x y) 1/4) (cbrt.f64 (sqrt.f64 (+.f64 x y)))) (cbrt.f64 (pow.f64 (+.f64 x y) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 x x (neg.f64 (*.f64 y y)))) (sqrt.f64 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (sqrt.f64 (fma.f64 x x (*.f64 y (-.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 y) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (+.f64 x y)))))))) |
| 1× | egg-herbie |
| 519× | associate-+l+_binary64 |
| 449× | associate-+r+_binary64 |
| 367× | distribute-lft-in_binary64 |
| 367× | distribute-rgt-in_binary64 |
| 252× | unswap-sqr_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 1380 |
| 1 | 575 | 1278 |
| 2 | 2335 | 1147 |
| 3 | 6744 | 931 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 y) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (sqrt.f64 y) (*.f64 (+.f64 (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (pow.f64 x 2)))) |
(+.f64 (*.f64 (+.f64 (*.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (pow.f64 x 3)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (sqrt.f64 y) (*.f64 (+.f64 (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (pow.f64 x 2))))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 2)) (*.f64 1/32 (pow.f64 y 2))) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 y (+.f64 (*.f64 -1/8 (pow.f64 y 2)) (*.f64 1/32 (pow.f64 y 2)))) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 2)) (*.f64 1/32 (pow.f64 y 2))) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/384 (pow.f64 y 3)) (+.f64 (*.f64 1/12 (pow.f64 y 3)) (*.f64 -1/32 (pow.f64 y 3)))) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))))) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) |
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) y) x))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (*.f64 -1/8 (pow.f64 y 2)) (*.f64 1/32 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) y) x)) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 y 2)) (pow.f64 x 2)))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (*.f64 y (+.f64 (*.f64 -1/8 (pow.f64 y 2)) (*.f64 1/32 (pow.f64 y 2)))))) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/32 (pow.f64 y 3)) (+.f64 (*.f64 -1/384 (pow.f64 y 3)) (*.f64 -1/12 (pow.f64 y 3))))))) (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (*.f64 -1/8 (pow.f64 y 2)) (*.f64 1/32 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) y) x)) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 y 2)) (pow.f64 x 2))))))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))) |
(+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))) |
(sqrt.f64 y) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/32 (pow.f64 x 2))))) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (sqrt.f64 y)))) |
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 3)) (+.f64 (*.f64 1/384 (pow.f64 x 3)) (*.f64 -1/32 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/32 (pow.f64 x 2))) x))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/32 (pow.f64 x 2))))) (sqrt.f64 y)))))) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) |
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) x) y))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/32 (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2)) (pow.f64 y 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2)) (pow.f64 y 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) x) y))))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 -1/384 (pow.f64 x 3)) (*.f64 -1/12 (pow.f64 x 3)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/32 (pow.f64 x 2))) (*.f64 x (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2))))) (pow.f64 y 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/32 (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2)) (pow.f64 y 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2)) (pow.f64 y 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) x) y)))))) |
| Outputs |
|---|
(sqrt.f64 y) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y)) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 y))) x (sqrt.f64 y)) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (sqrt.f64 y) (*.f64 (+.f64 (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (pow.f64 x 2)))) |
(+.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) -1/8) (*.f64 x x))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) -1/8) (*.f64 x x) (sqrt.f64 y))) |
(+.f64 (*.f64 (+.f64 (*.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (*.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (pow.f64 x 3)) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (sqrt.f64 y) (*.f64 (+.f64 (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3)))) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 3))))) (pow.f64 x 2))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) 1/16) (pow.f64 x 3) (+.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) -1/8) (*.f64 x x)))) |
(fma.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 y 5)))) (pow.f64 x 3) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) -1/8) (*.f64 x x) (sqrt.f64 y)))) |
(sqrt.f64 x) |
(+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))) |
(fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
(+.f64 (*.f64 1/16 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 2)) (*.f64 1/32 (pow.f64 y 2))) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))) |
(fma.f64 1/16 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (*.f64 y y) -3/32)) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))) |
(+.f64 (fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (*.f64 y y)) (*.f64 2 (*.f64 y (*.f64 y -3/32)))))) |
(+.f64 (fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 1/16 y) y) (*.f64 2 (*.f64 y (*.f64 y -3/32)))))) |
(+.f64 (*.f64 1/2 (*.f64 (*.f64 y (+.f64 (*.f64 -1/8 (pow.f64 y 2)) (*.f64 1/32 (pow.f64 y 2)))) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 y 2) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 y 2)) (*.f64 1/32 (pow.f64 y 2))) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/384 (pow.f64 y 3)) (+.f64 (*.f64 1/12 (pow.f64 y 3)) (*.f64 -1/32 (pow.f64 y 3)))) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))))) |
(fma.f64 1/2 (*.f64 (*.f64 y (*.f64 (*.f64 y y) -3/32)) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 1/16 (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (fma.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (*.f64 y y) -3/32)) (fma.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/384 (pow.f64 y 3) (*.f64 (pow.f64 y 3) 5/96))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))))) |
(fma.f64 1/2 (*.f64 (*.f64 (pow.f64 y 3) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (fma.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 (pow.f64 y 3) 7/128)) (fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (*.f64 y y)) (*.f64 2 (*.f64 y (*.f64 y -3/32))))))) |
(fma.f64 1/2 (*.f64 (*.f64 (pow.f64 y 3) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (fma.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 (pow.f64 y 3) 7/128)) (fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 (*.f64 1/16 y) y) (*.f64 2 (*.f64 y (*.f64 y -3/32))))))) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) |
(pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 x) -1/4)) 2) |
(sqrt.f64 (exp.f64 (log.f64 x))) |
(+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) y) x))) |
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (/.f64 x y)))) |
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) y) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)) |
(fma.f64 1/2 (*.f64 (/.f64 y x) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 x) -1/4)) 2)) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 x) -1/4)) 2)) |
(fma.f64 1/2 (*.f64 (/.f64 y x) (sqrt.f64 (exp.f64 (log.f64 x)))) (sqrt.f64 (exp.f64 (log.f64 x)))) |
(+.f64 (*.f64 2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (*.f64 -1/8 (pow.f64 y 2)) (*.f64 1/32 (pow.f64 y 2)))) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) y) x)) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 y 2)) (pow.f64 x 2)))))) |
(fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) -3/32))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (/.f64 x y)) (*.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (/.f64 (*.f64 x x) (*.f64 y y))))))) |
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) y) (*.f64 1/16 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x)))) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (/.f64 (*.f64 y (*.f64 y -3/32)) x)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))) |
(fma.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 y x) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 x) -1/4)) 2)) (/.f64 y x)) -3/32) (+.f64 (fma.f64 1/2 (*.f64 (/.f64 y x) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 x) -1/4)) 2)) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 x) -1/4)) 2)) (*.f64 (*.f64 (/.f64 y x) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 x) -1/4)) 2)) (/.f64 1/16 (/.f64 x y))))) |
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(fma.f64 -1 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 y (*.f64 (*.f64 y y) -3/32)) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (fma.f64 1/32 (pow.f64 y 3) (*.f64 (pow.f64 y 3) -11/128))))) (pow.f64 x 3)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (/.f64 (*.f64 x x) (*.f64 (*.f64 y y) -3/32))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (fma.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (/.f64 x y)) (*.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (/.f64 (*.f64 x x) (*.f64 y y)))))))) |
(-.f64 (+.f64 (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) y) (*.f64 1/16 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x)))) (fma.f64 2 (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (/.f64 (*.f64 y (*.f64 y -3/32)) x)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))) (/.f64 (fma.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) -1/2) (*.f64 (pow.f64 y 3) -3/32) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 (*.f64 (pow.f64 y 3) -7/128) 2))) (pow.f64 x 3))) |
(-.f64 (fma.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 y x) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 x) -1/4)) 2)) (/.f64 y x)) -3/32) (+.f64 (fma.f64 1/2 (*.f64 (/.f64 y x) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 x) -1/4)) 2)) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 x) -1/4)) 2)) (*.f64 (*.f64 (/.f64 y x) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 x) -1/4)) 2)) (/.f64 1/16 (/.f64 x y))))) (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 x) -1/4)) 2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 y 3) -3/32)) (*.f64 2 (*.f64 (pow.f64 y 3) -7/128)))) (pow.f64 x 3))) |
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(sqrt.f64 x) |
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(fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)) |
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(fma.f64 (*.f64 y y) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x)))))) |
(fma.f64 (*.f64 y y) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8) (fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x))) |
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 7/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -3/64 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))) (+.f64 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/16 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))) |
(fma.f64 (pow.f64 y 3) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 1/16) (fma.f64 (*.f64 y y) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8) (+.f64 (sqrt.f64 x) (*.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))))))) |
(fma.f64 (pow.f64 y 3) (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (fma.f64 (*.f64 y y) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1/8) (fma.f64 1/2 (*.f64 y (sqrt.f64 (/.f64 1 x))) (sqrt.f64 x)))) |
(sqrt.f64 y) |
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (sqrt.f64 y)) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y)) |
(fma.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 y))) x (sqrt.f64 y)) |
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(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 (*.f64 x x) -3/32)) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)) (sqrt.f64 y)))) |
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) 2) (*.f64 x (*.f64 x -3/32)) (sqrt.f64 y)))) |
(+.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 2 (*.f64 x (*.f64 x -3/32))) (*.f64 1/16 (*.f64 x x))))) |
(+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 3)) (+.f64 (*.f64 1/384 (pow.f64 x 3)) (*.f64 -1/32 (pow.f64 x 3)))) (sqrt.f64 (/.f64 1 (pow.f64 y 5))))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/32 (pow.f64 x 2))) x))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x)) (+.f64 (*.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (pow.f64 x 2))) (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/32 (pow.f64 x 2))))) (sqrt.f64 y)))))) |
(fma.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (fma.f64 1/12 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -11/384))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 x (*.f64 (*.f64 x x) -3/32))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)) (fma.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 (*.f64 x x) -3/32)) (sqrt.f64 y)))))) |
(fma.f64 2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 (pow.f64 x 3) 7/128)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (*.f64 (pow.f64 x 3) -3/32)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (fma.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (*.f64 x x)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) 2) (*.f64 x (*.f64 x -3/32)) (sqrt.f64 y)))))) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 3))) (+.f64 (*.f64 2 (*.f64 x (*.f64 x -3/32))) (*.f64 1/16 (*.f64 x x)))) (+.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 y)) x) (sqrt.f64 y)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 y 5))) (+.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 7/128)) (*.f64 1/2 (*.f64 (pow.f64 x 3) -3/32)))))) |
(pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2) |
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2) |
(pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2) |
(sqrt.f64 (exp.f64 (log.f64 y))) |
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(fma.f64 1/2 (/.f64 x (/.f64 y (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2)) |
(fma.f64 1/2 (*.f64 (/.f64 x y) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)) |
(fma.f64 1/2 (*.f64 (/.f64 x y) (sqrt.f64 (exp.f64 (log.f64 y)))) (sqrt.f64 (exp.f64 (log.f64 y)))) |
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(fma.f64 2 (/.f64 (*.f64 (*.f64 x x) -3/32) (/.f64 (*.f64 y y) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2) (fma.f64 1/16 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2))) (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2) (/.f64 y x)))))) |
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 y (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2))) (/.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (*.f64 y y) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2)))) (fma.f64 2 (*.f64 (/.f64 (*.f64 x (*.f64 x -3/32)) y) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2) y)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2))) |
(fma.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 x y) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)) (/.f64 x y)) -3/32) (+.f64 (fma.f64 1/2 (*.f64 (/.f64 x y) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)) (*.f64 (/.f64 (*.f64 1/16 (*.f64 x x)) y) (/.f64 (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2) y)))) |
(fma.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 x y) (sqrt.f64 (exp.f64 (log.f64 y)))) (/.f64 x y)) -3/32) (+.f64 (fma.f64 1/2 (*.f64 (/.f64 x y) (sqrt.f64 (exp.f64 (log.f64 y)))) (sqrt.f64 (exp.f64 (log.f64 y)))) (*.f64 (/.f64 (*.f64 1/16 (*.f64 x x)) y) (/.f64 (sqrt.f64 (exp.f64 (log.f64 y))) y)))) |
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/32 (pow.f64 x 3)) (+.f64 (*.f64 -1/384 (pow.f64 x 3)) (*.f64 -1/12 (pow.f64 x 3)))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2))) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/32 (pow.f64 x 2))) (*.f64 x (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2))))) (pow.f64 y 3))) (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 2)) (*.f64 1/32 (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2)) (pow.f64 y 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 x 2) (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2)) (pow.f64 y 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) 2) x) y)))))) |
(fma.f64 -1 (/.f64 (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2) (fma.f64 1/32 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -11/128))) (*.f64 -1/2 (*.f64 (*.f64 (*.f64 x x) -3/32) (*.f64 x (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2))))) (pow.f64 y 3)) (fma.f64 2 (/.f64 (*.f64 (*.f64 x x) -3/32) (/.f64 (*.f64 y y) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2) (fma.f64 1/16 (/.f64 (*.f64 x x) (/.f64 (*.f64 y y) (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2))) (*.f64 1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) 2) (/.f64 y x))))))) |
(-.f64 (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 y (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2))) (/.f64 (*.f64 (*.f64 x x) 1/16) (/.f64 (*.f64 y y) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2)))) (fma.f64 2 (*.f64 (/.f64 (*.f64 x (*.f64 x -3/32)) y) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2) y)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2))) (/.f64 (fma.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2) (*.f64 (pow.f64 x 3) -7/128)) (*.f64 -1/2 (*.f64 (*.f64 (pow.f64 x 3) -3/32) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) 2)))) (pow.f64 y 3))) |
(-.f64 (fma.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 x y) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)) (/.f64 x y)) -3/32) (+.f64 (fma.f64 1/2 (*.f64 (/.f64 x y) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)) (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2)) (*.f64 (/.f64 (*.f64 1/16 (*.f64 x x)) y) (/.f64 (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2) y)))) (/.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 y) -1/4)) 2) (+.f64 (*.f64 2 (*.f64 (pow.f64 x 3) -7/128)) (*.f64 -1/2 (*.f64 (pow.f64 x 3) -3/32)))) (pow.f64 y 3))) |
(-.f64 (fma.f64 2 (*.f64 (*.f64 (*.f64 (/.f64 x y) (sqrt.f64 (exp.f64 (log.f64 y)))) (/.f64 x y)) -3/32) (+.f64 (fma.f64 1/2 (*.f64 (/.f64 x y) (sqrt.f64 (exp.f64 (log.f64 y)))) (sqrt.f64 (exp.f64 (log.f64 y)))) (*.f64 (/.f64 (*.f64 1/16 (*.f64 x x)) y) (/.f64 (sqrt.f64 (exp.f64 (log.f64 y))) y)))) (/.f64 (*.f64 (sqrt.f64 (exp.f64 (log.f64 y))) (+.f64 (*.f64 2 (*.f64 (pow.f64 x 3) -7/128)) (*.f64 -1/2 (*.f64 (pow.f64 x 3) -3/32)))) (pow.f64 y 3))) |
Compiled 3617 to 2475 computations (31.6% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 153 | 0 | 153 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 153 | 4 | 157 |
| Status | Error | Program |
|---|---|---|
| ✓ | 21.9b | (cbrt.f64 (pow.f64 (+.f64 x y) 3/2)) |
| ✓ | 0.0b | (sqrt.f64 (+.f64 x y)) |
| ✓ | 1.4b | (sqrt.f64 y) |
| ✓ | 0.5b | (pow.f64 (pow.f64 (+.f64 x y) 1/4) 2) |
Compiled 27 to 20 computations (25.9% saved)
Total -23.1b remaining (-295817.5%)
Threshold costs -23.1b (-295817.5%)
| Inputs |
|---|
(sqrt.f64 y) |
(sqrt.f64 (+.f64 x y)) |
(cbrt.f64 (pow.f64 (+.f64 x y) 3/2)) |
(pow.f64 (pow.f64 (+.f64 x y) 1/4) 2) |
| Outputs |
|---|
(sqrt.f64 (+.f64 x y)) |
4 calls:
| 5.0ms | x |
| 5.0ms | (+.f64 x y) |
| 4.0ms | (sqrt.f64 (+.f64 x y)) |
| 4.0ms | y |
| Error | Segments | Branch |
|---|---|---|
| 0.0b | 1 | x |
| 0.0b | 1 | y |
| 0.0b | 1 | (sqrt.f64 (+.f64 x y)) |
| 0.0b | 1 | (+.f64 x y) |
Compiled 38 to 23 computations (39.5% saved)
| 1× | egg-herbie |
| 1× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 7 | 9 |
| 1× | done |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (+.f64 x y)) |
(sqrt.f64 y) |
| Outputs |
|---|
(sqrt.f64 (+.f64 x y)) |
(sqrt.f64 y) |
Compiled 10 to 7 computations (30% saved)
(sort x y)
Compiled 20 to 13 computations (35% saved)
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